T HARMONIC VOLTAGE DISTORTION AND THE...Resonant Plant to supply systems. This staged approach...
Transcript of T HARMONIC VOLTAGE DISTORTION AND THE...Resonant Plant to supply systems. This staged approach...
DRAFT
ENGINEERING RECOMMENDATION G5/5
HARMONIC VOLTAGE DISTORTION AND THE
CONNECTION OF NON-LINEAR AND RESONANT
PLANT AND EQUIPMENT TO TRANSMISSION
SYSTEMS AND DISTRIBUTION NETWORKS IN THE
UNITED KINGDOM Comment [DMJ1]: The Titlehas Changed to Include theterm ’Resonant Equipment’since this is as applicable forthe connection of HV Cableset. al. as it is for the con-nection of Non-Linear Load.
Comment [DMJ1]: The Titlehas Changed to Include theterm ’Resonant Equipment’since this is as applicable forthe connection of HV Cableset. al. as it is for the con-nection of Non-Linear Load.
Energy Networks Association
January 2015
1
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ER G5/5, January 2015
Foreword
Engineering Recommendation G5/5 supersedes Engineering Recommendation G5/4-1 on
1st MONTH YEAR . Engineering Recommendation G5/4-1 will be withdrawn on that date. Comment [DMJ2]: Obvi-ously this date is presentlyundefined.
Comment [DMJ2]: Obvi-ously this date is presentlyundefined.For practical reasons, connections subject to contract specifications based on Engineering
Recommendation G5/4-1 entered into before the effective date above may, at the discre-
tion of the Network Operator, be connected in accordance with that recommendation.
Acknowledgement
Acknowledgements to be developed.
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CONTENTS ER G5/5, January 2015
Contents
1 Introduction 5
1.1 Scope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.2 Exclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.3 Normative References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.4 Terms and Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2 Principles of Harmonic Voltage Distortion 11
2.1 Roles and Responsibilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2.2 The Distinction between Planning and Compatibility Levels . . . . . . . . . . . . . . 12
3 Harmonic Voltage Distortion Levels 13
3.1 Planning Levels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
3.2 Compatibility Levels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
4 Assessment of Non-Linear and Resonant Connections 18
4.1 Guidelines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
4.1.1 Point of Evaluation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
4.1.2 System Impedance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
4.1.3 Aggregation and Diversity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
4.1.4 Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
4.1.5 Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
4.1.6 Sub-Harmonic and Inter-harmonic Distortion . . . . . . . . . . . . . . . . . . . 23
4.1.7 Short-Duration Bursts and Fluctuating Harmonic Distortion . . . . . . . . . 23
4.1.8 Notching . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
4.1.9 Marginal Results under Stage A and Stage B . . . . . . . . . . . . . . . . . . . 25
4.2 Stage A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
4.3 Stage B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
4.3.1 Calculation of the Connection Headroom . . . . . . . . . . . . . . . . . . . . . 28
4.3.2 Assessment of Resonant Conditions . . . . . . . . . . . . . . . . . . . . . . . . . 29
4.3.3 Assessment of Emissions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
4.4 Stage C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
4.4.1 Identification of Remote Electrical Nodes . . . . . . . . . . . . . . . . . . . . . 32
4.4.2 Harmonic Impedance Representation of the Network . . . . . . . . . . . . . 32
4.4.3 Harmonic Design Specification . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
4.4.4 Harmonic Performance Specification . . . . . . . . . . . . . . . . . . . . . . . . 35
4.4.5 Dealing with Concurrent Connections . . . . . . . . . . . . . . . . . . . . . . . . 36
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CONTENTS ER G5/5, January 2015
5 Conclusion 39
References 40
Appendices 42
A Stage A Assessment Examples 42
A.1 Application of Equation 8 as the Stage A Qualifying Criterion . . . . . . . . . . . . 42
A.1.1 Connection of a Water Treatment Facility to an Existing Substation . . . . 42
A.1.2 Variation of Equation 8 With the Number of PCC Connections . . . . . . . . 43
A.1.3 Assessment Based on Non-Linear and Resonant Plant Capacity . . . . . . . 44
A.2 Calculation of Harmonic Current Limits Using Equation 9 . . . . . . . . . . . . . . . 45
A.3 Application of PWHD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
A.4 Low Voltage Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
A.4.1 Connection of a 50 kVA Three-Phase Low Voltage Heat Pump . . . . . . . . 47
A.4.2 Connection of a 50 kVA Three-Phase Electric Vehicle Charger . . . . . . . . 48
A.4.3 Connection of a 10.35 kVA Single Phase Heat Pump . . . . . . . . . . . . . . 49
B Stage B Assessment Examples 51
B.1 Headroom Calculations Using Equations 10, 11 and 12 . . . . . . . . . . . . . . . . 51
B.2 Ensuring Resonance Compliance Using Equation 13 . . . . . . . . . . . . . . . . . . 52
B.3 Calculation of Harmonic Impedances and Current Limits Using Equations 14
and 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
C Intermediary Voltage Distortion Levels 58
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1 INTRODUCTION ER G5/5, January 2015
1 Introduction
The Electromagnetic Compatibility Regulations 2006[1], which implements into UK law the
Electromagnetic Compatibility Directive 2004/108/EC of the European Parliament[2], de-
fines the interaction of Equipment and Fixed Installations such that:
Regulation 4: “Equipment shall be designed and manufactured, having regard
to the state of the art, so as to ensure that it has a level of immunity to the
electromagnetic disturbance to be expected in its intended use which allows it to
operate without unacceptable degradation of its intended use”, and
Regulation 5: “A Fixed Installation shall be installed applying good engineering
practices; and respecting the information on the intended use of its components,
with a view to meeting the essential requirements set out in regulation 4.”
This Recommendation defines the good engineering practices applicable to harmonic volt-
age distortion on transmission and distributions systems in the UK, being Fixed Installations
by definition, so as to limit the disturbance levels thereon to below the immunity levels of
Equipment connected thereto.
Disturbance levels on supply systems are defined in terms of harmonic voltage distortion
and are affected by emissions of Non-Linear loads and generating plant as well as the con-
nection of Resonant Plant which modifies already existing disturbance levels. This recom-
mendation provides Planning and Compatibility disturbance levels on UK transmission and
distribution networks as well as a staged assessment plan for the connection of Non-Linear
and Resonant Plant and Equipment.
Section 2 defines the guiding principles of harmonic voltage distortion along with the roles
and responsibilities of the various parties involved in the electricity market. Specifically, it
covers the distinction between Planning, Compatibility and Immunity levels.
Section 3 defines the Planning and Compatibility limits applicable to the UK transmission
and distribution systems.
Section 4 describes a three-staged approach of assessing the connection of Non-Linear and
Resonant Plant to supply systems. This staged approach limits the assessment detail to an
approximate level to match the context of the connection being assessed, thus enabling
a pragmatic connection of plant and equipment. An assessment shall result in harmonic
voltage distortion and/or emission limits which shall inform the design of any necessary
mitigation measures, as required under the relevant transmission, distribution or genera-
tion licence or indeed the customer connection agreement as applicable.
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1 INTRODUCTION ER G5/5, January 2015
There may be exceptional circumstances that can enable a Network Owner to permit a con-
nection of Non-Linear or Resonant Plant which is likely to cause levels of system voltage
distortion to exceed Planning Levels. However, the final decision as to whether or not par-
ticular equipment can be connected to a supply system rests with the Network Operating
Company responsible for the connection.
Appendix A and Appendix B provide application guidance for Stage A and B assessments
respectively. Appendix C demonstrates the graduation of distortion levels discussed in
Section 3.
1.1 Scope
This Recommendation provides the individual and total harmonic voltage distortion Plan-
ning and Compatibility limits which are applicable on the UK transmission and distribution
networks.
The general principles of Electromagnetic Compatibility, as applied to harmonic voltage
distortion, are presented along with guidance as to the development of emission limits
through a three-staged assessment procedure.
This recommendation is focussed on conducted phenomena resulting in the development
of harmonic voltages on the system, through the emission of harmonic currents, in the form
of:
• Continuous harmonic, sub-harmonic, inter-harmonic voltage distortion within the range
of 0 to 5 kHz, Comment [DMJ3]: This isthe scope of the recommen-dation. This caters for boththose who need to considerhigher orders and those whodon’t: if there are not effectsat higher orders on any par-ticular system, then there isno cause for concern.
Comment [DMJ3]: This isthe scope of the recommen-dation. This caters for boththose who need to considerhigher orders and those whodon’t: if there are not effectsat higher orders on any par-ticular system, then there isno cause for concern.
• Short bursts of harmonic voltage distortion, and
• Voltage notching.
Parts of this guidance are based on simplification which might not provide the optimal
solution under all operating conditions. The onus is on the responsible party to apply sound
engineering judgement where such circumstances arise and to adequately document the
justifications for applying alternative approaches and techniques.
Both the connection of Non-Linear load or generating plant and of Resonant Plant, namely
cables and shunt and series capacitive elements, fall under the requirements of the con-
nection assessment.
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1 INTRODUCTION ER G5/5, January 2015
The levels and limits presented in this Recommendation are statistical in nature and are
applicable to the normal temporal variations which are characteristic of a power system
and to the credible outage scenarios which might prevail on the system.
This Recommendation applies the voltage level definitions of BS EN 60050[3] with the
extension of HV to 230 kV and the addition of EHV covering all voltages above 230 kV as
per the Terms and Definitions in Section 1.4.
1.2 Exclusions
This Recommendation does not cover the design of mitigation measures to ensure compli-
ance with any harmonic voltage distortion or emission limits which result from the applica-
tion of the assessment procedure.
This Recommendation does not replace nor negate the relevant harmonised equipment
standards which are applicable to particular equipment, and are a pre-requisite for Elec-
tromagnetic Compatibility of the equipment under the terms of the UK Regulations[1]. Ra-
diated interference which might affect communications systems is not considered in this
recommendation.
Harmonic voltage distortion arising from switching transients is not considered in this Rec-
ommendation.
This Engineering Recommendation does not contain provisions for DC current emissions
because of their deleterious effects on the supply system. Therefore, all DC emissions are
deprecated. However the final decision regarding the connection of any DC-emitting plant
and equipment is at the discretion of the Network Owner.
1.3 Normative References
The following referenced documents are indispensable for the application of this document.
For dated references, only the edition cited applies; for undated references, the latest
edition of the referenced document (including any amendments) applies.
• IEC 60050(161) – International Electrotechnical Vocabulary – Chapter 161: Electro-
magnetic Compatibility
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ER G5/5, January 2015
1.4 Terms and Definitions
Further to the definitions in Chapter 161 of IEC 60050, the following terms and definition
apply throughout this Recommendation.
Background Harmonic Distortion Level The level of harmonic distortion, defined in terms
of the Individual and Total Harmonic Distortion levels, which exists without the connec-
tion of the Non-Linear or Resonant Plant under assessment. This typically represents
the pre-existing state of the network, but might also include predicted levels resulting
from the effects of nearby contemporary connections.
Compatibility Level The level of harmonic distortion, defined in terms of the Individual
and Total Harmonic Distortion levels, within which the network should be operated.
Extra High Voltage Voltage with a nominal RMS value of greater than 230 kV.
Fault Level A fictive or notional value expressed in MVA of the initial symmetrical short-
circuit power at a point on the Supply System. It is defined as the product of the initial
symmetrical short-circuit current, the nominal system voltage and, for three-phase
systems, the factor with the aperiodic component (DC) being neglected.
High Voltage Voltage with a nominal RMS value of greater than 36 kV and less than or
equal to 230 kV.
Individual Harmonic Distortion (IHD) The RMS value of an individual harmonic voltage
or current expressed as a percentage of the fundamental RMS voltage or current.
Low Voltage Voltage with a nominal RMS value of less than or equal to 1 kV.
Medium Voltage Voltage with a nominal RMS value of greater than 1 kV and less than or
equal to 36 kV.
Normal Operating Conditions Normal Operating Conditions include the variation of gen-
eration, demand and plant and equipment energisation as a consequence of temporal,
seasonal and operational variability, including credible planned outages, under which
the system is expected to operate.
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ER G5/5, January 2015
Partial Weighted Harmonic Distortion (PWHD) Ratio of the RMS value of higher order
harmonic current emissions between h = 23 and h = 100 weighted with the harmonic
order h, to the RMS value of the short-circuit current:
PWHD =
√
√
√
√
h=100∑
h=23
h
�
h
sc
�2
(1)
Where:
h represents the Individual Harmonic Distortion in Amperes, and
sc represents the Fault Level in Amperes.
Note: The Partial Weighted Harmonic Distortion (PWHD) is employed to provide a
margin for some high order harmonics to exceed specified limits whilst still ensuring
that the overall heating effect of high order harmonics does not exceed acceptable
limits. The PWHD used in ER G5/5 is based on the equation used in Section 3.2 of
BS EN 61000-3-12[5].
Planning Level The level of harmonic distortion, defined in terms of the Individual and To-
tal Harmonic Distortion levels, against which the connection of Non-Linear or Resonant
plant is assessed.
Point of Common Coupling (PCC) The point in the public Supply System, electrically
nearest to a Customer’s installation, at which other Customers’ loads are, or may be,
connected.
Point of Evaluation (PoE) A point in the public Supply System where the effect of the
connection is assessed.
Root Mean Square The square root of the average of the squared values.
Short Burst A burst in power system harmonics occurring in a time interval that is short
when compared to the time-scale of interest such that its effect during the time-scale
of interest is unnoticeable.
Supply System All the lines, switchgear and transformers operating at various voltages
which make up the transmission systems and distribution systems to which Cus-
tomers’ installations are connected.
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ER G5/5, January 2015
Total Harmonic Current (THC) The RMS value of individual harmonic currents in Am-
peres calculated using the following expression:
THC =
√
√
√
√
h=100∑
h=2
�
h�2
(2)
Where:
h represents the Individual Harmonic Distortion in Amperes, and
h represents the harmonic order
Total Harmonic Distortion (THD) The RMS value of individual harmonic voltages ex-
pressed as a percentage of the fundamental RMS voltage, and calculated using the
following expression:
THD =
√
√
√
√
h=100∑
h=2
�
Vh�2
(3)
Where:
Vh represents the Individual Harmonic Distortion in percent, and
h represents the harmonic order
The parameter h = 100 represents the highest harmonic order under consideration.
The increasing number of power-electronic interfaces with supply systems has made
it necessary to consider integer values of h up to and including 100.
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2 PRINCIPLES OF HARMONIC VOLTAGE DISTORTION ER G5/5, January 2015
2 Principles of Harmonic Voltage Distortion
Voltage distortion has long been recognised as being able to interfere with telecommuni-
cations systems, to increase losses in circuits and equipment, and to cause overheating of
rotating plant and capacitors, the latter being particularly susceptible to damage.
Section 2.1 defines the roles and responsibilities held by the relevant parties in ensuring
that the permissible levels of harmonic distortion are not exceeded.
Section 2.2 details the distinction between the planning, compatibility and immunity levels
of harmonic distortion, to which the parties are required to comply.
2.1 Roles and Responsibilities
The connection of Non-Linear or Resonant Plant will either be part of a Network Owner’s
investment strategy or be the result of a Customer connection to the Network Owner’s
system. The Network Operator is ultimately responsible for compliance under operational
timescales; under planning timescales, responsibility is delegated to the Network Owner
(where different). In planning for harmonic compliance when considering Customer con-
nections, a Network Owner may place additional responsibilities upon a Customer through
the terms of a Connection Agreement between the Customer and Network Operator.
The Network Operator is responsible for the overall co-ordination of disturbance levels
under normal operating conditions in accordance with national requirements and shall refer
to the Compatibility Levels herein.
The Network Owner is responsible for assessing the impact of any connection of Non-Linear
or Resonant Plant to their network. This assessment must cover all affected networks,
including Distribution and Onshore and Offshore Transmission Networks and shall refer to
the Planning Levels herein.
The Network Owners and Network Operator shall provide, where necessary and practicable,
any Network Data, such as harmonic impedance data, necessary to enable the Network
Owner hosting the connection to fully assess the impact on harmonic levels on all affected
networks to ensure that the overall Supply System harmonic voltage levels will not exceed
Planning and Compatibility Levels. This harmonic assessment is to consider the effect of
emissions as well as modification to existing harmonic levels due to resonance effects.
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2 PRINCIPLES OF HARMONIC VOLTAGE DISTORTION ER G5/5, January 2015
2.2 The Distinction between Planning and Compatibility Levels
The basic concepts of the Planning Level, the Compatibility Level and Equipment Immunity
are illustrated in Figure 1.
System-WideDisturbance
(Location & Time)
SiteDisturbance
(Time)
System-WideEquipmentImmunity
(Location & Time)
SiteEquipmentImmunity
(Time)
CompatibilityLevel
PlanningLevel
Disturbance Level
Pro
bab
ility
Densi
ty
Figure 1: Illustration of Statistical Power Quality Concepts
Figure 1 illustrates the relationship between the time-based distribution of an individual
site’s disturbance and equipment immunity. Equipment Immunity Levels are specified by
relevant standards or agreed upon between manufacturers and customers.
The system-wide distributions of disturbance and equipment immunity are over both loca-
tion and time and are therefore wider than those of a specific site.
The Compatibility Level is set at the 95th percentile of the system-wide disturbance; the
Planning Level is lower than this by the lesser of either 0.1% absolute or 10% of the Compat-
ibility Level. This differential ensures that there is enough margin to account for planning
uncertainty and operational variability.
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3 HARMONIC VOLTAGE DISTORTION LEVELS ER G5/5, January 2015
3 Harmonic Voltage Distortion Levels
Planning and Compatibility Levels for all voltage levels are given in Tables 1 to 10. Comment [DMJ4]: The volt-age levels have been rede-fined from previous Recom-mendation G5/4-1 to includeall possible system operatingvoltages. The voltage lev-els for LV, HV and EHV are inline with IEC 61000-3-6. Theupper range limit for MV is36 kV to account for a 10%operational level for 33 kV.
Comment [DMJ4]: The volt-age levels have been rede-fined from previous Recom-mendation G5/4-1 to includeall possible system operatingvoltages. The voltage lev-els for LV, HV and EHV are inline with IEC 61000-3-6. Theupper range limit for MV is36 kV to account for a 10%operational level for 33 kV.
Where an Intermediary Voltage (IV) level, being either LV, MV or HV, is present between
two successive voltage bands (LV, MV, HV and EHV ), as part of a series of transforma-
Comment [DMJ5]: The IVconcepts works on the upperof the two voltages within aband e.g. 33 kV is the IV ifthe MV is 11 kV. Therefore,275 kV cannot be graduated,and 400 kV is not betweentwo other voltages. There-fore, this will typically applyto:- 132kV in 132/66/33kV;- 33kV in 132/33/11kV;- 22kV in 132/22/11kV; or- 11kV in 132/11/6.6kV.If we adjusted the lower oftwo voltage levels within aband, then the downstreamvoltage level e.g. 400Vwould not be protected.The general concept is grad-uate upwards. There seemsno way to make this conceptmore generic without usingMV as an example.
Comment [DMJ5]: The IVconcepts works on the upperof the two voltages within aband e.g. 33 kV is the IV ifthe MV is 11 kV. Therefore,275 kV cannot be graduated,and 400 kV is not betweentwo other voltages. There-fore, this will typically applyto:- 132kV in 132/66/33kV;- 33kV in 132/33/11kV;- 22kV in 132/22/11kV; or- 11kV in 132/11/6.6kV.If we adjusted the lower oftwo voltage levels within aband, then the downstreamvoltage level e.g. 400Vwould not be protected.The general concept is grad-uate upwards. There seemsno way to make this conceptmore generic without usingMV as an example.
tion stages, the Planning and Compatibility levels for THD and IHD shall be adjusted for
that particular IV level according to Equation 4, which demonstrates the scaling applica-
ble between MV and HV. This equation is graphically represented in Figure 2 and provides
sufficient graduation through the successive voltage transformation stages.
VDLV = VDLMV − (VDLMV − VDLHV) ×
√
√
√
Vnom−V − Vnom−MVVnom−HV − Vnom−MV
(4)
Where:
VDLn represents the nominal voltage, in kilo-Volts, at the voltage level n.
Vnom represents the nominal voltage, in kilo-Volts, at the voltage level n.
HV
IV
MV
Volta
geD
isto
rtio
nLe
vel[
%]
MV IV HVNominal Voltage [kV]
Figure 2: Adjustment of Voltage Distortion Levels for an Intermediary Voltage Level Withina Series of Transformation Stages Between Two Voltage Bands
The quadratic relationship ensures a greater graduation effect in the lower region of the
voltage range. For example, an IV between 11 kV (MV) and 132 kV (HV) is likely to be 20,
22 or 33 kV which are sufficiently separated from 132 kV such that a linear relationship
would not prove useful.
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3 HARMONIC VOLTAGE DISTORTION LEVELS ER G5/5, January 2015
Using a MV busbar for the IV, if this IV busbar is connected to both an MV and LV busbar,
as shown in Figure 3, the IV busbar shall be assigned the Voltage Distortion Levels as
calculated using Equation 4 and not the MV Voltage Distortion Levels. This protects the LV
busbars.
HV IV MV
LV
Figure 3: Parallel Connections from HV through to LV
3.1 Planning Levels
Table 1 provides the THD planning Levels for LV, MV, HV and EHV systems. Tables 2 to
Table 5 provide the Planning Levels for Harmonic Voltage Distortion in LV, MV, HV and EHV
systems respectively.
Table 1: THD Planning Levels
Nominal Voltage THD [%V1]
LV 5MV 4HV 3EHV 3
Table 2: Planning Levels for Harmonic Voltages in LV Systems
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 4.00 3 4.00 2 1.607 4.00 9 1.20 4 0.90
11 3.00 15 0.30 6 0.4513 2.50 21 0.20 8 0.4017 1.60 ≥27 0.18 10 0.4019 1.20 ≥12 0.2023 1.20
≥25 0.5025h + 0.20
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3 HARMONIC VOLTAGE DISTORTION LEVELS ER G5/5, January 2015
Table 3: Planning Levels for Harmonic Voltages in MV Systems
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 3.00 3 3.00 2 1.507 3.00 9 1.20 4 0.90
11 2.00 15 0.30 6 0.4513 2.00 21 0.20 8 0.4017 1.60 ≥27 0.18 10 0.4019 1.20 ≥12 0.2023 1.20
≥25 0.5025h + 0.20
Table 4: Planning Levels for Harmonic Voltages in HV Systems
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 2.00 3 2.00 2 1.007 2.00 9 1.00 4 0.80
11 1.50 15 0.30 6 0.4513 1.50 21 0.20 8 0.4017 1.00 ≥27 0.18 10 0.4019 1.00 ≥12 0.2023 0.70
≥25 0.5025h + 0.20
Table 5: Planning Levels for Harmonic Voltages in EHV Systems
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 2.00 3 1.50 2 1.007 1.50 9 0.50 4 0.80
11 1.00 15 0.30 6 0.4513 1.00 21 0.20 8 0.4017 0.50 ≥27 0.18 10 0.4019 0.50 ≥12 0.2023 0.50
≥25 0.3025h + 0.20
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3 HARMONIC VOLTAGE DISTORTION LEVELS ER G5/5, January 2015
3.2 Compatibility Levels
Table 6 provides the THD compatibility Levels for LV, MV, HV and EHV systems. Tables 7
to Table 10 provide the Compatibility Levels for Harmonic Voltage Distortion in LV, MV, HV
and EHV systems respectively.
Table 6: THD Compatibility Levels
Nominal Voltage THD [%V1]
LV 8MV 8HV 5EHV 3.5
Table 7: Compatibility Levels for Harmonic Voltages in LV Systems
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 6.00 3 5.00 2 2.007 5.00 9 1.50 4 1.00
11 3.50 15 0.33 6 0.5013 3.00 21 0.30 8 0.50
17 2.00 ≥27 0.20 ≥10 0.2510h + 0.25
19 1.50
≥23 1.6823h − 0.27
≥53 0.2653h + 0.22
Table 8: Compatibility Levels for Harmonic Voltages in MV Systems
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 6.00 3 5.00 2 2.007 5.00 9 1.50 4 1.00
11 3.50 15 0.40 6 0.5013 3.00 21 0.30 8 0.50
17 2.00 ≥27 0.20 ≥10 0.2510h + 0.25
19 1.50
≥23 1.6823h − 0.27
≥53 0.2653h + 0.22
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3 HARMONIC VOLTAGE DISTORTION LEVELS ER G5/5, January 2015
Table 9: Compatibility Levels for Harmonic Voltages in HV Systems
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 4.00 3 2.10 2 1.107 2.10 9 1.10 4 0.88
11 1.60 15 0.33 6 0.5013 1.60 21 0.22 8 0.4417 1.10 ≥27 0.20 10 0.4419 1.10 ≥12 0.2223 0.77
≥25 0.5525h + 0.22
Table 10: Compatibility Levels for Harmonic Voltages in EHV Systems
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 3.00 3 1.70 2 1.107 1.60 9 0.55 4 0.88
11 1.10 15 0.33 6 0.5013 1.10 21 0.22 8 0.4417 0.55 ≥27 0.20 10 0.4419 0.55 ≥12 0.2223 0.55
≥25 0.22 + 0.3325h
Comment [DMJ6]: The Sec-tion on DC Emissions hasbeen removed because ofinsufficient information; ThisRecommendation alreadydeclares DC emissions asproblematic.
Comment [DMJ6]: The Sec-tion on DC Emissions hasbeen removed because ofinsufficient information; ThisRecommendation alreadydeclares DC emissions asproblematic.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
4 Assessment of Non-Linear and Resonant Connections
The assessment procedure for the connection of Non-Linear and Resonant Plant and Equip-
ment follows three stages. The objective of this three-stage approach is to balance the
degree of detail required by the assessment process with the degree of risk that the con-
nection of the particular installation will result in unacceptable harmonic voltage distortion
levels occurring on the network if it is connected without any mitigation measures.
Section 4.1 provides general guidance on the application of the assessment and associated
techniques and methods.
Sections 4.2, 4.3 and 4.4 present the process for Stage A, B and C assessments respec-
tively. Figure 4 illustrates the three-stage process with the relevant decisions which affect
progress through the three stages. It is recommended that LV connections are not pro-
gressed through to a Stage C assessment because of the relative time- and cost-efficiencies
of providing mitigation when compared to those of a Stage C assessment.
4.1 Guidelines
4.1.1 Point of Evaluation
The Point of Evaluation (PoE) is the point on the Network Owner’s network where the im-
pact of the Non-Linear or Resonant Plant and Equipment upon harmonic distortion is to be
assessed against the Planning Levels of Section 3.1.
In most cases the PoE will also be the Point of Common Coupling (PCC). For both Stage A
and B the PoE is always the PCC. For a Stage C assessment, more than one PoE might
exist as a result of either shifts in resonances at or the propagation of harmonics through
to remote nodes in the network.
If the assessment results in limits being issued for the connection, the PCC is the point
where the limits apply. For Stage A and Stage B assessments, the Network Operator may
limit the customer’s current emissions according to the calculations in Section 4.2 and 4.3
respectively. For Stage C assessments, the Network Operator may limit the voltage emis-
sions which must be accompanied by a harmonic impedance representation of the network
according to the calculations in Section 4.4.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
Start
∑
Snrpnt×WSsc
Individual LV
Equipment?
≤ 16A and
BS EN 61000-3-2
Compliant?
≤ 75A and
BS EN 61000-3-12
Compliant?
Minimum
Fault Level
Achievable?
h below
Equation 9
Limit Values?
Section 4.1.9
Marginal
Conditions
Met?
Measure PCC
Background
Distortion
Calculate Total
Headroom
Equation 10
Calculate Resonance
Headroom
Equation 11
Risk of
Resonance?
Equation 13
Calculate Emission
Headroom
Equation 12
h below
Equation 15
Limit Values?
Section 4.1.9
Marginal
Conditions
Met?
Identify Affected
Remote Nodes
Measure Remote
Background
Distortion
Calculate Re-
mote Total
Headroom Equa-
tions 10 and 12
Generate
Impedance Loci
Section 4.4.2
Calculate Design
Limits Section 4.4.3
Harmonic Design
Specification
Design & Assess
Performance
Complies
with Design
Specification?
Calculate
Performance Limits
Section 4.4.4
Harmonic Performance
Specification
Permit
Connection
≤ β
Y
N
N
N
Y Y
Y
N
N Y
Y
> β N
N
Y
N Y
NY
N Y
Sta
ge
ASta
ge
BSta
ge
C
Figure 4: Three-Stage Assessment Process
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
4.1.2 System Impedance
Connection assessments under Stages A, B and C require the harmonic system impedance
at the PCC to be taken into consideration, either directly or through calculation of the
system fault level. The system impedance at a particular frequency is needed in order to
calculate the resulting harmonic voltage distortion developed at a given node due to the
connection of Non-Linear or Resonant Plant and Equipment.
For both Stage A and B assessments, the short circuit power at the PCC is required. In order
to calculate the maximum harmonic voltage distortion, the minimum short circuit power
expected for planned system conditions shall be used, taking into account maintenance
and operational variations. For Stage C assessments, detailed harmonic impedance models
are required and shall be represented with minimal simplification.
For all stages of assessment, the calculation of the system harmonic impedances shall
consider relevant planned outages and various generation and demand backgrounds as
defined by the Normal Operating Conditions. Comment [DMJ7]: Thisclarifies that multiple net-work configurations must beconsidered. The definitionof Normal Operating Condi-tions has been added to theDefinitions list.
Comment [DMJ7]: Thisclarifies that multiple net-work configurations must beconsidered. The definitionof Normal Operating Condi-tions has been added to theDefinitions list.
4.1.3 Aggregation and Diversity
Equation 5 provides a means of aggregating multiple values for each harmonic order based
on the summation exponents in Table 11. This accounts for the operation of multiple Non-
Linear Equipment through the aggregation of their individual harmonic emissions. This
form of aggregation is only valid based on a realistic appreciation of the equipments’ oper-
ational diversity, without which linear addition shall be employed.
Vh = α
√
√
√
∑
�
Vh�α
(5)
Table 11: Summation Exponents
Exponent α Harmonic Order
1.0 h ≤ 51.4 5 < h ≤ 102.0 h > 10
Comment [DMJ8]: Noticethat this is different from IECaggregation insofar as the5th is linear. This aligns withER G5/4-1
Comment [DMJ8]: Noticethat this is different from IECaggregation insofar as the5th is linear. This aligns withER G5/4-1
The exponent α is chosen on the basis of the expected average phase angle between
the harmonic sources. An exponent of 1.0 implies they are in phase (angle 0◦), whilst an
exponent of 2.0 implies they are at 90◦. An exponent of 1.4 implies an angle in the region
of 70◦.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
4.1.4 Uncertainty
Each assessment will have inherent uncertainty associated with it which can affect the
outcome and any limits imposed on a connection. Due diligence is required to ensure
such uncertainties are acknowledged and minimised throughout the assessment. Such
uncertainties exist within the:
• Modelling of the Network Owner’s network and the Non-Linear and Resonant connec-
tion, which will affect the calculated resonances in the model;
• Absence of data;
• Relevant future network variations which will not be subject to their own assessment
according to this Recommendation; and
• The measurement of background harmonic distortion.
Where necessary, derived values or data may be used in lieu of actual data so as to better
inform the assessment and limit the uncertainty. Such approaches are particularly useful
for deriving values of background harmonic voltage distortion at sites from which mea-
surements are unavailable using data obtained from adjacent sites and system impedance
modelling.
4.1.5 Measurement
Harmonic measurements of the existing levels of distortion on the network form part of
both Stage B and Stage C assessments in order to calculate the available headroom for
new connections.
Stage B measurements are required to be made at the PCC, whilst under Stage C, mea-
surements are required to be made at the PCC and at nodes elsewhere within the network.
These nodes could be at any voltage level and on networks not owned by the host Network
Owner. The selection of these remote nodes will be dependent upon the outcome of system
studies identifying problematic transfer gains. It is recommended that harmonic measure-
ments be carried out prior to and post energisation of the connection of the Non-Linear or
Resonant Plant. This will aid compliance monitoring and ensure harmonic emission limits
imposed on the connection are met.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
Instrumentation: Instruments for harmonic measuring are usually power quality mon-
itors. For harmonic measurements BS EN 61000-4-30[7], which makes reference to the
algorithm described in BS EN 61000-4-7[6], details two classes of accuracy for instrumen-
tation measuring harmonic components; these are Class A and B. For the purpose of con-
nection assessment and compliance monitoring it is recommended for the Network Owner
to adopt a Class A device for harmonic measuring and post-commissioning monitoring.
The minimum defined accuracy of a Class A power quality monitor according to BS EN 61000-
4-30 is 0.1%. This factor should only be incorporated into the final results of an assessment
so as to prevent double-accounting, especially in the calculation of background modifica-
tion. Comment [DMJ9]: Prevents0.1% for noise being ficti-tiously amplified beyondPlanning Levels.
Comment [DMJ9]: Prevents0.1% for noise being ficti-tiously amplified beyondPlanning Levels.Based on BS EN 61000-4-30, a ten minute characteristic should be measured and the 95th
percentile value from the cumulative probability function should be used in the assessment
process. Section 4.1.7 considers the use of alternative aggregation periods depending on
the continuity of the connection’s emissions.
Temporal and Seasonal Variation: Levels of harmonic distortion on transmission and
distribution networks vary over a 24 hour period, and between weekdays and weekends. It
is important that measurements be taken over a contiguous period of at least seven days,
and in multiples of seven days i.e. 7,14, 21, etc. Where possible and practicable, winter
peak and summer minimum demand periods should be evaluated to cater for seasonal
variation.
For the purpose of planning studies, the 95th percentile value should be applied to mea-
surements over the longest possible integer number of weeks and assessed against the
Planning Levels. For the purpose of compliance assurance, the 95th percentile value should
be applied to each week of measurement and assessed against Compatibility Levels on a
week-by-week basis.
Transducers: Voltage transducers are necessary when performing harmonic measure-
ments at voltages above LV; for LV it is possible to connect measuring devices directly.
Voltage transducers are typically voltage transformers which form part of protective relay
circuits or meter circuits. Such VTs available are typically of the electromagnetic (wound)
type, capacitive divider type and resistive-capacitive voltage divider type. All transformers
have their limitations in terms of frequency response and careful consideration needs to be
given to their selection.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
Electromagnetic VTs have a useful frequency response up to approximately one kilo-Hertz
and resistive-capacitive voltage dividers up to hundreds of kilo-Hertz. The lower section of a
capacitor divider type generally comprises a capacitor in parallel with an electromagnetic
VT. This arrangement is tuned to 50 Hz and is not suitable for harmonic measurements
because the higher frequencies pass through the capacitor and not the electromagnetic
VT. However, capacitor divider types can be modified with ring-CTs on the earth links of the
lower capacitor and electromagnetic VT in such a way as to extend the harmonic frequency
response up to tens of kilo-Hertz when necessary.
4.1.6 Sub-Harmonic and Inter-harmonic Distortion
Contingent upon the connection being compliant with ER P28 for flicker[8], if the predicted
sub-harmonic and inter-harmonic voltage emissions from an item of equipment or aggre-
gate load are less than 0.1% of the fundamental voltage, connections may be made without
any further assessment.
In the United Kingdom, it is assumed that ripple control systems are not being used and
therefore a customer’s load, having individual sub- or inter-harmonic emissions less than
the following Table 12 limit values, may be connected without assessment.
Table 12: Sub- and Inter-Harmonic Emission LimitsFrequency [Hz] IHD [%V1]
≤ 80 0.2≥ 90 0.5
Limits for particular inter-harmonic frequencies between 80 and 90 Hz may be interpolated
linearly from the limits given in Table 12.
4.1.7 Short-Duration Bursts and Fluctuating Harmonic Distortion
Non-continuous loads which have either short-duration bursts or fluctuations shall be con-
sidered by selecting a more appropriate aggregation period of either one minute or three
seconds. The 99th percentile value of these measurements is to be used for the purposes
of planning and compliance.
With respect to the effect of short duration effects on harmonic voltage distortion, compli-
ance shall be assessed with reference to the Compatibility Levels for individual harmonic
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
orders presented in Section 3.2, multiplied by a factor k as defined in Equation 6, and with
a corresponding increase in the THD Compatibility Level by a factor ofp2. Comment [DMJ10]: This
corresponds to the guidancein IEC 61000-2-12. The guid-ance in IEC 61000-2-12 isbased on an MV THD Com-patibility Level of 8% forlong-term effects and 11%for short-duration effects.This increase is approxi-mately
p2 (11/8=1.375;p
2=1.42).
Comment [DMJ10]: Thiscorresponds to the guidancein IEC 61000-2-12. The guid-ance in IEC 61000-2-12 isbased on an MV THD Com-patibility Level of 8% forlong-term effects and 11%for short-duration effects.This increase is approxi-mately
p2 (11/8=1.375;p
2=1.42).
k = 1.3 + 0.7 �
h − 5
45
�
(6)
4.1.8 Notching
Voltage notching occurs during rectifier commutation when two phases of the supply are
effectively short-circuited, being connected to each other through only their commutating
impedances. Figure 5 illustrates a typical voltage characteristic exhibiting commutation
notching.
t [s]
d [p..]
Figure 5: A Depiction of Voltage Notching
Equipment that results in voltage notching can only be connected if the level of harmonic
distortion present at the PCC on the supply system is less than the appropriate Planning
Level. The additional requirements at the PCC shall be: Comment [DMJ11]: Thishas been derived usingER G5/4-1 Limits and theGuidance of IEEE519 onnotch area using curve fit-ting.
Comment [DMJ11]: Thishas been derived usingER G5/4-1 Limits and theGuidance of IEEE519 onnotch area using curve fit-ting.
• The notch depth, d, shall not exceed 15% of the nominal fundamental peak voltage;
• The notch duration, in seconds, shall not exceed:
t =2.23 × 10−7
pd
Vnom (7)
Where:
Vnom represents the nominal system voltage in kV.
• The peak amplitude of oscillations, due to commutation at the start and at the end of
the notch, shall not exceed 10% of the nominal fundamental peak voltage.
As a short duration effect, the effect of notching on harmonic voltage distortion shall follow
the same guideline as presented in Equation 6.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
4.1.9 Marginal Results under Stage A and Stage B
With the exception of the triplen and fifth harmonic orders, any two emission currents up
to the nineteenth and any four emission currents above the nineteenth may exceed the
calculated limit by up to 10% in both Stage A and B assessments without progression onto
the next stage of assessment.
For connections where multiple harmonic current emissions of orders 23 ≤ h ≤ 100 marginally
exceed the calculated limits, the connection could still be acceptable without progression
onto the next stage of assessment if the PWHD value does not exceed the relevant value
of Table 13. The use of the PWHD method does not remove the requirement to comply with
the applicable THD Planning Levels defined in Section 3.1.
Table 13: PWHD LimitsNominal Voltage PWHD Limit [%V1]
LV 0.92MV 0.46HV 0.43EHV 0.36
4.2 Stage A
The Stage A assessment applies to all installations, including individual items of plant and
equipment and groups of plant and equipment defined by their aggregated effect, where:
• The existing distortion is sufficiently below the Planning Level, i.e. less than 75%
thereof, such that there is little risk of exceeding the Planning Levels;
• Any amplification resulting from system resonances is not expected to exceed a factor
of two; and where
• There is no risk of interference with other customers or system plant and equipment.
Stage A applies to installations to be connected to a PCC where the condition of Equation 8
would remain valid after the connection. The summation represents the total capacity of
all connections to a PCC and not that of an individual connection.
∑
Snrpnt ×W
Ssc≤ β (8)
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
Where:
Snrpnt represents the MVA capacity of each connection’s Non-Linear or Resonant
Plant or Equipment connected to the PCC;
W represents a weighting factor, defined as:
THD100 for Non-Linear plant; and
1.0 for Resonant Plant.
THD represents the Total Harmonic Current Distortion, in percent;
Ssc represents the Fault Level in MVA at the Point of Common Coupling; and
β is defined according to the voltage level as:
1.44% for LV;
0.57% for MV;
0.41% for HV; and
0.32% for EHV;
If the knowledge of existing Non-Linear Plant is not be readily available, each feeder’s term
of Snrpnt×THD/100 in the summation may be replaced by the aggregated Total Harmonic
Current (THC) in kilo-Amperes at the feeder, multiplied byp3Vnom.
All equipment and plant shall be permitted connection without further consideration con-
tingent upon the condition presented in Equation 8 being met and the relevant condition
below being met:
• Individual LV equipment with ratings of less than or equal to 16 A shall comply with
BS EN 61000-3-2[4];
• Individual LV equipment with ratings of more than 16 A and less than or equal to
75 A shall comply with BS EN 61000-3-12[5]. In association with a manufacturer’s
statement of compliance with BS EN 61000-3-12, it is necessary to meet the associ-
ated minimum fault level requirements to ensure voltage distortion is controlled as
intended. Appendix A provides examples of the relevant calculations;
• For other installations, and for individual LV equipment with ratings above 75 A or
where the minimum fault level requirements defined in the manufacturer’s statement
of compliance cannot be met, the declared harmonic current emissions shall be below
the limit values calculated using Equation 9; or
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
• For Resonant Plant at all voltage levels without harmonic current emissions, no further
criterion is applicable.
h = VpK
Krαph
sc (9)
Where:
h represents the harmonic current limit per phase in Amperes for the harmonic
order,
Vp represents the Planning Level in percent for the harmonic order h,
K represents a limit factor according to Table 14,
Kr represents the resonant factor which for LV equals 1.0 and for MV, HV and
EHV equals 2.0.
α is the alpha factor defined in Section 4.1.3,
sc represents the short-circuit current at the PCC derived as sc =Sscp
3×Vnomin kA,
and
Vnom represents the nominal system voltage in kV.
Table 14: Limit Factors for Equation 9
Order K Factor
h ≤ 5 2.505< h ≤10 2.90h >10 3.16
If the connection does not comply with the limits calculated according to Equation 9, it
might still be acceptable under Stage A if the marginal conditions of Section 4.1.9 are
satisfied.
4.3 Stage B
A Stage B assessment is indicated for connections where the criteria of a Stage A assess-
ment are not met and the background harmonic voltage distortion levels are likely to be
considerable. Stage B follows a simple calculation which involves:
• Apportioning the available headroom into components of Resonance Headroom and
Emission Headroom according to the capacity of the connection under question,
• Assessing the effect of the resonant plant in relation to the Resonance Headroom, and
• Calculating the effect of the connection’s emissions based on the equipment charac-
teristics, as declared by the equipment manufacturer, using a simplified impedance
model of the system.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
4.3.1 Calculation of the Connection Headroom
With consideration to the guidelines on measurement provided in Section 4.1.5, the Net-
work Operator shall obtain measurements of harmonic voltage distortion at the PCC from
which the total remaining headroom for each harmonic order shall be calculated according
to the aggregation principles of Section 4.1.3 such that:
Vhhr−tot =αs
�
Vhp�α−�
Vhbg�α
(10)
Where:
Vhhr−tot represents the headroom (remaining) harmonic voltage distortion for har-
monic h,
Vhp is the harmonic voltage distortion Planning Level for harmonic h, defined in
Section 3.1, and
Vhbg is the measured background harmonic voltage distortion for harmonic h.
Once the total remaining headroom has been determined, the Resonance Headroom and
Emission Headroom available to the connection, Vhhr−resonnce and Vhhr−emsson, shall be
calculated according to Equations 11 and 12 respectively.
Vhhr−resonnce = Vhhr−tot α
√
√
√
√
√
Sresonnt−pnt
2β�
1 −VTHDbg
VTHDp
�
× Ssc(11)
Vhhr−emsson = Vhhr−tot α
√
√
√
√
√
√
Semttng−pnt × THD100
2β�
1 −VTHDbg
VTHDp
�
× Ssc(12)
Where:
Sresonnt−pnt is the resonant component of the connection in MVA,
Semttng−pnt is the emitting component of the connection in MVA,
VTHDbg is the measured background THD, and
VTHDp is the THD Planning Level, defined in Section 3.1.
This provides connection-related headroom profiles which distinguish between the differ-
ing effects of the connection’s Resonant and Non-Linear plant respectively and prejudice
neither the present, nor the possible future connections at the PCC.
These profiles shall be considered as a guideline to the Network Operator; the ultimate
decision as to the suitability of a connection rests with the Network Operator. The Network
Operator may adjust these profiles, subject to the following limitations:
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
• Where background levels are below Planning Levels, the headroom profile shall not
lead to a breach of the Planning Levels, and
• Where background levels are above Planning Levels, the profile shall be limited to
either a value which will not lead to a breach of 110% of the respective Planning Level
or 0.1% above the respective Planning Level (whichever is the lesser of the two, and
subject to the Compatibility Levels not being breached).
Where multiple concurrent, nearby connections are being assessed based on one set of
background measurements and system parameters, the successive adjustment of the VTHDbg
according to the results of the preceding connection’s assessment shall ensure that a fair
allocation of the headroom is achieved.
Having determined the harmonic voltage distortion profiles which may be associated with
the new connection, a two-step calculation is necessary in order to:
• Evaluate the resonant effect of the connection on the existing harmonic distortion,
and to
• Determine the current emission limits with which the connection must comply in order
for the connection to qualify under a Stage B assessment.
4.3.2 Assessment of Resonant Conditions
The connection of Resonant Plant can magnify existing background harmonics beyond the
available Resonance Headroom. Equation 13 provides a simple means of approximating
this magnification.p
SscQc
PPCC× Vhrreƒ < Vhrhr−resonnce (13)
Where:
Qc is the reactive power of the Resonant Plant in MVAr,
hr is the resonant order, equal top
Ssc/Qc,
PPCC is the active power delivered at the PCC in MW, excluding that from
the connection under assessment,
Vhrreƒ is the greater of either the measured background distortion, Vhrbg, or
0.1%, and
Vhrhr−resonnce is the Resonance Headroom calculated for the resonant order accord-
ing to Equation 11.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
It is unlikely that hr will be calculated as an integer. Therefore, both of the orders on either
side of the calculated value shall be evaluated.
A characteristic of this equation is that lower order resonances are more likely to not satisfy
this equation whilst higher order resonances are. Therefore, the connection of small or
lower voltage Resonant Plant is more likely to qualify under this Stage B criterion.
4.3.3 Assessment of Emissions
The available Emission Headroom is now used in combination with a simple harmonic
impedance approximation according to Equation 14 to determine the current emission lim-
its according to Ohm’s law in Equation 15.
Zh = Krαp
hV2nom
Ssc(14)
h =Vhhr−emsson
Zh(15)
Where:
Zh is the system harmonic impedance at harmonic order h in Ohms,
Vhrhr−emsson is the Emission Headroom calculated for the harmonic order according
to Equation 12 for Non-Linear Plant and Equipment
A connection shall be permitted, without further consideration, if the conditions in Equa-
tions 13 and 15 are satisfied for Resonant and Non-Linear Plant and Equipment respectively.
If the connection does not comply with the limits calculated according to Equation 15, it
might still be acceptable under Stage B if the marginal conditions of Section 4.1.9 are
satisfied.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
4.4 Stage C
This final stage of assessment is applicable when the calculations of a Stage B assess-
ment indicate that either a resonant condition exists which jeopardises compliance or the
emissions of the connection installation exceed those calculated using a simplistic model
of the system and plant characteristics. Stage C requires detailed modelling of both the
system and the connected installation in an effort to more accurately predict the effect of
the connected installation on the system.
Stage C is typically required for large connection projects for which detailed design data
is unlikely to be available at the beginning of the assessment. To assist in the delivery of
a project whilst still protecting the Network Operator’s mandate to assure compliance, the
concepts of Design and Performance Limits are introduced as follows:
Design Limits are a representation of the headroom profiles developed in Section 4.3.1
which are independent of the detailed connection data. They represent the upper
limits to which the design team may design the connecting assets.
Performance Limits are a representation of the modelled plant performance based on
the detailed design. Should a contract exist for the connection, then it is these limits
which shall be included in the contract.
Both sets of Limits are accompanied by a Harmonic Impedance representation of the net-
work in the form of Harmonic Impedance Loci.
By distinguishing between the Design and Performance Limits, the project is able to progress
based on maximum design criteria, and the Network Operator is able to recycle headroom
that is not needed, thereby facilitating further Grid access.
The issuing of the Design and Performance Limits is the responsibility of the Network Op-
erator. This responsibility is typically delegated to the responsible host Network Owner in
the event that they are different entities.
The critical steps involved in performing a Stage C assessment are:
1. Identifying remote electrical nodes which might be affected by the connection of the
installation, either by the propagation of harmonic emissions or by the modification of
the system harmonic impedances, according to Section 4.4.1;
2. Measurement of the background harmonic voltage distortion at the PoE (and PCC
where different) and at the remote nodes as appropriate and practicable;
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
3. Development of the Harmonic Impedance Loci according to Section 4.4.2;
4. Development of the Harmonic Design Specification according to Section 4.4.3;
5. Assessment of the detailed design; and
6. Development and issuing of the Harmonic Performance Specification according to Sec-
tion 4.4.4.
It is possible that a single set of background measurments and system conditions might be
used to assess multiple connections which are due to connect in short succession of one an-
other. Section 4.4.5 provides guidance on how to utilise the Harmonic Design Specification
of one connection to inform the Harmonic Design Specification of another.
4.4.1 Identification of Remote Electrical Nodes
The purpose of identifying remote nodes which might be affected by the connection of the
Non-Linear or Resonant Plant is to develop a representative set of nodes as opposed to a
comprehensive set. The responsible party might choose to include nodes which are:
• Within a set number of substations from the PCC on the same voltage level;
• On the opposite side of a transformation between two voltage levels;
• Already subject to contractual harmonic limits with other Customers; or are
• Host to sensitive or strategic connections.
It is important to realise that some affected nodes might be in adjacent networks and shall
be considered in the assessment.
4.4.2 Harmonic Impedance Representation of the Network
The impedance data at the PCC shall be collated into Harmonic Impedance Loci which shall
be developed as follows:
• A set of resistance and reactance values shall be calculated for each operating sce-
nario considered to be Normal Operating Conditions. The values shall be presented in
Per-Unit notation on an Apparent Power base of 100 MVA.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
• The impedance values shall be calculated in steps of at least a quarter of a harmonic
order, with at least one quarter on either side of the first and last integer harmonic
orders.
• The spectrum shall be broken up into several bands overlapping by at least one quar-
ter of a harmonic order. The bands should be narrower at the lower end of the spec-
trum than at the upper end and should focus on problematic or characteristic harmonic
orders. As far as is practicable, the boundaries of the bands shall not be located on or
near any parallel or series resonance, or any resistive minima.
• For each band, the harmonic resistances and reactances for all studied network con-
ditions shall be plotted on a Cartesian scatter chart, with the abscissa representing
resistance and the ordinate representing the reactance.
• A margin of at least δ = 1%× αph shall be applied to each datum point (Rh, Xh) thereby
generating a set of four additional points in the form (Rh ± δ, Xh ± δ).
• For each band, a Locus shall be drawn to encompass all of the (Rh ± δ, Xh ± δ) points
using straight lines and arcs where appropriate.
• The Cartesian coordinates of each vertex and of the centre and radius of any arcs shall
be depicted on the plot to at least six decimal places.
• For each Locus, the minimum resistance shall be defined along with the maximum
and minimum Impedance Angles which represent the angles of the upper and lower
tangents to the Locus, as drawn from the origin.
Figure 6 presents an example of a Harmonic Impedance Locus which illustrates the resulting
structure of the above steps.
4.4.3 Harmonic Design Specification
The Harmonic Design Specification combines the Harmonic Impedance Loci with the Design
Limits and is used in the Front-End Engineering and Design of a project. The Design Limits
comprise two sets of metrics namely the emission limits and the background gain limits.
The emission headroom developed as part of the Stage B assessment does not take into
consideration the effect on remote nodes of the network. For each remote node n, a
headroom profile, Vhhr−n, is developed using the same Equations 10 and 12 as were used
for the PCC in the Stage B assessment, based on the measurements and Planning Levels
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
Centre: (0.193683,0.024941), Radius: 0.192123
(0.005669,0.064450) (0.018880,0.064450)
(0.018880,-0.012610)(0.007534,-0.012610)(0.002291,0.008196)
Minimum Resistance: 0.001560 p.u.Maximum Impedance Angle: 87.017586◦Minimum Impedance Angle: -59.143273◦
-0.02
0.00
0.02
0.04
0.06
0.08
Har
mon
icR
eact
ance
[p.u
.]
0.000 0.005 0.010 0.015 0.020
Harmonic Resistance [p.u.]
Figure 6: An Example of a Harmonic Impedance Locus
applicable to each remote node. Therefter, a limiting source emission for each remote node
is derived according to Equation 16.
Vhpcc−n =ZhpccZhpcc−n
Vhhr−n (16)
Where:
Zhpcc−n represents the harmonic transfer impedance between the PCC and the nth
remote node; and
Zhpcc represents the harmonic self impedance at the PCC.
The resulting design limit for each harmonic order, Vhdesgn, is the lesser of either:
• The lowest value of all limiting source emissions Vhpcc−n, or
• The calculated emission headroom at the PCC, Vhhr−emsson.
The second element of the design specification is the background gain limit which shall be
calculated according to Equation 17.
Ghdesgn =
Vhhr−resonnceVhreƒ
(17)
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
Where:
Vhreƒ is the greater of either the measured background distortion Vhbg or 0.1%. This
prevents erroneous gain values from extremely low measured backgrounds.
In the event that the above ratio is less then one, the gain values shall be rounded up to
one, thereby representing no change to the background harmonic voltage distortion. The
resulting Design Limits shall be presented in a tabular form, similar to that of Table 15.
Table 15: An Example of the Design Limits
HarmonicOrder
BackgroundDistortion
Level [%V1]
IncrementalEmission
Limit [%V1]
BackgroundGain Limit
2 0.09 0.03 1.333 0.76 0.05 2.264 0.03 0.02 1.695 1.21 0.13 1.15... ... ... ...98 0.01 0.02 1.0899 0.01 0.02 1.04
100 0.01 0.02 1.09
THD 0.84 0.23
The background distortion levels presented in Table 15 are present for the purpose of de-
sign and are not rounded up to 0.1%. The consideration of the 0.1% rounding has already
been given in the determination of the Gain limits in Equation 17.
4.4.4 Harmonic Performance Specification
A Harmonic Performance Specification complements a connection agreement between a
Customer and the relevant Network Operator. It is a mutually beneficial instrument which
defines the operational criteria for each party’s Plant, Equipment or Network.
The Harmonic Performance Specification is structurally similar to the Design Specification.
The Harmonic Impedance Loci shall be identical to those defined in the Design Specifi-
cation. The emission and background gain limits are to be derived from the calculated
performance of the detailed plant design.
The emission limit at the PCC, Vhperƒormnce, shall be calculated using a comprehensive set
of impedances defined along the entire perimeter of the relevant Harmonic Impedance
Locus and must be less than or equal to the Design Limit, Vhdesgn, so as not to adversely
affect remote nodes.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
The background gain limit shall be calculate according to Equation 18 and must be less
than the Design Limit, Ghdesgn.
Ghperƒormnce =
ZhconnectedZhdsconnected
(18)
Where:
Zhconnected represents the harmonic self impedance at the PCC with the Non-Linear
or Resonant Plant connected to the system; and
Zhdsconnected represents the harmonic self impedance at the PCC with the Non-Linear
or Resonant Plant isolated from the system.
These two sets of values shall be presented in the Harmonic Performance Specification in
the format of Table 16.
Table 16: An Example of the Performance Limits
HarmonicOrder
IncrementalEmission
Limit [%V1]
BackgroundGain Limit
2 0.03 1.333 0.04 2.134 0.02 1.345 0.11 1.15... ... ...98 0.02 1.0899 0.02 1.04
100 0.02 1.09
THD 0.21
It should be noted that for the purpose of the Harmonic Performance Specification, the
measured background distortion is excluded. This is because it represents a specific point
in time and therefore cannot remain valid for the duration of the connection contract with
which the Harmonic Performance Specification is associated.
4.4.5 Dealing with Concurrent Connections
Where multiple connections are expected to connect within similar timescales, it is unlikely
that the detailed design data of one connection will be available to incorporate into the
Harmonic Design Specification of another connection. This section describes a method
for producing successive Harmonic Design Specifications based on one set of background
harmonic measurements and one set of system parameters.
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
In Section 4.4.3 the emission limits for a connection are derived so as not to adversely
affect remote nodes. The same calculation shall be used for each connection based on the
singular set of network impedances and background measurements.
The Harmonic Impedance Locus of the subsequent connection may be derived by taking
each point of the original locus and generating six additional points as depicted in Figure 7.
The derivation of these points relies on the previous connection’s Background Gain Limit,
Gh, three constant impedance arcs about the origin (the radii of which are denoted in the
figure) and a constant impedance angle line from the origin. The new points represent:
1. The intersection of the constant impedance angle line with the minimum constant
impedance arc;
2. The extrapolation of point 1 to the constant impedance arc of the original point;
3. The point on minimum constant impedance arc which is purely resistive;
4. The intersection of the constant impedance angle line with the maximum constant
impedance arc;
5. The extrapolation of the original point to the maximum constant impedance arc; and
6. The point on maximum constant impedance arc which is purely resistive;
– Original Point, Zh
– New Point
|Zh |
|Zh | × Gh
|Zh | ÷ Gh
4
1
2
5
3 60.000
0.004
0.008
0.012
0.016
0.020
Har
mon
icR
eact
ance
[p.u
.]
0.000 0.005 0.010 0.015 0.020
Harmonic Resistance [p.u.]
Figure 7: The Adjustment of a Harmonic Impedance to Cater for a Concurrent Connection
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4 ASSESSMENT OF NON-LINEAR AND RESONANT CONNECTIONS ER G5/5, January 2015
Once the detailed design data of a the first connection is known, the Harmonic Impedance
Loci which shall form a part of the Harmonic Performance Specification of the subsequent
connection may be adjusted subject to the Network Operator’s approval and based on the
following guiding constraints:
• The maximum and minimum Impedance Angles of a new locus shall not exceed those
of the original locus; and
• The left-most section of a new locus shall be completely within or on the old locus.
The left-most region is defined between the point of intersection of the new locus with
the new maximum Impedance Angle tangent, through the point of minimum resis-
tance and ending at the point of intersection of the new locus with the new minimum
Impedance Angle tangent.
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5 CONCLUSION ER G5/5, January 2015
5 Conclusion
In support of the Electromagnetic Compatibility Regulations 2006[1], this Recommendation
sets out the good practice for the limitation of harmonic voltage disturbance on the public
supply systems in the United Kingdom.
This is achieved through the definition of Planning and Compatibility levels for all power
system voltage levels and a suitable three-staged procedure for the assessment of the
impact of equipment connections to the supply system.
Both Non-Linear and Resonant Plant connections are considered: Non-Linear plant because
of their associated harmonic emissions and Resonant Plant because of the shift in network
resonances which might result in non-compliance if not assessed.
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REFERENCES ER G5/5, January 2015
References
Precedence
This Recommendation makes reference to, and is based on, the contemporary versions of
the following documents. However, the current versions shall always take precedence over
withdrawn versions. Any conflicts between the documents shall be resolved through the
following technical precedence:
1. Directives and Regulations
2. Codes
3. This Recommendation
4. Harmonised Standards
Directives and Regulations
[1] Electromagnetic Compatibility Regulations. (Statutory Instrument 2006 No. 3418),
2006.
[2] DIRECTIVE 2004/108/EC OF THE EUROPEAN PARLIAMENT AND OF THE COUNCIL of 15
December 2004 on the Approximation of the Laws of the Member States Relating to
Electromagnetic Compatibility and Repealing Directive 89/336/EEC. December 2004.
OJ L390/24.
Standards
[3] Voltage Characteristics of Electricity Supplied by Public Distribution Networks. Number
BS EN 50160:2010. British Standards Institution, 389 Chiswick High Road, London W4
4AL, United Kingdom, August 2010. ISBN 978-0-58074103-6.
[4] ElectroMagnetic Compatibility (EMC) – Part 3-2: Limits – Limits for Harmonic Current
Emissions (Equipment Input Current ≤ 16 A Per Phase). Number BS EN 61000-3-
2:2006+A2:2009. British Standards Institution, 389 Chiswick High Road, London W4
4AL, United Kingdom, May 2006. ISBN 978-0-580-67372-6.
Page 40©ENA January 2, 2015
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REFERENCES ER G5/5, January 2015
[5] ElectroMagnetic Compatibility (EMC) – Part 3-12: Limits – Limits for Harmonic Currents
Produced by Equipment Connected to Public Low-Voltage Systems with Input Current
> 16 A and ≤ 75 A Per Phase. Number BS EN 61000-3-12:2011. British Standards
Institution, 389 Chiswick High Road, London W4 4AL, United Kingdom, second edition,
February 2012. ISBN 978-0-580-84608-3.
[6] ElectroMagnetic Compatibility (EMC) – Part 4-7: Testing and Measurement Techniques
– General Guide on Harmonics and Interharmonics Measurements and Instrumentation,
for Power Supply Systems and Equipment Connected Thereto. Number BS EN 61000-
4-7:2002+A1:2009. British Standards Institution, 389 Chiswick High Road, London W4
4AL, United Kingdom, January 2003. ISBN 978-0-580-77234-4.
[7] ElectroMagnetic Compatibility (EMC) – Part 4-30: Testing and Measurement Techniques
– Power Quality Measurement Methods. Number BS EN 61000-4-30:2003. British Stan-
dards Institution, 389 Chiswick High Road, London W4 4AL, United Kingdom, April 2009.
ISBN 978-0-580-57045-2.
[8] Planning Limits for Voltage Fluctuations Caused by Industrial, Commercial and Domes-
tic Equipment in the United Kingdom. Number Engineering Recommendation P28:1989.
Energy Networks Association, 18 Stanhope Place, Marble Arch, London W2 2HH, United
Kingdom, September 1989. ISBN 978-0-580-57045-2.
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A STAGE A ASSESSMENT EXAMPLES ER G5/5, January 2015
A Stage A Assessment Examples
A.1 Application of Equation 8 as the Stage A Qualifying Criterion
Equation 8 represents a qualifying criterion for the continuation of the assessment under
Stage A and is repeated below for reference.
∑
Snrpnt ×W
Ssc≤ β
A notable feature of this equation is that it does not solely relate to the connection be-
ing considered; rather, it evaluates the total connection capacity at the PCC. Therefore∑
Snrpnt relates to all connections to the PCC, each identified by their respective Snrpnt.
Three examples are considered to demonstrate the use of Equation 8.
A.1.1 Connection of a Water Treatment Facility to an Existing Substation
A water treatment plant wishes to connect to an existing 33 kV substation with a fault level
of 17.5 kA (1000 MVA). The plant is planned to have 3 MVA of Twelve-Pulse drives. There
are already two load customers and one generation customer connected to the substation
according to Figure 8.
33 kV, 17.5 kA
GRID
~Generator Process Plant
6-Pulse: 0.7 MVA
PFC: 1 MVAr
THDi: 80%
Warehouses
6-Pulse: 0.6 MVA
PFC: 0.5 MVAr
THDi: 70%
Water TreatmentPlant
12-Pulse: 8.9 MVA
THDi: 14%
Figure 8: Single-Line Diagram for Water Treatment Plant Connection
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A STAGE A ASSESSMENT EXAMPLES ER G5/5, January 2015
The generator itself has no Non-Linear or Resonant Plant and so is not considered in the
equation. The existing process plant and warehouses have both Power Factor Correction
(PFC) and Six-Pulse drives without series inductors. Based on this information, Equation 8
becomes:
(0.7 × 0.80 + 1.0 × 1.0) + (0.6 × 0.70 + 0.5 × 1.0) + (8.9 × 0.14)
1000= 0.37%
This is below the 0.57% required for MV and the connection may continue to be assessed
under Stage A.
A.1.2 Variation of Equation 8 With the Number of PCC Connections
The benefit of Equation 8 is that it considers that state of the network and does not prej-
udice existing connections. Consider Figure 9 which is used to demonstrate the effect of
existing connections on the application of Equation 8.
33 kV, 17.5 kA
GRID
Esiting Load A
6-Pulse: 4.0 MVA
THDi: 75%
Existing Load B
6-Pulse: 1.5 MVA
THDi: 70%
New Warehouse
6-Pulse: 3.0 MVA
THDi: 85%
Figure 9: Variation of Equation 8 With the Number of PCC Connections
If Existing Loads A and B are both in place, Equation 8 becomes:
(4.0 × 0.75) + (1.5 × 0.7) + (3.0 × 0.85)
1000= 0.66%
This is above the 0.57% limit, and would not qualify to be assessed under Stage A; it would
require the assessment to proceed to Stage B. This is to be expected because the two
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A STAGE A ASSESSMENT EXAMPLES ER G5/5, January 2015
existing loads are producing harmonic emissions and so there is likelihood that additional
Non-Linear load will require mitigation.
However, should the New Warehouse be connecting to a substation which only has Existing
Load B, then Equation 8 becomes 0.36% which is below the 0.57% limit. Therefore the
connection may continue to be assessed under Stage A.
A.1.3 Assessment Based on Non-Linear and Resonant Plant Capacity
Figure 10 illustrates the proposed connection of 33 kV cable to an existing substation which
hosts 4.5 MVA of Six-Pulse drives without smoothing inductors.
33 kV, 17.5 kA
GRID
Existing Load
6-Pulse: 4.5 MVA
THDi: 80%
33 kV Cable
3×1c800 mm2
0.39μF/km = 0.133 MVAr/km
Figure 10: Connection of Resonant Plant
It is possible to rearrange Equation 8 to establish what length of cable would necessitate a
Stage B connection. For the Six-Pulse drives:
4.5 × 0.80
1000= 0.36%
Therefore, for the cable, 0.21% remains available from the 0.57% limit, which means that:
ength × 0.133
1000≤ 0.21%
∴ ength ≤0.0021 × 1000
0.133 × 1.0= 15.79 km
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A STAGE A ASSESSMENT EXAMPLES ER G5/5, January 2015
Thus, if this cable is shorter than 15.79 km, it may be assessed under Stage A which, given
that there are no harmonic current emissions from the cable, indicates that the cable may
be connected without further assessment i.e. Equation 9 is inherently satisfied.
If, however, this cable is used over distances greater than 15.79 km, there might be res-
onant conditions which affect the background harmonic levels. Therefore the assessment
must proceed to Stage B.
Referring to Section A.1.2, it should be apparent that if there is more Non-Linear Plant or
Equipment, the prospective length of cable which may be assessed under Stage A will be
reduced because the risk of the cable resonances being excited by the current emissions
is more pronounced. Therefore Equation 8 inherently balances the risk of connection with
the simplicity of assessment under Stage A.
A.2 Calculation of Harmonic Current Limits Using Equation 9
Having established that a connection may be assessed under Stage A, the harmonic cur-
rent limits which are applicable to the substation characteristics must be calculated using
Equation 9.
Consider the connection of the water treatment plant of Figure 8. The 33 kV system has
a fault current sc = 17.5 kA and Planning Levels as defined in Table 3. The resulting
values of h in Amperes are provided in Table 17. If the aggregate individual harmonic
current emissions from the water treatment plant are below these limit values, or within
the marginal considerations of Section 4.1.9, then the plant may be connected without
further assessment. Otherwise, the assessment must proceed to Stage B.
It is worth noting that if the 33 kV system in Figure 8 were to be connected to another MV
system in a transformation series, then the applicable Planning Levels would be those of
an Intermediary Voltage Level, as discussed in Section 3.
A.3 Application of PWHD
Where more than four higher order harmonics exceed the limit values calculated in Table 17
the PWHD method may be used to assess whether or not the connection may still be
permitted without progression on to Stage B.
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A STAGE A ASSESSMENT EXAMPLES ER G5/5, January 2015
Table 17: Harmonic Current Limits [A] from Equation 9 for Figure 8
Order h Order h Order h Order h
26 1.08 51 0.70 76 0.632 16.41 27 0.96 52 0.77 77 1.143 21.88 28 1.05 53 1.66 78 0.634 4.92 29 3.24 54 0.75 79 1.115 13.13 30 1.01 55 1.59 80 0.626 3.18 31 3.00 56 0.74 81 0.557 18.96 32 0.98 57 0.66 82 0.618 2.30 33 0.87 58 0.73 83 1.069 6.34 34 0.95 59 1.48 84 0.60
10 1.96 35 2.60 60 0.71 85 1.0411 16.67 36 0.92 61 1.43 86 0.6012 1.60 37 2.44 62 0.70 87 0.5313 15.34 38 0.90 63 0.63 88 0.5914 1.48 39 0.80 64 0.69 89 1.0015 2.14 40 0.87 65 1.35 90 0.5816 1.38 41 2.18 66 0.68 91 0.9817 10.73 42 0.85 67 1.31 92 0.5818 1.30 43 2.07 68 0.67 93 0.5219 7.61 44 0.83 69 0.60 94 0.5720 1.24 45 0.74 70 0.66 95 0.9421 1.21 46 0.82 71 1.23 96 0.5622 1.18 47 1.88 72 0.65 97 0.9223 6.92 48 0.80 73 1.20 98 0.5624 1.13 49 1.80 74 0.64 99 0.5025 3.87 50 0.78 75 0.57 100 0.55
Table 18 presents the actual aggregate individual harmonic current emissions for the sys-
tem depicted in Figure 8. Harmonic orders 23, 25, 35, 37, 47 and 49, which are in bold, all
exceed the harmonic current limits calculated in Table 17, each by less than 10%.
Equation 1 for the PWHD may now be calculated as:
PWHD =
√
√
√
√
100∑
h=23
�
h
Ssc
�2
× 100%
=1
17500
√
√
√
√
√
23 × 7.262 + 25 × 4.142 + 35 × 2.792+
37 × 2.682 + 47 × 1.992 + 49 × 1.942× 100%
= 0.31%
which is below the 0.46% required as per Table 13. Therefore, although numerous individual
higher order harmonic current emissions exceed the calculated limits according to Equa-
tion 9, the connection may be connected without further assessment because the PWHD is
below the required level, thus ensuring that their effect on the system is controlled.
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A STAGE A ASSESSMENT EXAMPLES ER G5/5, January 2015
Table 18: Individual Harmonic Emissions [A] for Figure 8
Order Current Order Current Order Current Order Current
26 51 762 27 52 773 28 53 784 29 54 795 30 55 806 31 56 817 32 57 828 33 58 83 0.939 34 59 1.42 84
10 35 2.79 60 85 0.6811 15.01 36 61 1.09 8612 37 2.68 62 8713 12.27 38 63 8814 39 64 8915 40 65 9016 41 66 9117 42 67 9218 43 68 9319 44 69 9420 45 70 95 0.4221 46 71 1.06 9622 47 1.99 72 97 0.2123 7.26 48 73 0.80 9824 49 1.94 74 9925 4.14 50 75 100
A.4 Low Voltage Assessments
Low Voltage connections are catered for through the compliance with BS EN 61000-3-2[4],
BS EN 61000-3-12[5] and Equation 9. The application of Equation 9 has already been
demonstrated. The following three examples demonstrate the nuances of the application
of the British Standards cited in this Recommendation.
A.4.1 Connection of a 50 kVA Three-Phase Low Voltage Heat Pump
Consider the connection of a 50 kVA, three phase Heat Pump to the secondary terminals of
a 500 kVA 11 kV / 415 V distribution transformer which presents a three phase short-circuit
Fault Level of 8.7 MVA. There is no other known non-linear equipment on network and the
Heat Pump has a THD = 13%. The manufacturer states that the Heat Pump complies with
IEC 61000-3-12 in accordance with BS EN 61000-3-12 which states that:
For equipment complying with the harmonic current emission limits correspond-
ing to Rsce = 33, the manufacturer shall state in the instruction manual supplied
with the equipment: “Equipment complying with IEC 61000-3-12”
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A STAGE A ASSESSMENT EXAMPLES ER G5/5, January 2015
The term Rsce is defined in BS EN 61000-3-12 for three phase equipment as the ratio of
Ssc to Seq where Seq is the apparent rated power of the equipment and is equivalent to
Snrpnt in this Recommendation.
Based on the information provided, Equation 8 simplifies to:
∑
Snrpnt ×W
Ssc=0.05 × 0.13
8.7
= 0.08%
This is below the 1.44% required for LV and the connection may continue to be assessed
under Stage A.
To ensure the connection matches the BS EN 61000-3-12 assumption of Rsce ≥ 33, the
actual Rsce is determined as follows:
Ssc
Snrpnt=
8.7
0.05
= 174
This is higher than the required 33 and so the connection may proceed without further
assessment.
A.4.2 Connection of a 50 kVA Three-Phase Electric Vehicle Charger
Consider the connection of a 50kVA, three phase Electric Vehicle Charger to the secondary
terminals of a 500 kVA 11 kV / 415 V distribution transformer which presents a three phase
short-circuit Fault Level of 8.7 MVA. There is no other known non-linear equipment on net-
work and the Electric Vehicle Charger has a THD = 37%. In accordance with BS EN 61000-
3-12, the manufacturer states that:
This equipment complies with IEC 61000-3-12 provided that the short-circuit
power Ssc is greater than or equal to 12.5 MVA at the interface point between
the user’s supply and the public system. It is the responsibility of the installer
or user of the equipment to ensure, by consultation with the distribution network
operator if necessary, that the equipment is connected only to a supply with a
short-circuit power Ssc greater than or equal to 12.5 MVA.
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A STAGE A ASSESSMENT EXAMPLES ER G5/5, January 2015
Based on the information provided, Equation 8 simplifies to:
∑
Snrpnt ×W
Ssc=0.05 × 0.37
8.7
= 0.21%
This is below the 1.44% required for LV and the connection may continue to be assessed
under Stage A. However, the three phase short-circuit fault level is 8.7 MVA which does not
meet the stated requirement of Ssc ≥ 12.5 MVA. Therefore, the network would need to be
reinforced. For example, an 800 kVA transformer calculated to give Ssc = 12.6 MVA would
suffice.
The example manufacturer’s minimum requirement of 12.5 MVA fault level for equipment
rated at only 50 kVA implies Rsce = 250 which is very onerous and hence the onerous
network implication of having to use an 800 kVA transformer for a disturbing load of only
50 kVA.
A.4.3 Connection of a 10.35 kVA Single Phase Heat Pump
Consider the connection of a 10.35 kVA, single phase Heat Pump to an LV network which
presents a single phase short-circuit Fault Level of 749.8 kVA at 230 V. There is no other
known non-linear equipment on network and the Heat Pump has a THD = 23%. The
manufacturer states that the Heat Pump complies with BS EN 61000-3-12.
Based on the information provided, Equation 8 simplifies to:
∑
Snrpnt ×W
Ssc=0.01035 × 0.23
0.7498
= 0.32%
This is below the 1.44% required for LV and the connection may continue to be assessed
under Stage A. The term Rsce is defined in BS EN 61000-3-12 for single phase equipment
as the ratio of Ssc to 3× Seq where Seq is the apparent rated power of the equipment and
equivalent to Snrpnt in this recommendation.
However, Ssc is the three phase fault level and may not be applicable to a single phase net-
work. This problem is overcome by dealing in single phase quantities thereby ensuring the
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A STAGE A ASSESSMENT EXAMPLES ER G5/5, January 2015
condition of Rsce ≥ 33 is met. The actual single-phase Rsce may therefore be determined
using the single phase quantities provided:
Ssc
Snrpnt=
0.7498
0.01035
= 72.44
This is higher than the required 33 and so the connection may proceed without further
assessment.
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B STAGE B ASSESSMENT EXAMPLES ER G5/5, January 2015
B Stage B Assessment Examples
Consider the example of the Figure 11 relating to the connection of a 20 MW (25MVA) wind
farm to a 33 kV PCC.
33 kV, 17.5 kA, 50 MVA Capacity
33 kV, 17.5 kA
GRID
Existing Customers
Ppcc: 25 MW
12-Pulse: 19 MVA
THDi: 15%
PFC: 0.3 MVAr
W W
10×2 MW
Wind Turbines
THDi: 11%
cosθ: 0.8
33 kV Cable
500m×3×1c800 mm2
0.19μF/km → 0.0325 MVAr
Figure 11: Connection of Onshore Wind Turbines
The scale of the installation, and the existence of other customers with Non-Linear Plant
and Equipment means that Equation 8 results in a value of:
∑
Snrpnt ×W
Ssc=19 × 0.15 + 0.3 × 1.0 + 25 × 0.11 + 0.325 × 1.0
1000
=6.225
1000= 0.62% (19)
which is above the 0.57% required to continue assessment under Stage A. Therefore a
Stage B assessment must be undertaken.
B.1 Headroom Calculations Using Equations 10, 11 and 12
Table 19 presents the measured background harmonic voltage distortion levels at the 33 kV
PCC.
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B STAGE B ASSESSMENT EXAMPLES ER G5/5, January 2015
Table 19: Background Harmonic Voltage Distortion [%V1] for Figure 11
Order Vh Order Vh Order Vh Order Vh
26 0.0024 51 0.0016 76 0.00082 0.0160 27 0.0081 52 0.0054 77 0.00273 0.2232 28 0.0031 53 0.0021 78 0.00104 0.0249 29 0.0269 54 0.0179 79 0.00905 1.5087 30 0.0024 55 0.0016 80 0.00086 0.0095 31 0.0110 56 0.0073 81 0.00377 0.7607 32 0.0022 57 0.0015 82 0.00078 0.0040 33 0.0050 58 0.0033 83 0.00179 0.0279 34 0.0025 59 0.0017 84 0.0008
10 0.0036 35 0.0422 60 0.0281 85 0.014111 0.2039 36 0.0022 61 0.0015 86 0.000712 0.0025 37 0.0084 62 0.0056 87 0.002813 0.1901 38 0.0022 63 0.0015 88 0.000714 0.0024 39 0.0035 64 0.0023 89 0.001215 0.0170 40 0.0022 65 0.0015 90 0.000716 0.0030 41 0.0071 66 0.0047 91 0.002417 0.0813 42 0.0027 67 0.0018 92 0.000918 0.0029 43 0.0048 68 0.0032 93 0.001619 0.0434 44 0.0024 69 0.0016 94 0.000820 0.0022 45 0.0041 70 0.0027 95 0.001421 0.0076 46 0.0023 71 0.0015 96 0.000822 0.0022 47 0.0067 72 0.0045 97 0.002223 0.0158 48 0.0023 73 0.0015 98 0.000824 0.0022 49 0.0048 74 0.0032 99 0.001625 0.0210 50 0.0025 75 0.0017 100 0.0008
The total available headroom is calculated using Equation 10 based on these measured
values and the Planning Levels for MV shown in Table 3. Equations 11 and 12 are then
used develop the resonance- and emission-headroom profiles which are specific to the
connection under assessment. The resulting profiles are provided in Tables 20 and 21
respectively.
It is worth noting that if the 33 kV system in Figure 11 were to be connected to another MV
system in a transformation series, then the applicable Planning Levels would be those of
an Intermediary Voltage Level, as discussed in Section 3.
B.2 Ensuring Resonance Compliance Using Equation 13
Given that the wind farm includes a component of Resonant plant in the form of 33 kV
cables, Equation 13 shall be used to establish whether or not there is a risk of resonance.
The resonant frequency is calculated as hr =p
Ssc/Q = 55.47. Therefore this evaluation
will be performed for both orders 55 and 56. The measured background for both orders
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B STAGE B ASSESSMENT EXAMPLES ER G5/5, January 2015
Table 20: Harmonic Voltage Distortion Resonance Headroom Profile [%V1] for Figure 11based on Equation 11
Order Vh Order Vh Order Vh Order Vh
26 0.0448 51 0.0403 76 0.04482 0.0745 27 0.0403 52 0.0448 77 0.08123 0.1395 28 0.0448 53 0.0977 78 0.04484 0.0440 29 0.1413 54 0.0446 79 0.08035 0.0749 30 0.0448 55 0.0958 80 0.04486 0.0530 31 0.1352 56 0.0448 81 0.04037 0.3163 32 0.0448 57 0.0403 82 0.04488 0.0472 33 0.0403 58 0.0448 83 0.07869 0.1412 34 0.0448 59 0.0923 84 0.0448
10 0.0472 35 0.1245 60 0.0444 85 0.077711 0.4459 36 0.0448 61 0.0908 86 0.044812 0.0448 37 0.1205 62 0.0448 87 0.040313 0.4462 38 0.0448 63 0.0403 88 0.044814 0.0448 39 0.0403 64 0.0448 89 0.076315 0.0671 40 0.0448 65 0.0879 90 0.044816 0.0448 41 0.1131 66 0.0448 91 0.075617 0.3581 42 0.0448 67 0.0866 92 0.044818 0.0448 43 0.1100 68 0.0448 93 0.040319 0.2688 44 0.0448 69 0.0403 94 0.044820 0.0448 45 0.0403 70 0.0448 95 0.074321 0.0448 46 0.0448 71 0.0843 96 0.044822 0.0448 47 0.1044 72 0.0448 97 0.073723 0.2689 48 0.0448 73 0.0832 98 0.044824 0.0448 49 0.1020 74 0.0448 99 0.040325 0.1568 50 0.0448 75 0.0403 100 0.0448
is below 0.1% and so Vhrreƒ is set to 0.1%. Equation 13 may now be used to check for a
prospective resonance problem:
p
SscQc
PPCC× Vhrreƒ < Vhrhr−resonnce
p1000 × 0.325
25× 0.1% = 0.0721
This value is below the resonance headroom values from Table 20 which are 0.2786% and
0.1303% for the 55th and 56th orders respectively.
Therefore, the connection does not pose a significant risk of non-compliance from resonant
amplification of the background levels. Were this not the case, the assessment would
need to proceed to a Stage C evaluation because the risk of resonance needs to be more
thoroughly investigated.
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B STAGE B ASSESSMENT EXAMPLES ER G5/5, January 2015
Table 21: Harmonic Voltage Distortion Emission Headroom Profile [%V1] for Figure 11 basedon Equation 12
Order Vh Order Vh Order Vh Order Vh
26 0.1304 51 0.1174 76 0.13042 0.6310 27 0.1173 52 0.1304 77 0.23633 1.1808 28 0.1304 53 0.2842 78 0.13044 0.3721 29 0.4111 54 0.1299 79 0.23355 0.6341 30 0.1304 55 0.2786 80 0.13046 0.2435 31 0.3933 56 0.1303 81 0.11747 1.4545 32 0.1304 57 0.1174 82 0.13048 0.2169 33 0.1173 58 0.1304 83 0.22869 0.6491 34 0.1304 59 0.2686 84 0.1304
10 0.2170 35 0.3623 60 0.1291 85 0.226111 1.2974 36 0.1304 61 0.2640 86 0.130412 0.1304 37 0.3507 62 0.1304 87 0.117413 1.2983 38 0.1304 63 0.1174 88 0.130414 0.1304 39 0.1174 64 0.1304 89 0.222015 0.1953 40 0.1304 65 0.2558 90 0.130416 0.1304 41 0.3292 66 0.1304 91 0.220017 1.0420 42 0.1304 67 0.2521 92 0.130418 0.1304 43 0.3200 68 0.1304 93 0.117419 0.7820 44 0.1304 69 0.1174 94 0.130420 0.1304 45 0.1173 70 0.1304 95 0.216221 0.1303 46 0.1304 71 0.2452 96 0.130422 0.1304 47 0.3038 72 0.1304 97 0.214423 0.7824 48 0.1304 73 0.2421 98 0.130424 0.1304 49 0.2968 74 0.1304 99 0.117425 0.4563 50 0.1304 75 0.1174 100 0.1304
B.3 Calculation of Harmonic Impedances and Current Limits Using
Equations 14 and 15
Having satisfied the conditions for resonance and calculated the emission headroom which
is available to the connection, the harmonic impedance and harmonic current limits may
now be calculated according to Equations 14 and 15 respectively. The results of these cal-
culations are shown in Tables 22 and Table 23. The actual harmonic current emissions are
presented in Table 24 from which it becomes evident that the limits are not breached, and
the connection may be permitted without further assessment. Were this not the case, and
the marginal conditions of Section 4.1.9 were equally not met, then the connection would
need to proceed onto a Stage C assessment where the harmonic impedance modelling is
more accurate.
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B STAGE B ASSESSMENT EXAMPLES ER G5/5, January 2015
Table 22: Calculated Harmonic Impedance [Ohms] for Figure 11 based on Equation 14
Order Zh Order Zh Order Zh Order Zh
26 11.11 51 15.55 76 18.992 4.36 27 11.32 52 15.71 77 19.113 6.53 28 11.52 53 15.86 78 19.244 8.71 29 11.73 54 16.00 79 19.365 10.89 30 11.93 55 16.15 80 19.486 7.83 31 12.13 56 16.30 81 19.607 8.74 32 12.32 57 16.44 82 19.728 9.62 33 12.51 58 16.59 83 19.849 10.46 34 12.70 59 16.73 84 19.96
10 11.28 35 12.89 60 16.87 85 20.0811 7.22 36 13.07 61 17.01 86 20.2012 7.54 37 13.25 62 17.15 87 20.3213 7.85 38 13.43 63 17.29 88 20.4314 8.15 39 13.60 64 17.42 89 20.5515 8.44 40 13.77 65 17.56 90 20.6616 8.71 41 13.95 66 17.69 91 20.7817 8.98 42 14.12 67 17.83 92 20.8918 9.24 43 14.28 68 17.96 93 21.0019 9.49 44 14.45 69 18.09 94 21.1220 9.74 45 14.61 70 18.22 95 21.2321 9.98 46 14.77 71 18.35 96 21.3422 10.22 47 14.93 72 18.48 97 21.4523 10.45 48 15.09 73 18.61 98 21.5624 10.67 49 15.25 74 18.74 99 21.6725 10.89 50 15.40 75 18.86 100 21.78
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B STAGE B ASSESSMENT EXAMPLES ER G5/5, January 2015
Table 23: Calculated Harmonic Current Limits [A] for Figure 11 based on Equation 15
Order h Order h Order h Order h
26 2.24 51 1.44 76 1.312 27.60 27 1.97 52 1.58 77 2.363 34.43 28 2.16 53 3.42 78 1.294 8.14 29 6.68 54 1.55 79 2.305 11.09 30 2.08 55 3.29 80 1.286 5.92 31 6.18 56 1.52 81 1.147 31.69 32 2.02 57 1.36 82 1.268 4.30 33 1.79 58 1.50 83 2.209 11.82 34 1.96 59 3.06 84 1.24
10 3.66 35 5.36 60 1.46 85 2.1511 34.22 36 1.90 61 2.96 86 1.2312 3.29 37 5.04 62 1.45 87 1.1013 31.50 38 1.85 63 1.29 88 1.2214 3.05 39 1.64 64 1.43 89 2.0615 4.41 40 1.80 65 2.78 90 1.2016 2.85 41 4.50 66 1.40 91 2.0217 22.11 42 1.76 67 2.69 92 1.1918 2.69 43 4.27 68 1.38 93 1.0619 15.69 44 1.72 69 1.24 94 1.1820 2.55 45 1.53 70 1.36 95 1.9421 2.49 46 1.68 71 2.55 96 1.1622 2.43 47 3.88 72 1.34 97 1.9023 14.27 48 1.65 73 2.48 98 1.1524 2.33 49 3.71 74 1.33 99 1.0325 7.98 50 1.61 75 1.19 100 1.14
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B STAGE B ASSESSMENT EXAMPLES ER G5/5, January 2015
Table 24: Actual Harmonic Current Emissions [A] for Figure 11
Order h Order h Order h Order h
26 0.81 51 0.28 76 0.092 26.37 27 0.78 52 0.27 77 0.093 33.17 28 0.75 53 0.27 78 0.094 7.91 29 0.73 54 0.26 79 0.095 10.55 30 0.35 55 0.13 80 0.046 3.75 31 0.68 56 0.25 81 0.097 14.84 32 0.33 57 0.12 82 0.048 2.25 33 0.32 58 0.12 83 0.049 4.69 34 0.31 59 0.12 84 0.04
10 3.16 35 0.30 60 0.12 85 0.0411 3.84 36 0.29 61 0.12 86 0.0412 1.88 37 0.29 62 0.11 87 0.0413 4.06 38 0.28 63 0.11 88 0.0414 1.61 39 0.54 64 0.22 89 0.0815 2.30 40 0.53 65 0.22 90 0.0816 1.41 41 0.51 66 0.21 91 0.0817 2.48 42 0.50 67 0.21 92 0.0818 1.25 43 0.49 68 0.21 93 0.0819 2.22 44 0.48 69 0.20 94 0.0720 1.13 45 0.47 70 0.20 95 0.0721 1.07 46 0.49 71 0.21 96 0.0822 0.96 47 0.45 72 0.20 97 0.0723 2.29 48 0.44 73 0.19 98 0.0724 0.88 49 0.43 74 0.19 99 0.0725 1.27 50 0.42 75 0.19 100 0.07
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C INTERMEDIARY VOLTAGE DISTORTION LEVELS ER G5/5, January 2015
C Intermediary Voltage Distortion Levels
A typical power system would comprise transformation stages from LV to MV, MV to HV and
HV to EHV. Under certain circumstances, and particularly within the MV band of voltages,
an Intermediary Voltage (IV) level is introduced within an isolated series of transformation
stages between the MV and HV voltage levels. This scenario is depicted in Figure 12.
Bus A400 V
Bus B33 kV
Bus C132 kV
Bus F33 kV
Bus E11 kV
Bus D400 V
Figure 12: An Example of a Transformation Sequence to Which Voltage Distortion LevelAdjustment is Applicable
It should be evident that only the 33 kV Bus F is subject to Voltage Distortion Level ad-
justment because it exists as an Intermediary Voltage level between the 11 kV Medium
Voltage and the 132 kV High Voltage levels. Therefore, in order to ensure sufficient gradu-
ation across the transformation stages, an adjustment must be made for its Planning and
Compatibility levels.
Although Bus B is also at a 33 kV voltage level, it is the MV level between LV and HV
levels and is therefore already covered by the inherent graduation of the Planning and
Compatibility levels in this Recommendation.
As an example of the application of Equation 4, consider the IHD Planning Level for the 7th
harmonic order of 3% for MV and 2% for HV. Therefore for the IV level of 33 kV between
11 kV and 132 kV, we derive a Planning Level at Bus F of:
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C INTERMEDIARY VOLTAGE DISTORTION LEVELS ER G5/5, January 2015
VDLV = VDLMV − (VDLMV − VDLHV) ×
√
√
√
Vnom−V − Vnom−MVVnom−HV − Vnom−MV
VDLBsF = 3.00% − (3.00% − 2.00%) ×
√
√
√33 − 11
132 − 11
= 2.57% (20)
Figure 13 provides a visual representation of the equation and the resulting solution. This
same philosophy may be applied to all Planning and Compatibility levels for both Indi-
vidual and Total Harmonic Distortion levels. Tables 25 and 26 document the Graduated
IHD Planning and Compatibility Levels respectively for this example. These correspond to
Graduated THD Planning and Compatibility Levels of 3.57% and 6.72% respectively for the
Intermediary Voltage of 33 kV.
2.00
2.57
3.00
Volta
geD
isto
rtio
nLe
vel[
%]
11 33 132Nominal Voltage [kV]
Figure 13: Planning Level Adjustment of the 7th Harmonic Order IHD for Figure 12
Another common transformation series 132/66/11 kV for which the IV THD Planning and
Compatibility Levels are 3.33% and 5.98% respectively. Tables 27 and 28 provide the IHD
Planning and Compatibility Levels respectively.
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C INTERMEDIARY VOLTAGE DISTORTION LEVELS ER G5/5, January 2015
Table 25: Planning Levels for the Intermediary Voltage 33kV in a 132/33/11kV Transforma-tion Series
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 2.57 3 2.57 2 1.297 2.57 9 1.11 4 0.86
11 1.79 15 0.30 6 0.4513 1.79 21 0.20 8 0.4017 1.34 ≥27 0.18 10 0.4019 1.11 ≥12 0.2023 0.99
≥25 0.5025h + 0.20
Table 26: Compatibility Levels for the Intermediary Voltage 33kV in a 132/33/11kV Trans-formation Series
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 2.33 3 2.33 2 1.167 2.33 9 1.07 4 0.83
11 1.66 15 0.30 6 0.4513 1.66 21 0.20 8 0.4017 1.20 ≥27 0.18 10 0.4019 1.07 ≥12 0.2023 0.86
≥25 0.5025h + 0.20
Table 27: Planning Levels for the Intermediary Voltage 66kV in a 132/66/11kV Transforma-tion Series
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 5.15 3 3.76 2 1.627 3.76 9 1.33 4 0.95
11 2.69 15 0.37 6 0.5013 2.40 21 0.27 8 0.4717 1.62 ≥27 0.20 10 0.47
19 1.33 ≥12 0.1212h + 0.23
23 1.14
≥25 1.1225h − 0.25
≥53 0.2653h + 0.22
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C INTERMEDIARY VOLTAGE DISTORTION LEVELS ER G5/5, January 2015
Table 28: Compatibility Levels for the Intermediary Voltage 66kV in a 132/66/11kV Trans-formation Series
Odd harmonics Odd harmonics Even harmonics(non-multiple of 3) (multiple of 3)
Order h Vhp [%] Order h Vhp [%] Order h Vhp [%]
5 4.65 3 3.04 2 1.397 3.04 9 1.23 4 0.92
11 2.22 15 0.35 6 0.5013 2.06 21 0.25 8 0.4617 1.39 ≥27 0.20 10 0.46
19 1.23 ≥12 0.0712h + 0.23
23 1.15
≥25 0.8725h − 0.24
≥53 0.2653h + 0.22
Page 61©ENA January 2, 2015