Harmonic and Energy Saving Solutions - … 3/Harmonic Workshop/PQSynergy Harmonic… · Private and...
Transcript of Harmonic and Energy Saving Solutions - … 3/Harmonic Workshop/PQSynergy Harmonic… · Private and...
Harmonic and Energy Saving Solutions
Power Quality You Can Trust | Real World Experience | A History of Innovation
Harmonic and Energy Saving Solutions
Harmonics Workshop PQSynergy 2015 Tony Hoevenaars, P.Eng., President & CEO Talayeh Ameri, B.Eng., Sales & Application Support Engineer
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What we will Discuss
A. Power System Harmonics Basics B. How do Harmonics Create Problems on the
Power System? C. Various Forms of Harmonic Mitigation D. Computer Simulation Software for VSD
Harmonic Analysis
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Power System Harmonics Basics
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• Deviations of voltage and current waveforms from sinusoidal are described in terms of ‘Waveform Distortion’ or ‘Harmonic Distortion’
• A ‘Harmonic’ refers to a component of a periodic signal, that is sinusoidal and also periodic with a frequency that is an integer multiple of the fundamental frequency
Power System Harmonics
• In the majority of cases, harmonic distortion is produced by a customer’s equipment (non-linear load) injecting electrical noise into the power system – Major culprits are the Variable
Speed Drive and other power electronic equipment
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Current Waveforms and Harmonic Spectrums for Various Types of Loads
Power electronics and energy efficient
technologies are typically non-linear
ITHD = 30% - 125% KFactor = 4 to 13
ITHD = 30% - 80% KFactor = 4 to 9
0 20 40 60 80
100
1 3 5 7 9 11 13 15
Non-linear (1-phase)
0
20
40
60
80
100
1 3 5 7 9 11 13 15 17 19 21 23 25harmonic
% F
und.
Non-linear (3-phase)
Linear Load 0 20 40 60 80
100
1 3 5 7 9 11 13 15
ITHD = 0 KFactor = 1
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Non-linear Loads and Harmonics Typical Circuit Diagram of Switch-mode Power Supply
Load
Lls
vac
iac
Rectifier Bridge
Switch-mode dc-to-dc converter
Smoothing Capacitor
Cf
0
20
40
60
80
100
1 3 5 7 9 11 13 15
h = harmonic number p = # of pulses in rectification scheme n = any integer (1, 2, 3, etc.) Ih = magnitude of harmonic current (addition of DC bus cap increases Ih)
For simple diode bridge rectifiers, h = np 1, Ih = I h
+ _
When, p = 2 h = 3, 5, 7, 9, 11,13, 15, 17, 19...
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1-Phase Rectifier Operation: 2-Pulse
0º 180º 360º
VLN
L
N
Average DC Bus voltage (1.414 x VRMS less ripple)
1 2
h = np 1,
+ _
When p = 2, h = 3,5,7,9,11,13,15,…
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Harmonics: Components of a Distorted Waveform
Distorted Waveform
-2
-1
0
1
2
Fundamental - 60 Hz
-1.5-1
-0.50
0.51
1.5
Distorted Waveform
-3
-2
-1
0
1
2
3
3rd Harmonic - 180 Hz
-1.5-1
-0.50
0.51
1.5
5th Harmonic - 300 Hz
-1.5-1
-0.50
0.51
1.5
Fourier Series f(t) = Ao+A1sin(wt+θ1)+A2sin(2wt+θ2)+A3sin(3wt+θ3) ...
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3-phase, 6-Pulse Rectifier and Harmonics
h = np 1, Ih = I h
+ _ For simple diode bridge rectifiers:
When, p = 6 h = -- 5,7,--,11,13,--,17,19... 0
20
40
60
80
100
1 3 5 7 9 11 13 15 17 19 21 23 25harmonic
% F
und.
. ia
Current Waveform and Spectrum
h = harmonic number p = # of pulses in rectification scheme n = any integer (1, 2, 3, etc.) Ih = magnitude of harmonic current (addition of DC bus cap increases Ih)
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3-Phase Rectifier Operation: 6-Pulse
120º 120º
0º 180º 360º
1 2 3 4 5 6
VAN
VBC VBA VCA VCB
VBN VCN
A
B
C
VAB VAB VAC VAC Average DC Bus voltage (1.414 x VRMS less ripple)
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Harmonics: Components of a Distorted Waveform
Distorted Waveform
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
Fourier Series f(t) = Ao+A1sin(wt+θ1)+A2sin(2wt+θ2)+A3sin(3wt+θ3) ...
Fundamental - 60 Hz
-1.5
-1
-0.5
0
0.5
1
1.5
5th Harmonic - 300 Hz
-1.5
-1
-0.5
0
0.5
1
1.5
7th Harmonic - 420 Hz
-1.5
-1
-0.5
0
0.5
1
1.5
Resultant Waveform
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
Resultant Waveform
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2Resultant Waveform
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
Harmonic Spectrum
0
20
40
60
80
100
1 3 5 7 9 11 13
Harmonic #
% o
f Fun
dam
enta
l
Harmonic Spectrum
0
20
40
60
80
100
1 3 5 7 9 11 13
Harmonic #
% o
f Fun
dam
enta
l
Harmonic Spectrum
0
20
40
60
80
100
1 3 5 7 9 11 13
Harmonic #
% o
f Fun
dam
enta
l
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Total Harmonic Distortion
• ‘Fundamental Current’ refers to the current carried in the fundamental frequency, Ih1 (60 Hz).
• ‘Current Total Harmonic Distortion’ refers to the ratio of all harmonic currents to the fundamental current.
( )%100
1
2
2max
⋅=∑
=
h
h
hh
I
IiTHD
Ratio of the root-sum-square (RSS) value of the harmonic content of the current to the RMS value of the fundamental current.
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Defining Level of Harmonic Content - Non-Linearity
I(THD) = I + I +....+ I 2 2 2 2
3 h 1 I
x 100%
Total Harmonic Distortion
K-rating I h h h
h
= =
∑ 2 2
1
max
K Factor
PF = 1 1 + (I(THD))2
Distortion Power Factor
Harmonic %Fund. %RMS I2H2
1 100% 77% 0.593 70% 54% 2.615 35% 27% 1.817 20% 15% 1.169 15% 12% 1.08
11 10% 8% 0.7213 7% 5% 0.4915 3% 2% 0.1217 2% 2% 0.0719 1% 1% 0.0221 0% 0% 0.00
I(THD) 83% 64%I(RMS) 130%
PF 0.77K Factor 9
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Defining Level of Harmonic Content - Non-Linearity
Harmonic %Fund. %RMS I2H2 %Fund. %RMS I2H2 %Fund. %RMS I2H2
1 100% 91% 0.83 100% 96% 0.93 100% 66% 0.433 35% 32% 0.91 0% 0% 0.00 90% 59% 3.155 25% 23% 1.29 25% 24% 1.45 55% 36% 3.277 12% 11% 0.58 10% 10% 0.45 35% 23% 2.599 9% 8% 0.54 0% 0% 0.00 20% 13% 1.40
11 3% 3% 0.09 7% 7% 0.55 15% 10% 1.1813 2% 2% 0.06 3% 3% 0.14 10% 7% 0.7315 1% 1% 0.02 0% 0% 0.00 6% 4% 0.3517 1% 1% 0.02 3% 3% 0.24 4% 3% 0.2019 1% 1% 0.03 2% 2% 0.13 2% 1% 0.0621 0% 0% 0.00 0% 0% 0.00 1% 1% 0.02
I(THD) 46% 42% 28% 27% 115% 75%I(RMS) 110% 104% 152%
PF 0.91 0.96 0.66K Factor 4 4 13
1 Phase 3 Phase 1 Phase
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How Harmonics Affect Power Factor & kVA
True Power Factor = (Displacement Power Factor) x (Distortion Power Factor)
With Non-linear Loads
Q = kVAR (nonwork
producing)
P = kW (work producing)
H = kVARH (nonwork
producing)
S = kVA
φ
S P Q H = + + 2 2 2
kVA kW kVAR kVAR H = + + 2 2 2
pf P S
kW kVA
= = ≠ cos φ
Q = kVAR (nonwork
producing)
P = kW (work producing)
S = kVA
φ
With Linear Loads φ cos = = =
kVA kW
S P pf
S P Q = + 2 2
kVA kW kVAR = + 2 2
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THID & PF Measurements on 60 HP AC VSD
Input CurrentWaveform Spectrum THID
PowerFactor
6-PulseRectifier, PWM
VSD -150
-100
-50
0
50
100
150
Amps
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Power System Harmonic Resonance
Typical Single Line Diagram
M XC
XS
XT XL Non-linear
Loads
Equivalent Diagram
Harmonic Current Source
XTh
XSYSh Ih
Irh
Eh XCh
Problems that can result include: - Destroyed capacitors and their fuses - Damaged surge suppressors - Failure of connected equipment - System shutdowns
Resonance will occur when:
XCh = XSYSh (XSYSh = XS || XL ) At resonance, the circulating current is limited only by the resistance in the circuit.
Reac
tanc
e
Frequency
X
XL= 2πfL
XC = 1 2πfC
fo = 1 2π LC
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Example of Power System Resonance An Oil Field in Mid-West USA was equipped with many Electrical Submersible Pumps (ESP’s) creating high levels of ITHD & VTHD
Problem:
• Utility installed PF correction capacitors were failing frequently
• Oil company was forced to install harmonic mitigation
Solution:
• Resonance was eliminated by turning off PF capacitors
• Passive harmonic filters were installed on all ESP’s to reduce VTHD to < 5%
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Harmonics and Symmetrical Components
Important Note: Reversing the phase sequence to a transformer will reverse its phase shift (eg. -30o +30o)
+ + = Positive sequence System (A, B, C)
C + B +
A +
120o
C -
B - A -
120o
Negative sequence System (A, C, B)
Zero sequence System
(3 single phase)
Unbalanced 3 Phase System (A, B, C)
Relationship between harmonic number and phase sequence:
Harmonic 1 (fund.)
2 3 4 etc.
Sequence
5 6 7 8 9 10 11 12 13 14 15
0 0 0 0 0
A + A -
+ + + + + - - - - -
C + B +
C -
B -
A 0 B 0
C 0
A 0 B 0
C 0 C
B
A
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Summary of Power System Harmonics Basics • Harmonics are components of a distorted waveform • It’s easier to analyze the effect of distorted current and
voltage waveforms using sinusoidal harmonic components – Fourier Analysis
• Power electronic loads draw distorted current waveforms and are therefore non-linear in nature
• Harmonic resonance needs to be considered especially when applying PF correction capacitors
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How do Harmonics Create Problems on the Power System?
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• Distortion of supply voltage causing premature failure or misoperation of connected equipment
• Over heating of distribution equipment such as cables (especially neutral conductors), transformers and generators
• False operation of circuit breakers and other protection devices
• Over heating of motors and other connected equipment • Low power factor requiring transformer kVA upsizing • Failure of PF correction capacitors • Metering errors (no longer a problem with digital meters) • Voltage regulation problems on generators • Power system resonance which amplifies the problem
What Problems can Harmonics Create?
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At the Load, Vh = Ih x (ZCh + ZTh + ZSh) At the Transf., Vh = Ih x (ZTh + ZSh) At the Source, Vh = Ih x (ZSh)
Vh = Ih x Zh (Ohm's Law) Vthd = V +V +....+V 2
2 2 2 3 h 1 V
x 100% Voltage total harmonic distortion
Sinusoidal Voltage Source (f1 = 60 Hz) Harmonic
Current Source
h I
ZSh
ZCh
~ ^ ^ V h
@ Source V h @ Transf.
V h @ Load
ZTh
Non-linear load
How Harmonic Currents Create Voltage Distortion
ZSh
ZCh
ZTh
CUSTOMER/UTILITY
UTILITY
VFD1
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Pulsed Current: • Switch-mode draws current
only while capacitor is charging
Voltage Flat-topping: • Pulsed current creates
voltage drop at peak of voltage waveform
Power Electronics and Harmonic Distortion
Voltage Current
Typical Circuit Diagram of Switch-mode Power Supply
Load
Lls
vac
iac
Rectifier Bridge
Switch-mode dc-to-dc converter
Smoothing Capacitor
Cf
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Lineator™ Installation at Chevron Canada (Simonette 10-19 Well - ESP Installation)
Presented by Peter O’Brien (CCR I & E Group) at Chevron EE Conference, San Antonio, Sept. 2000
T
TT
1) Ch 1: 50 Volt 2 ms 2) Ch 2: 200 A 2 ms
TTT
1) Ch 1: 200 Volt 2 ms 2) Ch 2: 500 A 2 ms
Input Without Filter Installed Input With Filter Installed
Voltage Current
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How Flat-topping Reduces Life Expectancy
• Voltage flat-topping reduces DC bus voltage
10% drop in peak voltage produces 11% increase in current and
• Lower DC voltage, increases current and I2R losses (heat)
P = V I If V = 0.9 pu, I = P = 1.0 = 1.11 pu V 0.9
23% increase in I2R losses
• Pre-mature component failure results from higher operating temperatures
PLoss = I2R = (1.11)2 (1) = 1.23 pu
DC Bus Voltage with: Sinusoidal Input Voltage (blue) Flat-topped Input Voltage (red)
-200-150-100-50
050
100150200
Volta
ge
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SCR Rectifier and Harmonics (DC Drive)
• Variable speed and torque is controlled by firing of SCR’s to adjust DC armature voltage
• Harmonic currents are characteristic of 6-Pulse VFD – Magnitudes can be
somewhat different than AC VFD’s
• Phase back angle lowers displacement PF and introduces commutation notches
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Distortion due to Commutation Notching
Ref: The Problems of Voltage Notch Phenomena in Power AC/DC Converters, R. Ghanderhari, Iran University of Science & Technology, UPEC 2007
Line Notching with Associated Ringing
Power system capacitance and inductance can cause resonance at commutation notch frequency resulting in ringing
Line Notching due to SCR Bridge Operation
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Electrical Distribution with 1-Ph Linear Loads
Balanced Currents cancel in neutral
= + +
Phase A Current
Phase B Current
Phase C Current
Neutral Current
Ground Wire
Transformer
Vn-g
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Electrical Distribution: 1-Ph Non-linear Loads
Transformer Phase A Current
Phase B Current
Phase C Current
Neutral Current
Ground Wire
Vn-g
•Heavy neutral currents - overheating neutrals •Overheating transformers •High neutral-gnd voltage •High Voltage distortion
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Harmonic Effect on Transformer Losses
3rd and 9th harmonics circulate in primary delta windings
Type of Loss Effect of Non-linear Loading No Load Loss Core
Stray eddy currents increase proportional to Ih
2h2 Load Loss I2R Eddy Current Other Stray
Losses
Negligible increase
Skin effect increases effective resistance and I2R losses
P P I h EC EC h h
h
= −
= ∑ 1
2 2
1
max
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• Most power electronic equipment now generates lower levels of harmonics – Previously ITHD levels over 100% were
not uncommon • However, harmonics have not been
totally eliminated – Standards can be met even if equipment
generates harmonic currents • Somewhat higher non-linear loading
is now possible before harmonic problems begin to appear
How have IEC Harmonic Standards Changed Things?
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IEC 61000-3-2 (2000(A14)) Standard: Limits for harmonic current emissions (equipment input current < 16A per phase, single & 3 phase
Class D: Equipment having a special waveshape (high crest factor) and input power < 600W
Class A: All other equipment except portable tools and lighting
Often referred to as ‘Power Factor Corrected’
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IEC 61000-3-2 (2000(A14)) Standard: Example of acceptable designs
500W power supply at 240V: If = 2.1A
I3 < 1.7A (.0034 x 500) I3/If = 81%
1kW power supply at 240V: If = 4.2A
I3 < 2.3A I3/If = 55%
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Computer Power Supply Harmonic Data: 500 to 850W Power Factor Corrected (Higher End)
Reference: Delta Products Corp., Aug. 2009
P.F. 0.9849 0.9829 0.9808 0.9774 0.9729 0.9638 0.9555 0.9427 0.9143 0.853THD 18.345 20.16 20.384 23.072 23.669 27.225 30.193 35.687 45.796 77.688Irms 3.657 3.296 2.934 2.566 2.207 1.851 1.5 1.163 0.818 0.494Harm-1 3.594 3.231 2.871 2.509 2.151 1.788 1.433 1.086 0.737 0.393Harm-3 0.588 0.556 0.514 0.472 0.434 0.42 0.376 0.323 0.263 0.174Harm-5 0.214 0.204 0.186 0.167 0.149 0.125 0.109 0.117 0.115 0.096Harm-7 0.119 0.107 0.09 0.08 0.078 0.093 0.109 0.084 0.053 0.06Harm-9 0.065 0.053 0.052 0.057 0.064 0.073 0.055 0.045 0.052 0.037Harm-11 0.039 0.041 0.044 0.045 0.042 0.035 0.037 0.048 0.023 0.028Harm-13 0.043 0.044 0.044 0.038 0.032 0.041 0.042 0.023 0.032 0.024Harm-15 0.042 0.045 0.043 0.041 0.035 0.039 0.028 0.04 0.022 0.015Harm-17 0.041 0.04 0.043 0.038 0.024 0.025 0.025 0.01 0.016 0.009Harm-19 0.037 0.038 0.036 0.025 0.01 0.024 0.019 0.025 0.021 0.018Harm-21 0.034 0.034 0.029 0.014 0.014 0.025 0.024 0.022 0.014 0.011Harm-23 0.034 0.03 0.027 0.02 0.021 0.024 0.019 0.014 0.014 0.007Harm-25 0.031 0.027 0.026 0.021 0.024 0.024 0.016 0.017 0.013 0.01Harm-27 0.028 0.028 0.026 0.023 0.026 0.015 0.021 0.017 0.011 0.008Harm-29 0.024 0.023 0.022 0.026 0.027 0.016 0.02 0.014 0.009 0.006Harm-31 0.022 0.024 0.023 0.028 0.024 0.015 0.019 0.011 0.015 0.01
Load 100% 90% 80% 70% 60% 50% 40% 30% 20% 10%
I3 = 23% of Fundamental
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Computer Power Supply Harmonic Data: 500 to 850W Power Factor Corrected (Lower End)
Reference: Delta Products Corp., Aug. 2009
P.F. 0.89 0.884 0.878 0.871 0.861 0.851 0.842 0.833 0.818 0.818THD% 37.738 39.413 41.518 44.337 47.267 50.743 53.79 56.305 56.111 55.14Irms 3.703 3.343 2.995 2.634 2.29 1.946 1.597 1.241 0.876 0.541Harm-1 3.465 3.111 2.768 2.413 2.07 1.736 1.407 1.081 0.763 0.475Harm-3 1.21 1.126 1.046 0.965 0.88 0.787 0.68 0.551 0.396 0.24Harm-5 0.399 0.393 0.386 0.379 0.351 0.32 0.278 0.225 0.148 0.081Harm-7 0.185 0.182 0.173 0.18 0.171 0.161 0.145 0.105 0.056 0.037Harm-9 0.136 0.131 0.127 0.117 0.108 0.091 0.073 0.058 0.018 0.013Harm-11 0.087 0.072 0.076 0.085 0.076 0.065 0.044 0.02 0.005 0.009Harm-13 0.063 0.069 0.064 0.049 0.052 0.046 0.025 0.015 0.008 0.003Harm-15 0.047 0.042 0.051 0.044 0.035 0.034 0.028 0.009 0.004 0.002Harm-17 0.053 0.044 0.033 0.03 0.041 0.03 0.016 0.01 0.004 0.003Harm-19 0.035 0.041 0.033 0.025 0.029 0.026 0.013 0.013 0.005 0.003Harm-21 0.057 0.036 0.026 0.031 0.024 0.023 0.015 0.016 0.003 0.005Harm-23 0.045 0.051 0.028 0.016 0.025 0.02 0.015 0.014 0 0.003Harm-25 0.052 0.032 0.032 0.018 0.03 0.024 0.016 0.011 0.005 0.002Harm-27 0.036 0.046 0.031 0.022 0.018 0.029 0.011 0.007 0.005 0.001Harm-29 0.033 0.036 0.045 0.015 0.02 0.025 0.01 0.006 0.005 0.003Harm-31 0.016 0.04 0.033 0.02 0.013 0.023 0.015 0.01 0.004 0.002
Load 100% 90% 80% 70% 60% 50% 40% 30% 20% 10%
I3 = 45% of Fundamental
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Summary on How Harmonics Create Problems on the Power System
• Harmonics are an accumulative problem – Large non-linear loads or an abundance of smaller loads can
create harmonic problems, such as overheating of power system components and equipment malfunctions
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Various Forms of Harmonic Mitigation
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Harmonics and Symmetrical Components
Important Note: Reversing the phase sequence to a transformer will reverse its phase shift (eg. -30o +30o)
+ + = Positive sequence System (A, B, C)
C + B +
A +
120o
C -
B - A -
120o
Negative sequence System (A, C, B)
Zero sequence System
(3 single phase)
Unbalanced 3 Phase System (A, B, C)
Relationship between harmonic number and phase sequence:
Harmonic 1 (fund.)
2 3 4 etc.
Sequence
5 6 7 8 9 10 11 12 13 14 15
0 0 0 0 0
A + A -
+ + + + + - - - - -
C + B +
C -
B -
A 0 B 0
C 0
A 0 B 0
C 0 C
B
A
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• Provide alternate low zero sequence impedance path – Diverts 3rd harmonic and other neutral current away
from neutral conductor and upstream distribution system
– Treats all zero sequence harmonics • 3rd, 9th, 15th, etc. (triplens)
• Apply phase shift between sets of non-linear loads – 30o shift between two powerpanels will cancel
balanced portion of 5th and 7th harmonic currents – Best when loads are balanced but effective even if
loads are not well balanced • Does not require capacitors or any tuned circuit
Passive Method for Treating 1-Phase Non-linear Loads
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Low Zero Sequence Path to Treat Triplen Harmonics (3rd, 9th, etc.)
• Multiple windings on common core
A +
C +
Positive Sequence Currents
C + B +
A +
• Windings of at least 2 phases on each core leg connected in opposite directions
• Fluxes created by zero sequence currents oppose each other and cancel, resulting in low impedance alternate path when connected in parallel on a 3-ph, 4-wire system
• Positive and negative sequence fluxes remain 120o out of phase and do not cancel
A B C N
ZIG-ZAG Reactor
A B C N Zero Sequence Currents A 0
B 0 C 0
A 0
C 0
A 0
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• Additive in Neutral • Circulate in TX
primary winding • High VNG • High VTHD
phase conductors
neutral
ground
Zco
phase-neutral electronic loads
panel
individual circuits A B C
N
G
Transformer
Zto IAO IBO ICO
IN= IAO + IBO + ICO ZNo
• Lowers neutral current
• Reduces current in TX
• Lowers VNG • Lowers VTHD
phase conductors
neutral
ground
Zco Zto
phase-neutral electronic loads
panel
individual circuits A B C
N G
NCE
Transformer
ZNo
A B C
Treating Triplen Harmonics through Low Zero Sequence Impedance
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Distribution Panel (DP)
TX-A (0o shift)
TX-B (-30o shift)
Power Panels with similar Non-Linear Loads
PPA PPB
Assumptions made to simplify analysis: • Transformers are ideal and 1:1 • All voltages and currents are
referenced to voltage at PPA • Only fundamental voltage and
5th harmonic current are shown • Fundamental voltage is +ve
sequence (TX sec. lags pri.) • 5th harmonic current is -ve
sequence (TX pri. lags sec.)
Canceling Harmonics by Phase Shifting How 30o Phase Difference Cancels 5th
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Canceling Harmonics by Phase Shifting How 30o Phase Difference Cancels 5th
Distribution Panel (DP)
TX-A (0o shift)
TX-B (-30o shift)
PPA PPB
• Since TX-A phase shift = 0o
V1AS = V1AP = V1BP
• And, I5AS = I5AP
V1AP
V1AS
V1BPV1AP
I5AP
V1AS
I5AS
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Canceling Harmonics by Phase Shifting How 30o Phase Difference Cancels 5th
Distribution Panel (DP)
TX-A (0o shift)
TX-B (-30o shift)
PPA PPB
V1BPV1AP
I5AP
V1AS
I5AS
• V1BS is shifted 30o by TX-B V1BS lags V1BP by 30o
• I5BS also lags by the same amount in time which is 1505
o relative to I5AS.
30o @ 300Hz(-ve sequence)
30o @ 60HzV1BS
30o @ 300Hz(-ve sequence)
30o @ 60Hz150o @ 300Hz V1BS
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Canceling Harmonics by Phase Shifting How 30o Phase Difference Cancels 5th
Distribution Panel (DP)
TX-A (0o shift)
TX-B (-30o shift)
PPA PPB
V1BPV1AP
I5AP
V1AS
I5AS
30o @ 300Hz(-ve sequence)
30o @ 60HzV1BS
30o @ 300Hz(-ve sequence)
30o @ 60Hz150o @ 300Hz V1BS
• Since 5th is negative sequence and TX-B shifts 30o, I5BP must lag I5BS by 305
o
V1BP
I5BP
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Canceling Harmonics by Phase Shifting How 30o Phase Difference Cancels 5th
Distribution Panel (DP)
TX-A (0o shift)
TX-B (-30o shift)
PPA PPB
V1BPV1AP
I5AP
V1AS
I5AS
30o @ 300Hz(-ve sequence)
30o @ 60HzV1BS
30o @ 300Hz(-ve sequence)
30o @ 60Hz150o @ 300Hz V1BS
V1BP
I5BP
• Total shift of I5BP is 1805o (1505
o + 305
o) relative to I5AP • 5th harmonic current cancels at
upstream Distribution Panel
V1AP = V1BP
I5AP
I5BP
I5AP + I5BP = 0
© 2013 Mirus International | All Rights Reserved
Canceling Harmonics by Phase Shifting How 30o Phase Difference Cancels 7th
Distribution Panel (DP)
TX-A (0o shift)
TX-B (-30o shift)
PPA PPB
• Shift of 30o in voltage shifts 7th harmonic current 2107
o • 7th harmonic current is +ve seq.
therefore I7BP must lead I7BS by 307o
• Total shift of I7BP is 1807o
(2107o - 307
o) relative to I7AP
V1AS
I7AS
V1AP
I7AP
30o @ 420Hz(+ve sequence)
30o @ 60Hz210o @ 420Hz V1BS
I7BS
V1BP
I7BP
V1AP = V1BP
I7AP
I7BP
I7AP + I7BP = 0
© 2013 Mirus International | All Rights Reserved
What about Load Diversity and Imbalance 5th Harmonic with and without 30o Phase Shift
Without Phase Shifting:
V1
I5A
V1
I5AI5BP
V1I5T
Assumptions: • 5th harmonic current at Panel B is
slightly out of phase with Panel A • 5th harmonic current on Panel B is
1.5x Panel A
With Phase Shifting:
V1
I5A
V1
I5BPI5A
V1
I5T
I5T without phase shifting
I5T with phase shifting
Still a 3 to 1 Improvement!!!
© 2013 Mirus International | All Rights Reserved
Harmonic Mitigation Demonstration - Without Harmonic Mitigation
3ph Line Reactor Z = 5%
23 watt compact fluorescent lamp (typ 6)
Phase Current I(thd) = 76.4% I(rms) = 0.49 amp
Neutral Current I3 = 0.81 amp
Voltage V(thd) = 13.6%
VN-G = 13 volts Gnd
L1 L2 L3
L1 N
SETUP DESCRIPTION: 1. 6 x 23 W compact fluorescent lamps used as non-linear load 2. 3-ph line reactor used to produce high voltage distortion & VN-G
© 2013 Mirus International | All Rights Reserved
Harmonic Mitigation Demonstration - With Harmonic Mitigation
23 watt compact fluorescent lamp (typ 6)
Phase Current I(thd) = 12.0% I(rms) = 0.56 amp
Neutral Current I3 = 0.03 amp
Voltage V(thd) = 3.9%
VN-G = 0.1 volts Gnd
L1 L2 L3
L1 N
3ph Line Reactor Z = 5%
Harmony-2 Autotran.
or CNCE-BID
RESULTS: 1. Current distortion reduced by 84% 2. Voltage distortion reduced by 71% 3. Neutral-ground voltage virtually eliminated
© 2013 Mirus International | All Rights Reserved
CNCE-FAI Typical Performance
Transformer
CNCE-FAITM
Non-linearLoads
From other Current THD = 106%, k-factor = 12Current THD = 14%, k-factor = 1.3
At transformer Sample load
non-linear loads
0
0.5
1
1 3 5 7 9 11 13 15Ha rmo nic
0
0.5
1
1 3 5 7 9 11 13 15Ha rmo nic
0%
1%
2%
3%
4%
5%
6%
7%
8%
9%
10%
1 3 5 7 9 11 13 15 17 19 21 23 25Harmo nic
% fu
ndam
enta
l
Before : 11.0%
After: 2.6%Parameter Before After Performance
Voltage Distortion 11.05% 2.60% 76% re ductionFe e de r Ne utra l Curre nt (A) 111 18 84% re ductionNe utra l-Ground Voltage (V) 6.04 1.6 74% re ductionCurre nt Distortion 64% 14% 78% re ductionCurre nt Imbalance 22.60% 5.00% 78% re ductionCurre nt Cre st Factor 2.1 1.7 19% re ductionPowe r Factor 0.76 0.95 25% improve me nt
Voltage Distortion at Panelboard
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Challenge: • Transformer running very hot
despite relatively light loading • High current harmonic distortion • High neutral current • High neutral-to-ground voltage • High ground currents • Low power factor • Visible video noise
Broadcasting Studio Harmonic Reduction
PP5
PP1
PP2
PP3
PP4
225 kVA 480-120/208V Z = 2.7%
120 ft
165 ft
115 ft
150 ft
10 ft
∆
200 amp (typ 4)
© 2013 Mirus International | All Rights Reserved
Broadcasting Studio Harmonic Reduction Solution: • Zero sequence harmonic filters
installed on 2 power panels – Parallel connected – Provide alternate path for 3rd, 9th
and other triplen harmonics • Zero sequence filter with 30 deg
phase shift installed on panel with heaviest load – Series connected – Treats 3rd, 5th, 7th and 9th
harmonics
PP5
PP1
PP2
PP3
PP4
225 kVA 480-120/208V Z = 2.7%
120 ft
165 ft
115 ft
150 ft
10 ft
∆
150 amp NCE 75 kVA
CNCE
150 amp NCE
200 amp (typ 4)
© 2013 Mirus International | All Rights Reserved
Broadcasting Studio Harmonic Reduction PP1 V(thd) I(thd) V(n-g) In Ig pf
Before 3.6% 79.9% 0.1 120.7 4.1 0.79After 2.5% 21.4% 0.1 29.1 1.9 0.97
Improved 31% 73% 0% 76% 54% 23%
PP5-CNCE V(thd) I(thd) V(n-g) In IgBefore 4.4% 78.4% 3.3 98.6 7.5After 2.4% 52.8% 1.3 5.4 1.4
Improved 45% 33% 61% 95% 81%
Results:
• Current distortion reduced by 73% • Voltage distortion reduced
throughout facility • Neutral current reduced upstream
of harmonic mitigation equipment – by 76% at PP1
• Neutral-to-ground voltage reduced at all power panels
• Ground current reduced throughout – 7.5A to 1.3A at PP5
• Transformer running much cooler • Power factor improved from 0.79
to 0.97 freeing up system capacity • Noticeable reduction in video noise
© 2013 Mirus International | All Rights Reserved
• AC line reactors or DC chokes – Typically reduce harmonics by half but this is often not sufficient
enough to prevent problems • Multipulse VSD (12-P, 18-P, 24-P, 36-P, etc.)
– Transformer phase shifting creates harmonic cancellation – Effectiveness of phase shifting diminishes as pulse number increases – Voltage imbalance and voltage distortion reduces effectiveness
• Phase shifting transformers – Can be used to create quasi multipulse schemes – Minimal effect on DC Drives due to thyristor firing differences – Similar performance challenges as per multipulse
• Parallel Active Filters – Generate and supply non-linear loads with harmonic currents so that
they do not need to be supplied by the source – Introduce high levels of high frequency harmonics
• Active Front-end VSD’s – IGBT rectifiers replace diode bridge rectifiers – Introduce high levels of high frequency harmonics
• Wide Spectrum Passive Harmonic Filter
VSD Harmonic Mitigation Options
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3-Phase Rectifier Operation: 12-Pulse
Phase – Neutral Voltages 0º 180º 360º
VAN
VBN VCN
h = np 1,
+ _
When p = 12, h = …11,13,…23,25…
Average DC Bus voltage (1.414 x VRMS less ripple)
30º
Current
1 3 5 7 9 11 2 4 6 8 10 12
Δ Y
Δ
30o PHASE-SHIFTED THREE WINDING TRANSFORMER
DUAL RECTIFIERS
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Multi-pulse VSD: 18-Pulse Rectifier
h = np 1,
+ _
When p = 18, h = …17,19,…35,37…
© 2013 Mirus International | All Rights Reserved
• Performance drops off significantly with: – Lighter loading – Voltage imbalance – Background voltage
distortion • Requires relatively large
transformers – Increases footprint – Increases losses
• Requires relatively large line reactors or DC chokes to achieve reasonable performance
Limitations of Multi-pulse VSD’s
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Operation: • Distorted current is sampled • Fast acting IGBT’s are used
to generate harmonic currents and inject them 180 deg out-of-phase
Pros: • Sized to harmonic content
only • Maintains good performance
at light loads Cons: • Expensive • Introduces higher frequency
harmonics • Susceptible to background
voltage THD • Complexity requires start-up
and regular service by manufacturer
Parallel Active Filter
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Parallel Active Filter Performance: 3 x 800HP DC SCR Drives
Current waveform and spectrum with active filter, THDi = 3.6%
Current waveform and spectrum without active filter, THDi = 34% Voltage Distortion
(THDv) dropped from 11.2% to 3.7%
2 .0 0 0
4 .0 0 0
6 .0 0 0
8 .0 0 0
1 0 .0 0
%
1 6 :3 0 :0 0 .0 0 01 4 /0 7 /2 0 0 6
1 6 :5 1 :2 0 .0 0 01 4 /0 7 /2 0 0 6
4 Min /Div2 1 :2 0 .0 0 0 (M:S )
2 .0 0 0
4 .0 0 0
6 .0 0 0
8 .0 0 0
1 0 .0 0
%
1 6 :3 0 :0 0 .0 0 01 4 /0 7 /2 0 0 6
1 6 :5 1 :2 0 .0 0 01 4 /0 7 /2 0 0 6
4 Min /Div2 1 :2 0 .0 0 0 (M:S )
without with without
© 2013 Mirus International | All Rights Reserved
Challenge: • Solar Panel and Inverter Mfr
was having 48 Vdc power supply failures in a Photovoltaic Panel Tester
• These failures began to occur after a 450A AHF was installed on a Solar Inverter Test line
Active Harmonic Filter Installation – Solar Inverter Mfr
Parallel Active Harmonic Filter (AHF) was used to cancel harmonic currents generated by the rectifiers on a Solar Inverter Test line
© 2013 Mirus International | All Rights Reserved
Challenge: • Harmonics from operation
of the AHF IGBT’s was causing a high frequency ripple on the supply voltage
• 48 Vdc power supply resonated near the 41st harmonic causing it to overheat and fail immediately after startup
Active Harmonic Filter Installation – Solar Inverter Mfr
Voltage waveform – VTHD <1%
PS Current waveform at no load PS Current spectrum at no load
© 2013 Mirus International | All Rights Reserved
Solution: • Turn off AHF
Active Harmonic Filter Installation – Solar Inverter Mfr
Voltage waveform – No high freq. ripple
PS Current waveform at no load PS Current spectrum at no load
© 2013 Mirus International | All Rights Reserved
Operation: • 6-pulse diode bridge rectifier is
replaced by a fully controlled IGBT bridge
Pros: • Can achieve lowest ITHD but
only when measured at harmonics lower than 50th
• Can provide regenerative braking
Cons: • Expensive • Introduces higher order
harmonics • Higher EMI radiation • Much higher losses • Very complex requiring start-up
and service by manufacturer
VSD with Active Front-end (AFE)
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VSD with Active Front-end (cont.)
Typical current waveform
of AFE Drive
Higher order voltage and current harmonics
introduced by AFE
© 2013 Mirus International | All Rights Reserved
Wide Spectrum Harmonic Filter Internal Connection Diagram
Multiple windings on a common core
(Patented Design)
Input tuned below 5th to prevent importation of
upstream harmonics
High impedance L1 winding
Compensating winding L2 lowers through
impedance reducing voltage drop
Unique reactor design allows for smaller cap bank to reduce voltage boost and reactive power at no load
Output tuned near 7th to remove load side
harmonics
© 2013 Mirus International | All Rights Reserved
WSHF Performance on 150 HP PWM VSD
Load w/o With w/o With w/o With w/o With w/o With w/o With w/o With w/o With w/o WithFull 233 168 118 9.0 80 0.6 12 2.2 12 1.5 79% 6.2% 79% 6.2% 15 1.5 - .75 1.0075% 187 130 96 7.7 70 0.6 15 1.5 7 1.4 86% 7.0% 65% 5.3% 17 1.6 - .73 + .9950% 134 89 69 6.9 54 0.3 17 1.2 5 1.0 95% 9.0% 48% 4.5% 20 2.0 - .69 + .9525% 67 46 33 4.2 29 0.2 14 0.8 9 1.0 120% 11% 30% 2.8% 29 2.5 - .58 + .83
RMS 5th 7th K-factor PFCurrent Harmonics (Amps)
11th 13th Ithd Itdd
Without Harmonic Treatment With LINEATOR Input Current
050
100150200
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Harmonic #
Amps
Ithd = 79%
Input Current
050
100150200
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Harmonic #
Amps
Ithd = 6.2% Input Voltage
0%
5%
10%
3 4 5 6 7 8 9 10 11 12 13 14 15Harmonic #
% fu
nd
Vthd = 5.4%
Input Voltage
0%
5%
10%
3 4 5 6 7 8 9 10 11 12 13 14 15Harmonic #
% fu
nd
Vthd = 0.6%
© 2013 Mirus International | All Rights Reserved
WSHF vs 18-P with Voltage Imbalance
ITHD Comparison (18-Pulse vs Lineator)
0
20
40
60
80
100
0 20 40 60 80 100
% Load%
ITH
D
Lineator (balanced) 18-Pulse (balanced)Lineator (2% imbalance) 18-Pulse (2% imbalance)
ITHD Comparison (18-Pulse vs Lineator)
0
10
20
30
40
50
0 20 40 60 80 100
% Load
% IT
HD
Lineator (balanced) 18-Pulse (balanced)Lineator (1% imbalance) 18-Pulse (1% imbalance)
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WSHF vs 18-P with High Background Voltage Distortion
Lineator Performance with Background Voltage Distortion
0
5
10
15
20
25
30
0 1 2 3 4 5
% VTHD Background
% IT
HD
Lineator (50% Load) Lineator (100% Load)
18-Pulse Performance with Background Voltage Distortion
0
5
10
15
20
25
30
0 1 2 3 4 5
% VTHD Background
% IT
HD
18-Pulse (50% Load) 18-Pulse (100% Load)
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Efficiency Comparison: 18-P vs WSHF/6-P
System Efficiency Comparison (18-Pulse vs Lineator)
60
70
80
90
100
0 20 40 60 80 100
% Load
% E
ffici
ency
_
Lineator 18-Pulse
When compared to an 18-P VSD, a 400HP Lineator/6-P system will save more than $3,000 in annual operating costs when averaging 75% loading at $0.07 / kwhr.
Efficiency using Lineator is
2% to 3% better
© 2013 Mirus International | All Rights Reserved
Challenge: • 4 x 350HP VSD’s used to
achieve required wind speeds • Local Utility required evidence
that IEEE Std 519 harmonic limits would be met
• Energy savings also considered to be very important
IEEE Std 519 - SkyVenture Free-fall Simulator Wind tunnel powered by large blowers provides novice and expert thrill-seekers the experience of free-fall
Solution: • Computer simulation was used to
demonstrate: – Line reactors alone would not
meet limits – Passive harmonic filter would
meet limits – Significant energy savings when
compared to 18-Pulse
Private and Confidential | Mirus International
SkyVenture Free-fall Simulator - Montreal
Computer Simulation with AC Line Reactors
Private and Confidential | Mirus International
SkyVenture Free-fall Simulator - Montreal
Computer Simulation with Passive Harmonic Filter
Private and Confidential | Mirus International
SkyVenture Free-fall Simulator - Montreal
Energy Savings Analysis: 18-Pulse VSD vs
Passive Harmonic Filter
• Operating Conditions: – 10 hrs/day, 364 days/yr – 80% load – $0.06 / kWhr
• Estimated energy savings at Utility Supply: – 47,334 kWhr/yr – $2,840 /yr
18-P PHF
Private and Confidential | Mirus International
SkyVenture Free-fall Simulator - Orlando
Energy Savings Analysis – 18-Pulse VSD vs Passive Harmonic Filter
DRIVE A FAN
6-Pulse + LINEATOR
Hz RPM kW SAVINGS
55 818 143.27 9.2 KW
60 891 183.41 6.6 KW
DRIVE B FAN 18-Pulse
Hz RPM kW
55.92 818 152.47
60 889 190.03
250 HP MOTOR
6-PULSE VSD + LINEATOR
18-PULSE VSD
FAN
480 Volt, 3 Phase, 60 Hz Supply
Private and Confidential | Mirus International
SkyVenture Free-fall Simulator - Orlando Energy Savings Analysis – 18-Pulse VSD vs Passive Harmonic Filter
DRIVE A FAN
6-Pulse + LINEATOR
Hz RPM kW
55 818 143.27
60 891 183.41
DRIVE B FAN 18-Pulse
Hz RPM kW
55.92 818 152.47
60 889 190.03
250 HP MOTOR
6-PULSE VSD + LINEATOR
18-PULSE VSD
FAN
480 Volt, 3 Phase, 60 Hz Supply KW SAVED WITH 6-PULSE VFD + LINEATOR 60 HZ 55 HZ 6.62 KW 9.2 KW
6-PULSE DRIVE + LINEATOR saved 3.5% to 6% of energy needed to run fan
SAVINGS 9.2 KW 6.6 KW
© 2013 Mirus International | All Rights Reserved
Protection Against Line Side Transients
LINEATOR
AUHF
INPUT OUTPUT
Figure 2: Voltage waveform at input to harmonic filter
Figure 3: Voltage waveform at output of harmonic filter supplying AC Drive
Voltage Notching Caused by DC Drives on Off-shore Oil Platform
Notches Dramatically reduced on Output of Lineator AUHF
© 2013 Mirus International | All Rights Reserved
Challenge: • Voltage distortion,
particularly deep notches, were causing frequent failures of centrifuge equipment
• Voltage distortion > 20%
Preventing Centrifuge Failures on a Drilling Rig
Solution: • Transformer supplying the
centrifuge equipment was replaced with a combined transformer/harmonic filter
• Voltage distortion reduced to < 8%
• All equipment failures ceased
Drilling Rig in N. Alberta experiencing routine failures in centrifuge equipment used on the Rig
Private and Confidential | Mirus International
Summary Various Forms of Harmonic Mitigation • Combining a low zero sequence path with phase shifting
can be a very effective method of treating 3rd and other harmonics from 1-ph non-linear loads
• Selection of the right harmonic treatment for VSD’s is critical to ensuring that the problem is effectively resolved without introducing other issues
• Wide Spectrum Harmonic Filter has many benefits including: – better performance under real world conditions – higher efficiency – simpler and more reliable – lower cost
© 2013 Mirus International | All Rights Reserved
Computer Simulation for VSD Harmonic Analysis
© 2013 Mirus International | All Rights Reserved
SOLV Computer Simulation Software
• Calculates current and voltage distortion levels by simulating Variable Speed Drive (VSD) applications with and without harmonic mitigation (Lineator AUHF)
• Comparison to IEEE Std519 harmonic limits
• Performs energy savings analysis
• Allows for voltage imbalance and background voltage distortion
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Computer Simulation – with Reactor
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Computer Simulation – with AUHF
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Computer Simulation – with 18P
© 2013 Mirus International | All Rights Reserved
Computer Simulation – with Reactor
© 2013 Mirus International | All Rights Reserved
Computer Simulation – with AUHF
© 2013 Mirus International | All Rights Reserved
Computer Simulation – with 18P
© 2013 Mirus International | All Rights Reserved
Computer Simulation with
Reactor
© 2013 Mirus International | All Rights Reserved
Computer Simulation with
AUHF
© 2013 Mirus International | All Rights Reserved
Computer Simulation with
18P
© 2013 Mirus International | All Rights Reserved
Questions?