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    Potential Underfrequency Load

    Shedding Schemes for the Slovenian

    Power System

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    Introduction

    Power system underfrequency protection

    High importance

    last resort tool Active power imbalance frequency deviation

    Power system islands

    pui,el,pui,mech,pui,el,id

    d2 TT

    tH

    INERTIA FREQUENCY

    CHANGE

    ACCELERATION

    TORQUE

    ( ACTIVE POWER

    IMBALANCE)

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    Target performance

    Simple (importance)

    Fast (automation) Highly reliable (local Vs. global issue)

    Highly effective (automation)

    Disconnect as less load as possible

    Compromises are required

    Frequency is a global system parameter

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    Current situation

    Traditional scheme

    Simplest kind of UFLS protection Fixed amounts at fixed frequency thresholds

    Under/over shedding might occur

    Frequency Amount of

    Threshold[Hz] disconnected load[%] Comment49.0 10 % Disconnection of 10 % of the total system load

    48.8 15 % Disconnection of additional 15 % of the total system load

    48.4 15 % Disconnection of additional 15 % of the total system load48.0 15 % Disconnection of additional 15 % of the total system load

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    Space for improvement

    Adaptive approach more sophisticated

    Follows seriousness of the disturbance Frequency global parameter

    COI calculation required

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    Center of Inertia - COI

    Average frequency of the system

    Avoid oscillations

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    a) deficit calculation

    Swing equation

    Measurements at t = 0+ Load voltage dependence

    Voltage characteristics vary

    Strongly dependent on a single calculation

    Questionable effectiveness

    Usefull: increased implementation of

    microcontroller based relays

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    b) predictive approach

    No deficit calculation

    Predicting the lowest frequency value How to predict the frequency?

    0.00 1.25 2.50 3.75 5.00

    Time [sec]

    f[Hz]

    50.0

    51.0

    49.0

    48.0

    47.0

    46.0

    45.0

    frequencyf fMIN,forecast

    FREQUENCYFORECAST

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    Predictive approach No. 1

    Source: COI frequency second time derivative

    0 2 4 6 8

    49.0

    50.0

    51.0

    -1

    0

    1

    d2f/dt2 [Hz/s2]

    f[Hz]

    Time [sec]

    48.0

    PDEF = 20 MW, QDEF = 20 Mvar

    PDEF = 40 MW, QDEF = 40 Mvar

    PDEF = 60 MW, QDEF = 60 MvarPDEF = 80 MW, QDEF = 80 Mvar

    47.0

    46.0

    45.0

    44.0

    43.0

    42.0

    Acceleration of the

    frequency

    Approximation andnumerical

    integration

    Iterative procedure!

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    Predictive approach No. 2

    Upgrade

    Improvements: First time derivative

    No iterative procedure

    Locus diagram f

    df/dt Idea:

    Part of a spiral similar

    to an ellipsex

    y

    T1(a,0)

    T2(0, b)

    T4(0, -b)

    T3(-a,0)

    TC(xTC, yTC)

    fCOI [Hz]51

    dfCOI/dt[Hz/s]

    0.6

    1.8

    -0.6

    -1.8

    494745

    STEADY

    STATE

    STEADY STATE AFTER

    PRIMARY FREQUENCY

    CONTROL ACTIVATION

    PERMANENT

    DROOP

    MAXIMAL (INITIAL)

    FREQUENCY FTD

    THE LOWEST VALUE,

    ACHIEVED BY THE

    FREQUENCY

    a b

    a)

    b)

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    Test results

    IEEE 9 bus test system

    10.0

    16.0

    25.025.0 25.0

    40.0

    40.0 40.0

    46.0

    55.055.0 55.0

    5.5

    11.8

    19.5

    24.2

    30.3

    36.0

    42.7

    47.0

    6.4

    15.9

    25.8

    29.9

    36.6

    41.2

    47.353.3

    0

    10

    20

    30

    40

    50

    60

    70

    20 30 40 50 60 70 80 90

    Totalloadsheddingamount[%]

    Active power deficit [%]

    Traditional UFLS scheme

    Theoretically optimal UFLS scheme

    Predictive UFLS scheme (2)

    Predictive UFLS scheme (1)

    C l i

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    Conclusions

    A lot of space available for improvement

    Advance in computer and communicationtechnology

    Typical adaptive schemes NO!

    Predictive adaptive schemes

    ACTUALPOSSIBILITY!

    COI calculation unavoidable