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    Assignment 3

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    champion2007
    This document contains an assignment for an HVDC and FACT course. It includes 4 practice problems related to modeling and analyzing power systems with thyristor controlled reactors (TCRs) and static var compensators (SVCs). Problem 1 involves calculating various power system parameters given line voltage, frequency, impedance, real power and TCR current rating. Problem 2 examines the impact of changes in real and reactive power load on bus voltage. Problem 3 determines SVC component settings needed to regulate voltage with an increased reactive load. Problem 4 involves deriving an equation for TCR current using Fourier analysis.

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    Assignment 3

    Uploaded by

    champion2007
    246 views2 pages
    This document contains an assignment for an HVDC and FACT course. It includes 4 practice problems related to modeling and analyzing power systems with thyristor controlled reactors (TCRs) and static var compensators (SVCs). Problem 1 involves calculating various power system parameters given line voltage, frequency, impedance, real power and TCR current rating. Problem 2 examines the impact of changes in real and reactive power load on bus voltage. Problem 3 determines SVC component settings needed to regulate voltage with an increased reactive load. Problem 4 involves deriving an equation for TCR current using Fourier analysis.

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    ECE 661 HW

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    This document contains an assignment for an HVDC and FACT course. It includes 4 practice problems related to modeling and analyzing power systems with thyristor controlled reactors (TCRs) and static var compensators (SVCs). Problem 1 involves calculating various power system parameters given line voltage, frequency, impedance, real power and TCR current rating. Problem 2 examines the impact of changes in real and reactive power load on bus voltage. Problem 3 determines SVC component settings needed to regulate voltage with an increased reactive load. Problem 4 involves deriving an equation for TCR current using Fourier analysis.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    246 views2 pages

    Assignment 3

    Uploaded by

    champion2007
    This document contains an assignment for an HVDC and FACT course. It includes 4 practice problems related to modeling and analyzing power systems with thyristor controlled reactors (TCRs) and static var compensators (SVCs). Problem 1 involves calculating various power system parameters given line voltage, frequency, impedance, real power and TCR current rating. Problem 2 examines the impact of changes in real and reactive power load on bus voltage. Problem 3 determines SVC component settings needed to regulate voltage with an increased reactive load. Problem 4 involves deriving an equation for TCR current using Fourier analysis.

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    ECE661

    HVDC and FACT


    Fall 2016
    Assignment #3
    Due Date Novomber 22, 2016
    Problem#1:
    The per phase data for a particular power system with a TCR shunt compensator is as follows:
    V(rms) = 220 V, f = 60 Hz, X = 1.2 , and Pe = 56 kW.
    The maximum current of the TCR is IL(max)= 100 A. Find:
    1. the phase angle ,
    2. the magnitude of the line current (IS=IR=I),
    3. the reactive power QQ of the shunt compensator
    4. the current through the TCR,
    5. the inductance reactance XL, and
    6. the delay angle of the TCR if the IL is 60% of the maximum current.

    Fig. P-1
    Problem#2:
    The nominal line-to-line voltage (Vt) at a bus in a three-phase AC system is 230 kV (rrns) when it is
    supplying a three-phase inductive load of P + jQ = 1500 MW + j750 Mvar.
    The per-phase AC system impedance Zs seen by the bus can be approximated to be purely inductive
    with Zs = j5.0 .
    1. Calculate the percentage change in the bus voltage magnitude for a 10% increase in P.
    2. Calculate the percentage change in the bus voltage magnitude for a 10% increase in Q.
    Vs is assumed to remain constant in both case.

    Fig. P-2

    Problem #3:
    SVC (hybrid arrangement of a TCR and a TSC) is connected at the AC bus (across the load) in problem
    #2. The TCR can draw a maximum of 50 Mvars per phase, whereas the TSC consists of four-capacitor
    banks, each with a per-phase rating of 50 Mvars.
    Holding the AC bus voltage to its nominal value for a 10% increase in Q in Problem#2-b, calculate:
    1. the number of capacitor banks that should be switched in,
    2. the delay angle at which the TCR should operate,
    3. and the per-phase fundamental reactance of the TCR.
    Problem #4:
    Derive the following equation using Fourier analysis

    I L1

    sin
    .Vm
    X L

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