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Harmonic Domain Periodic Steady-State Modeling of Power Electronics Apparatus: SVC and TCSC Lima, L.; Semlyen, A.; Iravani, R.M. Author Affiliation: University of Toronto; Universidade Federal Fluminense. Abstract: This paper presents a general model for the representa- tion of a thyristor-controlled reactor (TCR) in frequency domain. The model undelines the implementation of a Newton-Raphson procedure to determine the periodic steady state of the power system with fast convergence and high accuracy. The TCR model is used as a building block to represent more sophisticated power electronics apparatus, such as the static var compensator (SVC) and the thyristor-controlled series capacitor (TCSC). Keywords: Power electronics, switched systems, thyristor circuits, power system harmonics, harmonic analysis, nonlinear systems. Preprint Order Number: PE-269PRD (09-2002) Discussion Deadline: February 2003 A Systematical Method for Suppressing Ferroresonance at Neutral-Grounded Substations Li, Y; Qin, R.; Yang, J.; Shi, W Author Affiliation: Jinyuan Power Plant; Xian Jiaotong University. Abstract: At neutral-grounded substations, ferroresonance may happen upon switching a circuit breaker or disconnector due to the sat- urated magnetizing characteristics of the bus PT. A systematical method is presented to analyze and suppress the phenomenon. The scheme for suppressing the ferroresonance is to insert resistance, made from parallel-connected resistors, into the PT's wye secondary circuit. For a particular substation, it is first studied theoretically whether ferroresonance can possibly happen; and, if so, a theoretical critical re- sistance is estimated to avoid the resonance. A practical one is then achieved by EMTP simulation on the basis of the theoretical one. The scheme for switching these resistors out of the circuit is to not do it all at once but rather in turn to avoid exciting ferroresonance again. The ap- propriate resistance value of the resistors and the schedule of switching them out are also determined by EMTP simulation. A prototype was developed to fulfill the scheme and proved to be effective by field tests. In addition, it is demonstrated that this kind of ferroresonance cannot be suppressed by adding resistance to the PT's delta secondary circuit. Keywords: Circuit breaker, electromagnetic transient, EMTP, ferroresonance, potential transformer, substation. Preprint Order Number: PE-388PRD (09-2002) Discussion Deadline: February 2003 A New High-Pulse Voltage-Sourced Converter for HVDC Transmission Liu, Y; Arrillaga, J.; Watson, N.R. Author Affiliation: University of Canterbury. Abstract: The proposed converter is based on the reinjection of a series of dc voltage pulses, at a frequency multiple of the fundamental, that shape the output voltage waveforms into a multilevel scheme. The reinjection ratio and frequency are chosen to convert the standard 12-pulse into 36-pulse configuration without the assistance of filters or PWM. Thus the switching losses are greatly reduced. The harmonic current injection can be kept within present standards by an appropriate choice of the interface transformer leakage reactance. Keywords: dc voltage pulse reinjection, harmonic elimination, volt- age source converters, multi-level waveforms, HVDC transmission. Preprint Order Number: PE-019PRD (09-2002) Discussion Deadline: February 2003 Frequency Response Characteristics of the Unifled Power Flow Controller Papic, I.; Gole, A.M. Author Affiliation: University of Ljubljana; University of Manitoba. Abstract: The frequency response characteristics of the unified power flow controller (UPFC) are derived using a state variable formu- lation. These characteristics are shown to be functions of the UPFC pa- rameters as well as of the operating point. The method is used to identify operating points that cause resonance problems. The analytical formulation is validated using an electromagnetic transients simulation tool. In addition, the influence of the UPFC's control system on the fre- quency response characteristic is investigated using a frequency scan- ning procedure coupled with a time domain simulation. Keywords: FACTS, UPFC, frequency dependent model, frequency response, frequency scanning. Preprint Order Number: PE-020PRD (09-2002) Discussion Deadline: February 2003 SVC Dynamic Analytical Model Jovcic, D. Author Affiliation: University of Ulster. Abstract: This paper presents a linear state-space model of a static var compensator (SVC). The model consists of three individual subsys- tem models: an ac system, an SVC model, and a controller model, linked together through d-q transformation. The issue of nonlinear susceptance-voltage term and coupling with a static frame of reference is resolved using an artificial rotating susceptance and linearizing its dependence on firing angle. The model is implemented in MATLAB and verified against PSCAD/EMTDC in the time and frequency do- mains. The verification demonstrates very good system gain accuracy in a wide frequency rangef <150 Hz, whereas the phase angle shows somewhat inferior matching above 25 Hz. It is concluded that the model is sufficiently accurate for many control design applications and practical stability issues. The model's use is demonstrated by analyzing the dynamic influence of the PLL gains, where the eigenvalue move- ment shows that reductions in gains deteriorate system stability. Keywords: Modeling, power system dynamic stability, state space methods, static var compensators, thyristor converters. Preprint Order Number: PE-13 1PRD (09-2002) Discussion Deadline: February 2003 A Digital Fault-Location Algorithm Taking into Account the Imaginary Part of the Grounding Impedance at the Fault Place Popovic, L.M. Author Affiliation: JP Elektroprivreda Srbije. Abstract: This paper presents a new digital fault location algorithm developed for the determination of the location of the transmission line faults. The calculations for the estimation of the fault location are per- formed using one-terminal voltage and current data of the transmission line. The development of the algorithm is based on the detailed consid- eration of all the return paths (ground wire, towers, and substation grounding electrodes) of the ground fault current to its sources (the power system). The algorithm takes into account all of the factors im- portant for the accuracy of the estimation, i.e., fault impedance, fault current component supplied from the opposite end of the line, and the prefault current. The imaginary part of the fault impedance is not ig- nored as is the case with the previously published methods. The pro- posed algorithm was tested using simulated current data. Sample test results are included. Keywords: Transmission line, fault location, fault impedance. Preprint Order Number: PE-169PRD (09-2002) Discussion Deadline: February 2003 IEEE Power Engineering Review, December 2002 65

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  • Harmonic Domain Periodic Steady-State Modelingof Power Electronics Apparatus: SVC and TCSC

    Lima, L.; Semlyen, A.; Iravani, R.M.

    Author Affiliation: University of Toronto; Universidade FederalFluminense.

    Abstract: This paper presents a general model for the representa-tion of a thyristor-controlled reactor (TCR) in frequency domain. Themodel undelines the implementation of a Newton-Raphson procedureto determine the periodic steady state of the power system with fastconvergence and high accuracy. The TCR model is used as a buildingblock to represent more sophisticated power electronics apparatus,such as the static var compensator (SVC) and the thyristor-controlledseries capacitor (TCSC).

    Keywords: Power electronics, switched systems, thyristor circuits,power system harmonics, harmonic analysis, nonlinear systems.

    Preprint Order Number: PE-269PRD (09-2002)Discussion Deadline: February 2003

    A Systematical Method for SuppressingFerroresonance at Neutral-Grounded Substations

    Li, Y; Qin, R.; Yang, J.; Shi, W

    Author Affiliation: Jinyuan Power Plant; Xian Jiaotong University.Abstract: At neutral-grounded substations, ferroresonance may

    happen upon switching a circuit breaker or disconnector due to the sat-urated magnetizing characteristics of the bus PT. A systematicalmethod is presented to analyze and suppress the phenomenon. Thescheme for suppressing the ferroresonance is to insert resistance, madefrom parallel-connected resistors, into the PT's wye secondary circuit.For a particular substation, it is first studied theoretically whetherferroresonance can possibly happen; and, if so, a theoretical critical re-sistance is estimated to avoid the resonance. A practical one is thenachieved by EMTP simulation on the basis of the theoretical one. Thescheme for switching these resistors out of the circuit is to not do it all atonce but rather in turn to avoid exciting ferroresonance again. The ap-propriate resistance value of the resistors and the schedule of switchingthem out are also determined by EMTP simulation. A prototype wasdeveloped to fulfill the scheme and proved to be effective by field tests.In addition, it is demonstrated that this kind of ferroresonance cannotbe suppressed by adding resistance to the PT's delta secondary circuit.

    Keywords: Circuit breaker, electromagnetic transient, EMTP,ferroresonance, potential transformer, substation.

    Preprint Order Number: PE-388PRD (09-2002)Discussion Deadline: February 2003

    A New High-Pulse Voltage-SourcedConverter for HVDC Transmission

    Liu, Y; Arrillaga, J.; Watson, N.R.

    Author Affiliation: University of Canterbury.Abstract: The proposed converter is based on the reinjection of a

    series of dc voltage pulses, at a frequency multiple of the fundamental,that shape the output voltage waveforms into a multilevel scheme. Thereinjection ratio and frequency are chosen to convert the standard12-pulse into 36-pulse configuration without the assistance of filters orPWM. Thus the switching losses are greatly reduced. The harmoniccurrent injection can be kept within present standards by an appropriatechoice of the interface transformer leakage reactance.

    Keywords: dc voltage pulse reinjection, harmonic elimination, volt-age source converters, multi-level waveforms, HVDC transmission.

    Preprint Order Number: PE-019PRD (09-2002)Discussion Deadline: February 2003

    Frequency Response Characteristicsof the Unifled Power Flow Controller

    Papic, I.; Gole, A.M.

    Author Affiliation: University ofLjubljana; University ofManitoba.Abstract: The frequency response characteristics of the unified

    power flow controller (UPFC) are derived using a state variable formu-lation. These characteristics are shown to be functions of the UPFC pa-rameters as well as of the operating point. The method is used toidentify operating points that cause resonance problems. The analyticalformulation is validated using an electromagnetic transients simulationtool. In addition, the influence of the UPFC's control system on the fre-quency response characteristic is investigated using a frequency scan-ning procedure coupled with a time domain simulation.

    Keywords: FACTS, UPFC, frequency dependent model, frequencyresponse, frequency scanning.

    Preprint Order Number: PE-020PRD (09-2002)Discussion Deadline: February 2003

    SVC Dynamic Analytical ModelJovcic, D.

    Author Affiliation: University of Ulster.Abstract: This paper presents a linear state-space model of a static

    var compensator (SVC). The model consists of three individual subsys-tem models: an ac system, an SVC model, and a controller model,linked together through d-q transformation. The issue of nonlinearsusceptance-voltage term and coupling with a static frame of referenceis resolved using an artificial rotating susceptance and linearizing itsdependence on firing angle. The model is implemented in MATLABand verified against PSCAD/EMTDC in the time and frequency do-mains. The verification demonstrates very good system gain accuracyin a wide frequency rangef