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    Integration of FACTS devices into adynamic power system model:

    Establishing a unifying framework toincrease the dimensions for powerflow regulation

    Thesis Defense Presentation

    Hui-hsuan Ting

    May 2nd, 2006

    Thesis Advisor: Professor Judith Cardell

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    Presentation Overview

    Background

    Project Scope

    Static Var Compensator Case Study Interconnected System Model Simulation

    Potential FACTS models

    Conclusion Reference

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    Simple illustration of the power transmission system Power system structure

    Dynamics of Large Electric Power Systems

    = PGenerator + PLoad + PCompensation

    = QGenerator + QLoad + QCompensation

    Pi

    QiS = P + jQ

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    Apparent Complex Power: S = P + jQ

    Real Power:

    Reactive Power:

    sin

    2

    XVP

    )cos1()2/sin(2

    X

    VIVQ

    V voltage

    X reactancephase angleI current

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    FACTS devices =Flexible Alternating Current Transmission Systemdevices

    Direct control of power flow over designatedtransmission routes

    Fast Control Technology to overcome limitations

    to Power Transfer Capability through rapidresponse

    sin

    2

    X

    VP

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    Project Scope

    Understanding the modeling framework

    Methodology for integration of FACTS in theunified system model

    Case study: Integrating the SVC model

    Potential FACTS device models for integration

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    Modeling Framework Key Players

    Dynamic Generators

    Static Algebraic Transmission System

    Inclusion of FACTS Power Electronic Devices

    G

    lc

    extP

    XX

    Extended State Space Interconnected System Model

    uBXAX extextext

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    Dynamic Generators

    ref

    GG

    lc PgM

    Pt

    Tg

    r

    Tg

    Tu

    kt

    Tu

    PtM

    Pt

    M

    Det

    tPX

    1

    0

    0

    0

    0

    1

    01

    0

    0

    uBPCXAX GMlclclc

    G

    lc

    extP

    XX

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    G

    lc

    extP

    XX

    Static AlgebraicTransmission System

    )]sin()cos([|||| jiijjiijjiG bgVVP

    )]cos()sin([|||| jiijjiijjiG bgVVQ Linearization assuming

    LpGpG

    PDKP

    0

    V

    P0

    f

    Q

    0b0g

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    k

    Gi

    lci

    ext

    b

    P

    X

    XInclusion of FACTS

    power electronic devices

    New Assumptions:

    New Linearized Transmission System Model Equation:

    0b0g

    LpGpG PDKP gL+bN

    pp

    Find dynamic FACTS device models

    that are based on susceptance (b) or conductance (g)

    sin

    2

    X

    VP

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    Case Study: Integrating the Static Var

    Compensator (SVC) model

    ))()((1

    )( tuKBtBT

    tBBBLoL

    B

    L

    )()( tBBtB LCosvc

    SVC dynamic Model

    cTCRSVC BBB

    CL BB

    sin2BTCR

    l

    L

    C

    C

    XB

    X

    B

    1

    1

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    Structure of the 9-bus network

    3 Generators at bus 1, 2, and 3

    9 branches

    36 simulations, 4 for each branch at four different firing angles

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    Generator1-4 3-6 4-5 5-6 8-2 6-7 7-8 8-9 9-4

    1 - - -

    2

    3

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

    gP

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    Potential FACTS Models

    )(

    )()(

    tV

    titB

    Q

    Q

    Q

    ))()((1)( tukitiT

    ti QQQoQQ

    Q STATCOM

    )(

    1)(

    tX

    tB

    ))()((1

    )( 0 tukxtxT

    tx sssss

    s SSC

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    Conclusion

    The unified modeling framework shows the overalleffect of the whole system due to use of FACTSdevices installed locally.

    Control Strategies can be developed by designingthe pattern and timing of the control input signal ofthe dynamic FACTS model, as well as where theFACTS device should be located in thetransmission system.

    Impedance based dynamic FACTS device modelsbest serve the purpose of the unified modelingframework.

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    Acknowledgements

    Professor Judith Cardell

    Professor Timothy Doughty

    Professor Linda Jones Dawn Scaparotti

    Engineering Buddies & The Green Building

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    [1]Brennan, Plamer, Martinez, Timothy J, Karen, Salvador. "Implementing Electricy Restructuring: Policies, Potholes, and Prospects." Resources forthe future (2001):

    [2]Eidson, Brian, Estimation and Hierarchical Control of Market-driven Electric Power Systems, MIT LEES Technical Report, TR95-009, August 1995.[3]"Making electricity." Tennessee Valley Authority kids.com. Tennessee Valley Authority. 03/20/2006

    .[4]Song, Yong Hua, and Allan T Johns. Flexible ac transmission systems (FACTS). London: The institution of electrical Engineers, 1999.[5]Ilic, Marija , and John Zaborszky. Dynamics and Control of Large Electric Power Systems. : John Wiley & Sons, Inc., 2000.[6]Alexander, Charles K. , Matthew N.O Sadiku. Electric Circuits.2nd. Singapore: Mcgraw-Hill, 2004.[7]Crow, Mariesa . Computational Methods for Electric Power Systems. : CRC press, 2003.[8]Shearer, J. Lowen., Kulakowski, Bohdan T., Gardner, John F. Dynamic Modeling and Control of Engineering System. Prentice Hall; 2nd edition ,

    February 11, 1997.[9]Tan, Y.L. Analysis of Line Compensation by Shunt-Connected FACTS Controllers: A Comparison between SVC and STATCOM, IEEE Power

    Engineering Review, August 1999[10]Canizares, Faur, Claudio A, Zeno T. "Analysis of SVC and TCSC Controllers in Voltage Collapse." IEEE Trans. Power Systems 14(1999):[11]Canizares, Claudio A., Pozzi, S.Corsi, M.0 Modeling and Implementation of TCR and VSI Based FACTS Controllers. Enel Ricerca Area

    Trasmissione e Dispacciamento. December 1999.[12]Canizares, Claudio A.,and Kodsi, Sameh KM."IEEE 14 Bus System With FACTS Controllers" Technical Report #2003-3. 2003.[13]Geidl, Martin. Implementation of FACTS and Economic Generation Dispatch in an Interactive Power Flow simulation Platform. ETH Diploma

    thesis PSL0201, March 2003.Reference:Berizzi, Alberto., Delfanti, Maurizio., Pasquadibisceglie, Marco Savino. Enhanced security-constrained OPF with FACTS devices. IEEE

    Transaction on Power Systems, VOL.20, NO.3. August 2005Cardell, Judith., Ilic, Marija. Maintaining Stability with distributed Generation in a Restructured Industry. IEEE PES GM 2004. 2004Ghandhari, Mehrdad., Hiskens, Ian A. Control Lyapunov Functions for Controllable Series Devices. IEEE Transactions on Power systems,VOL16,

    NO4. November, 2001.Hingorani, Narain G. Role of FACTS in a deregulated Market. IEEE Power Engineering Society. 2000Hingorani, Narain G. , and Laszlo Gyugyi. Understanding FACTS: Concepts and Technology of Flexible AC Transmission systems. NJ: IEEE press,

    2000.Ilic, Marija d., Liu, Shell. Hierarchical Power Systems Control: Its Value in a changing Industry. Springer Verlag, 1996.Ilic, Marija., Wu, Felix. Research and Applications on Real-time Control of Power Grids: Past Successes and Future Opportunities. Bulk Power

    Systems Dynamics and Control VI. August, 2004.Lai, Loi Lei. Power System Restructuring and Deregulation. NY: John Wiley & Sons, 2002.

    Myers, Alan. FACTS Overview.IEEE Power Engineering Society 95 TP 108, 1995P. Kundur. Power System Stability and Control. McGraw-Hill, 1994.Padhy, Narayana Prasad. Power flow control and solutions with multiple and multi-type FACTS devices Electric Power Systems Research 74.

    2005Saccomanno, Fabio. Electric Power Systems: Analysis and Control. NJ: John Wiley & Sons, 2003.Sen, Kalyan K. SSSC Static Synchronous Series Compensator: Theory, Modeling, and Applications. IEEE Transactions on Power Delivery,

    VOL13, NO.1. January 1998.Shahidhpour, Mohammad, and Yaoyu Wang. Communication and Control in Electric Power systems. NJ: John wiley & Sons, 2003.Wu, Wei. FACTS Applications in Preventing Loop Flows in Interconnected Systems. IEEE Power Engineering Society General Meeting:

    conference proceedings:13-17. 2003

    Reference

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    0

    500

    1000

    B

    alpha

    0 100 200 300 400 500 600 700 800 900 10000

    50

    100

    alpha

    time

    0 10 20 30 40 50 60 70 80 90 100-500

    0

    500

    1000

    B

    alpha

    0 10 20 30 40 50 60 70 80 90 1000

    50

    100

    alpha

    time

    0 10 20 30 40 50 60 70 80 90 100-500

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    alpha

    0 1 2 3 4 5 6 7 8 9 100

    50

    100

    alpha

    time

    0 10 20 30 40 50 60 70 80 90 100-500

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    500

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    B

    alpha

    0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.10

    50

    100

    alpha

    time

    Tc = 1degree alpha per second,alpha ~ 10 degrees

    Tc =0.1degree alpha persecond, alpha ~ 1 degrees

    Tc = 10degree alpha per second,alpha ~ 80+ degrees

    Tc = 100, exceed

    maximum limit of alpha