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2016 | OriginalPaper | Chapter

10. Free-Weighting Matrix Method for Delay Compensation of Wide-Area Signals

Authors : Yong Li, Dechang Yang, Fang Liu, Yijia Cao, Christian Rehtanz

Published in: Interconnected Power Systems

Publisher: Springer Berlin Heidelberg

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Abstract

In this chapter, in order to improve the power system damping and robustness for the FACTS device, a free-weighting matrices (FWMs) approach-based Lyapunov functional stability theory is proposed to design the FACTS-WADC, which can consider efficiently the effect of signal delay on the control performance. The FWMs approach will be described and the detailed nonlinear simulations on two typical test systems will be performed to evaluate the performance of the proposed SVC-type FACTS-WADC.

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Literature
1.
go back to reference Wu HX, Tsakalis KS, Heydt GT (2004) Evaluation of time delay effects to wide-area power system stabilizer design. IEEE Trans Power Syst 19(4):1935–1941CrossRef Wu HX, Tsakalis KS, Heydt GT (2004) Evaluation of time delay effects to wide-area power system stabilizer design. IEEE Trans Power Syst 19(4):1935–1941CrossRef
2.
go back to reference Stahlhut JW, Browne TJ, Heydt GT, Vittal V (2008) Latency viewed as a stochastic process and its impact on wide area power system control signals. IEEE Trans Power Syst 23(1):84–91CrossRef Stahlhut JW, Browne TJ, Heydt GT, Vittal V (2008) Latency viewed as a stochastic process and its impact on wide area power system control signals. IEEE Trans Power Syst 23(1):84–91CrossRef
3.
go back to reference Dotta D, Silva AS, Decker IC (2009) Wide-area measurement-based two-level control design considering signals transmission delay. IEEE Trans Power Syst 24(1):208–216 Dotta D, Silva AS, Decker IC (2009) Wide-area measurement-based two-level control design considering signals transmission delay. IEEE Trans Power Syst 24(1):208–216
4.
go back to reference Majumder R, Pal BC, Dufour C, Korba P (2006) Design and real-time implementation of robust FACTS controller for damping inter-area oscillation. IEEE Trans Power Syst 21(2):809–816CrossRef Majumder R, Pal BC, Dufour C, Korba P (2006) Design and real-time implementation of robust FACTS controller for damping inter-area oscillation. IEEE Trans Power Syst 21(2):809–816CrossRef
5.
go back to reference Majumder R, Chaudhuri B, Pal BC (2005) A probabilistic approach to model-based adaptive control for damping of interarea oscillations. IEEE Trans Power Syst 20(1):367–374CrossRef Majumder R, Chaudhuri B, Pal BC (2005) A probabilistic approach to model-based adaptive control for damping of interarea oscillations. IEEE Trans Power Syst 20(1):367–374CrossRef
6.
go back to reference Chaudhuri B, Pal BC (2004) Robust damping of multiple swing modes employing global stabilizing signals with a TCSC. IEEE Trans Power Syst 19(1):499–506MathSciNetCrossRef Chaudhuri B, Pal BC (2004) Robust damping of multiple swing modes employing global stabilizing signals with a TCSC. IEEE Trans Power Syst 19(1):499–506MathSciNetCrossRef
7.
go back to reference Chaudhuri NR, Ray S, Majumder R, Chaudhuri B (2010) A new approach to continuous latency compensation with adaptive phasor power oscillation damping controller (POD). IEEE Trans Power Syst 25(2):939–946CrossRef Chaudhuri NR, Ray S, Majumder R, Chaudhuri B (2010) A new approach to continuous latency compensation with adaptive phasor power oscillation damping controller (POD). IEEE Trans Power Syst 25(2):939–946CrossRef
8.
go back to reference Xie XR, Xin YZ, Xiao JY, Wu JT, Han YD (2006) WAMS applications in Chinese power systems. IEEE Power Energy Mag 4(1):54–63CrossRef Xie XR, Xin YZ, Xiao JY, Wu JT, Han YD (2006) WAMS applications in Chinese power systems. IEEE Power Energy Mag 4(1):54–63CrossRef
9.
go back to reference Kamwa I, Grondin R, Hebert Y (2001) Wide-area measurement based stabilizing control of large power systems-a decentralized/hierarchical approach. IEEE Trans Power Syst 16(1):136–153CrossRef Kamwa I, Grondin R, Hebert Y (2001) Wide-area measurement based stabilizing control of large power systems-a decentralized/hierarchical approach. IEEE Trans Power Syst 16(1):136–153CrossRef
10.
go back to reference He J, Lu C, Jin X, Li P (2008) Analysis of time delay effects on wide area damping control. In: IEEE Asia Pacific conference on circuits and systems He J, Lu C, Jin X, Li P (2008) Analysis of time delay effects on wide area damping control. In: IEEE Asia Pacific conference on circuits and systems
11.
go back to reference Savelli DC, Pellanda PC, Martins N, Macedo NJP, Barbosa AA, Luz GS (2007) Robust signals for the TCSC oscillation damping controllers of the Brazilian north–south interconnection considering multiple power flow scenarios and external disturbances. In: IEEE power engineering society general meeting Savelli DC, Pellanda PC, Martins N, Macedo NJP, Barbosa AA, Luz GS (2007) Robust signals for the TCSC oscillation damping controllers of the Brazilian north–south interconnection considering multiple power flow scenarios and external disturbances. In: IEEE power engineering society general meeting
12.
go back to reference Grunbaum R, de Grijp M, Moshi V (2009) Enabling long distance AC power transmission by means of FACTS. AFRICON, Sept 2009 Grunbaum R, de Grijp M, Moshi V (2009) Enabling long distance AC power transmission by means of FACTS. AFRICON, Sept 2009
13.
go back to reference Chaudhuri NR, Ray S, Majumder R, Chaudhuri B (2009) A case study on challenges for robust wide-area phasor POD. In: IEEE power & energy society general meeting Chaudhuri NR, Ray S, Majumder R, Chaudhuri B (2009) A case study on challenges for robust wide-area phasor POD. In: IEEE power & energy society general meeting
14.
go back to reference Korba P, Larsson M, Chaudhuri B, Pal B, Majumder R, Sadikovic R, Andersson G (2007) Towards real-time implementation of adaptive damping controllers for FACTS devices. In: IEEE power engineering society general meeting Korba P, Larsson M, Chaudhuri B, Pal B, Majumder R, Sadikovic R, Andersson G (2007) Towards real-time implementation of adaptive damping controllers for FACTS devices. In: IEEE power engineering society general meeting
15.
go back to reference Zarghami M, Crow ML, Jagannathan S (2010) Nonlinear control of FACTS controllers for damping interarea oscillations in power systems. IEEE Trans Power Deliv 25(4):3113–3121CrossRef Zarghami M, Crow ML, Jagannathan S (2010) Nonlinear control of FACTS controllers for damping interarea oscillations in power systems. IEEE Trans Power Deliv 25(4):3113–3121CrossRef
16.
go back to reference Gu K (1997) Discretized LMI set in the stability problem for linear uncertain time-delay systems. Int J Control 68(4):923–934MATHCrossRef Gu K (1997) Discretized LMI set in the stability problem for linear uncertain time-delay systems. Int J Control 68(4):923–934MATHCrossRef
17.
go back to reference Gu K (1999) A generalized discretization scheme of Lyapunov functional in the stability problem of linear uncertain time-delay systems. Int J Robust Nonlinear Control 9(1):1–4MATHCrossRef Gu K (1999) A generalized discretization scheme of Lyapunov functional in the stability problem of linear uncertain time-delay systems. Int J Robust Nonlinear Control 9(1):1–4MATHCrossRef
18.
go back to reference Gu K (2001) A further refinement of discretized Lyapunov functional method for the stability of time-delay systems. Int J Control 74(10):967–976MATHCrossRef Gu K (2001) A further refinement of discretized Lyapunov functional method for the stability of time-delay systems. Int J Control 74(10):967–976MATHCrossRef
19.
go back to reference Fridman E, Shaked U (2003) Delay-dependent stability and H∞ control: constant and time-varying delays. Int J Control 76(1):48–60MATHMathSciNetCrossRef Fridman E, Shaked U (2003) Delay-dependent stability and H control: constant and time-varying delays. Int J Control 76(1):48–60MATHMathSciNetCrossRef
21.
go back to reference Gao H, Wang C (2003) Comments and further results on ‘a descriptor system approach to H1 control of linear time-delay systems’. IEEE Trans Autom Control 48(3):520–525 Gao H, Wang C (2003) Comments and further results on ‘a descriptor system approach to H1 control of linear time-delay systems’. IEEE Trans Autom Control 48(3):520–525
22.
go back to reference Han QL (2003) Stability criteria for a class of linear neutral systems with time-varying discrete and distributed delays. IMA J Math Control Inf 20(4):371–386 Han QL (2003) Stability criteria for a class of linear neutral systems with time-varying discrete and distributed delays. IMA J Math Control Inf 20(4):371–386
23.
go back to reference Liu F, Wu M, He Y, Zhou YC, Yokoyama R (2010) Delay-dependent robust stability analysis for interval neural networks with time-varying delay. IEEJ, accepted, 2010 Liu F, Wu M, He Y, Zhou YC, Yokoyama R (2010) Delay-dependent robust stability analysis for interval neural networks with time-varying delay. IEEJ, accepted, 2010
24.
go back to reference Liu F, Wu M, He Y, Zhou YC, Yokoyama R (2008) New delay-dependent stability criteria for T-S fuzzy systems with a time-varying delay. In: Proceedings of the 17th world congress, the international federation of automatic control. Seoul, Korea Liu F, Wu M, He Y, Zhou YC, Yokoyama R (2008) New delay-dependent stability criteria for T-S fuzzy systems with a time-varying delay. In: Proceedings of the 17th world congress, the international federation of automatic control. Seoul, Korea
25.
go back to reference Liu F, Wu M, He Y, Zhou YC, Yokoyama R (2008). New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay. In: 27th Chinese control conference. Kunming, China Liu F, Wu M, He Y, Zhou YC, Yokoyama R (2008). New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay. In: 27th Chinese control conference. Kunming, China
26.
go back to reference Jiang QY, Zou ZY, Cao YJ (2005) Wide-area TCSC controller design in consideration of feedback signals’ time delays. In: IEEE power engineering society general meeting Jiang QY, Zou ZY, Cao YJ (2005) Wide-area TCSC controller design in consideration of feedback signals’ time delays. In: IEEE power engineering society general meeting
27.
go back to reference Kundur P (1994) Power stability and control. McGraw-Hill, New York Kundur P (1994) Power stability and control. McGraw-Hill, New York
28.
go back to reference Rogers G (1999) Power System oscillations. Kluwer, Norwell Rogers G (1999) Power System oscillations. Kluwer, Norwell
29.
go back to reference Gao H, Lam J, Wang C, Wang Y (2004) Delay-dependent output-feedback stabilization of discrete-time systems with time-varying state delay. IEEE Proc Control Theor Appl 151(6):691–698MathSciNetCrossRef Gao H, Lam J, Wang C, Wang Y (2004) Delay-dependent output-feedback stabilization of discrete-time systems with time-varying state delay. IEEE Proc Control Theor Appl 151(6):691–698MathSciNetCrossRef
30.
go back to reference El Ghaoui L, Oustry F, AitRami M (1997) A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Trans Autom Control 42(8):1171–1176MATHCrossRef El Ghaoui L, Oustry F, AitRami M (1997) A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Trans Autom Control 42(8):1171–1176MATHCrossRef
31.
go back to reference Chilali M, Gahinet P, Apkarian P (1999) Robust pole placement in LMI regions. IEEE Trans Autom Control 44(12):2257–2270 (Chap. 4 references) Chilali M, Gahinet P, Apkarian P (1999) Robust pole placement in LMI regions. IEEE Trans Autom Control 44(12):2257–2270 (Chap. 4 references)
Metadata
Title
Free-Weighting Matrix Method for Delay Compensation of Wide-Area Signals
Authors
Yong Li
Dechang Yang
Fang Liu
Yijia Cao
Christian Rehtanz
Copyright Year
2016
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-48627-6_10