Lyapunov-Krasovskii functional based power system stability analysis in environment of WAMS

Abstract

In order to analyze power system stability in environment of WAMS (wide area measurement system), a new steady state stability model with time-varying delay was proposed for power system. The factors of exciter and power system stabilizer with delay were introduced into analytical model. To decrease conservativeness of stability analysis, an improved Lyapunov-Krasovskii functional was constructed, and then a new delay-dependent steady state stability criterion for power system, which overcomes the disadvantages of eigenvalue computation method, was derived. The proposed model and criterion were tested on synchronousmachine infinite-bus power system. The test results demonstrate that Lyapunov-Krasovskii functional based power system stability analysis method is applicable and effective in the analysis of time delay power system stability.

Keywords

power system / steady state stability / time-varying delay / power system stabilizer

References

[1] PhadkeA. G., de MoraesR. M.. The wide world of wide-area measurement [J]. IEEE Power and Energy Magazine, 2008, 6(5): 52-65

[2] HauerJ. F., MittelstadtW. A., MartinK. E., BumsJ. W., LeeH., PierreJ. W., TrudnowskiD. J.. Use of the WECC WAMS in wide-area probing tests for validation of system performance and modeling [J]. IEEE Transactions on Power Systems, 2009, 24(1): 250-257

[3] XieX.-r., XinY.-z., XiaoJ.-y., WuJ.-t., HanY.-dao.. WAMS applications in Chinese power systems [J]. IEEE Power and Energy Magazine, 2006, 4(1): 54-63

[4] KundurP., PaserbaJ., AjjarapuV., AnderssonG.. Definition and classification of power system stability [J]. IEEE Transactions on Power Systems, 2004, 19(3): 1387-1401

[5] HauerA. J. F., TrudnowskiD. J., DesteeseJ. G.. A perspective on WAMS analysis tools for tracking of oscillatory dynamics [C]. IEEE Power and Energy Society General Meeting, 2007, New York, IEEE Power Engineering Society: 1-10

[6] FarH. G., BanakarH., LiP., LuoC. L., OoiB. T.. Damping interarea oscillations by multiple modal selectivity method [J]. IEEE Transactions on Power Systems, 2009, 24(2): 766-775

[7] SeethalekshmiK., SinghS. N., SrivastavaS. C.. WAMS assisted frequency and voltage stability based adaptive load shedding scheme [C]. IEEE Power and Energy Society General Meeting, 2009, New York, IEEE Power Engineering Society: 1-8

[8] LiH., LiW.-guo.. A new method of power system state estimation based on wide-area measurement system [C]. Proceeding of the 4th IEEE Conference on Industrial Electronics and Applications, 2009, New York, IEEE Industrial Electronics Society: 2065-2069

[9] LaS. M., BenedictisM., BrunoS., GrobovoyA., BondarevaN., BorodinaN., DenisovaD., GemondA. J., CherkaouiR.. Development of applications in WAMS and WACS: An international cooperation experience [C]. IEEE Power and Energy Society General Meeting, 2006, New York, IEEE Power Engineering Society: 892-906

[10] WuH. X., TsakalisK. S., HeydtG. T.. Evaluation of time delay effects to wide-area power system stabilizer design [J]. IEEE Transactions on Power Systems, 2004, 19(4): 1935-1941

[11] OkouF., DessaintL. A., AkhrifO.. Power systems stability enhancement using wide-area signals based hierarchical controller [J]. IEEE Transactions on Power Systems, 2005, 20(3): 1465-1477

[12] RayS., VenayagamoorthyG. K.. Real-time implementation of a measurement-based adaptive wide-area control system considering communication delays [J]. IET Generation, Transmission and Distribution, 2008, 2(1): 62-70

[13] DottaD., SilvaA. S., DeckerI. C.. Wide-area measurements-based two-level control design considering signal transmission delay [J]. IEEE Transactions on Power Systems, 2009, 24(1): 208-216

[14] RuedaJ. L., ColomeD. G., ErlichI.. Assessment and enhancement of small signal stability considering uncertainties [J]. IEEE Transactions on Power Systems, 2009, 24(1): 198-207

[15] AboytesF., SanchezF., CabraA. I. M., CastroJ. E. G.. Dynamic stability analysis of the interconnected Colombia-Venezuela power system [J]. IEEE Transactions on Power Systems, 2000, 15(1): 376-381

[16] RommesJ., MartinsN.. Computing large-scale system eigenvalues most sensitive to parameter changes, with applications to power system small-signal stability [J]. IEEE Transactions on Power Systems, 2008, 23(2): 434-442

[17] AzbeV., GabrijelU., PovhD.. The energy function of a general multimachine system with a unified power flow controller [J]. IEEE Transactions on Power Systems, 2005, 20(3): 1478-1485

[18] MarszalekW., TrzaskaZ. W.. Singularity-induced bifurcations in electrical power systems [J]. IEEE Transactions on Power Systems, 2005, 20(1): 312-320

[19] XiaoS.-p., WuM., SheJ.-hua.. Non-fragile delaydependent H_∞ control of linear time-delay system with uncertainties in state and control input [J]. Journal of Central South University of Technology, 2008, 15(5): 712-719

[20] HeY., WuM., SheJ.-h., LiuG.-ping.. Parameterdependent Lyapunov functional for stability of time-delay system with polytopic uncertainties [J]. IEEE Transactions on Automatic Control, 2004, 49(5): 828-832

[21] DuZ.-c., LiuW., FangW.-liang.. Calculation of rightmost eigenvalues in power systems using the Jacobi-Davidson method [J]. IEEE Transactions on Power Systems, 2006, 21(1): 234-239

[22] MaJ., DongZ. Y., ZhangP.. Comparison of BR and QR eigenvalue algorithms for power system small signal stability analysis [J]. IEEE Transactions on Power Systems, 2006, 21(4): 1848-1855

[23] YangD., AjjarapuV.. Critical eigenvalues tracing for power system analysis via continuation of invariant subspaces and projected Arnoldi method [J]. IEEE Transactions on Power Systems, 2007, 22(1): 324-332