Direct Energy Method of Power System Stability Analysis and its Application by using Energy Conservation Law

에너지보존법칙을 이용한 전력계통 안정도 직접 해석법에서의 응용

  • Published : 1999.10.01

Abstract

Many papers have recently been presented to develop energy functions for power systems. However, earlier studies adopted case-by-case approaches, which failed to give a general approach to deal with various kinds of generator models. In this paper, two useful theorems are developed regarding the integral relationships of the generator power versus its phasor current and voltage. By using the proposed theorems, an exact energy conservation law can be derived from the complex integral. The proposed energy conservation law, which is free of the generator model, can be utilized to develop energy functions for various kinds of generator models including the speed governors and exciters. An illustrative example is given for a multimachine system with the Eq' model of generator. This thesis also shows a possibility of more accurate and fast stability analysis by using the proposed Energy Conservation Law.

Keywords

References

  1. IEEE Trans. Power App. Syst. v.PAS-100 no.1 A Structure Preserving Model for Power System Stability Analysis A. R. Bergen;D. J. Hill
  2. Electric Machines and Power Systems v.13 A Novel Structure Preserving Energy Function for Direct Stability Evaluation of Power Systems with Known Modes of Instability K. R. Padiyar;K. K. Ghosh
  3. International Journal of Electric Energy and Power Systems v.13 Direct stability evaluation of power systems withdetailed generator models using structure preserving energy functions K. R. Padiyar;K. K. Ghosh
  4. Proc. 24th IEEE Conference on Desion & Control Structure Preserving Direct Methods for Transient Stability Analysis Th.Van Cutsem;M.Ribbens-Pavella
  5. IEEE Trans. Power App. Syst. v.PAS-103 no.6 Systematic Inclusion of Stator Transients in Reduced Order Synchronous Machine Models P. W. Sauer;S. Ahmed-Zaid;M. A. Pai
  6. IEEE Trans. on Circuit and Systems v.CAS-32 no.10 A Structure Preserving Energy Function for Power System Transient Stability Analysis N. A. Tsolas;A. Arapostathis;P. P. Varaiya
  7. International Journal of Electric Power and Energy Systems v.8 no.1 A Lyapunov function for multimachine power systems with generator flux decay and voltage dependent loads A. R. Bergen;D. J. Hill;C. L. DeMarco
  8. IEEE Trans. Power App. Syst. v.PAS-98 no.2 A practical method for direct analysis of transient stability T. R.Athay;R. Podmore;S. Virmany
  9. Electric Machines and Power Systems v.15 no.1 A direct method for transient stability analysis of power systems with detailed models P. W. Sauer(at al.)
  10. IEEE Trans. on Power Systems v.4 no.1 Direct transient stability assessment with exitation control A. A. Fouad(at al.)
  11. Proc. of the IASTED International conference Temptive Lyapunov Direct Method to Reflect Speed Governor Effects Y.-H. Moon;T.-H. Roh;E.-H. Lee
  12. IEE Proceedings on Generation, Transmission and Distribution v.144 no.5 Development of an Energy function Reflection the Transfer Conductances for Direct Stability Anaysis in Power Systems Y.H. Moon;E.H. Lee;T.H. Roh
  13. IEEE Trans. Autom. Control. v.AC-18 no.2 On Lyapunov functions for power systems with transfer conductances PAI. M.A.;MURTHY, P.G.
  14. Int. J. Control. Autom. Control. v.AC-18 no.2 A general Lyapunov functions for power systems with transfer conductances GUDARU, U.
  15. IEEE Trans. Autom. Control v.AC-19 no.5 Comment on On Lyapunov function for power systems with transfer conductances HENNER, V.E.
  16. Energy Function Analysis for Power System Stability M. A. Pai
  17. Power System Dynamics and Stability Peter W.Sauer;M.A.Pai
  18. Energy Function Analysis for Power System Stability M.A.Pai
  19. Energy Based Power System Analysis by Using Energy Integral Y.-H. Moon;H.-S. Hong;H.-J. Kuk;J.-G. Lee
  20. 대한전기학회논문지 v.46 no.5 부하전압의존성을 고려한 에너지함수 직접법 안정도 해석 문영현;노태훈;김백;이응혁;최병곤