Energy-based Approach to Power Transfer System Analysis

  • Moon, Young-Hyun (Dept. of Electrical and Electronic Engineering, Yonsei University) ;
  • Lee, Jong-Gi (Dept. of Electrical and Electronic Engineering, Yonsei University) ;
  • Kwon, Yong-Jun (Dept. of Electrical and Electronic Engineering, Yonsei University)
  • Published : 2004.12.01

Abstract

This paper presents a new theoretical approach to energy-based power system analysis for multibus power transmission systems. On the basis of mechanical analogy, an exact energy integral expression is derived for lossy multi-bus systems through rigorous energy analysis. A simple rigid rod model of mechanical power transfer system is introduced to address the physical meanings of potential energy terms associated with transfer conductances as well as transfer susceptances. Finally, energy-based analysis has been proposed to show that the energy function has all information of the power system characteristics.

Keywords

References

  1. T. R. Athay, R. Podmore and S. Virmany, ‘A practical method for direct analysis of transient stability,’ IEEE Trans. Power App. Syst., Vol. PAS-98, NO.2, p.573-584, March/April 1979
  2. T. J. Overbye, M. A. Pai and P. W. Sauer, ‘Some Aspects of the Energy Function Approach to Angle and Voltage Stability Analysis in Power Systems,’’ IEEE 31st CDC, Tucson, AZ, FA11-10:50, p.2941- 2946, December 1992
  3. A. R. Bergen and D. J. Hill, 'A Structure Preserving Model for Power System Stability Analysis,' IEEE Trans. Power App. Syst., Vol. PAS-100, NO.1, p.25- 33, January 1981
  4. N. A. Tsolas, A. Arapostathis and P. P. Varaiya, 'A Structure Preserving Energy Function for Power System Transient Stability Analysis,' IEEE Trans. on Circuit and Systems, Vol. CAS-32, NO.10, p.1041-1049, October 1985
  5. 'K. R. Padiyar and K. K. Ghosh, Direct stability evaluation of power systems with detailed generator models using structure preserving energy functions,' International Journal of Electric Energy and Power Systems, Vol.13, p.135-148, 1987
  6. Th. Van Cutsem and M. Ribbens-Pavella, 'Structure Preserving Direct Methods for Transient Stability Analysis,' Proc. 24th IEEE Conference on Decision & Control, Ft. Lauderdale, FL, p.70-76, December 1985
  7. Y.-H. Moon, et al., ‘‘Development of an energy function reflecting the transfer conductance for direct stability analysis in power systems’’, IEE Proc.- Generation Transmission and Distribution., Vol. 144, No. 5, pp. 503-509, 1997. 9
  8. Y.-H. Moon, B.-H. Cho, T.-H. Roh, B.-K. Choi, 'The Development of Equivalent System Technique for Derivation Energy Function Considering Transfer Conductances', IEEE Trans. on Power Systems, Vol. 14, No. 4, pp.1335-1341, November 1999 https://doi.org/10.1109/59.801893
  9. Y.H. Moon, et al., 'An EMM Approach to Derive an Energy Integral for the Direct Method of Stability Analysis in Power Systems', Journal of Electrical Engineering and Information Science, Vol. 1, pp.58- 69, 1996. 3
  10. Y.H. Moon, et al., 'Equivalent Mechanical Model of Power Systems for Energy-based System analysis', submitted to IEEE CDC proceedings, 2001
  11. Y.-H. Moon, et al., 'Derivation of energy conservation law by complex line integral for the direct energy method of power system stability', Proc. of the 38th IEEE CDC '99, Phoenix, Ar., p. 4662- 4667, Paper No. : CDC99-REG0335, Dec. 7-10, 1999
  12. M.A Pai and P.G. Murthy, 'On Lyapunov Functions for Power Systems with Transfer Conductances', IEEE Trans. on Automatic Control, Vol.AC-18, pp.181-183, April 1973
  13. P.W. Sauer and M.A. Pai, Power System Dynamics and stability, Prentice Hall Inc., New Jersey, 1998
  14. Keith R. Symon, Mechanics, Addison-Wesley Pub. Co., 3rd Ed., Jun. 1971
  15. Rayleigh, Baron, (J. W. Strutt), 'Some general theorems relating to vibration', Proceedings of the Mathematical Society of London, 1873, Vol. 4, pp. 357-368. See also : The Theory of Sound, 2$^nd$ edn, Vol. 1. Dover Publ. pp. 100-104, New York, 1945
  16. A.A. Fouad and V. Vittal, Power System Transient Stability Analysis Using the Transient Energy Function Method, Englewood Cliffs, N.J. : Prentice Hall, 1992