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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  );
  • 초록

    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.


  • 주제어

    Direct method .   Energy function .   EMM (Equivalent Mechanical Model) .   Lagrange's Equation .   Energy Integral.  

  • 참고문헌 (16)

    1. 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 
    2. '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 
    3. 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 
    4. A.A. Fouad and V. Vittal, Power System Transient Stability Analysis Using the Transient Energy Function Method, Englewood Cliffs, N.J. : Prentice Hall, 1992 
    5. 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 
    6. 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 
    7. 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 
    8. Keith R. Symon, Mechanics, Addison-Wesley Pub. Co., 3rd Ed., Jun. 1971 
    9. 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 
    10. 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 
    11. 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 
    12. Y.H. Moon, et al., 'Equivalent Mechanical Model of Power Systems for Energy-based System analysis', submitted to IEEE CDC proceedings, 2001 
    13. P.W. Sauer and M.A. Pai, Power System Dynamics and stability, Prentice Hall Inc., New Jersey, 1998 
    14. 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 
    15. 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 
    16. 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 

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