Evaluation of the Performance and Reliability of a Real-time Power System Described by a DES Model using Fuzzy-Random Variables

퍼지-랜덤 변수를 이용한 DES 모델링을 통한 실시간 전력 시스템의 성능 및 신뢰도 평가

  • 민병조 (연세대 공대 전기·컴퓨터공학과) ;
  • 이석주 (KIST 명지제어연구센터) ;
  • 김학배 (연세대 공대 전기·컴퓨터공학과)
  • Published : 2000.07.01

Abstract

To flexibly evaluate performance and reliability of an electric power system in the aspect of the real-time system which is intrinsically characterized by stringent timing constraints fails catastrophically if its control input is not updated by its digital controller computer within a certain time limit called the hard deadline, we propose fuzzy-random variables and build a discrete event model embedded with fuzzy-random variables. Also, we adapt fuzzy-variables to a path-space approach, which derives the upper and lower bounds of reliability by using a semi-Markov model that explicitly contains the deadline information. Consequently, we propose certain formulas of state automata properly transformed by fuzzy-random variables, and present numerical examples applying the formulas as well.

Keywords

References

  1. Z. Zhang, G. Hope, and O. Malik : 'Expert System in Electric Power Systems -- A Bibliographical Survey', IEEE Trans. on Power Systems, Vol. 4, pp. 1355-1362, Oct. 1989 https://doi.org/10.1109/59.41685
  2. J. Keronen, 'An Expert System Prototype for Event Diagnosis and Real-Time Operation Planning in Power System Control', IEEE/PES, pp.544-550, Apr.1988 https://doi.org/10.1109/59.193828
  3. K. G. Shin, C. M. Krishna, Y.-H. Lee, 'A unified method for evaluating real-time computer controllers and its application', IEEE Trans. Automatic Control, vol 30, 1985 https://doi.org/10.1109/TAC.1985.1103952
  4. T. Chou, J. Abraham, 'Performance/availability model of shared resource multiprocessors', vo 29, 1980
  5. K. Shin and H. Kim, 'Derivation and Application of Hard Deadlines for Real-Time Control Systems', IEEE Trans. on Systems, Man & Cybernetics, vol. 22, no. 6, pp. 1403-1413, 1992 https://doi.org/10.1109/21.199465
  6. H. Kim and K. Shin, 'On the Maximum Feedback Delay in a Linear/Nonlinear Control Systems with Input Disturbances Caused by Controller Computer Failures', IEEE Transactions on Control Systems Technology, vol. 2, no. 2, pp. 110-122, June 1994 https://doi.org/10.1109/87.294334
  7. H. Kwakernaak, 'Fuzzy random variables: definitions and theorems', Inform. Sci., vol. 15, 1978 https://doi.org/10.1016/0020-0255(78)90019-1
  8. M. Puri, D. Ralescu, 'Fuzzy random variables', J. Math. Anal. Appl, vol.114, 1986
  9. H. Kim, A. White, K. Shin, 'Reliability modeling of real-time systems with hard deadlines', FTCS-28, pp. 304-313, 1998 https://doi.org/10.1109/FTCS.1998.689481
  10. W. Guangyuan, Z. Yue, 'The theory of fuzzy stochastic processes', Fuzzy Sets and Systems, vol. 51, 1992 https://doi.org/10.1016/0165-0114(92)90189-B
  11. M. Beaudry, 'Performance reliability for computer systems', IEEE Trans. Computers, vol. C-27, pp 540-547, 1978 https://doi.org/10.1109/TC.1978.1675145
  12. K.Shin and C.Krishna, 'New performance measures for real-time computer control and their applications', Control and Dynamic systems, 1990
  13. S. Karlin, H. Taylor, 'A first course in stochastic processes', Academic Press, New York, 1975