论文信息 - A CLASS OF LOAD PERTURBATIONS IN RELIABILITY EVALUATION OF ELECTRIC POWER SYSTEMS

A CLASS OF LOAD PERTURBATIONS IN RELIABILITY EVALUATION OF ELECTRIC POWER SYSTEMS

ABSTRACT The modeling of random perturbations that occur in dynamic power systems is studied in this paper. These perturbations represent random fluctuations of various system components such as transmission lines and loads. Based on these random inputs, the mean first passage time (MFPT) of a dynamic system from its region of attraction will be the basis for the evaluation of the system reliability when different design criteria are considered. In this region, the planning procedure for a small power system will be simulated and results will be discussed to support the use of this index in reliability studies. The modeling of small perturbations that covers a wide range of intensities and bandwidths for a variety of fluctuations in power systems is emphasized in this paper. The proposed method relies on the stochastic analysis of a dynamic system, and small perturbations that cover a wide range of intensities and bandwidths for a variety of fluctuations in power systems are emphasized in this paper. This...

Chika O. Nwankpa | S. M. Shahidehpour | J. Qiu | J. Qiu | C. Nwankpa

[1] Gerd A. Luders. Transient Stability of Multimachine Power Systems via the Direct Method of Lyapunov , 1971 .

[2] Eshel Ben-Jacob,et al. A Singular Perturbation Approach to Kramers’ Diffusion Problem , 1982 .

[3] Kenneth A. Loparo,et al. A probabilistic mechanism for small disturbance instabilities in electric power systems , 1985 .

[4] D. Ludwig. Persistence of Dynamical Systems under Random Perturbations , 1975 .

[5] B. Matkowsky,et al. The Exit Problem for Randomly Perturbed Dynamical Systems , 1977 .

[6] L. Arnold. Stochastic Differential Equations: Theory and Applications , 1992 .

[7] M. Freidlin,et al. Random Perturbations of Dynamical Systems , 1984 .

[8] R. Podmore,et al. A Practical Method for the Direct Analysis of Transient Stability , 1979, IEEE Transactions on Power Apparatus and Systems.

[9] Chika O. Nwankpa,et al. A probabilistic approach to bulk power transmission systems analysis , 1989, The Proceedings of the Twenty-First Annual North American Power Symposium.

[10] S. M. Shahidehpour,et al. Effect of random perturbations on the dynamic behavior of power systems , 1986 .

[11] Bernard J. Matkowsky,et al. Colored noise in dynamical systems , 1988 .

[12] H. Kushner. Robustness and Approximation of Escape Times and Large Deviations Estimates for Systems with Small Noise Effects , 1984 .