Article information

2017 , Volume 22, ¹ 4, p.95-104

Perzhabinsky S.M.

Increasing efficiency of the Monte Carlo method when analyzing the adequacy of electric power systems

New method for generation of adequacy assessment of electric power system (EPS) is presented in the paper. The method is based on a modified approach to simulation of random values. We propose to simulate directions for variation in random values. Computations begin with the EPS worst state with minimal generation and maximal load. We use simulated directions to find the EPS state without power shortage. For power shortage estimation, we use parametric linear programming problem. Dual parametric problem is also presented in the paper.

The dual problem has parametric objective function and constraints without parameters. There are effective methods to solve such kind of parametric linear programming problems. Computational complexity of solving the dual parametric problem is equal to the complexity of solving a linear programming problem. We analyze the set of EPS shortage states along given directions within given time while solving parametric problem of power shortage estimation. Such approach will increase the certainty of reliability indices.

The developed method was tested for problems with continuous random variables. We compared the developed method with classical approach experimentally. Results of experiments corroborate the efficiency of new method.

[full text]
Keywords: Monte Carlo method, electric power system, adequacy, adequacy analysis, reliability

Author(s):
Perzhabinsky Sergey Mikhailovich
PhD.
Position: Senior Research Scientist
Office: Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences
Address: 664033, Russia, Irkutsk, Lermontov str., 130
Phone Office: (3952) 500-646
E-mail: smper@isem.irk.ru
SPIN-code: 1732-4420

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Bibliography link:
Perzhabinsky S.M. Increasing efficiency of the Monte Carlo method when analyzing the adequacy of electric power systems // Computational technologies. 2017. V. 22. ¹ 4. P. 95-104
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