A proposed method for design of test cases for economic analysis in power systems
J.A. Marmolejo-Saucedoa*, R. Rodríguez-Aguilarb
a Faculty of Engineering, Anahuac University, Ciudad de México, México. *Corresponding author. E-mail address: jose.marmolejo@anahuac.mx
b School of Economics, National Polytechnic Institute, Ciudad de México, México.
Abstract
]]> Nowadays, in power systems, we still lack the existence of standardized test systems that can be used to benchmark the performance and solution quality of proposed optimization techniques. Several authors report that the electric load pattern is very complex. It is therefore necessary to develop new methods for design of test cases for economic analysis in power systems. Therefore, we compared two methods to generate test systems: time series model and a method simulating stable random variables based on the use of Chambers-Mallows-Stuck. This paper describes a method for simulating stable random variables in the generation of test systems for economic analysis in power systems. A study focused on generating test electrical systems through stable distribution to model for unit commitment problem in electrical power systems. Usually, the instances of test systems in unit commitment are generated using normal distribution, but the behavior of electrical demand does not follow a normal distribution; in this work, simulation data are based on a new method. For empirical analysis, we used three original systems to obtain the demand behavior and thermal production costs. Numerical results illustrate the applicability of the proposed method by solving several unit commitment problems directly and through the Lagrangian relaxation of the original problem.Keywords: Stable distribution; Time series; Unit commitment; Test systems; Power systems.
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