Explicit Solution of Optimal Power Flow in Power System Including Power losses and Generation Limits
Journal Title: IOSR Journals (IOSR Journal of Electrical and Electronics Engineering) - Year 2018, Vol 13, Issue 2
Abstract
Minimizing the generation cost is one of the main concerns in power system and it is usually defined as the Optimal Power Flow (OPF) problem, the equality constraint of this optimization problem is nonlinear due to the power losses of the transmission lines, where the power losses can be given either by a nonlinear function of generation powers or it can determined from the load flow, which is also a set of non linear equations, due to the nonlinearity of the power losses all the optimization techniques either deterministic or heuristic are locating the solution of OPF iteratively, in this paper an explicit solution of the OPF without need of iteration is proposed, the proposed equation depends on the B coefficient matrices, combined with the Lagrange method to cover the power losses and the generation limit constraints. The proposed equation was used to determine the OPF of IEEE 26 buses system, the results show that the proposed equation gave the same minimum cost that can be obtained from the Lagrange method.
Authors and Affiliations
Jumana Alshawawreh
Keywords
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- EP ID EP388727
- DOI 10.9790/1676-1302037582.
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