Enhanced cross-entropy method for dynamic economic dispatch with valve-point effects |
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Authors: | A Immanuel Selvakumar |
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Affiliation: | Department of Electrical and Electronics Engineering, Karunya University, Karunya Nagar, Coimbatore 641 114, Tamil Nadu, India |
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Abstract: | This paper proposes an enhanced cross-entropy (ECE) method to solve dynamic economic dispatch (DED) problem with valve-point effects. The cross-entropy (CE) method, originated from an adaptive variance minimization algorithm for estimating probabilities of rare events, is a generic approach to combinatorial and multi-extremal optimization. Exploration capability of CE algorithm is enhanced in this paper by using chaotic sequence and the resultant ECE is applied to DED with valve-point effects. The performance of the proposed ECE method is rigorously tested for optimality, convergence, robustness and computational efficiency on a 10-unit test system. Additional test cases with different load patterns and increased number of generators are also solved by ECE. Numerical results show that the proposed ECE approach finds high-quality solutions reliably with faster convergence. It outperforms CE and all the previous approaches. |
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Keywords: | Cross-entropy Chaotic sequence Dynamic economic dispatch Ramp-rate limit Valve-point effect Multiple minima |
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