A separable approximation dynamic programming algorithm for economic dispatch with transmission losses

A separable approximation dynamic programming algorithm for economic dispatch with transmission losses

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Article ID: iaor20041789
Country: Serbia
Volume: 12
Issue: 2
Start Page Number: 157
End Page Number: 166
Publication Date: Jan 2002
Journal: Yugoslav Journal of Operations Research
Authors: ,
Keywords: economics
Abstract:

The standard way to solve the static economic dispatch problem with transmission losses is the penalty factor method. The problem is solved iteratively by a Lagrange multiplier method or by dynamic programming, using values obtained at one iteration to compute penalty factors for the next until stability is attained. A new iterative method is proposed for the case where transmission losses are represented by a quadratic formula (i.e., by the traditional B-coefficients). A separable approximation is made at each iteration, which is much closer to the initial problem than the penalty factor approximation. Consequently, lower cost solutions may be obtained in some cases, and convergence is faster.

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