Solving non-convex economic dispatch with valve-point effects and losses with guaranteed accuracy

Loïc Van Hoorebeeck, Pierre-Antoine Absil and Anthony Papavasiliou
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Anthony Papavasiliou: Université catholique de Louvain, LIDAM/CORE, Belgium

No 3276, LIDAM Reprints CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: The economic dispatch problem is a fundamental problem in power system operations. An extensive body of literature has focused on providing fast and robust algorithms for solving the various instances of the economic dispatch. In order to capture physical effects such as the power losses of the network or the valve-point loading effect of combined cycle gas turbines, non-convex models of the economic dispatch have been considered. However, these features of the problem render the convergence analysis more challenging, and few methods in the literature provide insights on the global optimality of the derived solution. In this work, we propose an algorithm that efficiently provides a feasible solution, along with a lower bound, to a non-smooth and non-convex instance of the economic dispatch problem. We test our method on extensively studied test cases, and show that, in comparison with state-of-the-art methods and within a comparable computation time, it provides a solution with a much lower deviation from the power balance constraint, while furthermore producing a lower bound with an optimality gap below one percent.

Keywords: Non-convex dispatch; Riemannian descent; Non-smooth optimization (search for similar items in EconPapers)
Pages: 29
Date: 2023-01-01
Note: In: International Journal of Electrical Power & Energy Systems, 2022, vol. 134, 107143
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Persistent link: https://EconPapers.repec.org/RePEc:cor:louvrp:3276

DOI: 10.1016/j.ijepes.2021.107143

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