Print Email Facebook Twitter Optimal power flow formulations and their impacts on the performance of solution methods Title Optimal power flow formulations and their impacts on the performance of solution methods Author Sereeter, B. (TU Delft Numerical Analysis) Vuik, Cornelis (TU Delft Numerical Analysis) Witteveen, C. (TU Delft Algorithmics) Palensky, P. (TU Delft Intelligent Electrical Power Grids) Date 2019 Abstract In this paper, we study four equivalent mathematical formulations of the Optimal Power Flow (OPF) problem and their impacts on the performance of solution methods. We show how four mathematical formulations of the OPF problem can be obtained by rewriting equality constraints given as the power flow problem into four equivalent mathematical equations using power balance or current balance equations in polar or Cartesian coordinates while keeping the same physical formulation. All four mathematical formulations are implemented in Matpower. In order to identify the formulation that results in the best convergence characteristics for the solution method, we apply MIPS, KNITRO, and FMINCON on various test cases using three different initial conditions. We compare all four formulations in terms of impact factors on the solution method such a number of nonzero elements in the Jacobian and Hessian matrices, a number of iterations and computational time on each iteration. The numerical results show that the performance of the OPF solution method is not only dependent upon the choice of the solution method itself, but also upon the exact mathematical formulation used to specify the OPF problem. To reference this document use: http://resolver.tudelft.nl/uuid:cbc52b4c-f897-45a3-9776-c90c1aae69c6 DOI https://doi.org/10.1109/PESGM40551.2019.8973585 Publisher IEEE ISBN 9781728119816 Source 2019 IEEE Power and Energy Society General Meeting, PESGM 2019, 2019-August Event 2019 IEEE Power and Energy Society General Meeting, PESGM 2019, 2019-08-04 → 2019-08-08, Atlanta, United States Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type conference paper Rights © 2019 B. Sereeter, Cornelis Vuik, C. Witteveen, P. Palensky Files PDF 08973585.pdf 514.31 KB Close viewer /islandora/object/uuid:cbc52b4c-f897-45a3-9776-c90c1aae69c6/datastream/OBJ/view