Feasible Path Identification in Optimal Power Flow With Sequential Convex Restriction
| Autor: | Dongchan Lee, Konstantin Turitsyn, Line Roald, Daniel K. Molzahn |
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| Rok vydání: | 2020 |
| Předmět: |
Operating point
Sequence Mathematical optimization Computer science 020209 energy Energy Engineering and Power Technology Approximation algorithm 02 engineering and technology AC power Electronic mail Nonlinear system Optimization and Control (math.OC) Path (graph theory) FOS: Mathematics 0202 electrical engineering electronic engineering information engineering Point (geometry) Electrical and Electronic Engineering Mathematics - Optimization and Control |
| Zdroj: | IEEE Transactions on Power Systems. 35:3648-3659 |
| ISSN: | 1558-0679 0885-8950 |
| Popis: | Nonconvexity induced by the nonlinear AC power flow equations challenges solution algorithms for AC optimal power flow (OPF) problems. While significant research efforts have focused on reliably computing high-quality OPF solutions, it is not always clear that there exists a feasible path to reach the desired operating point. Transitioning between operating points while avoiding constraint violations can be challenging since the feasible space of the OPF problem is nonconvex and potentially disconnected. To address this problem, we propose an algorithm that computes a provably feasible path from an initial operating point to a desired operating point. Given an initial feasible point, the algorithm solves a sequence of convex quadratically constrained optimization problems over conservative convex inner approximations of the OPF feasible space. In each iteration, we obtain a new, improved operating point and a feasible transition from the operating point in the previous iteration. In addition to computing a feasible path to a known desired operating point, this algorithm can also be used to improve the operating point locally. Extensive numerical studies on a variety of test cases demonstrate the algorithm and the ability to arrive at a high-quality solution in few iterations. |
| Databáze: | OpenAIRE |
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