Title | ||
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Small-Signal Stability-Constrained Optimal Power Flow for Inverter Dominant Autonomous Microgrids |
Abstract | ||
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This article details and solves a small-signal stability-constrained optimal power flow (SSSC-OPF) for inverter-based ac microgrids. To ensure a sufficient stability margin during optimal generation, a small-signal stability constraint is embedded into the conventional OPF formulation. This condition is enforced using a Lyapunov stability equation. A reduced-order model of the microgrid is adopted to alleviate the computational burden involved in solving the resulting SSSC-OPF. Even then, the resulting stability conditions are highly nonlinear and cannot be handled using the existing methods. To tackle the nonconvexity in the SSSC-OPF due to the presence of the nonlinear stability constraint, two distinct convex relaxation approaches, namely semidefinite programming and parabolic relaxations, are developed. A heuristic penalty function is added to the objective function of the relaxed SSSC-OPF, which is solved sequentially to obtain a feasible point. While off-the-shelf tools fail to produce any feasible point within hours, the proposed approach enables us to solve the SSSC-OPF in near real time. The efficacy of the proposed SSSC-OPF is evaluated by performing numerical studies on multiple benchmarks as well as real-time studies on a microgrid system built in a controller/hardware-in-the-loop setup. |
Year | DOI | Venue |
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2022 | 10.1109/TIE.2021.3102454 | IEEE Transactions on Industrial Electronics |
Keywords | DocType | Volume |
AC microgrids,convex optimization,inverters,optimal power flow,relaxation,small-signal stability | Journal | 69 |
Issue | ISSN | Citations |
7 | 0278-0046 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Deepak Pullaguram | 1 | 0 | 0.34 |
Ramtin Madani | 2 | 0 | 0.34 |
Tuncay Altun | 3 | 1 | 0.69 |
Ali Davoudi | 4 | 347 | 35.39 |