Parameter Optimization of Droop Controllers for Microgrids in Islanded Mode by the SQP Method with Gradient Sampling
For enhancing the stability of the microgrid operation, this paper proposes an optimization model considering the small-signal stability constraint. Due to the nonsmooth property of the spectral abscissa function, the droop controller parameters’ optimization is a nonsmooth optimization problem. The...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5634274 |
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| author | Peijie Li Ziyi Yang Shuchen Huang Jun Zhang |
| author_facet | Peijie Li Ziyi Yang Shuchen Huang Jun Zhang |
| author_sort | Peijie Li |
| collection | DOAJ |
| description | For enhancing the stability of the microgrid operation, this paper proposes an optimization model considering the small-signal stability constraint. Due to the nonsmooth property of the spectral abscissa function, the droop controller parameters’ optimization is a nonsmooth optimization problem. The Sequential Quadratic Programming with Gradient Sampling (SQP-GS) is implemented to optimize the droop controller parameters for solving the nonsmooth problem. The SQP-GS method can guarantee the solution of the optimization problem globally and efficiently converges to stationary points with probability of one. In the current iteration, the gradient of the nonsmooth function can be evaluated on a set of randomly generated nearby points by computing closed-form sensitivities. A test on the microgrid system shows that the optimality and the efficiency of the SQP-GS are better than those of the heuristic algorithms. |
| format | Article |
| id | doaj-art-d40a99ee6293489883cdd90f3f84e8a2 |
| institution | DOAJ |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-d40a99ee6293489883cdd90f3f84e8a22025-08-20T03:23:47ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/56342745634274Parameter Optimization of Droop Controllers for Microgrids in Islanded Mode by the SQP Method with Gradient SamplingPeijie Li0Ziyi Yang1Shuchen Huang2Jun Zhang3School of Electrical Engineering, Guangxi University, Nanning 530004, ChinaSchool of Electrical Engineering, Guangxi University, Nanning 530004, ChinaNanning Power Supply Bureau, Guangxi Power Grid Corporation, Nanning 530031, ChinaGuangxi Power Grid Dispatch and Control Center, Guangxi Power Grid Corporation, Nanning 530023, ChinaFor enhancing the stability of the microgrid operation, this paper proposes an optimization model considering the small-signal stability constraint. Due to the nonsmooth property of the spectral abscissa function, the droop controller parameters’ optimization is a nonsmooth optimization problem. The Sequential Quadratic Programming with Gradient Sampling (SQP-GS) is implemented to optimize the droop controller parameters for solving the nonsmooth problem. The SQP-GS method can guarantee the solution of the optimization problem globally and efficiently converges to stationary points with probability of one. In the current iteration, the gradient of the nonsmooth function can be evaluated on a set of randomly generated nearby points by computing closed-form sensitivities. A test on the microgrid system shows that the optimality and the efficiency of the SQP-GS are better than those of the heuristic algorithms.http://dx.doi.org/10.1155/2021/5634274 |
| spellingShingle | Peijie Li Ziyi Yang Shuchen Huang Jun Zhang Parameter Optimization of Droop Controllers for Microgrids in Islanded Mode by the SQP Method with Gradient Sampling Complexity |
| title | Parameter Optimization of Droop Controllers for Microgrids in Islanded Mode by the SQP Method with Gradient Sampling |
| title_full | Parameter Optimization of Droop Controllers for Microgrids in Islanded Mode by the SQP Method with Gradient Sampling |
| title_fullStr | Parameter Optimization of Droop Controllers for Microgrids in Islanded Mode by the SQP Method with Gradient Sampling |
| title_full_unstemmed | Parameter Optimization of Droop Controllers for Microgrids in Islanded Mode by the SQP Method with Gradient Sampling |
| title_short | Parameter Optimization of Droop Controllers for Microgrids in Islanded Mode by the SQP Method with Gradient Sampling |
| title_sort | parameter optimization of droop controllers for microgrids in islanded mode by the sqp method with gradient sampling |
| url | http://dx.doi.org/10.1155/2021/5634274 |
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