Decentralized Stochastic Control of Distributed Energy Resources
We consider the decentralized control of radial distribution systems with controllable photovoltaic inverters and energy storage resources. For such systems, we investigate the problem of designing fully decentralized controllers that minimize the expected cost of balancing demand, while guaranteein...
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| Published in | IEEE transactions on power systems Vol. 33; no. 1; pp. 888 - 900 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
IEEE
01.01.2018
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| Subjects | |
| Online Access | Get full text |
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| Abstract | We consider the decentralized control of radial distribution systems with controllable photovoltaic inverters and energy storage resources. For such systems, we investigate the problem of designing fully decentralized controllers that minimize the expected cost of balancing demand, while guaranteeing the satisfaction of individual resource and distribution system voltage constraints. Employing a linear approximation of the branch flow model, we formulate this problem as the design of a decentralized disturbance-feedback controller that minimizes the expected value of a convex quadratic cost function, subject to robust convex quadratic constraints on the system state and input. As such problems are, in general, computationally intractable, we derive a tractable inner approximation to this decentralized control problem, which enables the efficient computation of an affine control policy via the solution of a finite-dimensional conic program. As affine policies are, in general, suboptimal for the family of systems considered, we provide an efficient method to bound their suboptimality via the optimal solution of another finite-dimensional conic program. A case study of a 12 kV radial distribution system demonstrates that decentralized affine controllers can perform close to optimal. |
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| AbstractList | We consider the decentralized control of radial distribution systems with controllable photovoltaic inverters and energy storage resources. For such systems, we investigate the problem of designing fully decentralized controllers that minimize the expected cost of balancing demand, while guaranteeing the satisfaction of individual resource and distribution system voltage constraints. Employing a linear approximation of the branch flow model, we formulate this problem as the design of a decentralized disturbance-feedback controller that minimizes the expected value of a convex quadratic cost function, subject to robust convex quadratic constraints on the system state and input. As such problems are, in general, computationally intractable, we derive a tractable inner approximation to this decentralized control problem, which enables the efficient computation of an affine control policy via the solution of a finite-dimensional conic program. As affine policies are, in general, suboptimal for the family of systems considered, we provide an efficient method to bound their suboptimality via the optimal solution of another finite-dimensional conic program. A case study of a 12 kV radial distribution system demonstrates that decentralized affine controllers can perform close to optimal. |
| Author | Bitar, Eilyan Weixuan Lin |
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| CitedBy_id | crossref_primary_10_1016_j_epsr_2019_02_019 crossref_primary_10_1016_j_ijepes_2020_106314 crossref_primary_10_1016_j_apenergy_2021_116857 crossref_primary_10_1109_TPWRS_2022_3163371 crossref_primary_10_1155_2020_6574659 crossref_primary_10_1109_ACCESS_2021_3108905 crossref_primary_10_1109_ACCESS_2020_3018086 crossref_primary_10_1109_TPWRS_2020_3032467 crossref_primary_10_1007_s00202_023_02078_w crossref_primary_10_1109_LCSYS_2022_3230321 crossref_primary_10_1016_j_scs_2021_102832 crossref_primary_10_1109_TSTE_2020_2981486 crossref_primary_10_1080_00207179_2020_1778792 crossref_primary_10_1109_TSG_2019_2942850 crossref_primary_10_3390_en12071386 crossref_primary_10_1109_TSG_2021_3132029 crossref_primary_10_1016_j_ijepes_2021_107114 crossref_primary_10_1109_TPWRS_2020_3015218 crossref_primary_10_1016_j_rser_2022_112794 crossref_primary_10_1109_JSYST_2020_2989314 crossref_primary_10_1109_TSG_2019_2935711 crossref_primary_10_1016_j_compeleceng_2024_109903 crossref_primary_10_1109_TPWRS_2023_3319699 crossref_primary_10_1109_ACCESS_2020_3007849 crossref_primary_10_1016_j_ijepes_2024_110031 crossref_primary_10_1049_enc2_12051 crossref_primary_10_3390_en16020693 crossref_primary_10_1016_j_segan_2020_100333 crossref_primary_10_1109_TPWRS_2018_2890767 crossref_primary_10_1109_TPWRS_2018_2849581 crossref_primary_10_1109_TCNS_2024_3462536 |
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| SubjectTerms | Decentralized control distributed energy resources Energy resources Energy storage Inverters Mathematical model Reactive power Solar power generation Substations volt/var optimization |
| Title | Decentralized Stochastic Control of Distributed Energy Resources |
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