Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Voltage Stability Constrained Optimal Power Flow for Unbalanced Distribution System Based on Semidefinite Programming
This paper proposes a voltage stability constrained optimal power flow (VSC-OPF) for an unbalanced distribution system with distributed generators (DGs) based on semidefinite programming (SDP). The AC optimal power flow (ACOPF) for unbalanced distribution systems is formulated as a chordal relaxation-based SDP model. The minimal singular value (MSV) of the power flow Jacobian matrix is adopted to indicate the voltage stability margin. The Jacobian matrix can be explicitly expressed by ACOPF state variables. The nonlinear constraint on the Jacobian MSV is then replaced with its maximal convex subset using linear matrix inequality (LMI), which can be incorporated in the SDP-based ACOPF formulation. A penalty technique is leveraged to improve the exactness of the SDP relaxation. Case studies performed on several IEEE test systems validate the effectiveness of the proposed method.
Voltage Stability Constrained Optimal Power Flow for Unbalanced Distribution System Based on Semidefinite Programming
This paper proposes a voltage stability constrained optimal power flow (VSC-OPF) for an unbalanced distribution system with distributed generators (DGs) based on semidefinite programming (SDP). The AC optimal power flow (ACOPF) for unbalanced distribution systems is formulated as a chordal relaxation-based SDP model. The minimal singular value (MSV) of the power flow Jacobian matrix is adopted to indicate the voltage stability margin. The Jacobian matrix can be explicitly expressed by ACOPF state variables. The nonlinear constraint on the Jacobian MSV is then replaced with its maximal convex subset using linear matrix inequality (LMI), which can be incorporated in the SDP-based ACOPF formulation. A penalty technique is leveraged to improve the exactness of the SDP relaxation. Case studies performed on several IEEE test systems validate the effectiveness of the proposed method.
Voltage Stability Constrained Optimal Power Flow for Unbalanced Distribution System Based on Semidefinite Programming
Yanling Lin (Autor:in) / Xiaohu Zhang (Autor:in) / Jianhui Wang (Autor:in) / Di Shi (Autor:in) / Desong Bian (Autor:in)
2022
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
Metadata by DOAJ is licensed under CC BY-SA 1.0
Symmetricity of the solution of semidefinite programming
| British Library Online Contents | 2002
On the robustness and scalability of semidefinite relaxation for optimal power flow problems
| Online Contents | 2019
On the robustness and scalability of semidefinite relaxation for optimal power flow problems
| Springer Verlag | 2020
Three-Phase Unbalanced Optimal Power Flow Using Holomorphic Embedding Load Flow Method
| DOAJ | 2019
Model calibration for optical lithography via semidefinite programming
| Springer Verlag | 2007