摘要详情

ID / 提交时间

137 / 2022-07-05 15:08:55

标题

Linearization of AC Power Flow Equation Based on Least-squares Approximation

关键字

Linear power flow model, least-squares approximation, Taylor expansion principle, approximation region, power flow calculation

主题及专题

Power System and Automation > Other topics in Power system

状态

终稿

作者

Runfeng Zhong / Huazhong University of Science and Technology

Ruanming Huang / State Grid Shanghai Economic and Technical Research Institute

Xiaohui Wang / State Grid Shanghai Economic and Technical Research Institute

Fei Fei / State Grid Shanghai Economic and Technical Research Institute

Ning Chen / State Grid Energy Research Institute

Lishen Wei / Huazhong University of Science and Technology

Xiaomeng Ai / Huazhong University of Science and Technology

Jiakun Fang / Huazhong University of Science and Technology

摘要

Linearization of nonlinear power flow equation is of great significance to power system analysis because it can reduce computational burden and guarantee theoretical convergence, the improvement of whose accuracy is a crucial research topic. The existing Taylor expansion based linear power flow models may not perform accurately when the system operating point is far from the expansion point. In this paper, we propose a linear power flow model with minimum mean square error in the approximation region from the perspective of function approximation theory, which is different from the local mathematical properties inherent in the Taylor expansion principle. The proposed model can consider the information of the AC power flow equation in the defined approximation region instead of just using a base point. Therefore, the overall accuracy of the model can be greatly improved. Numerical results verify the effectiveness of the proposed least-squares approximation based linear power flow model.