Zhenyi Ji , Wenyuan Wu , Yi Li , Yong Feng Automated Reasoning and Cognition Key Lab, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Science, Chongqing, 401120, P.R. China Lab. of Computer Reasoning and Trustworthy Comput,School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, P.R.China Abstract The purpose of this paper is to compute the singular solution of the nonlinear equations arising in power flow system. Based on the approximate null space of the Jacobian matrix, more equations are introduced to the origin system. Meanwhile, the Jacobian matrix of augmented equations at initial value is full rank, then the algorithm recovers quadratic convergence of Newton’s iteration. The algorithm in this paper leads to higher accuracy of the singular solution and less iteration steps. In addition, two power flow systems are studied in this paper and the results show this new method has high accuracy and efficiency compared with traditional Newton iteration |
