Inverse Power Flow Problem
We formulate an inverse power flow problem that infers a nodal admittance matrix from voltage and current phasors measured at a number of buses. We show that the admittance matrix can be uniquely identified from a sequence of measurements corresponding to different steady states when every node in the system is equipped with a measurement device, and a Kron-reduced admittance matrix can be determined even if some nodes in the system are not monitored (hidden nodes). We propose an effective algorithm to uncover the actual admittance matrix of a radial system with hidden nodes from its Kron-reduced admittance matrix.
© 2023 IEEE. The work of Ye Yuan was supported by the National Natural Science Foundation of China under Grant 92167201. The authors would like to thank Dr. W. Zhou (Huazhong University of Science and Technology) for useful discussion. The authors would also like to thank the support of the US NSF through grants ECCS 1931662, 932611, Caltech Resnick Institure, and the National Sciences and Engineering Research Council of Canada through grant RGPIN-2019-04349.