Neumann Series Based Voltage Sensitivity Analysis for Three Phase Distribution System

James Ranjith Kumar R., Balasubramaniam Natarajan, Anil Pahwa

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1 Citation (Scopus)


In this letter, a simplified voltage sensitivity analysis technique that can provide accurate estimates of voltage change across the network for a given change in bus power injections in a three-phase unbalanced distribution network is proposed. This technique is derived from the first-order approximation of the Neumann series, which allows maintaining the accuracy of the solution while the computational effort is reduced. The proposed technique is tested on a 559-bus unbalanced distribution system with multiple distributed generation resources. The results show that the average error in the voltage estimates with the proposed method is not more than 0.3% with the execution time of similar order relative to the state-of-The-Art sensitivity analysis methods.
Original languageEnglish
Pages (from-to)3145-3148
Number of pages4
JournalIEEE Transactions on Power Systems
Issue number4
Early online date7 Mar 2022
Publication statusPublished - 1 Jul 2022
Externally publishedYes

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