Steady-state stability criteria and uniqueness of load flow solutions for radial distribution systems

Jiann-Fuh Chen; Wei Ming Wang

doi:10.1016/0378-7796(93)90082-P

Steady-state stability criteria and uniqueness of load flow solutions for radial distribution systems

Jiann-Fuh Chen, Wei Ming Wang

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

Stability criteria and the uniqueness of load flow solutions for radial distribution systems have been discussed recently. In this paper, stability criteria are discussed and derived geometrically from load flow equations. Moreover, circle diagrams of synchronous generators and the Jacobian matrix developed in the Newton-Raphson method are applied to analyze the feasibility and uniqueness properties of the load flow solutions for radial distribution systems. It is proposed tha the feasibility of a solution for a radial distribution system can be judged directly from the Jacobian matrix taken from the system's equivalent two-bus network. Two radial systems were tested to justify the approach.

Original language	English
Pages (from-to)	81-87
Number of pages	7
Journal	Electric Power Systems Research
Volume	28
Issue number	1
DOIs	https://doi.org/10.1016/0378-7796(93)90082-P
Publication status	Published - 1993 Jan 1

All Science Journal Classification (ASJC) codes

Energy Engineering and Power Technology
Electrical and Electronic Engineering

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AB - Stability criteria and the uniqueness of load flow solutions for radial distribution systems have been discussed recently. In this paper, stability criteria are discussed and derived geometrically from load flow equations. Moreover, circle diagrams of synchronous generators and the Jacobian matrix developed in the Newton-Raphson method are applied to analyze the feasibility and uniqueness properties of the load flow solutions for radial distribution systems. It is proposed tha the feasibility of a solution for a radial distribution system can be judged directly from the Jacobian matrix taken from the system's equivalent two-bus network. Two radial systems were tested to justify the approach.

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