Tracing the Flow for Transmission System Based on Components

Abstract

In this paper a method, which is called injection power components theory, for tracing power flow and loss allocation is brought forward. By means of dividing the injection power of sources into components including self-power and mutual-power components and analyzing components' distribution on meshed network, the characteristics of power distribution is given. Firstly, based on the basic circuit theory without assumptions, analytic expression of power injection of a source is put forward. Then power injection of a particular source is decomposed into power components which number is equal to the square of the number of total sources in meshed network. At last the mathematical process is given to prove that any a component meets the power conservation law, and any a power component is independently distributed based on the different rules and complies with the law of power components conservation. In order to demonstrate the applications of the proposed method, IEEE 9-bus system are used to allocate to participants. Result studies show that the proposed method is simple, reasonable and practical.