Step-by-Step Calculation of Reactive Power Compensation in Electrical Networks Based on Their Decomposition

Abstract

Method calculation of reactive power compensation, based on decomposition of electric network, in the article was development, which allows to do this calculation step-by-step in the individual subsystems of electric network taking into account the influence of other subsystems This method is based on the decomposition of function reduction of active power losses, which allows to simplify the calculation of reactive power compensation for all electric networks on the whole. The analysis of decomposition of electric network is carried out and the example of calculation of reactive power compensation in an electric network based on decomposition is shown. References 7, figures 5, tables 2.

Decomposition of a class of linear electrical networks for calculation of total power

“…Tellegen's theorem has also a significant application in performing the analyses of sensitivities of electrical networks, including electric power systems [4]. The use of variational principle for power system analysis is explained in [5], while several methods for calculation of power based on decomposition of electrical networks may be found in [6][7][8][9]. This work presents a new method of calculation of total power of the source by the method of decomposition or the total power dissipated in impedances in a linear electrical network (LEN), under the condition that all impedances Z of the network are either resistive ImðZÞ ¼ 0 or reactive ReðZÞ ¼ 0 or mutually equal.…”