Reducing power system model dimensions based on linearization for static analysis

Authors: FARID KARBALAEI, MARYAM JEBREILZADEH, HAMIDREZA SHAHBAZI

Abstract: A reliable solution for determining the effect of a group of contingencies on a power system is to simulate all of them through load flow. It is impossible to simulate any detailed cases through a complete AC load flow solution because of the high number of possible contingencies. For this reason, system dimension reduction methods, which are based on an equivalent of one part of a system, are being used. In this paper we compare our previously proposed network equivalent method with the 2 well-known equivalent methods of Ward and Ward-PV in terms of solving speed and accuracy. The proposed network equivalent method is based on linearization. In this method, first the network is divided into 3 areas: internal, boundary, and external. Next, the equations of the external and boundary areas are linearized and the external area equations are removed. By doing so, the number of equations is decreased and the speed of load flow solutions is increased. The simulations are applied on 14-, 30-, 39-, and 57-bus IEEE systems. The results of simulations show the effectiveness of our proposed method.

Keywords: Static power system analysis, system dimension reduction, equivalent, linearization

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