Mathematical modeling of electric regime of closed supply network taking into account temperature dependence of active resistances

Abstract

In this paper, there is considered the problem of calculating the mode of an electrical network with two-way feed, taking into account the temperature dependence of the active resistances. The purpose of the article is to analyze the modes of an electrical grid with and without consideration of the mutual influence of electro-thermal processes. The simultaneous solution of the equations of electric and thermal regimes is realized on the basis of temperature correction in the formation of the Jacobi matrix at each iteration of the solution of the nodal stress equations. Taking into account the temperature dependence of the active resistances allows us to clarify the parameters of the regime of the electric power system. Based on the results obtained, it follows that when taking thermal processes into account, the currents, voltage deviations and power losses in the network are substantially refined. The greatest degree of refinement takes place when calculating the losses of active power.

Keywords

• electric regime
• the temperature dependence
• newton method
• active resistance