Formation of the Z-form of equations of steady-state modes of energy systems’ complex electric networks

Abstract

This paper describes the state of the methodological problem of calculating steady-state modes of energy systems’ complex electric networks. It also describes the topological method of forming the Z-form of equations of steady-state modes of complex electric networks. The analytical dependence of the node impedance matrix with the matrix of the nodal currents distribution coefficients is established. The matrix of infeed coefficients is determined during the initial data preparation. An analytical approach for determining infeed coefficients topological essence is considered. A simplified method for calculating the driving current distribution coefficients is proposed based on all possible graph trees of a complex electric network. An algorithm for forming infeed coefficients matrix in the environment is developed. A technique for obtaining real solutions of the steady-state mode equations is developed. Steady-state modes direct formation significantly reduces the amount of work performed, increases the visibility of the calculation algorithms performance, and ensures fast and reliable iteration convergence. Increases the level of automation and efficiency of the calculations performed.

Применение Коэффициентов Токораспределения Для Расчета Обобщенных Параметров Сложной Схемы Четырехполюсника

“…Независимо от сложности схемы пассивного четырехполюсника, его системные функции сопротивления могут быть выражены через натуральные параметры схемы, при известной матрице коэффициентов токораспределения в виде [9,10]:…”

Topological algorithm for forming nodal stresses of complex networks energy systems

“…The algorithms for implementing the calculation of node voltages depends on the form of representation of the nodal parameters, which are represented by constant active and reactive powers or active powers and voltages [21][22][23]. If the nodal parameters are given by powers, then the following expressions are valid for determining the node stresses: Hence, the value of the phase of the nodal stress for the kth iteration has the form: As can be seen, from the above expressions, for calculating the voltage of the nodes it is enough to know the current distribution coefficients in the electric network.…”