A Simulation Method of Steady-State and Quasi-Steady-State Modes of Electric Power Systems

Abstract

An algorithmic implementation of a method of calculation of the modes of electric power systems with arbitrary structure is considered based on nodal-voltage equations, which is distinguished by the absence of reduction of the elements of electric power systems to each ratio transformation step. The interaction of electrically connected elements is arranged by the electrical parameters of the mode (of currents and voltages). The calculations of the modes of electric power systems are based on the solution of equations formulated based on the method of nodal-voltage equations. Based on analysis, the model was selected in the form of complex nodal-voltage equations as the balance of currents when setting a load by constant conductivity using topological matrices. As a result of proposed approach, the currents and the voltages of the branches are expressed through the components along the longitudinal d and the transverse q axes, the transition to instantaneous values of currents and voltages is carried out using a coordinate transformer by Gorev’s formulas. The representation in the d and q axes makes it possible to use directly the catalogued data of equipment when simulating synchronous machines. The method can also be used when tuning the excitation control systems of generators to check the correspondence of the excitation voltages of the system to the nodal voltages. It is proposed to develop the model of electric power system to the level of simulation of transient processes in structural elements at which the equations in the Park–Gorev coordinates are predominantly used.