Automated Calculation of the Sustainability of the Cross Section of the Electrical Power Systems

Abstract

The approach adopted in the work involves focusing on the control of static stability of the UES on the criterion of existence of the regime, subject to weighing of certain sections. In practice, this means that on the trajectory of weighing it is necessary to find the mode which has the greatest power in the investigated section, for which the coefficient of the reserve of static stability at the active power in the intersection is calculated and normalized by the "Guideline" on the stability of the power systems. A modification of the program of calculating the stationary regime in a linearized formulation, which allows us to perform weighting at the angle of the vectors of electromotive forces (EMF), without the iterative approach to the boundary regime and to specify the stock of static stability at the intersection of the Electric Power System (EPS). The linearization of the EPS model is carried out by replacing the loads in the nodes of the conductivities, and the generating nodes — by constant electromotive forces, which are fixed on the reactive supports, the magnitude of which corresponds to the staticity of the voltage of the automatic regulators of excitation of the synchronous generators. Such a model is used in the programs for calculating the dynamic stability for the simulation of EPS at the time step of numerical integration of the differential equations of dynamics of the system. A block diagram of the algorithm for determining the maximum and unacceptable fluxes in controlled sections of the electric power system is proposed. A separate module for the automated calculation of the static stability reserve at the intersection of the EPS with a choice of certain weighting trajectories from the library was created. Trajectories weighing are prepared in a specially created editor, which provides a step-by-step change in the power of power stations and electrical loads in different parts of the mathematical model of the power system and the change of the angle of the EMF generators. Calculations were made to determine the boundary power at the cross sections of the UES of Ukraine for a scheme containing 614 nodes and 975 branches.