Non-stationary modes of electric networks

Abstract

Ensuring energy efficiency and solving problems of energy saving of power supply systems is impossible without forecasting the state of energy sources and elements of the electric network. Distribution networks consist of a set of elements whose parameters follow stochastic regularities and collectively organize a nonlinear dynamic system with parameters that depend on and do not depend on the mode. Description of networks requires the involvement of higher mathematics in conjunction with modern hardware and software of computer technology. The article is devoted to modeling of non-stationary modes of operation of multi-node electric networks with a large number of degrees of freedom and a high order of differential equations describing the processes under study in the model under consideration. The influence of such factors on transients as abrupt changes in the load of consumers, disconnection-connection of one of the voltage sources, short circuits on the consumer side, stability of the oscillatory process is considered. On the example of a 6-node circuit with 3 alternating voltage sources and 6 consumers, the nature of changes in the generated electrical power of the sources is analyzed. The system of differential equations corresponding to the scheme under study is solved by numerical methods. The proposed approach allows us to evaluate the efficiency of the power supply network while maintaining the mode parameters and predict the possibility of undesirable overloads during short circuits and conditions for exceeding variables that determine the practical stability of the system.