MATHEMATICAL MODEL OF THREE-PHASE LINE WITH DISTRIBUTED PARAMETERS AT ELECTROMAGNETIC TRANSITION PROCESSES

Abstract

Development of a mathematical model of a three-phase line with distributed parameters at electromagnetic transients, which arise at different commutations for the calculation of transition modes at the design stage. The work is based on differential equations of chain state, limiting and initial conditions for ensuring the solution of practical problems. A mathematical model has been developed for the calculation of electromagnetic transients in three-phase lines, which includes a system of partial differential equations, limit and initial conditions, for the study of a wide class of practical problems related to the calculation of transients in three-phase lines. A mathematical model of a three-phase circuit with distributed parameters has been built, which is suitable for the calculation of transient electromagnetic processes, which take into account possible switching options, both working and emergency ones. Operator images of currents and voltages were obtained taking into account the initial conditions for solving practical problems associated with the calculation of transients in three-phase lines.