PROCEDURE FOR COMPUTATION OF TRANSIENT PROCESSES IN COMPLEX ELECTRIC NETWORKS WITH DISTRIBUTED PARAMETERS

摘要

FIELD: electrical engineering. SUBSTANCE: obtained formulas enable transient process to be implemented in any nodal point of complex electric network, in particular, in long lines. Section of network can have any length as proper relations are obtained by precision integration. Apart from this nodal load with any complex resistance can be accounted which enhances efficiency of proposed procedure. In correspondence with proposed procedure boundary-value problem of finding of presentation of boundary currents through presentation of boundary voltages is solved for separate sections of network with constant characteristics for which differential equations Laplace transform can be applied. Then Kirchoff equations expressing condition of equality of sum of currents coming to nodal point to zero are formulated and later one plots amplitude-phase-frequency characteristics supposing p=iω. Finally transient process for nodal point of electric network is formulated by plotted amplitude--phase- frequency characteristic by formula of numerical integration which is equivalent to inverse Laplace transform, where ReU(iω) is real part of amplitude-phase-frequency characteristic. EFFECT: possibility of usage of obtained procedure for complex electric networks. 4 dwg