SIMULATION OF REGIMES IN THE PULSE-FORMING LINES BY OPERATOR METHOD

In this paper the application of the Laplace transform to the analysis of circuits with distributed parameters is considered. As an example pulse-forming lines based on distributed parameters lines are analyzed. Such devices are widely applied in electronics, high-voltage technology and high-current charged particle accelerators. In the above examples, both of classic methods for solving partial differential equations: Fourier method and d'Alembert method (method of travelling waves), and method based on Laplace transform of the periodic function. The detailed solution of the problem of formation of voltage pulses using circuits with distributed parameters is carried out. The repeated Laplace transform is shown to allow to pass from partial differential equations to algebraic equations and to simplify the solution of the problem. The time diagrams of the processes of charge and discharge of the line for various loads are given.