The article presents the basic principles of a differential harmonic method for the numerical calculation of transient and steady-state periodic processes in nonlinear electric circuits and devices with vibrations caused by periodic external forces. There is the diagram of conversion of differential equations, describing electric circuits and devices and operating with their instant variables, to differential equations operating with the harmonic amplitude vectors, given in the article. It is shown how to obtain the amplitude values of the vectors of harmonics in periodic steady-state processes and their dependences on the time in transients by numerical methods.
- L. Glukhivskyi, Calculation of periodic processes of electric devices (differential harmonic method). Lviv, Ukraine: Vyshcha shkola, 1984. – 164 p. (Russian)
- L. Glukhivskyi, Periodic Nonlinear Processes in Electric Engineering (differential harmonic method and its software). Кyiv, Ukraine: Alfa P&K, 2005. (Ukrainian)
- L. Glukhivskyi, Nonlinear oscillations: numeri-cal polyharmonic simulation. Кyiv, Ukraine: Alfa P&K, 2008. (Ukraine)
- L. Glukhivskyi, “Simulation of transients in nonlinear electric circuits by harmonic differential method,” Electrychni na elektromekhanichni systemy, no. 736, p. 21, Lviv, Ukraine: Lviv Polytechnic National University, 2012. (Ukrainian)
- L. Glukhivskyi, “The issue of calculating transients in nonlinear electric circuits by harmonic differential method,” Electrychni ta elektromekhanichni systemy, no. 763, p. 19-26, Lviv, Ukraine: Lviv Polytechnic National University, 2012. (Ukrainian)
- V. Perkhach, Mathematical problems of electric power. – Lviv, Ukraine: Lviv State Uuniversity, 1989. (Ukrainian)
- http://www.nbuv.gov.ua/books/2008/08gljcpm.pdf (Ukrainian)