Autors: Georgiev, Z. D., Trushev, I. M., Chervenkov, A. G.
Title: Laplace Transform Method to Transient Analysis in Magnetically Coupled Electrical Circuits
Keywords: magnetically coupled circuit;Laplace transformation

Abstract: In this work, transient processes in magnetically coupled circuits are analyzed using the Laplace transform method (operator method). The advantages of the operator method based on the extended Laplace transform analysis are emphasized. In this case it is only necessary to introduce the just prior to switching initial values of the currents through the coils (inductors) and the voltages on the capacitors. It is shown how an analysis of magnetically coupled coils can be carried out by studying a converted circuit without inductive couplings Two examples with different values of the magnetic coupling coefficient M are considered. The results of the analytical solution by operator method and the numerical solution are identical.


  1. Brandiski K., Georgiev Zh, Mladenov V. and Stanmcheva R., 2008, Theoretical electrical engineering, vol. 2, Sofia, King
  2. Jonkin P.A, 1978, Theoretical electrical engineering vol. 1, Moscow, Vischaia shkola
  3. Bessonov L. A., 1999, Theoretical electrical engineering. Electrical curcuits, Moscow, Gardariki
  4. Alexander C. and Sadiku M., 2013, Fundamentals of Electric Circuits, NY, McGraw-Hill Higher Education
  5. Hayt W.H., Kemmerly J.E. and Durbin S. M., 2011, Engineering Circuit Analysis, NY, McGraw-Hill Education
  6. Georgiev Zh., Chervenkov A and Trushev I., 2023, Classical Approach to Transient Analysis in Magnetically Coupled Electircal Circuits, 2023 International Scientific Conference on Computer Science (COMSCI), Sozopol, Bulgaria, 18-20 September 2023, Sozopol, Bulgaria, <doi: 10.1109/COMSCI59259.2023.10315797.>, IEEE


2023 International Scientific Conference on Computer Science (COMSCI), 2023, Bulgaria, IEEE, DOI 10.1109/COMSCI59259.2023.10315852

Вид: публикация в международен форум, индексирана в Scopus