Direct determination of instantaneous values of periodically switched circuits based on difference equations

YILDIZ A. B.

Engineering Science and Technology, an International Journal, cilt.51, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/j.jestch.2024.101635
  • Dergi Adı: Engineering Science and Technology, an International Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, Directory of Open Access Journals
  • Anahtar Kelimeler: Analysis, Difference equation, Formulation, Instantaneous values, Switched circuits
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This paper explains how to use difference equations to directly obtain instantaneous/periodic values ​​of periodically switched circuits at a desired time. Switched circuits, by their nature, have system equations of variable nature. Differential equations used in the analysis of continuous-time systems do not allow direct access to the instantaneous values ​​of the switched circuits at any time or to their values ​​at certain multiples of the period. For the analysis of these circuits, it is necessary to obtain differential equations for each switched mode/state separately and solve these equations sequentially in the correct order. In this study, the problem of direct access to the desired instantaneous values ​​of the switched circuits is solved with the new approach proposed based on the difference equations used in discrete-time systems. By the developed formulations, the desired instantaneous values of the switched circuits at any time or the values in certain multiples of the period can be obtained directly. Therefore, solutions do not need to be started from beginning (t = 0) of the simulation. The analytical solutions of examples and the results of the developed method are compared and the accuracy of the formulations is confirmed.