Nonlinear magnetic circuit – self inductance definitions, passivity and waveforms distortion

• Autorzy: Spałek Dariusz

Identyfikatory

DOI

10.24425/bpasts.2022.141003

• Języki publikacji: EN

Abstrakty

EN

The generalized magnetizing curve series for the nonlinear magnetic circuit is proposed. Subsequently, three definitions of self-inductance for the nonlinear magnetic circuit are compared. The passivity of the magnetic circuit is reconsidered. Three theorems that describe features of Fourier harmonics of distorted waveforms have been proved.

Słowa kluczowe

EN

generalized magnetizing curve; nonlinear magnetic circuit; self-inductance definitions; passivity; Fourier harmonics of distorted waveforms

PL

krzywa magnesowania uogólniona; obwód magnetyczny nieliniowy; definicja samoindukcyjności; pasywność; szereg Fouriera; zniekształcenie harmoniczne

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2022
• Tom: Vol. 70, nr 3
• Strony: art. no. e141003
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Spałek Dariusz

• Silesian University of Technology, Electrical Engineering Faculty, Akademicka 10, 44-100 Gliwice, Poland

• https://orcid.org/0000-0002-0237-2583

Bibliografia

• [1] D. Spałek, “Theorems about higher harmonics of distorted waveform,” 5-th Slovak and Tschech International Conference Sensor and Sensors System, Presov, Slovakia, 1994, pp. 58–63, [in Polish].
• [2] D. Spałek, “Fourier series of nonlinear magnetic circuit magnetizing currents,” Elektryka, Silesian University of Technology, vol. 154, pp. 101–108, 1996, [in Polish].
• [3] D. Spałek, “Two relations for generalized discrete Fourier transform coefficients,” Bull. Pol. Acad. Sci. Tech. Sci., vol. 66, no. 3, pp. 275–281, 2018, doi: 10.24425/123433.
• [4] S. Bolkowski, Electric circuit theory, WNT, Warsaw, 1995, [in Polish].
• [5] B.S. Guru and H.R. Hiziroglu, Electromagnetic field theory fundamentals, University Press, Cambridge, 2004.
• [6] R.S. Ingarden and A. Jamiołkowski, Classical electrodynamics, Elsevier-PWN, Warsaw, 1985.
• [7] I. Białynicki-Birula and Z. Białynicka-Birula, Quantum Electrodynamics, Pergamon Press, 1975.
• [8] S. Hui and S.H. Żak, “Discrete Fourier transform and permutations,” Bull. Pol. Acad. Sci. Tech. Sci., vol. 67, no. 6, pp. 995–1005, 2019, doi: 10.24425/bpasts.2019.130874.
• [9] P. Kapler, “An application of continuous wavelet transform and wavelet coherence for residential power consumer load profiles analysis,” Bull. Bull. Polish Acad. Sci. Tech. Sci., vol. 69, no. 1, e136216, 2021, doi: 10.24425/bpasts.2020.136216.
• [10] H. Yi, Y.-L. Ru, and Y.-Y. Dai, “Time invariant property of weighted circular convolution and its application to continuous wavelet transform,” Bull. Polish Acad. Sci. Tech. Sci., vol. 69, no. 4, e137726, 2021, doi: 10.24425/ bpasts.2021.137726.
• [11] K. Kuratowski, Differential and integral calculus, PWN, Warsaw, 1978, [in Polish].
• [12] I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, Seventh Edition, Elesevier, 2007.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).