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Engineering Mathematics I pp 13–31Cite as

On the Use of Analytical Methods in Electromagnetic Compatibility and Magnetohydrodynamics

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 178))

Abstract

The paper deals with the use of analytical methods for solving various integro-differential equations in electromagnetic compatibility, with the emphasis on the frequency and time domain solutions of the thin wire configurations buried in a lossy ground. Solutions in the frequency domain are carried out via certain mathematical manipulations with the current function appearing in corresponding integral equations. On the other hand, analytical solutions in the time domain are undertaken using the Laplace transform and Cauchy residue theorem . Obtained analytical results are compared to those calculated using the numerical solution of the frequency domain Pocklington equation, where applicable. Also, an overview of analytical solutions to the Grad–Shafranov equation for tokamak plasma is given.

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Authors and Affiliations

  1. Department of Power Engineering, University of Split, FESB, R. Boskovica 32, 21000, Split, Croatia

    Silvestar Šesnić

  2. Department of Electronics, University of Split, FESB, R. Boskovica 32, 21000, Split, Croatia

    Dragan Poljak

Authors
  1. Silvestar Šesnić
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  2. Dragan Poljak
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Correspondence to Silvestar Šesnić .

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Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Šesnić, S., Poljak, D. (2016). On the Use of Analytical Methods in Electromagnetic Compatibility and Magnetohydrodynamics. In: Silvestrov, S., Rančić, M. (eds) Engineering Mathematics I. Springer Proceedings in Mathematics & Statistics, vol 178. Springer, Cham. https://doi.org/10.1007/978-3-319-42082-0_2

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