Abstract
In this chapter we discuss some transient phenomena in simple electrical circuits (resistive, inductive, capacitive), as an introduction to the later chapters on (local) stability and dynamics of electrical machines and drives.
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Notes
- 1.
Please analyse the case in which \(4L<R^{2}C\) and \(4L>R^{2}C\) and, in particular, the case in which \(R=0\).
- 2.
Can you also find a Dirac function in the voltage?
- 3.
This is only the transient solution. For other problems (e.g. switching on a sinusoidal excitation) steady-state solutions should be considered separately. Even with a non-zero current in the coil, however, the induction outside the coil is negligible because of the high iron permeability.
- 4.
The edges are excluded as the sum is not uniformly convergent for \(t=0\).
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Melkebeek, J.A. (2018). Transient Phenomena in Simple Electrical Circuits. In: Electrical Machines and Drives. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-72730-1_24
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DOI: https://doi.org/10.1007/978-3-319-72730-1_24
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-72729-5
Online ISBN: 978-3-319-72730-1
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