International audienceThe local laws of electromagnetism are derived from the optimization of the global mechanical power exchanged throughout the electrical network. Two kinds of devices are identified: (i) those dedicated to power conversion; and their (ii) couplings involved in transmission lines, distribution busways, cablings and connections. While the finite element method appears to be the natural design tool in the former, the so-called PEEC method is the more suitable in the latter. Its recent improvements are reviewed within the low-frequency framework including (i) back emf of ferromagnetic materials (shielding); (ii) optimization methods to reduce Joule losses or flux density levels; and (iii) integration into a CAE package
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