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Ideal winding defining an electro-magnetic interface
Magnetic
The Winding forms the interface between the electrical and the magnetic domain. A winding of N turns is described with the equations:
where and
are voltage and current at its electrical terminals.
is the
magneto-motive force (MMF) and
is the rate-of-change of the magnetic flux
through the winding. The left-hand side of the equations above refers to the electrical
domain, the right-hand side to the magnetic domain.
A current entering the winding at the marked terminal is counted as positive; a magnetic flux entering at the marked terminal is counted as negative. The potentials of both voltage and MMF are considered positive at the marked terminal.
Because the Winding converts through-quantities ( resp.
) in one domain
into across-quantities (
resp.
) in the other domain, it is implemented as a
gyrator, in which
is the gyrator resistance.