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17 Equivalent circuits

17 Equivalent circuits - Lecture 15 Equivalent Circuits and...

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Lecture 15 Equivalent Circuits and Inductance Matrix There is a perfect equivalence between magnetic and electric circuits. Recalling figures from previous lectures, let Ac be the cross-sectional area of the iron core, Ag the cross- sectional area of the air gap so that Ag>Ac. The steps to convert the magnetic circuit to its electric equivalent are as follows: 1. Identify sources of magneto motive force (mmf), which are the coils. The equivalents for these are voltage sources with magnitude Ni. Figure 1 - mmf to voltage source Note the polarity of the voltage source; it has to be consistent with the direction of the flux Φ and the current I. 2. Identify and label fluxes Φ in branches and equivalent currents I. 3. Identify branch reluctances and their equivalent resistances. 0 , c c c g g c c g l g R R A A µ µ = ℜ = = ℜ = Thus the equivalent circuit for an iron core with an air gap and a single coil would be, Es Rc Rg Figure 2 - Equivalent circuit
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4. Solve the circuit by the usual circuit analysis methods.
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