Gyrator-capacitor model

Magnetic circuits
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Conventional magnetic circuits
Magnetomotive force ${\mathcal {F}}$ Magnetic flux $\Phi$ Magnetic reluctance $\mathcal R$
Phasor magnetic circuits
Complex reluctance $Z_\mu$
Related concepts
Magnetic permeability $\mu$
Gyrator-capacitor model variables
Magnetic impedance $z_\mathrm{M}$ Effective resistance $r_\mathrm{M}$ Magnetic inductivity $L_\mathrm{M}$ Magnetic capacitivity $C_\mathrm{M}$
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This article is about modeling the magnetic field in magnetic components such as transformers and chokes. For the circuit element, see Gyrator.

The gyrator-capacitor model ^[1] is a lumped-element model for magnetic fields, similar to magnetic circuits, but based on using elements analogous to capacitors (see magnetic capacitance) rather than elements analogous to resistors (see magnetic reluctance) to represent the magnetic flux path. Windings are represented as gyrators, interfacing between the electrical circuit and the magnetic model.

The primary advantage of the gyrator-capacitor model compared to the magnetic reluctance model is that the model preserves the correct values of energy flow, storage and dissipation. The gyrator-capacitor model is an example of a group of analogies that preserve energy flow across energy domains by making power conjugate pairs of variables in the various domains analogous.

References

↑ D.C. Hamill (1993). "Lumped equivalent circuits of magnetic components: the gyrator-capacitor approach". IEEE Transactions on Power Electronics. 8 (2): 97–103. doi:10.1109/63.223957.

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Gyrator-capacitor model

See also

References