Magnetic inductance

The gyrator–capacitor model 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 gyrator–capacitor model 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. Magnetic effective resistance (SI unit: Ω−1) is the real component of complex magnetic impedance. This causes a magnetic circuit to lose magnetic potential energy. Active power in a magnetic circuit equals the product of magnetic effective resistance r M {displaystyle r_{mathrm {M} }} and magnetic current squared I M 2 {displaystyle I_{mathrm {M} }^{2}} . P = r M I M 2 {displaystyle P=r_{mathrm {M} }I_{mathrm {M} }^{2}} The magnetic effective resistance on a complex plane appears as the side of the resistance triangle for magnetic circuit of an alternating current. The effective magnetic resistance is bounding with the effective magnetic conductance g M {displaystyle g_{mathrm {M} }} by the expression where z M {displaystyle z_{mathrm {M} }} is the full magnetic impedance of a magnetic circuit. In a magnetic circuit, magnetic inductance (inductive magnetic reactance) is the analogy to inductance in an electrical circuit. In the SI system, it is measured in units of -Ω−1. This model makes magnetomotive force (mmf) the analog of electromotive force in electrical circuits, and time rate of change of magnetic flux the analog of electric current.