Flux Linkage Report¶
The MagneticFluxLinkageReport computes the magnetic flux linkage for a
coil.
The flux linkage quantifies the total magnetic flux linked with a coil due to
its own current and the currents in other coils.
What Is Flux Linkage?¶
The magnetic flux linkage is defined as
\[
\Psi = \int_S \mathbf{B} \, \mathrm{d}S \quad.
\]
Here \(\Psi\) [Wb] is the flux linkage, \(\mathbf{B}\) [T] is the magnetic flux density, and \(S\) is the surface enclosed by the coil winding.
The flux linkage plays a central role in computing induced voltage in the coil via Faraday’s law:
\[
V = \frac{\mathrm{d} \Psi}{\mathrm{d}t}.
\]
The total magnetic energy stored in the system can also be expressed using flux linkage:
\[
W = \frac{1}{2} \sum_i \Psi_i I_i
\]