Magnetic Flux Linkage

Magnetic Flux Linkage

 

in electrical technology, the total magnetic flux Ψ linked with a particular circuit.

In essence, the magnetic flux linkage always has the same value as the flux in the integral definition:

ϕ = ∫ B̄ dS̄ = ψ

where is the magnetic induction vector and is the surface bounded by the circuit for which the magnetic flux linkage is being determined. The above statement is also valid for a multiturn inductance coil whose series-connected turns form a single circuit (Figure 1).

Figure 1

In this case, the total flux, or the flux linkage, is

where k= (1, …, w) numbers the turns with which the flux Φk is coupled. In the simplest case, for example, for a uniformly wound toroid, Ψ = w*Φ, where Φ is the flux through the transverse cross section of the magnetic circuit, or core.

References in periodicals archive ?
Thus, the current density is consistent, and the [pi][x.sup.2]/ [pi][r.sup.2] has a magnetic flux linkage that can be written as
Caption: Figure 4: Concentric magnetic field of the external magnetic flux linkage.
where [T.sub.PWM] is the sampling period, [g.sub.j(k)] is calculated according to (7) and [[psi].sub.j(N)] is the calculated magnetic flux linkage for the measurement cycle N.