Flux linkage

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Flux linkage

Flux linkage is a property of a coil of conducting wire and the magnetic field through which it passes. It is determined by the number of turns of said coil and the flux

Flux

In the various subfields of physics, there exist two common usages of the term flux, both with rigorous mathematical frameworks.*In the study of transport phenomena , flux is defined as the amount that flows through a unit area per unit time....
of the magnetic field.

Faraday stated that the magnitude of the emf generated is proportional to the rate of change of magnetic flux.

The flux linkage (measured in Vs (volt second) or weber
Weber (unit)

In physics, the weber is the SI physical unit of magnetic flux. It is named after the Germany physicist Wilhelm Eduard Weber ....
-turns) is used in mutual inductance as a measure of the linkage of an inductor

Inductor

An inductor is a Passive component Electronic component that can store energy in a magnetic field created by the electric current passing through it....
to another.

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Encyclopedia

Flux linkage is a property of a coil of conducting wire and the magnetic field through which it passes. It is determined by the number of turns of said coil and the flux

Flux

Inductor

An inductor is a Passive component Electronic component that can store energy in a magnetic field created by the electric current passing through it....
to another. It is the product of magnetic flux , and the number of turns linked by that flux. It is usually denoted as (lambda) or (psi).

The flux linkage of a winding

Electromagnetic coil

An electromagnetic coil is formed when a conductor is wound around a core or form to create an inductor or electromagnet. One loop of wire is usually referred to as a turn, and a coil consists of one or more turns....
is the time integral

Integral

Integration is an important concept in mathematics, specifically in the field of calculus and, more broadly, mathematical analysis. Given a function ƒ of a Real number variable x and an interval [a, b] of the real line, the integral...
of the voltage over the winding

Electromagnetic coil

This can also be written in differential form as

Due to this simple formula flux linkage is commonly used to estimate the magnetic flux of an AC machine

AC motor

An AC motor is an electric motor that is driven by an alternating current. It consists of two basic parts, an outside stationary stator having coils supplied with AC current to produce a rotating magnetic field, and an inside rotor attached to the output shaft that is given a torque by the rotating field....
. Due to the errors in the voltage measurement and the resulting drift problem of the integral, the integral is in practice often replaced with a low-pass filter

Low-pass filter

A low-pass filter is a electronic filter that passes low-frequency signal but attenuates signals with frequencies higher than the cutoff frequency....
approximation.