If there is a single in-service transformer in the power system, only an AC component will be included in the transformer flux linkage
. [[psi].sub.1DC] is generated due to the other energized transformer.
The flux linkage
([psi]) in the flux current method of rotor position is estimation is calculated from the understanding of voltage (v) and phase current (i) of an energized phase of the SRM using the following relationship (1).
These states include current, flux linkage
, and rotor speed.
Compared with (11), [E'.sub.d] and [E'.sub.q] have a linear relationship with flux linkage
, whereby the angular frequencies [[omega].sub.s], [u'.sub.dr], and [u'.sub.qr] are excluded.
The flux linkage
area determines the permeance (inverse of reluctance) in the magnetic circuit and thereby the torque producing capability.
where p is the number of pole pairs, [[psi].sub.d], [[psi].sub.q], [i.sub.d] and [i.sub.q] are the d and q components of the flux linkage
and current respectively.
The variables are d-axis components in the rotor reference frame and [[PSI].sub.af] denote the flux linkage
of the rotor magnet without stator current.
Knowing the initial position, machine parameters, and the relationship of flux linkage
to rotor position, the rotor position is estimated.
In terms of the order component for flux linkage
, the harmonic orders exhibited by torque ripple will tend to be higher as the end of the stator lengthens.
Ertugrul, "Wide Speed Range Sensorless Operation of Brushless Permanent-Magnet Motor Using Flux Linkage
Increment," IEEE Transactions on Industrial Electronics, vol.
The changing flux linkage
induces a different voltage at any point of the bar along its length.
where [[[u.sub.[alpha]] [u.sub.[beta]]].sup.T] is the stator voltage, [[[i.sub.[alpha]] [i.sub.[beta]]].sup.T] is the stator current, [R.sub.s] is the stator resistance, and [[[psi].sub.[alpha]] [[psi].sub.[beta]]].sup.T] is the flux linkage