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There is a lot more that I can't easily transcribe (equations and words). The gist that I get is that the stator load current flows to match/cancel the mmf of the rotor load current. But since the stator is not skewed, it cannot possibly cancel the axially-varying component of the rotor mmf. This extra uncanceled component of mmf on top of the normal airgap exciting mmf apparently leads to saturation.The Induction Machine Handbook section 4.13
The term outside the square brackets in (4.62) is zero if there is no skewing. Consequently the term inside the square brackets is the compensated or the magnetizing mmf which tends to be small ....and thus the skewing s small and the angle..
Therefore, we define F2skew by (4.63) [not transcribed]
the uncompensated rotor-produced mmf, which is likely to cause large airgap flux densities varying along the stator stack length at standstill (and large slip) when the rotor currents (and F2m) are large. Thus, heavy saturation levels are expected along main flux paths in the stator and rotor core at standstill as a form of leakage flux, which strongly influences the leakage inductances as shown later in this book.