Inductance is proportional to turns^2 while resistance is proportional to turns. So a 1% change in series turns (due to shorted turns) might cause a 2% change in inductance (more sensitive) and a 1% change in resistance.
Magnetic properties are highly non-linear (and not just in the saturation range as many thing), so value depends on voltage, but this does not affect phase comparison approaches at a single voltage.
There is one factor to be aware of. When you deenergize an induction motor stator, the rotor current is exponentially decaying dc in the rotor reference frame. That leaves a residual magnetism in the rotor. We can see the effects of rotor residual magnetism in a number of ways:
1 – rotate the rotor by hand with the motor deenergized and you will see a few hundred millivolts on an oscilloscope. Handy for rotation test of large motors where you can’t accelerate them from rest fast enough to get a distinct first deflection direction with standard rotation meters.
2 – surge comparison test of stator sometimes shows differences among phases when tested with rotor in. These differences go away with rotor removed.
3 – PDMA uses “rotor influence check” to look for rotor bar problems and can get false alarms due to motor residual magnetism – a whole article here
It will also affect inductance test of stator conducted for purposes of finding winding shorts as you suggest. Could perhaps be discrimiated by rotating rotor over a series of tests similar to pdma (or else testing with rotor out). Inductance testing of stator is not a standard test described in IEEE standards (unless you want to include 1410… actually under debate by the working committee at the moment whether should be include). It probably can have some use but you would need to be aware of effects of residual magnetism and consider that in your test method and/or interpretation.
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(2B)+(2B)' ?