Precisely so. The forward/backward change point is when the duty cycle is 50%, i.e. half way down the sloping part of the V(inv) waveform in post #54. Anything above 50% is 'forward' and anything below 50% is 'backward'. 50% does not mean 'half power' in this instance. Power increases from zero when duty cycle moves away from 50%, in either direction.We want to detect when the motor is energised in a 'backwards' direction - that is, when polarity changes. That is when the relay needs to switch the coil around.
The relay shown is only switching the field coil.
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