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Steady state analysis of brushless dc motor

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Lamson

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I try to analyze the dc analysis of 3 phase motor in four quadrant .

For H bridge configuration

Top left switch : on ( on interval)
Bot right switch : on

Vc - L(di.dt) -emf = 0

Vc : source voltage

next interval ( off interval)

Bottom left switch : on
Top right switch : on

Vc - emf - L(di/dt) = 0

I also know that : delta I during on interval = delta I during off interval

I try to find the expression for ( di/dt_ during on interval and equate it to {di/dt)
during off interval :

magnitude (Vc - emf) =magnitude (- Vc - emf ) ???

Do I miss anything or make wrong assumptions ? Please help . Thanks
 

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