<P> Using these notations, we have: </P> <Ul> <Li> in continuous mode, V o = − D 1 − D (\ displaystyle \ scriptstyle \ left V_ (o) \ right = - (\ frac (D) (1 - D))); </Li> <Li> in discontinuous mode, V o = − D 2 2 I o (\ displaystyle \ scriptstyle \ left V_ (o) \ right = - (\ frac (D ^ (2)) (2 \ left I_ (o) \ right))); </Li> <Li> the current at the limit between continuous and discontinuous mode is I o lim = V i T 2 L D (1 − D) = I o lim 2 I o D (1 − D) (\ displaystyle \ scriptstyle I_ (o_ (\ text (lim))) = (\ frac (V_ (i) \, T) (2L)) D \ left (1 - D \ right) = (\ frac (I_ (o_ (\ text (lim)))) (2 \ left I_ (o) \ right)) D \ left (1 - D \ right)). Therefore the locus of the limit between continuous and discontinuous modes is given by 1 2 I o D (1 − D) = 1 (\ displaystyle \ scriptstyle (\ frac (1) (2 \ left I_ (o) \ right)) D \ left (1 - D \ right) = 1). </Li> </Ul> <Li> in continuous mode, V o = − D 1 − D (\ displaystyle \ scriptstyle \ left V_ (o) \ right = - (\ frac (D) (1 - D))); </Li> <Li> in discontinuous mode, V o = − D 2 2 I o (\ displaystyle \ scriptstyle \ left V_ (o) \ right = - (\ frac (D ^ (2)) (2 \ left I_ (o) \ right))); </Li>

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