Please, if you could explain me why on step-up (boost) converter the sign of the t-off voltage part is positive in the following equation:
Vd * tOn + (Vd - Vo) * tOff = 0
I thought that the difference between (Vd - Vo) is positive (otherwise the diode would be off) and this justifies the above equation but if (Vd - Vo) is positive, the current in the inductor during the tOff period would increase and not decrease.
Thank you in advance.
Source: https://en.wikipedia.org/wiki/Boost_converter Book: Mohan, Ned; Undeland, Tore M.; Robbins, William P. (2003). Power Electronics. Hoboken: John Wiley & Sons, Inc. ISBN 978-0-471-42908-1.