Basic electronic structures

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PWM: amplitude [0; V_in], period T, duty cycle $α$

Continuous conduction when: $I_{o u t} \geq \frac{n_{1}}{n_{2}} \frac{(1 - α) . α . T . V_{i n}}{2 L_{1}}$

Discontinuous conduction when: $I_{o u t} < \frac{n_{1}}{n_{2}} \frac{(1 - α) . α . T . V_{i n}}{2 L_{1}}$

Continuous conduction: $V_{o u t} = \frac{n_{2}}{n_{1}} \frac{α}{1 - α} V_{i n}$

Discontinuous conduction: $V_{o u t} = \frac{α^{2} . T . {V_{i n}}^{2}}{2 L_{1} . I_{o u t}}$