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Ripple Current and Voltage

The AC components superimposed on the DC output. For an inductor LL and capacitor CC, the ripple voltage (ΔV\Delta V) and current (ΔI\Delta I) are critical design parameters, often related by ΔV≈LCΔIVout\Delta V \approx \frac{L}{C} \frac{\Delta I}{V_{out}}.
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The statement of the theorem

For an inductor LL and capacitor CC operating under a voltage ripple ΔV\Delta V and current ripple ΔI\Delta I, the fundamental relationships are derived from the governing differential equations:\nΔV≈LCΔIVout (Approximation for ΔV based on ΔI and L/C ratio)\Delta V \approx \frac{L}{C} \frac{\Delta I}{V_{out}} \text{ (Approximation for } \Delta V \text{ based on } \Delta I \text{ and } L/C \text{ ratio)}\nΔI=Vout⋅DL⋅(1−D) (Approximation for ΔI based on Vout and D ratio)\Delta I = \frac{V_{out} \cdot D}{L} \cdot (1 - D) \text{ (Approximation for } \Delta I \text{ based on } V_{out} \text{ and } D \text{ ratio)}
Source: Wikipedia