The next formula is used to calculate the inductance to be used in a filter. This values depends on the filter coefficient, the used capacitor, the output current and also the frequency of the AC applied to the filter.
Formula 1
Filter inductance:
Where:
L is the inductance in henrys (H)
α is the filter coefficient
ω = 2 x π x f , where f is the frequency in hertz (Hz)
C is the capacitance in farads (F)
Note: We can define the quantity η as the filter efficiency and the value is given by the following formula:
Formula 2
Efficiency:
η = 1 / α
Where:
α is the filter coefficient
η is the filter efficience