Electrical Power Systems Technology

(Elle) #1

Direct Current Power Systems 197


The average DC voltage output can be expressed as:

4.16Idc
Vdc = Vmax – ———
C

Sample Problem:
Given: the peak AC voltage applied to a power supply is 28.2 volts.
A 500 uF filter capacitor is used.
Find: the DC output voltage when 300 mA of load current flows.
Solution:

4.16 × Idc
Vdc = Vmax – ————
C

4.16 × 300 mA
= 28.2 – ——————
500 uF

Vdc = 25.7 volts

Again, the value of Vdc is for a full-wave filter-capacitor circuit with
a light load.
With a heavier load (lower resistance) connected to the filter circuit,
more current (Idc) is drawn. As Idc increases, Vdc decreases. However, if the
value of filter capacitor C is made larger, the value of Vdc becomes closer
to that of Vmax. The value of C for a full-wave rectifier can be determined
by using the equation:

2.4 × Idc
C = ————
Vr(rms)

Sample Problem:
Given: a power supply is rated at 950 mA of load current and maxi-
mum ripple of 0.5 volts (rms).
Find: the minimum value of capacitor filter needed for a filter using a full-
wave rectifier.
Solution:

2.4 × Idc
C = ————
Vr(rms)
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