Calculate the duty ratio(d) in percentage required for operating in this configuration as specified below. Specifications: Po = 10W Vo = 10V Vi = 8V Fsw = 10kHz Inductor Current ripple (max-min considered) <= 10% of load current Output Voltage ripple <= 1% of output voltage
Question
Calculate the duty ratio(d) in percentage required for operating in this configuration as specified below. Specifications: Po = 10W Vo = 10V Vi = 8V Fsw = 10kHz Inductor Current ripple (max-min considered) <= 10% of load current Output Voltage ripple <= 1% of output voltage
Solution
The duty ratio (d) for a buck converter can be calculated using the formula:
d = Vo / Vi
where Vo is the output voltage and Vi is the input voltage.
Given that Vo = 10V and Vi = 8V, we can substitute these values into the formula:
d = 10V / 8V = 1.25
However, the duty ratio cannot be greater than 1. This suggests that there may be a mistake in the given specifications. The input voltage should be greater than the output voltage for a buck converter.
If we assume that there was a mistake and the input voltage is actually greater than the output voltage (for example, Vi = 12V), then the duty ratio would be:
d = 10V / 12V = 0.833
To convert this to a percentage, we multiply by 100:
d = 0.833 * 100 = 83.3%
So, the duty ratio required for operating in this configuration would be 83.3% if the input voltage is 12V.
Please check the given specifications and make sure that the input voltage is greater than the output voltage.
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