# Help With Paper Calculation for Peak Rectifier Design Problem

I am tasked with designing a circuit for the following particulars:

A peak rectifier will be used as part of a DC power supply to supply an average DC output voltage of 15V, with maximum +/- 1V ripple. The load is 150 Ohms and the rectifier is fed from a 120 V, 60 Hz source after passing through a transformer. The diodes have 0.7 V drop when conducting.

I decided to use a half-wave rectifier, and now I need the voltage seen by the circuit after it passes the transformer. Since the windings of the transformer are not specified, I thought a possible way to do this might be to use the given average load voltage, and solve for the rms value of the source seen by the circuit, since VLavg should = the average of the source - the diode drop integrated over the conduction interval.

As such, I obviously needed to find the conduction interval, but I ran into a problem: I need the rms source voltage I'm trying to find to calculate the conduction interval.

Would solving for the conduction interval in terms of the source voltage that I want be sufficient, and then integrating as I wanted to, or is there a simpler method based on the specifications that I have ignored?

EDIT: Thought I might add my circuit to date for clarity. Note that the diode is assumed to have a constant 0.7V drop. simulate this circuit – Schematic created using CircuitLab

• If you want 15V +/-1V you could assume the peak o/p voltage will be 16V and therefore before the rectifier it will be about 16.7Vpk. This will be a sinewave of RMS value 11.8V (11.8 x sqrt(2) = 16.7V). Does this help? You could also assume that the capacitance voltage decay over a full cycle is 2V (from 16V to 14V) and this is approximately linear and due to the load. The supply will perform better than this slightly BUT why not simulate it and therefore find the exact value you need for the transformer turns ratio. Given variations in the supply feed you might need a voltage regulator. – Andy aka Jun 3 '13 at 12:47
• Ahh yes, of course! That makes sense. I was trying to figure out how to get an intermediate voltage that would allow me to conclude the RMS value. I will also simulate it later, but I was hoping to be able to nail down a paper approximation first. Your reasoning makes sense to me, I wish I could upvote it! Thanks! – Rome_Leader Jun 3 '13 at 12:55