Thevenin equivalent of a half-wave rectifier

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SUMMARY

The discussion focuses on determining the Thevenin equivalent of a half-wave rectifier with a filter, specifically addressing the equivalent voltage and output impedance. Participants clarify that the Thevenin voltage should be calculated as the mean voltage across the load over one cycle, despite the non-steady nature of the output. The conversation highlights the importance of understanding the effects of load resistance on voltage ripple and the concept of loading in circuit design. Additionally, it emphasizes that Thevenin equivalents may not always be practical in real-world applications.

PREREQUISITES
  • Understanding of half-wave rectifiers and their operation
  • Familiarity with Thevenin's theorem and equivalent circuits
  • Knowledge of AC and DC voltage characteristics
  • Basic concepts of impedance and loading in electrical circuits
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  • Study the calculation of mean voltage in half-wave rectifiers
  • Learn about the impact of load resistance on voltage ripple
  • Explore Thevenin's theorem applications in circuit analysis
  • Investigate the design of circuits with high fanout capabilities
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Electrical engineering students, circuit designers, and anyone interested in understanding the practical applications of Thevenin equivalents in rectifier circuits.

freemind
[SOLVED] Thevenin equivalent of a half-wave rectifier

Hello folks,

I'm trying to wrap my head around the process of reducing a half-wave rectifier (w/ filter) with an AC input into a simple Thevenin circuit with a DC equivalent voltage. My brain seems to be stuck in "but the input is not DC!" mode. What would the equivalent voltage be? I'm thinking it's the mean voltage across the load (assuming an ideal diode, with 0 resistance), but I don't see why it can't be RMS. The output impedance is not as tricky a concept, as it's simply the impedance of the capacitor, but the Thevenin voltage is giving me grief.

Thanks.
 
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I can't quite imagine what exactly your circuit looks like. If your caps are filtering does that mean you are choking the input? or is it just a resevoir cap at the end of the DC input?

Either way I think I understand your confusion. A half wave rectifier crapily converts AC to DC as in it only allows positive voltages. A half wave rectifier doesn't produce a steady DC current, which is what you must be imagining. If the circuit is just an AC source, a diode, and a capacitor it might actually just be a primitive steady voltage source, with the capacitor discharging from peak to peak.
 
Last edited:
elhinnaw, your guess was right on. My apologies for not being clear.
Yes, the sole capacitor would be connected in parallel to any given resistive load, but even with insanely high capacitance (and resistance), the voltage still would not be steady enough to warrant an approximation with a single DC source. However, my TA has told me to take the mean voltage across the load over one cycle to be the equivalent Thevenin voltage[1]. I don't understand why, but I'll do it anyway if he says so. I mean, isn't the voltage ripple affected by the load resistance?

Thanks a ton for your reply though.

[1] That sure is one tedious series of integrations.
 
A few things to remember from my experience with electronic texts:

DC just means always positive voltage.

Thevenin equivalent circuits are useless.

In the field of electronic engineering, I could be so wrong its laughable, In my experience with electronics, a Thevenin equivalent never been needed. When I need to break down a circuit I did it through my own logical ideas.

As far as your loading question goes, in theory every resistive load affects the voltage source. Its what's called "loading." But standard practice from what I learned is anything less than 1%-10% loading is considered acceptable.

The fancy part of circuit design (or being an EE) is that you can design circuits that can have a huge fanout. The circuit in this case does not have a good fanout, which is why you will never see that circuit in use.

I think its kind of a stupid question to assign, personally. Its much more important to know the theory behind what's going on.
 
Thanks for the insight! It's much clearer now.
 

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