Thevenin equivalent of a half-wave rectifier

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Discussion Overview

The discussion revolves around the process of determining the Thevenin equivalent of a half-wave rectifier with a filter, focusing on the equivalent voltage and output impedance in the context of AC to DC conversion. Participants explore the implications of using mean voltage versus RMS voltage and the effects of load resistance on voltage ripple.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that the equivalent voltage for the Thevenin circuit should be the mean voltage across the load, assuming an ideal diode with zero resistance.
  • Another participant questions the nature of the circuit, noting that a half-wave rectifier does not produce a steady DC current and may only provide a primitive steady voltage source due to the capacitor discharging from peak to peak.
  • A different participant acknowledges the complexity of the situation, indicating that even with high capacitance and resistance, the voltage may not be steady enough to approximate with a single DC source.
  • One participant expresses skepticism about the utility of Thevenin equivalent circuits in practice, suggesting that they have rarely found them necessary and emphasizing the importance of understanding underlying theory instead.
  • Concerns are raised about the effect of load resistance on voltage ripple, with a participant noting that every resistive load theoretically affects the voltage source, a phenomenon referred to as "loading."

Areas of Agreement / Disagreement

Participants express differing views on the appropriateness and utility of Thevenin equivalents in this context, and there is no consensus on the best approach to determining the equivalent voltage or the implications of load resistance on the circuit behavior.

Contextual Notes

Participants mention the complexity of integrating to find mean voltage and the potential for voltage ripple to be influenced by load resistance, indicating that assumptions about circuit behavior may vary.

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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