Comparing Max. Voltage of Complex Waveforms in Excel and Simulation

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Discussion Overview

The discussion revolves around the differences in maximum voltage readings of complex sine waveforms obtained from Excel and a simulation for an RLC circuit. Participants explore the circuit details and the implications of measuring voltages across different components.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant notes a discrepancy between the maximum voltage of a complex waveform in Excel (106.8V) and in simulation (126.8V) and questions which is correct.
  • Another participant requests more details about the circuit to facilitate analysis and comparison.
  • Participants provide the circuit details, including the voltage function and component values (R, L, C) for an RLC series circuit with a frequency of 50Hz.
  • Clarification is sought regarding which voltage is of concern: the total supply voltage or the voltage across specific components.
  • One participant specifies that they are interested in the output voltage from the capacitor, leading to further questions about reference points for voltage measurement.
  • Another participant emphasizes that the voltage of interest is directly across the summed voltage supplies, suggesting that other components may not affect the maximum voltage issue.
  • A mathematical function representing the voltage is presented, with a suggestion to find the maximum absolute value of the function to determine peak voltages.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of circuit components to the maximum voltage readings, and there is no consensus on which voltage measurement is correct or how to resolve the discrepancies between Excel and simulation results.

Contextual Notes

The discussion highlights potential ambiguities in voltage measurement across circuit components and the need for clarity on reference points. The mathematical approach to finding voltage maxima is also noted but remains unresolved.

Cooler
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Hi...i have question on RLC circuit. Why my max.voltage of complex sinewave in Excel is different from the simulated complex waveform? which one is right?

max.voltage of complex waveform in excel = 106.8V

max.voltage of complex waveform in simulation = 126.8V

Should it be the same?
 
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Cooler said:
Hi...i have question on RLC circuit. Why my max.voltage of complex sinewave in Excel is different from the simulated complex waveform? which one is right?

max.voltage of complex waveform in excel = 106.8V

max.voltage of complex waveform in simulation = 126.8V

Should it be the same?

Can you provide more details about the circuit so we can do analysis and compare?
 
v = 110sinωt + 22sin(3ωt + 50⁰) + 5.5sin(5ωt - 35⁰)

R = 25 , L = 100mH , C = 11.3uF ...in RLC series circuit

Freq = 50Hz


that are the details of the circuit...
 
Cooler said:
v = 110sinωt + 22sin(3ωt + 50⁰) + 5.5sin(5ωt - 35⁰)

R = 25 , L = 100mH , C = 11.3uF ...in RLC series circuit

Freq = 50Hz


that are the details of the circuit...

Which voltage are you concerned with? The voltage that is the sum of the supply voltages (your v above), or a voltage measured across one or more of the circuit components? If the latter, which component(s)?
 
the voltage I am concerned with is the output voltage (the last voltage coming out through all the components)...with all the voltages connected (in series) in one circuit.
 
Cooler said:
the voltage I am concerned with is the output voltage (the last voltage coming out through all the components)...with all the voltages connected (in series) in one circuit.

Hmm. I'm afraid that doesn't make things clear to me. What is the last voltage coming out of a series circuit? Where's the end of a circle?

I've attached a figure of the circuit diagram for a series RLC circuit driving by three voltage sources. I've placed labels a,b,c,d at various points in the circuit path. Suppose we can measure the voltage between any chosen pair of labels (ab, ac, ad, bc, bd,...). Which pair represents the voltage that you're interested in?
 

Attachments

  • Fig_RLC.jpg
    Fig_RLC.jpg
    6.3 KB · Views: 518
the voltage I am after is at 'a'...the voltage coming out from the capacitor which is the output voltage waveform
 
Cooler said:
the voltage I am after is at 'a'...the voltage coming out from the capacitor which is the output voltage waveform

Between a and what other point? Voltage is a potential difference. What's the reference point?
 
it is the voltage at a and d...
 
  • #10
Cooler said:
it is the voltage at a and d...

Okay. So the voltage you want is directly across the summed voltage supplies. This means that the other circuit components are irrelevant to the issue because the voltage supplies alone dictate their own voltages (assuming ideal voltage supplies).

The problem then boils down to finding the maximum absolute value for the function

f(θ) = 110 sin(θ) + 22 sin(3θ + 50°) + 5.5 sin(5θ - 35°)

Note that the function is periodic since it's the sum of periodic terms. The "fundamental" period corresponds to is 2π radians for θ -- all the terms of the function complete an integer number of complete cycles over that domain. If you plot the function over this domain you will observe the peaks (see figure attached).

To find the actual values of the peaks, use whatever mathematical tools you are familiar with for finding function maxima and minima.
 

Attachments

  • Fig2_RLC.jpg
    Fig2_RLC.jpg
    20.5 KB · Views: 491

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