Determine the Current of R-L Circuit

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Discussion Overview

The discussion revolves around determining the current in an R-L circuit connected to a three-phase full wave rectifier. Participants explore methods for calculating the current without simplifications, considering both transient and steady state analyses, as well as the application of Fourier series for harmonic analysis.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant seeks to determine the current in an R-L circuit with specified parameters (peak voltage, resistance, inductance, frequency) without simplifications, suggesting the use of Laplace transforms or transient and steady state analysis.
  • Another participant suggests that unless one is interested in voltage peaks during transients, steady state analysis should be used.
  • A participant expresses interest in obtaining the complete response of the current and analyzing it using Fourier series to study harmonics affecting the source.
  • Another participant advises using Laplace transforms to obtain the complete response, recommending separation of transient and steady state responses and applying Fourier series only to the steady state component.

Areas of Agreement / Disagreement

Participants express various approaches to analyzing the current, with some advocating for steady state analysis and others emphasizing the importance of considering both transient and steady state responses. There is no consensus on the preferred method for analysis.

Contextual Notes

Participants have not resolved the implications of using Laplace transforms versus steady state analysis, nor have they clarified the conditions under which Fourier series should be applied. The discussion reflects differing views on the significance of transient responses in the context of harmonic analysis.

HanCie
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I want to know how to determine a current from full wave rectifier.
If I have a voltage source (full wave rectifier 3-phase) and R-L circuit.
How to calculate and determine the current of that circuit?
So I can get the equation of that current.

For calculation, let us determine that :
peak voltage 10 Volts, R = 100 ohms and L = 1 Henry, frequency = 60Hz

I've known one solution, using simplification that L is infinite.
So current is squre function. But now I don't want to use any simplifications.

Using laplace transform or transient & steady state?
Thanks.
 
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HanCie said:
I want to know how to determine a current from full wave rectifier.
If I have a voltage source (full wave rectifier 3-phase) and R-L circuit.
How to calculate and determine the current of that circuit?
So I can get the equation of that current.

For calculation, let us determine that :
peak voltage 10 Volts, R = 100 ohms and L = 1 Henry, frequency = 60Hz

I've known one solution, using simplification that L is infinite.
So current is squre function. But now I don't want to use any simplifications.

Using laplace transform or transient & steady state?
Thanks.

Unless you are interested in investigating the existence of voltage peaks during transient, you should use steady state analysis.
 
I want to see complete response of that current.
Then I want to analyze that current equation to Fourier series, so I can analyze harmonics (current and voltage harmonics) that influenced to the source.
 
HanCie said:
I want to see complete response of that current.
Then I want to analyze that current equation to Fourier series, so I can analyze harmonics (current and voltage harmonics) that influenced to the source.

To obtain the complete response you should use Laplace transforms. Once you have the complete response you must separate it in transient and steady state response and apply Fourier series only to the steady state, since the transient is not periodic in nature.
 

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