# Probability analysis of harmonic currents produced by AC-to-DC converters with various firing angles

Kuo Hua Liu, Li Wang

Research output: Contribution to journalConference article

### Abstract

An efficient approach to evaluate the injected harmonic currents flowing into a power system due to the summation of randomly varying harmonic currents produced by AC-to-DC power converters is presented in this paper. A probabilistic model is established to derive the magnitude of the injected harmonic currents using the expected value and variance of the harmonic current sources. The simulated results using Monte Carlo simulation are compared with the ones of the proposed approach to validate the proposed scheme. In this paper, 10 AC-to-DC power converters with 4 different ranges of firing angle are examined and compared to clearly demonstrate the variations of the expected value, the standard deviation, and the covariance when the converter number is increased from one to ten. It can be concluded from the simulated results that the proposed scheme can be practically applied to evaluate the injected harmonic currents due to randomly varying harmonic currents generated by various nonlinear loads.

Original language English 492-059 43-48 6 Series on Energy and Power Systems Published - 2005 Dec 1 5th IASTED International Conference on Power and Energy Systems, PES 2005 - Marina del Rey, CA, United StatesDuration: 2005 Oct 24 → 2005 Oct 26

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Power converters
Statistical Models
Monte Carlo simulation

### All Science Journal Classification (ASJC) codes

• Engineering(all)

### Cite this

@article{82e7e3b3b13f4308a0b63b5d3b6a3392,
title = "Probability analysis of harmonic currents produced by AC-to-DC converters with various firing angles",
abstract = "An efficient approach to evaluate the injected harmonic currents flowing into a power system due to the summation of randomly varying harmonic currents produced by AC-to-DC power converters is presented in this paper. A probabilistic model is established to derive the magnitude of the injected harmonic currents using the expected value and variance of the harmonic current sources. The simulated results using Monte Carlo simulation are compared with the ones of the proposed approach to validate the proposed scheme. In this paper, 10 AC-to-DC power converters with 4 different ranges of firing angle are examined and compared to clearly demonstrate the variations of the expected value, the standard deviation, and the covariance when the converter number is increased from one to ten. It can be concluded from the simulated results that the proposed scheme can be practically applied to evaluate the injected harmonic currents due to randomly varying harmonic currents generated by various nonlinear loads.",
author = "Liu, {Kuo Hua} and Li Wang",
year = "2005",
month = "12",
day = "1",
language = "English",
pages = "43--48",
journal = "Series on Energy and Power Systems",
issn = "1482-7891",

}

In: Series on Energy and Power Systems, 01.12.2005, p. 43-48.

Research output: Contribution to journalConference article

TY - JOUR

T1 - Probability analysis of harmonic currents produced by AC-to-DC converters with various firing angles

AU - Liu, Kuo Hua

AU - Wang, Li

PY - 2005/12/1

Y1 - 2005/12/1

N2 - An efficient approach to evaluate the injected harmonic currents flowing into a power system due to the summation of randomly varying harmonic currents produced by AC-to-DC power converters is presented in this paper. A probabilistic model is established to derive the magnitude of the injected harmonic currents using the expected value and variance of the harmonic current sources. The simulated results using Monte Carlo simulation are compared with the ones of the proposed approach to validate the proposed scheme. In this paper, 10 AC-to-DC power converters with 4 different ranges of firing angle are examined and compared to clearly demonstrate the variations of the expected value, the standard deviation, and the covariance when the converter number is increased from one to ten. It can be concluded from the simulated results that the proposed scheme can be practically applied to evaluate the injected harmonic currents due to randomly varying harmonic currents generated by various nonlinear loads.

AB - An efficient approach to evaluate the injected harmonic currents flowing into a power system due to the summation of randomly varying harmonic currents produced by AC-to-DC power converters is presented in this paper. A probabilistic model is established to derive the magnitude of the injected harmonic currents using the expected value and variance of the harmonic current sources. The simulated results using Monte Carlo simulation are compared with the ones of the proposed approach to validate the proposed scheme. In this paper, 10 AC-to-DC power converters with 4 different ranges of firing angle are examined and compared to clearly demonstrate the variations of the expected value, the standard deviation, and the covariance when the converter number is increased from one to ten. It can be concluded from the simulated results that the proposed scheme can be practically applied to evaluate the injected harmonic currents due to randomly varying harmonic currents generated by various nonlinear loads.

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M3 - Conference article

AN - SCOPUS:30644461938

SP - 43

EP - 48

JO - Series on Energy and Power Systems

JF - Series on Energy and Power Systems

SN - 1482-7891

M1 - 492-059

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