A method for probabilistic harmonic load-flow analysis in power systems

Matti Lehtonen

Research output: Contribution to journalArticleScientificpeer-review

Abstract

A new probabilistic method is presented for the harmonic load‐flow analysis in electrical power systems. In the method, the network is modelled using the bus impedance matrix at each harmonic order. The load flow is solved by a current injection method. For harmonic sources, the amplitude variation and the phase angle variation are taken into account. For the summation of the harmonics originating from different sources, a probability density function, derived from the jointly normal distribution is used. As a final result, statistical estimates are obtained for the node voltages and branch currents of each harmonic frequency considered.
Original languageEnglish
Pages (from-to)47-50
JournalEuropean Transactions on Electrical Power
Volume8
Issue number1
DOIs
Publication statusPublished - 1998
MoE publication typeA1 Journal article-refereed

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Harmonic analysis
Normal distribution
Power System
Probability density function
Harmonic
Electric potential
Probabilistic Methods
Harmonic Analysis
Summation
Impedance
Gaussian distribution
Injection
Branch
Voltage
Angle
Vertex of a graph
Estimate

Cite this

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abstract = "A new probabilistic method is presented for the harmonic load‐flow analysis in electrical power systems. In the method, the network is modelled using the bus impedance matrix at each harmonic order. The load flow is solved by a current injection method. For harmonic sources, the amplitude variation and the phase angle variation are taken into account. For the summation of the harmonics originating from different sources, a probability density function, derived from the jointly normal distribution is used. As a final result, statistical estimates are obtained for the node voltages and branch currents of each harmonic frequency considered.",
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A method for probabilistic harmonic load-flow analysis in power systems. / Lehtonen, Matti.

In: European Transactions on Electrical Power, Vol. 8, No. 1, 1998, p. 47-50.

Research output: Contribution to journalArticleScientificpeer-review

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