A general solution to the harmonics summation problem

Matti Lehtonen

Research output: Contribution to journalArticleScientificpeer-review

13 Citations (Scopus)


A general solution is presented for the probability density function of the amplitude of the sum of a number of harmonics from different sources. In the solution, the phase angles and amplitudes of component vectors may vary randomly in any given range. If these variation ranges are the same for all the component vectors, then ‐ in addition to them ‐ only arithmetic and geometric sums of the maximum amplitudes need to be known in order to calculate the parameters of the probability density function.
Original languageEnglish
Pages (from-to)293-297
JournalEuropean Transactions on Electrical Power
Issue number4
Publication statusPublished - 1993
MoE publication typeA1 Journal article-refereed


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