A GENERAL-SOLUTION TO THE HARMONICS SUMMATION PROBLEM

Authors
LEHTONEN M
Citation
M. Lehtonen, A GENERAL-SOLUTION TO THE HARMONICS SUMMATION PROBLEM, European transactions on electrical power engineering, 3(4), 1993, pp. 293-297
Citations number
NO
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
European transactions on electrical power engineering → ACNP
ISSN journal
09393072
Volume
3
Issue
4
Year of publication
1993
Pages
293 - 297
Database
ISI
SICI code
0939-3072(1993)3:4<293:AGTTHS>2.0.ZU;2-1
Abstract
A general solution is presented for the probability density function o f the amplitude of the sum of a number of harmonics from different sou rces. In the solution, the phase angles and amplitudes of component ve ctors 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 t o be known in order to calculate the parameters of the probability den sity function.