### Abstract

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 language | English |
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Pages (from-to) | 293 - 297 |

Number of pages | 5 |

Journal | European Transactions on Electrical Power |

Volume | 3 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1993 |

MoE publication type | A1 Journal article-refereed |

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## Cite this

Lehtonen, M. (1993). A general solution to the harmonics summation problem.

*European Transactions on Electrical Power*,*3*(4), 293 - 297. https://doi.org/10.1002/etep.4450030407