Title :
Gaussian modeling of harmonic vectors in power systems
Author :
Cavallini, A. ; Langella, R. ; Testa, A. ; Ruggiero, F.
Author_Institution :
Dipt. di Ingegneria, Ferrara Univ., Italy
Abstract :
The paper deals with Gaussian modeling of harmonic vectors in power systems. Starting from the bivariate Gaussian distribution of the vector resolved components, the univariate magnitude and phase densities are presented both in closed form solutions, which apply when opportune hypotheses are verified, and by more general empirical models. Reference is made to the results shown in relevant literature also concerning the problem of Cartesian axes rotation to reduce to zero the resolved components correlation coefficient. For the phase distribution a new expression is reported. Applications to both numerical case studies and field measurements on an Italian medium voltage network node are reported allowing comparison among different distributions
Keywords :
Gaussian distribution; harmonic distortion; power system harmonics; vectors; Cartesian axes rotation; Gaussian modeling; Italy; MV power systems; bivariate Gaussian distribution; case studies; closed form solutions; field measurements; general empirical models; harmonic vectors; power systems; vector resolved components; Closed-form solution; Gaussian distribution; Medium voltage; Power system harmonics; Power system modeling; Probability; Random variables; Statistical distributions; System testing; Vectors;
Conference_Titel :
Harmonics and Quality of Power Proceedings, 1998. Proceedings. 8th International Conference On
Conference_Location :
Athens
Print_ISBN :
0-7803-5105-3
DOI :
10.1109/ICHQP.1998.760179
