Abstract
Switched-mode power supplies (SMPSs) are an important component in many electrical systems. As a highly non-linear device, an unavoidable side-effect of SMPS operation is its high harmonics power. One of the ways to model the harmonic power consumption profile is in terms of a random process. This paper addresses random process modeling with a corresponding probability density function (PDF), auto-covariance function (ACF) and spectral coherence. The consumed harmonics power was evaluated under different load conditions and is based on experimental results of current consumption from SMPSs. The analysis shows that harmonics power may be modeled by a lognormal distribution that is time-domain uncorrelated, and that has spectral-domain correlation modeled by a Gaussian radial basis function. Extensive discussion on the modeling results is also provided. Moreover, random simulation approach based on the modeling results was proposed.
Highlights
The quality of electrical power supply is a major issue worldwide, making harmonic analysis an essential element in power system planning and design
The validation is based on the goodness-of-fit principle when the empirical probability density function (PDF) is compared with the theoretical one
A histogram method is used as an empirical density estimator
Summary
The quality of electrical power supply is a major issue worldwide, making harmonic analysis an essential element in power system planning and design. Modern electronic power equipment is a significant source of harmonic distortion that degrades the power quality. Power system harmonic modeling and analysis is an important prerequisite for providing high-quality operation of a power network [1,2,3]. Switchedmode power supplies (SMPSs) are dominating modern devices for AC–DC conversion in consumer electronics. In SMPSs, a control system drives analog energy switching.
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