Abstract

Fluctuations in solar irradiance are a serious obstacle for the future large-scale application of photovoltaics. Occurring regularly with the passage of clouds, they can cause unexpected power variations and introduce voltage dips to the power distribution system. This paper proposes the treatment of such fluctuating time series as realizations of a stochastic, locally stationary, wavelet process. Its local spectral density can be estimated from empirical data by means of wavelet periodograms. The wavelet approach allows the analysis of the amplitude of fluctuations per characteristic scale, hence, persistence of the fluctuation. Furthermore, conclusions can be drawn on the frequency of occurrence of fluctuations of dierent scale. This localized spectral analysis was applied to empirical data of two successive years. The approach is especially useful for network planning and load management of power distribution systems containing a high density of photovoltaic generation units.

Highlights

  • Most applications of wavelet decomposition in the field of electrical power engineering concern the analysis of load profiles [1, 2], the electrical power supply quality and its measurement [3,4,5,6], and protection issues [7]

  • The approach is especially useful for network planning and load management of power distribution systems containing a high density of photovoltaic generation units

  • A new area of application is presented with the analysis of time series of solar radiation in order to quantify the intermittent power supplied by solar energy systems, mainly photovoltaics (PV)

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Summary

Introduction

Most applications of wavelet decomposition in the field of electrical power engineering concern the analysis of load profiles [1, 2], the electrical power supply quality and its measurement [3,4,5,6], and protection issues [7]. A new area of application is presented with the analysis of time series of solar radiation in order to quantify the intermittent power supplied by solar energy systems, mainly photovoltaics (PV). In this case, the power supply quality can be deteriorated as a consequence of power variations due to a varying cloud coverage of the sky. The clearness index k accounts for all meteorological influences, mainly being the stochastic parameters atmospheric turbidity and moving clouds. It is independent of all astronomical relationships. The sampling period ΔT for an analysis of cloud-induced fluctuations should be no longer than eight seconds in order to account for more than 98% of the signal’s power content [10]

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