Decomposition of Fluctuating Photovoltaic Generation Power in Frequency Bands and Analysis of Chaotic Properties

Abstract

This paper discusses chaotic properties of fluctuating photovoltaic generation (PV) power and reveals that PV power can be decomposed into a chaotic component having shorter periods and a long-term fluctuation component. The first step is to decompose the PV power into three components containing a long-term fluctuation component, a load frequency control (LFC) component and an irregular fluctuation component from normalized PV power data by using periodic regression analysis. The second step is to analyze the long-term fluctuation component and the LFC component using autocorrelation function. The third step is to clarify the chaotic properties of the LFC component using Lyapunov spectrum analysis. Finally, the simulation of predicting the LFC component and the normalized PV power data is carried out. This simulation clarifies that the LFC component has chaotic properties.