Application of the Filippov Method for the Stability Analysis of a Photovoltaic System

Abstract

This paper describes bifurcation phenomena of a photovoltaic system. The studied photovoltaic (PV) system includes a solar panel, a boost converter, a maximum power point tracking (MPPT) controller and a storage device. Computer simulations are performed to capture the effects of variation of some chosen parameters on the qualitative behavior of the system. The impact of the maximum power point (MPP) current and voltage variations due to luminosity changes is determinate, as well as the load variation. The stability of the system is analyzed using the state transition matrix over one switching cycle (the monodromy matrix) including the state transition matrices during each switching (the saltation matrices). This investigation is important to predict nonlinear phenomena and for the components dimensioning for a proper functioning.

Keywords

• photovoltaic systems
• dc-dc power converters
• nonlinear dynamical systems
• bifurcation
• chaos
• monodromy matrix
• saltation matrix