Lyapunov Stability Criterion Applied to a Interconnected Power Converter/Photovoltaic Panel System

Power electronic converters have been widely used in conjunction with a control law to maintain a regulated supply in the face of input or output disturbances. Although the control law stabilizes the converter at an operating point, stability conditions when there are supply variable sources to the converter have not yet been sufficiently explored. In this work, stability conditions are analyzed under the Lyapunov criterion of a system made up of a photovoltaic panel and a conventional Boost converter. The state space equations of the converter are coupled to a dynamic equation of the panel that arises considering the charging dynamics of a capacitor on the input bus. The resulting system of equations (averaged state space) is analyzed using Lyapunov stability criteria and the dynamics of each state variable are graphed. The methodology presented in this work can be applied to systems with other converters and another order.