Abstract

The paper describes a simulation model of a simple photovoltaic system intended as a tool for testing the use of finite state machines for simulations representing a long-term operation of renewable energy sources. The mathematical model of the photovoltaic system is described first. Then it is used to build a finite state machine model that calculates a power output of the photovoltaic system for changing values of a solar irradiance and a temperature. Data measured on a real photovoltaic installation are used to verify model’s accuracy through its comparison with a previously created and verified Matlab model. The finite state machine model presented in this paper was created using Ptolemy II software.

Highlights

  • The model of PV system consists of mathematical models of a PV array, a DC boost converter loaded by constant resistive load and a maximum power point tracking (MPPT) controller (Fig. 1)

  • The development of semiconductor technology in the fifties of the last century, P-N junction preparation and knowledge of physical processes in the PN junction created the conditions for the production of solar cells with a reasonable efficiency

  • The switching of the DC boost converter is controlled by MPPT controller, which changes the duty cycle D of the converter according to the voltage from PV array and load current

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Summary

Introduction

The model of PV system consists of mathematical models of a PV array, a DC boost converter loaded by constant resistive load and a maximum power point tracking (MPPT) controller (Fig. 1). The inputs of the PV array model are solar irradiance λ (kW·s−2), temperature T (K) and load current I(A). They are used to calculate the PV array voltage V that is used as an input for the model of DC boost converter. The switching of the DC boost converter is controlled by MPPT controller, which changes the duty cycle D of the converter according to the voltage from PV array and load current. The MPPT controller’s algorithm determines the duty cycle needed to operate the PV array in a point of its maximum power

Mathematical Model of the DC Boost Converter
Algorithm of the MPPT Controller
FSM Model of the PV System
Verification of the Created Model

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