Abstract
Photovoltaic (PV) system is the cleanest form of electricity generation, and it is the only form with no effect on the environment at all. However, some environmental challenges persist, which must be overcome before solar energy may be used to represent a source of truly clean energy. This paper aims to study the stability and dynamic behavior of a grid-connected environmentally friendly photovoltaic energy system using the bifurcation theory. This theory introduces a systematic method for stability analysis of dynamic systems, under changes in the system parameters. To produce bifurcation diagrams based on the bifurcation theory, a parameter is constantly changed in each step, using MATLAB and AUTO, and eigenvalues are monitored simultaneously. Considering how the eigenvalues approach the system's imaginary axis in accordance with the changes in the targeted parameter, the occurred saddle-node and Hopf bifurcations of the grid-connected PV system are extracted. Using the obtained bifurcations, the system's dynamic stability limits against changes in controlled (controller coefficients) and systematic parameters (such as the Thevenin impedance network) are found.
Highlights
In recent years, a large number of studies have been conducted on renewable energies such as solar, wind, sea wave, tidal, and geothermal
An approach taken in the stability analysis of dynamic systems under parameter change is known as the continuation method which is discussed in bifurcation theory
The results indicate that the addition of such equipment as a controllable series capacitor, phase angle regulator, and Static VAR Compensator (SVC) to the studied power system can remove Hopf bifurcation from the system
Summary
A large number of studies have been conducted on renewable energies such as solar, wind, sea wave, tidal, and geothermal. A novel compensation procedure is explained in (Liserre et al, 2006) for dc interface voltage control loop to remove nonlinear effects of PV panels on the stability of the closed-loop This proposed compensator allows the dc interface voltage controller to be designed, ignoring the working point of the PV system. An approach taken in the stability analysis of dynamic systems under parameter change is known as the continuation method which is discussed in bifurcation theory. The zero dynamic architecture method of feedback linearization is used to regulate the grid current and dc-link voltage, which partly linearizes the device and allows controller design for reduced-order PV systems. The dynamic modeling of a grid-connected photovoltaic power system and the PV system control are presented in Section 4 and 5.
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