Abstract
The stability issue of a single-phase two-stage grid-connected photovoltaic system is complicated due to the nonlinear v-i characteristic of the photovoltaic array as well as the interaction between power converters. Besides, even though linear system theory is widely used in stability analysis of balanced three-phase systems, the application of the same theory to single-phase systems meets serious challenges, since single-phase systems cannot be transformed into linear time-invariant systems simply using Park transformation as balanced three-phase systems. In this paper, (1) the integrated mathematical model of a single-phase two-stage grid-connected photovoltaic system is established, in which both DC-DC converter and DC-AC converter are included also the characteristic of the PV array is considered; (2) an observer-pattern modeling method is used to eliminate the time-varying variables; and (3) the stability of the system is studied using eigenvalue sensitivity and eigenvalue loci plots. Finally, simulation results are given to validate the proposed model and stability analysis.
Highlights
Under pressure from the energy crisis, photovoltaic (PV) energy has been more and more attractive for generating electricity
Whereas large commercial PV systems are connected to the three-phase grid, single-phase topology is advantageous in small-scale PV systems such as residential systems due to its simplicity [3,4]
In some studies on stability analysis of PV systems, the PV array is replaced by a constant voltage source [5,6] or a constant current source [7]
Summary
Under pressure from the energy crisis, photovoltaic (PV) energy has been more and more attractive for generating electricity. It is necessary tosuch establish an integrated mathematical model singleeach power converter thereHence, exists complex behaviors as bifurcation and chaos [10,11,12,13] In this for the entire single-phase two-stage grid-connected photovoltaic system that is able to describe case, the behavior of the overall system may be more complicated than only one converter, since the the interconnected influence other [14,15,16,17]. The balanced three-phase system can be described using a linear time invariant (LTI) model.main difficulty is thattools linearization process must be around fixed analysis steady-state. The stability analysis of the wholetrajectory single-phase two-stage grid-connected observer-pattern modeling method [21,22]. The stability of the system can be studied by calculating the eigenvalues of the Jacobian of the system
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
