In light of the influence of photovoltaic penetration on the grid-integrated stability of PV systems
and bearing in mind the fluctuating characteristics of solar power generation as well as the grid's requirements for regulation
this paper proposes a stability analysis approach for a grid - connected model of PV systems that takes photovoltaic penetration into consideration. Firstly
considering the impact of photovoltaic penetration on grid-connected PV systems
a state-space mathematical model of PV systems is established based on the dynamic model of grid-connected PV systems. Then
the state-space mathematical model of PV systems is optimized using fractional-order differential equations
and the validity of the state-space model is verified by means of step response. Finally
PV grid connection models are constructed based on the IEEE 14-bus and IEEE 33-bus systems
and the PV penetration threshold is determined using the Lyapunov stability criterion and state-space model analysis.
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