Title :
Stability analysis of grid-connected voltage source inverters with LCL-filters using partial state feedback
Author :
Gabe, Ivan Jorge ; Massing, Jorge Rodrigo ; Montagner, Vinícius F. ; Pinheiro, Humberto
Author_Institution :
Fed. Univ. of Santa Maria, Santa Maria
Abstract :
This paper addresses the stability of discrete controlled grid connected voltage source inverters with LCL-filter usually found in wind power generation systems. First a theorem that relates the controllability of the discrete dynamic equation with the LCL-filter parameters and the sampling frequency is derived. Then, a robust partial state feedback design on the linear matrix inequalities framework guarantee the stability damping the LCL-filter resonance for a large set of grid conditions without requiring tuning procedures. Finally, an internal model controller is added to ensure asymptotic reference tracking and disturbance rejection, therefore reducing significantly the impact of grid background voltage distortion on the line currents. Simulation and experimental results are presented to support the theoretical analysis carried out and to demonstrate the system performance.
Keywords :
controllability; invertors; linear matrix inequalities; power filters; power generation control; stability; state feedback; wind power plants; LCL-filters; asymptotic reference tracking; controllability; discrete dynamic equation; grid-connected voltage source inverters; internal model controller; linear matrix inequalities framework; partial state feedback; robust partial state feedback design; sampling frequency; stability analysis; stability damping; wind power generation systems; Control systems; Controllability; Equations; Inverters; Robust stability; Sampling methods; Stability analysis; State feedback; Voltage control; Wind power generation; LCL- Filters; Linear; Matrix Inequalities; PWM converters; Partial State Feedback; Wind Power Systems;
Conference_Titel :
Power Electronics and Applications, 2007 European Conference on
Conference_Location :
Aalborg
Print_ISBN :
978-92-75815-10-8
Electronic_ISBN :
978-92-75815-10-8
DOI :
10.1109/EPE.2007.4417575