Abstract
This main aim of this study is investigation of the dynamic stability in a grid-connected wing turbine system based on Double Feed Induction Generator (DFIG) using the bifurcation theory. Regarding the overview of stability by Cardenas et. al. [1]. In our research, the proposed system model is simulated based on bifurcation theory in MATLAB software. In each step, one of the controlling or non-controlling parameters is selected. Eigenvalues of system are traced permanently during simulation. According to the change of the eigenvalues of system, due to the change of bifurcation parameter, stability of the equilibrium point and special bifurcations including saddle-node and Hopf bifurcations in the system are determined.
Highlights
In the development of wind turbine (WT) technologies, WT with double-fed induction generator (DFIG) is becoming the dominant type due to its advantages of variable speed operation, four-quadrant active and reactive power capabilities, independent control of their active and reactive output power, high energy efficiency, and low size converters [1]
A diagram of a grid-connected DFIG-based wind energy generation system is shown in Figure 1, which is composed of a wind turbine and gear-box and including Wound Rotor Induction (WRI) generator, Rotor-Side Converter (RSC), Grid-Side Converter (GSC) and Grid-side converter works at the frequency of network
At first the results of time domain simulation of the grid-connected wind turbine system based on DFIG are presented and dynamic performance of the system in the case of external disturbances is evaluated
Summary
In the development of wind turbine (WT) technologies, WT with double-fed induction generator (DFIG) is becoming the dominant type due to its advantages of variable speed operation, four-quadrant active and reactive power capabilities, independent control of their active and reactive output power, high energy efficiency, and low size converters [1]. Among several nonlinear mathematical theories [8], bifurcation analysis has been applied to investigate instabilities of system equilibrium point [9] Such qualitative changes take place in the behavior of system as parameters variation. The significance of the bifurcations theory in stability analysis was identified in the 1980’s [14]; it is showed the presence of chaotic motions in the two-degree freedom swing equations Subsequent applications of this theory have been directed to the following studies such as voltage collapse [15], sub synchronous resonance [16], Ferro resonance oscillations [17], chaotic oscillations [18], and design of nonlinear controllers [19]. The following set of equations modeling the system in synchronous reference frame and in Maximum Power Point Tracking (MPPT) region can be derived as [30]: opt
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