2019
DOI: 10.18280/ejee.210607
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Analysis on Chaotic Mechanism of Direct-Drive Permanent Magnet Synchronous Generators Based on Lyapunov Stability Theory

Abstract: The direct-drive permanent magnet synchronous generator (D-PMSG) is a highly nonlinear dynamic system. This paper aims to explore the complex chaotic motions or prominent chaotic features (e.g. the limit cycle) of the D-PMSG under certain parameter conditions and external inputs. Specifically, the mathematical model of the PMSG in d-q reference frame was converted into a dimensionless Loren chaotic equation through affine transform and timescale transform. Then, the Lyapunov stability theory was introduced to … Show more

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Cited by 6 publications
(4 citation statements)
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References 16 publications
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“…The stochastic optimization problem defined in Eq. (6) can be transformed into a series of continuous deterministic optimization problems through Lyapunov optimization theory [15,16]. In each time slot, the standard convex optimization method is used to solve these problems.…”
Section: B Dynamic Resource Allocation Algorithm For Reducing Energymentioning
confidence: 99%
“…The stochastic optimization problem defined in Eq. (6) can be transformed into a series of continuous deterministic optimization problems through Lyapunov optimization theory [15,16]. In each time slot, the standard convex optimization method is used to solve these problems.…”
Section: B Dynamic Resource Allocation Algorithm For Reducing Energymentioning
confidence: 99%
“…Regarding the generators for wind energy conversion system (WECS), wind turbine manufacturers use several types of electric generators, notably doubly fed induction generators [5][6][7], permanent magnet synchronous generators [8,9], and the dual star induction generator (DSIG) [10,11]. The DSIG has more advantages than the conventional cage induction generator, namely high reliability, low magnitude with high frequency of torque pulsations, reduced rotor harmonic current, and segmentation power [12].…”
Section: Introductionmentioning
confidence: 99%
“…Among these control methods, the design method of state feedback control is simpler, the control performance is better, and the dynamic response is faster, which can better suppress the chaos phenomenon and achieve the desired effect. The chaos motion of D-PMSG was found for the first time in 2009 [30], and the chaos modeling and dynamic characteristics analysis of D-PMSG has received much attention among researchers [31,32]. A backstepping adaptive control algorithm was proposed to suppress the influence of parameter uncertainty and wind speed disturbance on the operation performance of D-PMSG [33].…”
Section: Introductionmentioning
confidence: 99%