Construction of lyapunov function for multimachine power systems

Azuma, Yasuhiro; Miyagi, Hayao; Taniguchi, Tsuneo

doi:10.1002/ecja.4391020507

Cited by 2 publications

(5 citation statements)

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“…The Lyapunov function is constructed by finding a regular matrix Q that satisfies the symmetrical condition and Lyapunov stability conditions [3][4][5][6]11].…”

Section: Construction Of Lyapunov Function By State Function Methodsmentioning

confidence: 99%

“…Here the Lyapunov function is constructed by the state function method [3][4][5][6] based on the concept of extended energy. First the state function method is applied to the following system obtained by multiplying both parts of Eq.…”

Section: Construction Of Lyapunov Function By State Function Methodsmentioning

confidence: 99%

“…A typical technique of this sort is the Lyapunov function method [1][2][3][4][5][6][7][8][9][10][11]. In direct methods, trial-and-error processing is unnecessary, and stability can be confirmed immediately.…”

Section: Introductionmentioning

confidence: 99%

“…As a result, the induction machine characteristics become equivalent to those of a synchronous machine provided with voltage regulation plus a dissipation function. The Lyapunov function is constructed by the state function method [1,3] based on the notion of extended energy.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, wind power generators using induction machines (IM) have often been integrated into power systems, leading to a demand for stability analysis methods with regard to induction machines [15]. As concerns synchronous and induction motors, the dynamic characteristics can be expressed relatively easily, and Lyapunov functions have already been applied to synchronous motors [3][4][5][6]. However, constructing Lyapunov functions for induction motors has been considered difficult.…”

Section: Introductionmentioning

confidence: 99%

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Lyapunov function construction for a power system including induction machine dynamic characteristics

Ishigame

Taniguchi

2005

Elect. Eng. Jpn.

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SUMMARYThis paper presents a systematic procedure of constructing a Lyapunov function for power systems with induction machine dynamics characteristics by the state function method. Constructing a Lyapunov function for power systems with induction machines is a very difficult problem. In the composition process of the proposed Lyapunov function, the slipping dynamic characteristic of the induction machine is implicitly expressed in the swing equation of power systems. As a result, the dynamic characteristic of an induction machine becomes equivalent to a synchronous machine with a voltage adjustment mechanism to which a dissipation function is added. Using this proposed system description, the Lyapunov function is composed by the state function method, which is based on an expanded energy function, under the condition of some approximations. The effectiveness of the proposed Lyapunov function is verified numerically for multimachine power systems with induction machine loads.

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“…The Lyapunov function is constructed by finding a regular matrix Q that satisfies the symmetrical condition and Lyapunov stability conditions [3][4][5][6]11].…”

Section: Construction Of Lyapunov Function By State Function Methodsmentioning

confidence: 99%

Section: Construction Of Lyapunov Function By State Function Methodsmentioning

confidence: 99%