Transient analysis of load switches of self‐excited induction generators based on Lyapunov stability theory

Li, Haitao; Lu, Ziguang; Li, Zhuo

doi:10.1002/tee.22383

Cited by 7 publications

(3 citation statements)

References 18 publications

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“…The state‐space build‐up transient mathematical model of the SEIGs is as follows [8]:

\dot{X} = A X,

In (2), X = ( i sα , i sβ , i rα , i rβ , u sα , u sβ ) T and

A = (][, \begin{matrix} 1em4pt \\ - \frac{R_{normals}}{σ L_{normals}} & \frac{ω M^{2}}{σ L_{normalr} L_{normals}} & \frac{M R_{normalr}}{σ L_{normalr} L_{normals}} & \frac{ω M}{σ L_{normals}} & - \frac{1}{σ L_{normals}} & 0 \\ - \frac{ω M^{2}}{σ L_{normalr} L_{normals}} & - \frac{R_{normals}}{σ L_{normals}} & - \frac{ω M}{σ L_{normals}} & \frac{M R_{r}}{σ L_{normalr} L_{normals}} & 0 & - \frac{1}{σ L_{normals}} \\ \frac{M R_{s}}{σ L_{normalr} L_{normals}} & - \frac{ω M}{σ L_{normalr}} & - \frac{R_{r}}{σ L_{normalr}} & - \frac{ω}{σ} & \frac{M}{σ L_{normalr} L_{normals}} & 0 \\ ... \end{matrix})

…”

Section: Model Of Wind‐driven Seig Systemmentioning

confidence: 99%

“…The steady‐state motion equations of the transient operating point X of the system [9] are

({, \begin{matrix} 1em4pt \\ truedet false(j ω_{normals} I - A false) = 0 \\ A X = j ω_{normals} X \end{matrix}),

where I is a 6 × 6 unit matrix and ω s is the stator frequency.…”

Section: Analytic Computation For the Equationsmentioning

confidence: 99%

“…Especially for remote areas and communities or small businesses, induction generators can improve the efficiency in converting wind energy and reduce the environmental burden [5]. Research on self‐excited induction generators (SEIGs) in stand‐alone mode can provide not only some important technological references for grid‐connected study, but also reliable theoretical foundation for optimised design and comprehensive analysis and evaluation of closed‐loop control systems [6–9].…”

Section: Introductionmentioning

confidence: 99%

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Build‐up steady‐state analysis of wind‐driven self‐excited induction generators

Chen

Zheng

et al. 2017

J. eng.

Self Cite

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“…The state‐space build‐up transient mathematical model of the SEIGs is as follows [8]:

\dot{X} = A X,

In (2), X = ( i sα , i sβ , i rα , i rβ , u sα , u sβ ) T and

A = (][, \begin{matrix} 1em4pt \\ - \frac{R_{normals}}{σ L_{normals}} & \frac{ω M^{2}}{σ L_{normalr} L_{normals}} & \frac{M R_{normalr}}{σ L_{normalr} L_{normals}} & \frac{ω M}{σ L_{normals}} & - \frac{1}{σ L_{normals}} & 0 \\ - \frac{ω M^{2}}{σ L_{normalr} L_{normals}} & - \frac{R_{normals}}{σ L_{normals}} & - \frac{ω M}{σ L_{normals}} & \frac{M R_{r}}{σ L_{normalr} L_{normals}} & 0 & - \frac{1}{σ L_{normals}} \\ \frac{M R_{s}}{σ L_{normalr} L_{normals}} & - \frac{ω M}{σ L_{normalr}} & - \frac{R_{r}}{σ L_{normalr}} & - \frac{ω}{σ} & \frac{M}{σ L_{normalr} L_{normals}} & 0 \\ ... \end{matrix})

…”

Section: Model Of Wind‐driven Seig Systemmentioning

confidence: 99%

“…The steady‐state motion equations of the transient operating point X of the system [9] are

({, \begin{matrix} 1em4pt \\ truedet false(j ω_{normals} I - A false) = 0 \\ A X = j ω_{normals} X \end{matrix}),

where I is a 6 × 6 unit matrix and ω s is the stator frequency.…”

Section: Analytic Computation For the Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Build‐up steady‐state analysis of wind‐driven self‐excited induction generators

Chen

Zheng

et al. 2017

J. eng.

Self Cite

View full text Add to dashboard Cite

Analysis of a Novel Three-phase Asynchronous Generator Based on Graph Theory for Supplying Single-Phase Load

Ray

Chatterjee

Mahato

et al. 2021

IETE Journal of Research

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Steady-State Analysis Based on Space Vector Model of Self-Excited Induction Generators

Peng

Chen

et al. 2021

J. Phys.: Conf. Ser.

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In order to attain more optimization for the procedure of transient and steady-state operation performance analysis and evaluation of self-excited induction generators (SEIGs), the paper converts the state-space transient mathematic model with real domain into the space vector transient model with complex domain based on the same two-phase stationary reference frame, described by which the physical systems can apply extendedly the holistic analysis approach based on Lyapunov stability theory proposed in real domain. Through equivalent analysis, the extended form of the steady-state conditions and its mathematic description into the complex domain is obtained, that is, the extended quasi limit cycle and the steady-state operating points. The analytic calculation for the extended steady-state condition provides successively the analytic solutions of exciting capacitance, stator frequency, as well as the extended steady state conditions under given rotor speed and magnetizing inductance. The practical calculation example verifies correctness and effectiveness of the approach and the analytic solution of the extended steady-state condition, with engineering reference values.

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Transient analysis of load switches of self‐excited induction generators based on Lyapunov stability theory

Cited by 7 publications

References 18 publications

Build‐up steady‐state analysis of wind‐driven self‐excited induction generators

Build‐up steady‐state analysis of wind‐driven self‐excited induction generators

Analysis of a Novel Three-phase Asynchronous Generator Based on Graph Theory for Supplying Single-Phase Load

Steady-State Analysis Based on Space Vector Model of Self-Excited Induction Generators

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