Quasi-steady-state model of a class of nonlinear singularly perturbed system in a bond graph approach

González-A, Gilberto; Padilla, J. Aaron

doi:10.1007/s00202-016-0507-x

Cited by 12 publications

(11 citation statements)

References 8 publications

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“…A procedure to obtain approximate bond graph models for LTI MIMO systems with singular perturbations based on new junction structures is presented in [21]. e quasi-steady state model for a class of nonlinear systems with singular perturbations modelled by bond graphs is proposed in [22]. Hence, this paper is based on the previous work developed in [22].…”

Section: Introductionmentioning

confidence: 99%

“…e quasi-steady state model for a class of nonlinear systems with singular perturbations modelled by bond graphs is proposed in [22]. Hence, this paper is based on the previous work developed in [22]. e contribution of this paper is to analyze another class of nonlinear systems with singular perturbations with respect to [22] in a bond graph approach.…”

Section: Introductionmentioning

confidence: 99%

“…Hence, this paper is based on the previous work developed in [22]. e contribution of this paper is to analyze another class of nonlinear systems with singular perturbations with respect to [22] in a bond graph approach. e class of nonlinear systems of this paper consists of the product of state variables with nonlinear dissipation elements.…”

Section: Introductionmentioning

confidence: 99%

“…e complete system is modelled by bond graphs and the quasi-steady state model of the nonlinear system with singular perturbations applying the proposed methodology is determined. is paper has, in common, the use of the causality assignment to obtain reduced models, with respect to [20][21][22]. However, the papers [20,21] are dedicated to open and closed-loop linear systems, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…However, the papers [20,21] are dedicated to open and closed-loop linear systems, respectively. Also, in this paper, the class of nonlinear systems has been extended with respect to [22]. e junction structure was originally presented by [14].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach

Garcia

González-A

Gallegos

et al. 2020

Journal of Engineering

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The modelling in bond graph of a class of nonlinear systems with singular perturbations is presented. The class of nonlinear systems modelled by bond graphs is defined by the product of state variables and nonlinear dissipation elements. In order to obtain the mathematical model of the singularly perturbed nonlinear systems, a lemma based on the junction structure of the bond graph with a preferred integral causality assignment is proposed. The quasi-steady state model of the system is obtained by assigning a derivative causality to the storage elements for the fast dynamics and an integral causality to the storage elements for the slow dynamics. The proposed methodology to a wind turbine connected to an induction generator is applied. Simulation results of the exact and reduced models of this case study are shown.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach

Garcia

González-A

Gallegos

et al. 2020

Journal of Engineering

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Linear parameter varying sensorless torque control for singularly perturbed induction motor with torque and flux observers

Khamari¹,

Benlaloui²,

Ouchen³

et al. 2020

Electr Eng

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In this paper, a new approach being different from the concept of DTC and IFOC for a robust torque control design for induction motor is addressed. The design is based on the framework of singularly perturbed system theory and linear varying parameter systems. In these systems, the rotor flux is considered to be a time-varying parameter in order to guarantee a robust torque control with LPV flux observer with respect to the speed and resistance variations. In fact, this observer is designed to estimate the rotor flux as well as an MRAS observer is introduced to estimate the mechanical speed and rotor resistance. The main feature of this proposed structure is the enhancement of robustness with flux, speed and rotor resistance variation. This improvement leads to a considerable decrease of the torque ripples and ensures the stability for the entire operating range. The obtained simulations and experimental results are used to validate the effectiveness of the proposed control strategy. Keywords H ∞ LPV controller • Singularly perturbed system • LMI • MRAS observer • Induction motor Abbreviations Rotor speed (rd/s) ω s Stator current frequency (rd/s) ωr Induced rotor current frequency (rd/s) ωc Injected rotor current frequency (rd/s) J In Inertia f Coefficient of viscous C m Maximal electromagnetic torque ∼ Symbol indicating measured valuê Symbol indicating the estimated value B Sabir Ouchen

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Novel Analytical Approaches for Induction Machine Direct Start-up Speed–Time Curve Modeling under Fan Load

Knežević,

Ćalasan,

Dlabač

2023

Electr Eng

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Quasi-steady-state model of a class of nonlinear singularly perturbed system in a bond graph approach

Cited by 12 publications

References 8 publications

A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach

A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach

Linear parameter varying sensorless torque control for singularly perturbed induction motor with torque and flux observers

Novel Analytical Approaches for Induction Machine Direct Start-up Speed–Time Curve Modeling under Fan Load

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