Analytical Polynomial Models of Nonlinear Magnetic Flux Linkage for SRM

Chen, Hao; Yan, Wenju; Chen, Lei; Sun, Min; Liu, Zheng

doi:10.1109/tasc.2018.2806913

Cited by 11 publications

(11 citation statements)

References 14 publications

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“…There are two common analytical modeling methods of flux linkage; let φ be flux linkage; one is based on the relation of φ-i in different rotor positions, 25,26 and another is based on the relation of φ-θ under different currents. 27 Take the "φ-i" method for example. The general model is…”

Section: Traditional Analytical Modeling Methods For the Srmmentioning

confidence: 99%

“…First, an analytic estimation model of the current is necessary. Available analytic current models of the SRM are of either high complexity or low accuracy [25][26][27][28] ; thus, they cannot be applied to estimate currents online. In Sections 2 and 3, on the basis of a traditional modeling method, a piecewise modeling method for the SRM is proposed, by the modeling method, an analytic estimation model of the current is established.…”

Section: Introductionmentioning

confidence: 99%

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Current estimation of switched reluctance motor based on piecewise model and iteration calculation

Fang

Chen

Wang

et al. 2022

Circuit Theory & Apps

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To reduce the number of current sensors in the switched reluctance motor (SRM) system, a current estimation method of the SRM is proposed. There is only one current sensor needed to measure the sum of phase currents. Current estimation model consists of two equations, one is equation of the sum of phase currents and another is mechanical equation of the SRM. Torque, a variable in the mechanical equation, has complex nonlinear relation with phase currents. This makes it difficult to solve the current estimation model online.To deal with the problem, a piecewise modeling method is used to establish a simple analytical torque model. Accuracy of the established torque model is better than that of traditional torque models after comparisons. A parameter of speed and acceleration is defined to compensate errors of the torque model and avoid identifications of moment of inertia and friction coefficient. On the basis of features of the current estimation model and phase currents of the SRM, Newton's method is chosen to solve the current estimation model and a practical stop condition of iteration is given. Realization process of online computation is illustrated. Finally, the proposed current estimation method is validated by experiments.

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Section: Traditional Analytical Modeling Methods For the Srmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Current estimation of switched reluctance motor based on piecewise model and iteration calculation

Fang

Chen

Wang

et al. 2022

Circuit Theory & Apps

Self Cite

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“…Therefore, when researching the method of BIM nonlinear modeling, the flux linkage values under three conditions are obtained by finite element analysis. However, the model built will lay a solid foundation for the actual magnetic flux modeling in the future, creating conditions for further improving system performance and real-time control [44], [45]. The main specifications of BIM are shown in Table 1.…”

Section: Nonlinear Modeling Of Bim Based On Lssvm a Introduction mentioning

confidence: 99%

A Nonlinear Flux Linkage Model for Bearingless Induction Motor Based on GWO-LSSVM

Cheng

Sun

et al. 2019

IEEE Access

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The flux-linkage characteristics of bearingless induction motors (BIMs) are nonlinear, and the models established by the general analytical method cannot accurately reflect the actual characteristics of BIMs. Thus, a novel method for nonlinear modeling of BIM flux linkage is proposed in this paper. The main objective of this method is to improve the accuracy of the flux linkage model based on the least square support vector machine (LSSVM) technique by applying the gray wolf optimization (GWO) algorithm to determine the optimal kernel parameter and regularization parameter of the LSSVM automatically. In this method, all BIMs flux linkage data are obtained from the finite-element method. In this paper, the relationship between input and output of the nonlinear flux linkage model is studied, and the precision model of GWO-LSSVM flux linkage is obtained. The simulation results demonstrate that the GWO-LSSVM model has high prediction accuracy and strong prediction ability. In addition, the GWO-LSSVM model is compared with other models. From this simulation comparison, it can be concluded that GWO-LSSVM modeling has the characteristics of higher accuracy. INDEX TERMS Bearingless induction motor, gray wolf optimization, least squares support vector machine, nonlinear model, finite element analysis.

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“…In contrast, the MEC is an excellent candidate for the modeling of electromagnetic devices that can provide acceptably accurate solutions that are reasonably computationally time‐consuming. The reluctance analysis method is one of the important numerical modeling for analyzing the transient and asymmetric conditions of nonlinear electrical machines . Likewise, the MEC method in comparison to FEM, which is very complex in the dynamic form, is a more effective dynamic method, which can be used to evaluate the transient to steady state of the machine.…”

Section: Introductionmentioning

confidence: 99%

“…The reluctance analysis method is one of the important numerical modeling for analyzing the transient and asymmetric conditions of nonlinear electrical machines. 10,11 Likewise, the MEC method in comparison to FEM, which is very complex in the dynamic form, is a more effective dynamic method, which can be used to evaluate the transient to steady state of the machine. Therefore, in this paper, considering the magnetic saturation and the effects of distributed air gap reluctances between the stator and rotor, a precise model of the switched reluctance motor is presented.…”

Section: Introductionmentioning

confidence: 99%

A detailed magnetic equivalent circuit modeling for torque ripples minimizing of a switched reluctance motor

Naeini

2019

Int Trans Electr Energ Syst

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Summary In this paper, by using of the magnetic equivalent circuit method, an accurate model of a switched reluctance motor with respect to the traditional modeling is presented. This modeling is perfectly considered the magnetic saturation effects of iron core and space harmonic distribution of stator and rotor poles. The presented magnetic equivalent circuit model evaluated the motor performance in different situations with low time consumption properly. This method has less complexity for dynamic modeling of switched reluctance motor. Also, this modeling can be used for optimal designing of motor performance in various applications with high accuracy and precision. In this paper, the various sequence of phases excitations with different overlap between two adjacent phases voltages are evaluated to choose the appropriate excitation. Finally, the proposed magnetic equivalent method results are validated by comparing the corresponding finite element analysis. The simulations results confirmed the usefulness of the proposed model.

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Analytical Polynomial Models of Nonlinear Magnetic Flux Linkage for SRM

Cited by 11 publications

References 14 publications

Current estimation of switched reluctance motor based on piecewise model and iteration calculation

Current estimation of switched reluctance motor based on piecewise model and iteration calculation

A Nonlinear Flux Linkage Model for Bearingless Induction Motor Based on GWO-LSSVM

A detailed magnetic equivalent circuit modeling for torque ripples minimizing of a switched reluctance motor

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