Flux Saturation Model Including Cross Saturation for Synchronous Reluctance Machines and Its Identification Method at Standstill

Woo, Tae-Gyeom; Park, Sangwoo; Choi, Seung‐Cheol; Lee, Hak-Jun; Yoon, Young‐Doo

doi:10.1109/tie.2022.3174233

Cited by 19 publications

(3 citation statements)

References 24 publications

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“…If this additive term is defined as it is introduced in [6], the reciprocity condition holds. Good attempts to describe the fluxes-to-currents and currents-to-fluxes relations can be found in [7]- [11]. Regarding the PMSyR machines, their behavior has been analyzed in [12] where a generic formulation is given adapting the analysis in [6].…”

Section: Introductionmentioning

confidence: 99%

A Saturation Model Based on a Simplified Equivalent Magnetic Circuit for Permanent Magnet Machines

Lelli,

Hinkkanen,

Capponi

2024

Preprint

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This paper proposes an explicit mathematical model to describe the nonlinear behavior of the permanent magnet synchronous reluctance machine. Although different models for the synchronous reluctance machines are available, extending them to the case of the permanent magnet machine is not trivial due to the effect of the permanent magnets on the rib saturation. This work uses a simplified equivalent magnetic circuit to derive the structure of the proposed model. A nonlinear reluctance is introduced to model the rib saturation. It can be added to the existing model for the synchronous reluctance machine to take into account the effect of the permanent magnets. A simple fitting procedure based on the steepest descent method is proposed to estimate the parameters of the model.

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Section: Introductionmentioning

confidence: 99%

A Saturation Model Based on a Simplified Equivalent Magnetic Circuit for Permanent Magnet Machines

Lelli,

Hinkkanen,

Capponi

2024

Preprint

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“…For example, taking into account the nonlinearity and the cross-magnetization introduced by the ferromagnetic materials in a SM model [14,15], it improves the outcome accuracy of the model itself, but it requires more computational resources. In order to tackle this computational problem, lookup tables (LUTs) [14,16] are increasingly preferred to analytic formulas [17,18] for implementing the nonlinearity and the cross-magnetization in SM models. In fact, LUTs can provide the armature flux linkage for a given magnetomotive force (MMF) just by entering a multidimensional numerical table and picking up its value.…”

Section: Introductionmentioning

confidence: 99%

A Synchronous Machine Transient Model Based upon an Algebraic Loop Accounting for Nonlinearity and Cross-Magnetization

Felicetti

Lundin

2023

International Journal of Rotating Machinery

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The purpose of this paper is to carry out an alternative to the present transient models for field wound synchronous machines, which is able to take into account the nonlinearity of the magnetic materials as well as the cross-magnetization. After presenting the principal model structures according to the state variables, a model based on two lookup tables for the magnetizing flux linkages is introduced and built step by step. The resulting signal flowchart shows an algebraic loop within the model, where the main flux linkage rapidly converges to its instantaneous value by simple iteration. The proof of this convergence is given for both saturated and unsaturated machine. Even though the proposed model uses the total linkage flux as state variable, as many alternative models do, it does not require the inversion of the current to flux linkage function (i.e., of lookup tables). This can spare a heavy computational task, especially with very large lookup tables. In the proposed model, the computational effort in the worst case scenario is reduced to few iterations (<10). Finally, the nonlinear behavior of the model is verified in four different transient scenarios by comparing its outcomes with those of a linear model for the same test machine.

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“…The flux-current dependence is a static nonlinear map, where the nonlinearity is introduced by saturation and crosssaturation [15], [22]. The apparent inductance is expressed as a nonlinear function ℓ dq (i dq ) : R 2 → R 2 yielding to the model:…”

Section: Introductionmentioning

confidence: 99%

Finite element dq-model for MTPA flux control of Synchronous Reluctance Motor (SynRM)

Delpoux,

Huguet,

Argomedo

et al. 2023

2023 IEEE 32nd International Symposium on Industrial Electronics (ISIE)

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This article focuses on the modelling of SynRM including magnetic saturation and cross-saturation to obtain accurate dynamic simulations from models obtained by Finite Element Analysis (FEA). It is shown here that in the presence of nonlinear magnetic materials, the use of flux instead of current is of interest for both simulation and control design. From this observation, dynamic flux simulation model is obtained. The accuracy of the modelling is illustrated though the design of a Maximum Torque Per Ampere (MTPA) based flux control. Simulation results, close to the real SynRM obtained from FEA are conducted to validate the development and its practical usefulness.

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Flux Saturation Model Including Cross Saturation for Synchronous Reluctance Machines and Its Identification Method at Standstill

Cited by 19 publications

References 24 publications

A Saturation Model Based on a Simplified Equivalent Magnetic Circuit for Permanent Magnet Machines

A Saturation Model Based on a Simplified Equivalent Magnetic Circuit for Permanent Magnet Machines

A Synchronous Machine Transient Model Based upon an Algebraic Loop Accounting for Nonlinearity and Cross-Magnetization

Finite element dq-model for MTPA flux control of Synchronous Reluctance Motor (SynRM)

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