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Fuzzy-second order sliding mode control optimized by genetic algorithm applied in direct torque control of dual star induction motor

遗传算法优化的模糊二阶滑模控制在双星感应电机的直接转矩控制中的应用

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Abstract

The direct torque control of the dual star induction motor (DTC-DSIM) using conventional PI controllers is characterized by unsatisfactory performance, such as high ripples of torque and flux, and sensitivity to parametric variations. Among the most evoked control strategies adopted in this field to overcome these drawbacks presented in classical drive, it is worth mentioning the use of the second order sliding mode control (SOSMC) based on the super twisting algorithm (STA) combined with the fuzzy logic control (FSOSMC). In order to realize the optimal control performance, the FSOSMC parameters are adjusted using an optimization algorithm based on the genetic algorithm (GA). The performances of the envisaged control scheme, called G-FSOSMC, are investigated against G-SOSMC, G-PI and BBO-FSOSMC algorithms. The proposed controller scheme is efficient in reducing the torque and flux ripples, and successfully suppresses chattering. The effects of parametric uncertainties do not affect system performance.

摘要

采用传统PI 控制器对双星感应电机(DTC-DSIM)进行直接转矩控制性能并不理想，可能造成转矩和磁通量波动大，对参数变化敏感等。在经典驱动中能够克服上述缺点的控制策略之一就是将超螺旋算法(STA)与模糊逻辑控制相结合的模糊二阶滑模控制方法(FSOSMC)。未来实现最优控制效果，采用遗传算法(GA)对FSOSMC 参数进行优化。将本文中的G-FSOSMC 算法与G-SOSMC、G-PI 和BBO-FSOSMC 进行性能比较，结果表明，G-FSOSMC 能有效地减小转矩和磁通量波动，并抑制电机颤振, 且参数的不确定性也不影响系统性能。

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Abbreviations

I d(1,2)s, I q(1,2)s :

Components of the stator current

I dr, I qr :

Components of the rotor current

R r :

Rotor resistance

L s1, L s2 :

Stators inductances

L m :

Mutual inductance

Rs1, R s2 :

Stators resistances

P :

Pole pairs number

S a, S b, S c :

Switching states

J :

Moment of inertia

L r :

Rotor Inductance

V dc :

DC link voltage

T em :

Electromagnetic torque

Φ, ρ, Γ mi :

Positive bounds

φ dr, φ qr :

Rotor fluxes

Ω r :

Mechanical speed

φ d(1,2)s, φ q(1,2)s :

Components of the stator flux

V d(1,2)s, V q(1,2)s :

Components of the stator voltage

T r :

Load torque

s:

Stator reference frame

r:

Rotor reference frame

*, ref:

Reference value

GA:

Genetic algorithm

THD:

Total harmonics distortion

FLC:

Fuzzy logic controller

BBO:

Biogeography based optimization

DSIM:

Dual star induction machine

PI:

Proportional integral

DTC:

Direct torque control

SOSMC:

Second order sliding mode control

IAE:

Integrates the absolute error

ISE:

Integral squared error

ITSE:

Integral time-square error

STA:

Super twisting algorithm

G-FSOSMC:

Genetic fuzzy second order sliding mode control

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Authors and Affiliations

  1. Department of Electrical Engineering, Faculty of Technology, University of Batna2, Batna, 05040, Algeria

    Ghoulemallah Boukhalfa & Sebti Belkacem

  2. Department of Science and Technology, Faculty of Technology, University of Batna2, Batna, 05078, Algeria

    Abdesselem Chikhi

  3. Department of Electronic Engineering, Faculty of Technology, University of Batna2, Batna, 05040, Algeria

    Moufid Bouhentala

Authors
  1. Ghoulemallah Boukhalfa
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  2. Sebti Belkacem
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  3. Abdesselem Chikhi
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  4. Moufid Bouhentala
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Correspondence to Ghoulemallah Boukhalfa.

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Foundation item

Project supported by the LEB Research Laboratory, Department of Electrical Engineering, University of Batna 2, Algeria

Contributors

Ghoulemallah BOUKHALFA conceptualized the work, developed the modelling. Sebti BELKACEM conducted the simulations, and wrote the original draft. Abdesselem CHIKHI and Moufid BOUHENTALA interpreted the results, and contributed to the write up. All authors replied to reviewers’comments and revised the final version.

Conflict of interest

Ghoulemallah BOUKHALFA, Sebti BELKACEM, Abdesselem CHIKHI, Moufid BOUHENTALA declare that they have no conflict of interest.

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Boukhalfa, G., Belkacem, S., Chikhi, A. et al. Fuzzy-second order sliding mode control optimized by genetic algorithm applied in direct torque control of dual star induction motor. J. Cent. South Univ. 29, 3974–3985 (2022). https://doi.org/10.1007/s11771-022-5028-3

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