Etude comparative de différents correcteurs pour la commande optimale avec défauts d’une machine pentaphasée

Mekri, Fatiha; Charpentier, Jean-Frédéric; Kestelyn, Xavier; Semail, Eric

doi:10.3166/ejee.15.377-400

Cited by 4 publications

(6 citation statements)

References 15 publications

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“…The harmonics 1, 9 and 11 project in the main plane, the harmonics 3, 7 and 13 in the secondary plane and the multiples harmonics of 5 on the homopolar straight (6). It can be easily demonstrated that each time and space harmonics of the current, flux and voltage are associated with a particular sub-system [4,13], as shown in Table 1. So, we can then consider that the main and secondary machines have p and 3p pairs of poles, respectively.…”

Section: Modeling Multi-phase Machinementioning

confidence: 94%

“…Generally, in normal operations, the maximum torque per ampere strategy is used to determine the optimal current references of each phase [13]. In a 5-phase PM machine, if this strategy is applied considering (6), only the 1st and 3rd harmonics of the EMF can be used with two rotating frames.…”

Section: Current Reference Extractionmentioning

confidence: 99%

“…It is necessary to ensure a good tracking by using non-linear control strategies. The most common non-linear control strategy is the hysteresis control mode, which was implemented with success in [13]. Under an open circuit fault condition, torque ripples appear with this classical control.…”

Section: Current Control Loopmentioning

confidence: 99%

“…These ripples are linked to the interaction between the non-symmetrical system of currents and the symmetric system of electromotive forces. To avoid these torque ripples, an adaptive method to determine current references is described in [12,13].…”

Section: Current Control Loopmentioning

confidence: 99%

“…Thus, the use of a motor with non-sinusoidal electromotive force can be an attractive solution for special applications such as aerospace or marine propulsion, where very compact systems are needed [7,8]. In the multiphase machines, the torque ripples are smoothed, and the maximum torque is higher than a 3phase motor under the same conditions with the same power, even in the case of serious faults [4,6,13].…”

Section: Introductionmentioning

confidence: 99%

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Archives of Electrical Engineering

Mekri,

Elghali,

Charpentier

2019

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This paper presents a study of control strategies for 5-phase permanent magnet synchronous motors (PMSMs) supplied by a five-leg voltage source inverter. Based on the vectorial decomposition of the multi-phase machine, fictitious machines, magnetically decoupled, allow a more adequate control. In this paper, our study focuses on the vector control of a multi-phase machine using a linear proportional-integral-derivative (PID) current regulator in the cases of sinusoidal and trapezoidal back-electromotive force (EMF) waveforms. In order to determine currents' references, two strategies are adopted. First one aims to minimize copper losses under constant torque, while the second one targets to increase torque for a given copper losses. These techniques are tested under a variable speed control strategy based on a proportional-integral (PI) regulator and experimentally validated.

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Section: Modeling Multi-phase Machinementioning

confidence: 94%

Section: Current Reference Extractionmentioning

confidence: 99%

Section: Current Control Loopmentioning

confidence: 99%

Section: Current Control Loopmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Archives of Electrical Engineering

Mekri,

Elghali,

Charpentier

2019

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Nonlinear optimal control for the five-phase induction motor-based traction system of electric vehicles

Rigatos,

Siano,

Al-Numay

et al. 2024

COMPEL

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Purpose The purpose of this article is to treat the nonlinear optimal control problem in EV traction systems which are based on 5-phase induction motors. Five-phase permanent magnet synchronous motors and five-phase asynchronous induction motors (IMs) are among the types of multiphase motors one can consider for the traction system of electric vehicles (EVs). By distributing the required power in a large number of phases, the power load of each individual phase is reduced. The cumulative rates of power in multiphase machines can be raised without stressing the connected converters. Multiphase motors are also fault tolerant because such machines remain functional even if failures affect certain phases. Design/methodology/approach A novel nonlinear optimal control approach has been developed for five-phase IMs. The dynamic model of the five-phase IM undergoes approximate linearization using Taylor series expansion and the computation of the associated Jacobian matrices. The linearization takes place at each sampling instance. For the linearized model of the motor, an H-infinity feedback controller is designed. This controller achieves the solution of the optimal control problem under model uncertainty and disturbances. Findings To select the feedback gains of the nonlinear optimal (H-infinity) controller, an algebraic Riccati equation has to be solved repetitively at each time-step of the control method. The global stability properties of the control loop are demonstrated through Lyapunov analysis. Under moderate conditions, the global asymptotic stability properties of the control scheme are proven. The proposed nonlinear optimal control method achieves fast and accurate tracking of reference setpoints under moderate variations of the control inputs. Research limitations/implications Comparing to other nonlinear control methods that one could have considered for five-phase IMs, the presented nonlinear optimal (H-infinity) control approach avoids complicated state-space model transformations, is of proven global stability and its use does not require the model of the motor to be brought into a specific state-space form. The nonlinear optimal control method has clear implementation stages and moderate computational effort. Practical implications In the transportation sector, there is progressive transition to EVs. The use of five-phase IMs in EVs exhibits specific advantages, by achieving a more balanced distribution of power in the multiple phases of the motor and by providing fault tolerance. The study’s nonlinear optimal control method for five-phase IMs enables high performance for such motors and their efficient use in the traction system of EVs. Social implications Nonlinear optimal control for five-phase IMs supports the deployment of their use in EVs. Therefore, it contributes to the net-zero objective that aims at eliminating the emission of harmful exhaust gases coming from human activities. Most known manufacturers of vehicles have shifted to the production of all-electric cars. The study’s findings can optimize the traction system of EVs thus also contributing to the growth of the EV industry. Originality/value The proposed nonlinear optimal control method is novel comparing to past attempts for solving the optimal control problem for nonlinear dynamical systems. It uses a novel approach for selecting the linearization points and a new Riccati equation for computing the feedback gains of the controller. The nonlinear optimal control method is applicable to a wider class of dynamical systems than approaches based on the solution of state-dependent Riccati equations.

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