Design of fractional-order PI controllers and comparative analysis of these controllers with linearized, nonlinear integer-order and nonlinear fractional-order representations of PMSM

Thakar, Ujjwala; Joshi, Vandana; Vyawahare, Vishwesh A.

doi:10.1007/s40435-016-0243-0

Cited by 11 publications

(9 citation statements)

References 12 publications

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“…e stability of FOC can be verified using the root-locus method [34,35]. But, the FO-PI cannot sufficiently improve the performance (response time, rise time, and stability) and robustness against noise and interference [36][37][38], which demands the use of the Nonlinear PI (NL-PI) controller with the fractional-order operator [39]. Unlike the conventional PI controller, which can solve the problem of constant disturbance rejection only, the NL-PI controller has the ability to reject disturbance of arbitrary shape.…”

Section: Literature Reviewmentioning

confidence: 99%

A Continuous Nonlinear Fractional-Order PI Controller for Primary Frequency Control Application

Elyaalaoui

Labbadi

Ouassaid

et al. 2021

Mathematical Problems in Engineering

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In this paper, a nonlinear fractional-order PI (NL-FO-PI) controller is proposed for primary frequency control (PFC) of a wind farm based on the squirrel cage induction generator. The new structure composites a fractional-order operator and nonlinear function to achieve better control performance for the PFC system. The benchmarking process is demonstrated by investigating the performance of fractional-order PI (FO-PI) and nonlinear PI (NL-PI) controllers. Initially, the controller is applied to a single-area power system for design and stability study and then extended to the two-area interconnected wind farm to validate the applicability in the more realistic power system. The proposed control method ensures the balance of power and keeps the system frequency within a suitable range. The simulation results demonstrate that the proposed NL-FO-PI controller provides less percentage overshoot, settling time, rise time, and peak time than other controllers.

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Section: Literature Reviewmentioning

confidence: 99%

A Continuous Nonlinear Fractional-Order PI Controller for Primary Frequency Control Application

Elyaalaoui

Labbadi

Ouassaid

et al. 2021

Mathematical Problems in Engineering

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“…Some researchers have already focused on the application of FOPI controller in the machine system [39,41,[46][47][48][49][50][51][52][53][54][55][56][57][58][59]. These references mainly focused on the controller parameters tuning methods according to different criteria.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, the performance of FOPI controller was undoubtedly much better than that of IOPI controller. According to the literature, in [58,59], the FOPI controller parameters were developed with the same open-loop gain crossover frequency and phase margin as the IOPI controller. However, this paper mainly discussed the starting characteristics of FOPI/IOPI controllers with fractional-order and integer-order model.…”

Section: Introductionmentioning

confidence: 99%

Fractional-Order PI Control of DFIG-Based Tidal Stream Turbine

Chen

Xie

Chen

et al. 2020

JMSE

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This study mainly investigates the current and speed control strategies of a doubly-fed induction generator (DFIG), which is applied to a tidal stream turbine (TST). Indeed, DFIG using integer-order PI (IOPI) controller has been widely proposed in the applications with a similar system, especially in wind energy conversion system (WECS). However, these conventional controllers cannot deal with the problems caused by the parameter variations satisfactorily under complex and harsh operation conditions, and may even deteriorate the performance. As a result, a fractional-order PI (FOPI) controller is considered to improve the efficiency and performance of DFIG-based TST in this paper. The FOPI controller, developed from the traditional IOPI controller and the fractional calculus theory, has a lot of prominent merits in many aspects, such as robustness, stability, and dynamic performance. In this paper, the proposed control strategies are embedded into the whole TST model which contains the tidal stream turbine, and the generator. The obtained simulation results demonstrate the prominent effectiveness and advantages of the proposed strategies compared with the conventional IOPI controller in terms of overshoot, static error, adjustment time, and robustness. It implies that FOPI controller could be a good candidate in TST applications.

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“…Permanent magnet synchronous motor (PMSM) is widely used as controlled object in small and medium capacity servo control system because of its simple physical structure, small installation space, low torque ripple and high efficiency. But its strong coupling, non-linearity and fractional order characteristics make AC servo system uncertain and non-linearity [2,3]. Generally, only approximate mathematical model can be established.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy PI<sup>λ</sup> Position Control Method for Permanent Magnet Synchronous

Zhong¹,

Lin²,

Xu³

2019

Preprint

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Permanent magnet synchronous motor (PMSM) AC servo system shows the characteristics of uncertainty, time-varying and non-linearity, which makes it difficult for traditional PID control to achieve ideal control effect. Fuzzy control has strong adaptability to the problems of parameter variation, non-linearity and model inaccuracy of the controlled object. Vector control strategy is used to study its control principle and the realization of SVPWM. Because the motor object has certain fractional order characteristics, the fuzzy parameter self-tuning PIλ control is chosen as the position regulator of servo motor. It combines the accuracy of fractional order PI control and the adaptability of fuzzy control. A simulation model of PMSM three-closed-loop system is built in MATLAB/Simulink environment. The results show that the control method is effective and can satisfy the trajectory tracking of servo control.

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Design of fractional-order PI controllers and comparative analysis of these controllers with linearized, nonlinear integer-order and nonlinear fractional-order representations of PMSM

Cited by 11 publications

References 12 publications

A Continuous Nonlinear Fractional-Order PI Controller for Primary Frequency Control Application

A Continuous Nonlinear Fractional-Order PI Controller for Primary Frequency Control Application

Fractional-Order PI Control of DFIG-Based Tidal Stream Turbine

Fuzzy PI<sup>λ</sup> Position Control Method for Permanent Magnet Synchronous

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Design of fractional-order PI controllers and comparative analysis of these controllers with linearized, nonlinear integer-order and nonlinear fractional-order representations of PMSM

Cited by 11 publications

References 12 publications

A Continuous Nonlinear Fractional-Order PI Controller for Primary Frequency Control Application

A Continuous Nonlinear Fractional-Order PI Controller for Primary Frequency Control Application

Fractional-Order PI Control of DFIG-Based Tidal Stream Turbine

Fuzzy PI<sup>&lambda;</sup> Position Control Method for Permanent Magnet Synchronous

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Fuzzy PI<sup>λ</sup> Position Control Method for Permanent Magnet Synchronous