Design of fractional PID for Load frequency control via Internal model control and Big bang Big crunch optimization

Jain, Shivam; Hote, Yogesh V.

doi:10.1016/j.ifacol.2018.06.163

Cited by 30 publications

(10 citation statements)

References 14 publications

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“…The IMC is an advanced control strategy based on the mathematical model of the plant under control to meet the control objective. It is the most popular control scheme and algorithm for tuning the controller for non‐minimum phase (NMP) and time delayed plants [3–5]. On the other hand, tuning of the FO‐

{PI}^{λ} D^{μ}

controllers is complex because of its non‐integer orders while the controller can be simply and effortlessly designed by IMC where inverse of the model is taken with the single tuning parameter of the filter time constant.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, tuning of the FO‐

{PI}^{λ} D^{μ}

{PI}^{λ} D^{μ}

controller tuned by stochastic search technique is demonstrated to study the performance of a single area power system [3, 4]. An IMC‐based PID controller has been designed with desired bandwidth specification by Vinopraba et al [5] for a specific class of FO plants.…”

Section: Introductionmentioning

confidence: 99%

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Fractional order internal model control of non‐minimum phase and time‐delayed plants

Mondal

Dey

2023

Asian Journal of Control

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Several applications on fractional order (FO) control have gained considerable significance in the recent years, which led to the evolution of novel tuning strategies of the generalized order FO controllers. Some of the methods in available literatures are based on constrained minimization optimization techniques or analytical method defined only for specific plants. They are valid only for some special model cases. On the contrary, in this technical note, a generalized non-integer order internal model control (IMC) framework is realized for any order non-minimum phase (NMP) plants with right half plane (RHP) zero as well as time delayed plants having any finite relative order. Its parameters are graphically interpreted satisfying the frequency domain design stipulations for single input and single output (SISO) higher order linear time invariant (LTI) plants. The performance of the same on a bioreactor fermentation process for its temperature control is found to have outperformed in contrast to its integer order (IO)-IMC. It is therefore inferred here that this new approach pledges to impart unique solution of the controller parameters, formulating a highly efficient tool outperforming the existing paradigms. Simulation and real time experimentation are presented to validate the method put forward providing satisfactory performance in reference tracking, disturbance rejection, and robustness to various plant parameter perturbations. K E Y W O R D S fractional order (FO) control, internal model control (IMC), non-minimum phase unstable plants, time delayed plants

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{PI}^{λ} D^{μ}

Section: Introductionmentioning

confidence: 99%

“…On the other hand, tuning of the FO‐

{PI}^{λ} D^{μ}

{PI}^{λ} D^{μ}

Section: Introductionmentioning

confidence: 99%

Fractional order internal model control of non‐minimum phase and time‐delayed plants

Mondal

Dey

2023

Asian Journal of Control

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“…Recently, authors in [14], have designed an FOPID controller using Big Bang Big Crunch algorithm for load frequency control of a single area power system and compared the performance with different other controllers. A detailed statistical analysis has been presented to show the effectiveness of the proposed controller.…”

Section: Introductionmentioning

confidence: 99%

Coordination of time delay and GCSC for frequency stabilization of dual‐area interlinked microgrid using non‐integer controller optimization

Latif

Hussain

Iqbal

et al. 2023

IET Renewable Power Gen

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This study presents a novel frequency regulation solution for renewables (wind‐solar tower)‐bio (biodiesel‐biogas) cogenerated independent dual‐area interlinked microgrid power system (IµPS) with collective effect of time delay and flexible gate‐controlled series capacitor (GCSC). As a component, a non‐integer proportional fractional integral fractional derivative (PFIFD) controller is introduced whose dynamic responses is compared with integer order PID (IOPID) and fractional order PI (FOPI) controllers. The findings demonstrate that the suggested non‐integer PFIFD controller performs better than IOPID and FOPI at giving superior dynamic properties, such as different decision parameters and minimum error function (J). Subsequently, to obtain the optimally tuned controllers’ parameters, a recently developed yellow saddle goatfish technique (YSGA) is leveraged. In this study, the comparative effect of time delay, interline power flow controller (IPFC) and GCSC scheme have been analyzed under real time wind data in IµPS. Further, a meticulous sensitivity assessment of YSGA tuned PFIFD controller is performed under different uncertainties. The improved results show that the recommended YSGA‐based PFIFD controller offers a wonderful improvement in system frequency stability under a variety of situations, including system uncertainties, physical constraints, and significant renewables penetration. Finally, real‐time hardware‐in‐the‐loop (HIL) simulation platform is utilized to validate the proposed control approach.

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“…Using a new different and appropriate kind of controller like fractional order proportional-integral-derivative (FOPID) controller is suggested. Many researches show that the fractional order systems result in larger stability region [29][30][31][32][33]. Therefore, these systems are capable of tolerating larger time delays.…”

Section: Introductionmentioning

confidence: 99%

Time delay margin for islanded microgrid with parameter uncertainty using fractional order proportional‐integral‐derivative controller

Beheshti

Khosravi

2023

Asian Journal of Control

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In this article, an islanded microgrid (MG) consisting of the diesel generator (DEG), the photovoltaic panel (PV), the wind turbine generator (WTG), the battery energy storage system (BESS), and the control unit is considered. In the islanded MGs, the control signals are exchanged on the open communication network, which results in the time delays in the input and the output of the islanded MG central controller (MGCC). The time delay has a destructive effect on the islanded MG stability. Thus, finding the maximum allowable time delay bound (MADB) is a significant issue. Since it is shown that the fractional order systems have larger stability region and more robustness rather than the corresponding integer order systems, in this research, we propose the fractional order proportional‐integral‐derivative (FOPID) controller as the MGCC to achieve a larger MADB value. As another innovation, in this article, a method is presented in which the MADB of the islanded MG system is determined considering the parametric uncertainties related to the damping coefficient (D) and the inertia constant (H). It is shown that the percentage improvement in the MADB of the uncertain MG system with the designed FOPID controller over the integer order proportional‐integral‐derivative (IOPID) controller is 9.64%. The accuracy of the proposed method is verified by simulation results in Matlab.

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Design of fractional PID for Load frequency control via Internal model control and Big bang Big crunch optimization

Cited by 30 publications

References 14 publications

Fractional order internal model control of non‐minimum phase and time‐delayed plants

Fractional order internal model control of non‐minimum phase and time‐delayed plants

Coordination of time delay and GCSC for frequency stabilization of dual‐area interlinked microgrid using non‐integer controller optimization

Time delay margin for islanded microgrid with parameter uncertainty using fractional order proportional‐integral‐derivative controller

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