A fractional-order ship power system with extreme multistability

Abstract In this research, the ship power system is studied with a fractional-order approach. A 2-D model of a two-generator parallel-connected is considered. A chaotic attractor is observed for particular parameter values. The fractional-order form is calculated with the Adam–Bashforth–Moulton method. The chaotic response is identified even for the order 0.99. Phase portrait is generated using the Caputo derivative approach. Wolf’s algorithm is used to calculate Lyapunov exponents. For the considered values of parameters, one positive Lyapunov exponent confirms the existence of chaos. Bifurcation diagrams are presented to analyze the various dynamical behaviors and bifurcation points. Interestingly, the considered system is multistable. Also, antimonotonicity, period-doubling, and period halving are observed in the bifurcation diagram. As the last step, a fractional-order controller is designed to remove chaotic dynamics. Time plots are simulated to show the effectiveness of the controller.

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Grasshopper Algorithm Optimized Fractional Order Fuzzy PID Frequency Controller for Hybrid Power Systems

Recent Advances in Electrical & Electronic Engineering (Formerly Recent Patents on Electrical & Electronic Engineering) ◽

10.2174/2352096511666180717142058 ◽

2019 ◽

Vol 12 (6) ◽

pp. 519-531

Author(s):

Deepak Kumar Lal ◽

Ajit Kumar Barisal

Keyword(s):

Power Systems ◽

Power System ◽

Fractional Order ◽

Pid Controller ◽

Load Frequency Control ◽

Pid Controllers ◽

Fuzzy Pid ◽

Fuzzy Pid Controller ◽

Hybrid Power ◽

Increasing Demand

Background: Due to the increasing demand for the electrical power and limitations of conventional energy to produce electricity. Methods: Now the Microgrid (MG) system based on alternative energy sources are used to provide electrical energy to fulfill the increasing demand. The power system frequency deviates from its nominal value when the generation differs the load demand. The paper presents, Load Frequency Control (LFC) of a hybrid power structure consisting of a reheat turbine thermal unit, hydropower generation unit and Distributed Generation (DG) resources. Results: The execution of the proposed fractional order Fuzzy proportional-integral-derivative (FO Fuzzy PID) controller is explored by comparing the results with different types of controllers such as PID, fractional order PID (FOPID) and Fuzzy PID controllers. The controller parameters are optimized with a novel application of Grasshopper Optimization Algorithm (GOA). The robustness of the proposed FO Fuzzy PID controller towards different loading, Step Load Perturbations (SLP) and random step change of wind power is tested. Further, the study is extended to an AC microgrid integrated three region thermal power systems. Conclusion: The performed time domain simulations results demonstrate the effectiveness of the proposed FO Fuzzy PID controller and show that it has better performance than that of PID, FOPID and Fuzzy PID controllers. The suggested approach is reached out to the more practical multi-region power system. Thus, the worthiness and adequacy of the proposed technique are verified effectively.

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Stability and Stabilization of the Fractional-order Power System with Time Delay

IEEE Transactions on Circuits & Systems II Express Briefs ◽

10.1109/tcsii.2021.3069323 ◽

2021 ◽

pp. 1-1

Author(s):

Zhongming Yu ◽

Yue Sun ◽

Xin Dai

Keyword(s):

Time Delay ◽

Power System ◽

Fractional Order ◽

Stability And Stabilization ◽

System With Time Delay

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Central Tunicate Swarm NFOPID-Based Load Frequency Control of the Egyptian Power System Considering New Uncontrolled Wind and Photovoltaic Farms

Energies ◽

10.3390/en14123604 ◽

2021 ◽

Vol 14 (12) ◽

pp. 3604

Author(s):

Hady H. Fayek ◽

Panos Kotsampopoulos

Keyword(s):

Power System ◽

Fractional Order ◽

Frequency Control ◽

Optimization Techniques ◽

Load Frequency Control ◽

The Novel ◽

Operating Condition ◽

Load Frequency ◽

Non Linear ◽

Fractional Order Pid

This paper presents load frequency control of the 2021 Egyptian power system, which consists of multi-source electrical power generation, namely, a gas and steam combined cycle, and hydro, wind and photovoltaic power stations. The simulation model includes five generating units considering physical constraints such as generation rate constraints (GRC) and the speed governor dead band. It is assumed that a centralized controller is located at the national control center to regulate the frequency of the grid. Four controllers are applied in this research: PID, fractional-order PID (FOPID), non-linear PID (NPID) and non-linear fractional-order PID (NFOPID), to control the system frequency. The design of each controller is conducted based on the novel tunicate swarm algorithm at each operating condition. The novel method is compared to other widely used optimization techniques. The results show that the tunicate swarm NFOPID controller leads the Egyptian power system to a better performance than the other control schemes. This research also presents a comparison between four methods to self-tune the NFOPID controller at each operating condition.

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5G Poor and Rich Novel Control Scheme Based Load Frequency Regulation of a Two-Area System with 100% Renewables in Africa

Fractal and Fractional ◽

10.3390/fractalfract5010002 ◽

2020 ◽

Vol 5 (1) ◽

pp. 2

Author(s):

Hady H. Fayek

Keyword(s):

Power System ◽

Fractional Order ◽

Packet Loss ◽

Pid Controller ◽

Frequency Control ◽

Operating Conditions ◽

Load Frequency Control ◽

Load Frequency ◽

Control Scheme ◽

Non Linear

Remote farms in Africa are cultivated lands planned for 100% sustainable energy and organic agriculture in the future. This paper presents the load frequency control of a two-area power system feeding those farms. The power system is supplied by renewable technologies and storage facilities only which are photovoltaics, biogas, biodiesel, solar thermal, battery storage and flywheel storage systems. Each of those facilities has 150-kW capacity. This paper presents a model for each renewable energy technology and energy storage facility. The frequency is controlled by using a novel non-linear fractional order proportional integral derivative control scheme (NFOPID). The novel scheme is compared to a non-linear PID controller (NPID), fractional order PID controller (FOPID), and conventional PID. The effect of the different degradation factors related to the communication infrastructure, such as the time delay and packet loss, are modeled and simulated to assess the controlled system performance. A new cost function is presented in this research. The four controllers are tuned by novel poor and rich optimization (PRO) algorithm at different operating conditions. PRO controller design is compared to other state of the art techniques in this paper. The results show that the PRO design for a novel NFOPID controller has a promising future in load frequency control considering communication delays and packet loss. The simulation and optimization are applied on MATLAB/SIMULINK 2017a environment.

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Optimal configuration of energy storage system based on frequency hierarchical control in ship power system with solar photovoltaic plant

The Journal of Engineering ◽

10.1049/joe.2017.0583 ◽

2017 ◽

Vol 2017 (13) ◽

pp. 1511-1514 ◽

Cited By ~ 4

Author(s):

Jinrui Tang ◽

Binyu Xiong ◽

Yunhui Huang ◽

Chengqing Yuan ◽

Guoxing Su

Keyword(s):

Energy Storage ◽

Power System ◽

Storage System ◽

Hierarchical Control ◽

Energy Storage System ◽

Optimal Configuration ◽

Solar Photovoltaic ◽

Photovoltaic Plant ◽

Ship Power System

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Parameter identification for load frequency control using fuzzy FOPID in power system

COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering ◽

10.1108/compel-04-2020-0159 ◽

2021 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Ram Kumar ◽

Afzal Sikander

Keyword(s):

Fuzzy Logic ◽

Power System ◽

Parameter Identification ◽

Fractional Order ◽

Optimization Technique ◽

Load Frequency Control ◽

Control Law ◽

Content Type ◽

Load Frequency ◽

Frequency Controller

Purpose This paper aims to suggest the parameter identification of load frequency controller in power system. Design/methodology/approach The suggested control approach is established using fuzzy logic to design a fractional order load frequency controller. A new suitable control law is developed using fuzzy logic, and based on this developed control law, the unknown parameters of the fractional order proportional integral derivative (FOPID) controller are derived using an optimization technique, which is being used by minimizing the integral square error. In addition, to confirm the effectiveness of the proposed control design approach, numerous simulation tests were carried out on an actual single-area power system. Findings The obtained results reveal the superiority of the suggested controller as compared to the recently developed controllers with regard to time response specifications and quantifiable indicators. Additionally, the potential of the suggested controller is also observed by improving the load disturbance rejections under plant parametric uncertainty. Originality/value To the best of the authors’ knowledge, the work is not published anywhere else.

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