Characteristics Analysis and Fuzzy Fractional-Order PID Parameter Optimization for Primary Frequency Modulation of a Pumped Storage Unit Based on a Multi-Objective Gravitational Search Algorithm

Wu, Xin; Xu, Yanhe; Liu, Jie; Lv, Cong; Zhou, Jianzhong; Zhang, Qing

doi:10.3390/en13010137

Cited by 24 publications

(12 citation statements)

References 36 publications

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“…In [17], it was focused on the design of the fractional-order PID (FOPID) controller for the HTGS and the optimal control parameters were obtained using NSGA-II. In [18], the fuzzy fractional-order PID (FFOPID) controller is designed to improve the stability of the nonlinear pumped storage unit(PSU), and the control parameters of the FOPID are optimized based on the multi-objective gravitational search algorithm (MOGSA).…”

Section: Symbolmentioning

confidence: 99%

Stability and Sensitivity Analysis and Optimization Control of the Hydro-turbine Generator Unit

Shi

Zhou

2021

Preprint

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The hydro-turbine governing system (HTGS) and shafting system are mutually coupled. However, the interaction between them has always been neglected. This paper aims to explore the stability and sensitivity of the governor control parameters to the HTGS and shafting system and make the optimal control of the stable operation for the hydro-turbine generator unit(HTGU). First, a novel HTGU motion equation is proposed, which can make connections between the HTGS and the shafting system of the HTGU. And on this basis, the nonlinear coupling mathematical model of the HTGS and the shafting system is established. According to the nonlinear mathematical model, the sensitivity of the governor control parameters on the operating stability of the HTGU is obtained. Then, a multi-objective governor control parameters optimization strategy is proposed. Furthermore, the chaotic-dominated sorting genetic algorithm II(NSGA-II) and multi-objective evolutionary algorithm based on decomposition(MOEAD) were introduced to obtain the optimal control parameter and mutually verify the effectiveness of the optimization effect. Finally, the nonlinear dynamic characteristics of HTGU under optimal control were revealed. The simulation results show that the rotation speed deviation and shafting system vibrations are sensitive on the PID parameters in some ranges and the stable region will be decreased when considering the shafting system vibrations. The multi-objective PID parameter optimization strategy shows good control performance on the nonlinear dynamic characteristics of the HTGU. The shafting system vibrations excited by the coupled vibration sources are quasi-period in 3D space. In addition to this, these results and the optimization strategy can provide some bases for the design and stable operation of the HTGU.

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Section: Symbolmentioning

confidence: 99%

Stability and Sensitivity Analysis and Optimization Control of the Hydro-turbine Generator Unit

Shi

Zhou

2021

Preprint

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“…e fitness function value of each particle is calculated, as shown in equations (18) and (19). Chemotaxis local search operation is carried out for global optimal particles and global worst particles of the current algebra according to a certain number of chemotactic steps and moving steps.…”

Section: Satisfy the End Conditionmentioning

confidence: 99%

“…e traditional PID controller cannot adjust the frequency fluctuation of PSU well. In recent years, FOPID controller has been used in a lot of research studies [19,20]. Xu et al designed an adaptive fast fuzzy fractional-order PID controller to improve the dynamic performance of pumped storage units under low water head no-load condition [21].…”

Section: Introductionmentioning

confidence: 99%

Characteristic Analysis and Optimal Regulation of Primary Frequency Regulation Condition in Low Water Head Area Based on Hydraulic-Mechanical-Electrical Coupling Model of Pumped Storage Unit

et al. 2020

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Pumped storage power station is an important regulating tool for peak load regulation and frequency regulation of the power grid, especially its primary frequency regulation function, which is of profound significance for the safety and stability of the power grid. As the core equipment of the pumped storage power station, the reversible design of the pump turbine makes it easy to have hydraulic fluctuation and mechanical instability when the unit runs to the “S” characteristic area, which will cause the frequency oscillation of the generator under the condition of primary frequency regulation. Therefore, some innovative work is studied in this paper: (1) an accurate hydraulic-mechanical-electrical coupling system mathematical model of pumped storage unit regulation system (PSURS) is established based on full characteristic curve of the pump turbine and seventh-order synchronous generator and excitation system; (2) the dynamic response characteristics of primary frequency regulation of pumped storage unit (PSU) under different water heads and different frequency disturbances are analyzed by numerical simulation; (3) in view of the unstable condition of the unit under the large frequency disturbance when it operates in the low head and small load area, the objective optimization function considering the ITAE index of hydraulic, mechanical, and electrical factors is proposed; and (4) fractional-order PID controller and the bacterial-foraging chemotaxis gravitational search algorithm (BCGSA) combined optimization strategy is used for PSURS optimization regulation and parameter optimization. The results show that the joint optimization strategy proposed in this paper has smaller objective function value, and makes the PSURS pass through the unbalanced area quickly, with better primary frequency regulation speed and smaller regulation depth.

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“…Kumar et al [28] investigated the design of a cascade fractional-order fuzzy PI and PD controller for a hybrid electric vehicle based on a multi-objective genetic algorithm. The fuzzy FOPID controllers have been widely used in various applications such as vibration isolation structure [29], pneumatic pressure system [30], pumped storage unit regulating system [31], and Automatic Generation Control (AGC) for electrical power systems [8], [13]. It is evident from the literature that combining fuzzy logic with fractional operators could further improve the feedback control system's robustness.…”

Section: Introductionmentioning

confidence: 99%

Electronically Tunable ACO Based Fuzzy FOPID Controller for Effective Speed Control of Electric Vehicle

2021

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The phenomenal growth of the Electric Vehicle (EV) technology demands efficient and intelligent control strategies for the propulsion system. In this work, a novel fuzzy fractional order PID (FOPID) controller using Ant Colony Optimization (ACO) algorithm has been proposed to control EV speed effectively. The controller parameters and the fuzzy logic controller's membership functions are tuned and updated in real-time using the multi-objective ACO technique. The proposed controller's speed tracking performance is verified using the new European driving cycle (NEDC) test in the MATLAB-Simulink platform. The proposed controller outperforms the ACO-based fuzzy integer-order PID (IOPID), FOPID, and traditional IOPID controllers. The sensitivity analysis confirms the robustness of the proposed controller for varying parameters of the EV model. The stabilization of EV speed in the presence of external disturbance is also confirmed. In the proposed work, an attempt is made to analyze the system's stability using Matignon's theorem, considering the linearized EV model. The proposed controller gives optimum speed tracking performance compared to the Genetic Algorithm (GA) and the Particle Swarm Optimization (PSO) based fuzzy FOPID controllers. Additionally, the optimized fuzzy FOPID controller is realized using a secondgeneration current conveyor with extra inputs (EX-CCII) and fractional-order capacitors with electronic tunability. The controller circuit's performance evaluation is carried out in the Cadence Analog Design Environment using GPDK 180 nm CMOS process.

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Characteristics Analysis and Fuzzy Fractional-Order PID Parameter Optimization for Primary Frequency Modulation of a Pumped Storage Unit Based on a Multi-Objective Gravitational Search Algorithm

Cited by 24 publications

References 36 publications

Stability and Sensitivity Analysis and Optimization Control of the Hydro-turbine Generator Unit

Stability and Sensitivity Analysis and Optimization Control of the Hydro-turbine Generator Unit

Characteristic Analysis and Optimal Regulation of Primary Frequency Regulation Condition in Low Water Head Area Based on Hydraulic-Mechanical-Electrical Coupling Model of Pumped Storage Unit

Electronically Tunable ACO Based Fuzzy FOPID Controller for Effective Speed Control of Electric Vehicle

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