Abstract

This study proposes a virgin structure of Fuzzy Logic Control (FLC) for Load Frequency Control (LFC) in a dual-area interconnected electrical power system. This configuration benefits from the advantages of fuzzy control and the merits of Fractional Order theory in traditional PID control. The proposed design is based on Fuzzy Cascade Fractional Order Proportional-Integral and Fractional Order Proportional-Derivative (FC FOPI-FOPD). It includes two controllers, namely FOPI and FOPD connected in cascade in addition to the fuzzy controller and its input scaling factor gains. To boost the performance of this controller, a simple and powerful optimization method called the Particle Swarm Optimization (PSO) algorithm is employed to attain the best possible values of the suggested controller’s parameters. This task is accomplished by reducing the Integral Time Absolute Error (ITAE) of the deviation in frequency and tie line power. Furthermore, to authenticate the excellence of the proposed FC FOPI-FOPD, a comparative study is carried out based on the obtained results and those from previously published works based on classical PID tuned by the Losi Map-Based Chaotic Optimization Algorithm (LCOA), Fuzzy PID Optimized by Teaching Learning-Based Optimization (TLBO) algorithm and Fuzzy PID with a filtered derivative mode tuned by PSO, which is employed in the same interconnected power system. The robustness of the suggested fuzzy structure is investigated against the parametric uncertainties of the testbed system. The simulation results revealed that the proposed FC FOPI-FOPD is robust, and it outperformed the other investigated controllers. For example, the drops in the frequency in area one and area two were improved by 89.785% and 97.590%, respectively, based on employing the proposed fuzzy configuration compared with the results obtained from the traditional PID.

Highlights

  • Introduction published maps and institutional affilStability in power systems is an essential issue which requires different actions to address the challenges of this problem, such as Load Frequency Control (LFC) to control the real power and the Automatic Voltage Regulator (AVR) to control the reactive power [1].This paper focuses only on the problem of frequency deviation in power systems, which occurs as a result of the inequality between the load demand and produced power

  • To authenticate the excellence of the proposed FC Fractional Order PI (FOPI)-Fractional Order PD (FOPD), a comparative study is carried out based on the obtained results and those from previously published works based on classical PID tuned by the Losi Map-Based Chaotic Optimization Algorithm (LCOA), Fuzzy PID Optimized by Teaching

  • As mentioned above, the total scaling factor gains for the proposed FC FOPIFOPD are eight parameters which are to be tuned by the Particle Swarm Optimization (PSO) algorithm by reducing the selected Integral Time Absolute Error (ITAE) objective function, namely K1, K2, KP11, KI1, λ1, KP12, KD1, and μ1 for the controller equipped in area one and K3, K4, KP21, KI2, λ2, KP22, KD2, and μ2 for the controller equipped in area two

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Summary

System

The power system model considered in this this study study is is widely widely investigated investigated in in the the literliterature It consists of two areas with unequal parameters. The system comprises different components such as a governor, turbine, load, and machine. The block diagram of the twocomponents such as a governor, turbine, load, and machine. This term includes quency regulation in power systems is the Area Control Error (ACE). B and B deviation are the frequency biases. Power deviation, and B1 and B2 are the frequency biases

The Proposed Controller
Optimization Tool
Results and Discussion
Frequency in area and area twouncertainty under parametric uncertainty cond
Tie line power under the parametric uncertainty
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