Abstract In this paper, fractional order proportional-integral-derivative (FOPID) and tilted-integral-derivative (TID) controllers are applied in the design of load frequency controller (LFC). Tuneable parameters are adjusted via an improved particle swarm optimization algorithm which is powered by chaotic parameter and crossover operator to find a globally optimal solution. The FOMCON toolbox is employed within MATLAB/Simulink for implementing fractional order modeling and control. A two-area diverse-unit power system is examined considering the physical constraints of generation rate constraint and governor dead band. Comparative evaluations demonstrate that the FOPID-based LFC achieves the greatest dynamic performance under different load disturbance patterns. Sensitivity analysis is carried out to demonstrate the robustness of the proposed LFCs under wide variations in the system loading condition and parameter.

中文翻译：

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考虑GDB和GRC效应的两区域多机组电力系统LFC中分数阶控制器的比较性能评估

摘要 本文将分数阶比例积分微分（FOPID）和倾斜积分微分（TID）控制器应用于负载频率控制器（LFC）的设计中。可调参数通过改进的粒子群优化算法进行调整，该算法由混沌参数和交叉算子提供支持，以找到全局最优解。FOMCON 工具箱在 MATLAB/Simulink 中用于实现分数阶建模和控制。考虑到发电率约束和调速器死区的物理约束，研究了一个两区域多单元电力系统。比较评估表明，基于 FOPID 的 LFC 在不同负载扰动模式下实现了最大的动态性能。