In the fast developing electric power system network, ancillary services like automatic generation control (AGC) plays a vital and significant role to ensure good quality of power supply in the system. To distribute good quality of power, a hybrid AGC system along with an efficient and intelligent controller is compelled. So, in this article, a cascaded proportional‐integral (PI)‐proportional‐derivative (PD) controller with filter (PI‐PDF) is proposed as secondary controller for AGC system. A nature inspired optimization algorithm named as moth flame optimization (MFO) algorithm is employed for simultaneous optimization of controller gains. Initially, a two‐area interconnected nonreheat thermal power system is investigated. Analysis revealed that MFO‐tuned PI controller performs better than the different optimization techniques tuned PI controller for the same system and PI‐PDF controller performs better than PI controller does. Then, the study is extended to a three‐area interconnected hybrid system with proper generation rate constraint. Area‐1 consists of solar thermal‐thermal unit; area‐2 consists of thermal‐hydro unit and area‐3 thermal‐gas unit as generating sources. Performance of PI‐PDF controller is compared with classical controllers such as PI, PID, PIDF, and PI‐PD controller without filter. Result analysis divulges that MFO‐tuned PI‐PDF controller performs better than all other controllers considered in this article. Robustness of the PI‐PDF controller is evaluated using parameter variations and random load variation.

中文翻译：

---

带有太阳能滤网的自动发电控制系统中带过滤器的飞蛾火焰优化优化级联比例积分比例微分控制器

在快速发展的电力系统网络中，诸如自动发电控制（AGC）之类的辅助服务对于确保系统中良好的供电质量起着至关重要的作用。为了分配高质量的电力，必须使用混合AGC系统以及高效智能的控制器。因此，在本文中，提出了带滤波器的级联比例积分（PI）-比例微分（PD）控制器（PI-PDF）作为AGC系统的次级控制器。采用自然界启发的优化算法，称为飞蛾火焰优化（MFO）算法，用于同时优化控制器增益。最初，研究了两区域互联的非再热火电系统。分析显示，对于同一系统，MFO调整的PI控制器的性能优于不同的优化技术调整的PI控制器，而PI-PDF控制器的性能优于PI控制器。然后，将研究扩展到具有适当发电率约束的三区域互连混合系统。Area-1由太阳能热能单元组成；Area-2由热力水力机组和Area-3热力天然气机组组成。将PI‐PDF控制器的性能与不带滤波器的经典控制器（如PI，PID，PIDF和PI‐PD控制器）进行了比较。结果分析显示，MFO调整的PI-PDF控制器的性能优于本文中考虑的所有其他控制器。PI‐PDF控制器的鲁棒性通过参数变化和随机负载变化进行评估。