# Weighted average algorithm adjusted a novel (1 + FOPI)-FOPI-TID controller structure for AGC with integration of non-linearities and cyber-attack

## TL;DR

This paper introduces a new controller for power systems that improves frequency stability and handles cyber-attacks more effectively than existing methods.

## Contribution

A novel (1 + FOPI)-FOPI-TID controller optimized with a weighted average algorithm for robust automatic generation control in smart grids.

## Key findings

- The proposed controller reduces ITAE by 45.3% and improves settling times by 47.7% and 32.8%.
- It shows robustness under ±25% parameter variations and random load changes.
- The controller maintains the lowest RoCoF during cyber-attacks, demonstrating superior resilience.

## Abstract

The integration of diverse energy sources and the advent of smart grids have intensified the challenges in load frequency management (LFM). Modern power systems are increasingly vulnerable to inherent nonlinearities, such as generation rate constraints, governor dead bands, boiler dynamics, and communication delays, as well as sophisticated cyber-attacks, which collectively threaten frequency stability and tie-line power balance. To address these challenges, this study proposes a novel cascade controller, designated as (1 + FOPI)-FOPI-TID, for robust automatic generation control in hybrid two-area power systems. The controller uniquely combines fractional-order (FO) dynamics with a tilt-integral-derivative stage and is optimized using a green metaheuristic, the weighted average algorithm (WAA). The WAA effectively balances exploration and exploitation to achieve superior parameter tuning. The proposed control architecture processes both area control error (ACE) and frequency deviation (ΔF) signals through dedicated stages, enabling enhanced disturbance rejection and transient response. The system model incorporates a comprehensive set of nonlinearities and evaluates resilience against resonance-based cyber-attacks. Comprehensive simulation studies under both AC and HVDC tie-line configurations demonstrate that the WAA-optimized (1 + FOPI)-FOPI-TID controller significantly outperforms existing schemes, including PD-PI, PIFOD-(1 + PI), and PIDF(1 + FOD). Key performance metrics show a 45.3% reduction in the integral of time-weighted absolute error (ITAE) and improvements in settling times of 47.7% for ΔF₁ and 32.8% for ΔF₂. Sensitivity analysis confirms robustness under ± 25% parameter variations and random load perturbations. During cyber-attacks, the controller maintains the lowest Rate of Change of Frequency (RoCoF), underscoring its dual capability in stabilizing grid dynamics and mitigating cyber-physical threats. These results validate the controller’s potential to enhance operational resilience and reliability in future smart grids.