High-dimensional Multiple Fractional Order Controller for Automatic Generation Control and Automatic Voltage Regulation

A fractional-order proportional-integral-derivative (FO-PID) with two more fractional-order operations can achieve higher control performance than a proportional-integral-derivative (PID). Besides, an active disturbance rejection controller (ADRC) and a fractional-order active disturbance rejection controller (FO-ADRC) with more input information can obtain higher control performance than a PID, an FO-PID. To obtain higher control performance with more information and more fractional-order operations, this paper proposes a high-dimensional multiple fractional-order controller (HDMFOC). The HDMFOC cascades multiple high-dimensional controllers with fractional-order for a controller. The numerical simulations of an automatic generation control (AGC) system and an automatic voltage regulation (AVR) system compare the proposed approach with four other algorithms, i.e., the PID, FO-PID, ADRC, and FO-ADRC. Then, the HDMFOC achieves the highest control performances for AGC and AVR of power systems through multiple dimensional information and multiple fractional-order operations.

Automated summary

This paper proposes a high-dimensional multiple fractional-order controller (HDMFOC) that achieves higher control performance through multiple fractional-order operations and input information. Comparisons with other algorithms confirm that HDMFOC achieves the highest control performance in automatic generation control and automatic voltage regulation systems.