AVR Fractional-Order Controller Based on Caputo-Fabrizio Fractional Derivatives and Integral Operators

被引：0

作者：

Lozynskyy, Andriy ^{[1
,2
]}

Kozyra, Jacek ^{[1
]}

Kutsyk, Andriy ^{[2
,3
]}

Lukasik, Zbigniew ^{[1
]}

Kusminska-Fijalkowska, Aldona ^{[1
]}

Kasha, Lidiia ^{[2
]}

Lishchuk, Andriy ^{[2
]}

机构：

[1] Casimir Pulaski Radom Univ, Fac Transport Elect Engn & Comp Sci, PL-26600 Radom, Poland

[2] Lviv Polytech Natl Univ, Inst Power Engn & Control Syst, Lvov, Ukraine

[3] Rzeszow Univ Technol, Fac Elect & Comp Engn, PL-35959 Rzeszow, Poland

来源：

ENERGIES | 2024年 / 17卷 / 23期

关键词：

synchronous generator; automatic voltage regulation; small modular reactor; fractional-order controller; control system design; stability analysis; robust control; MULTIMACHINE POWER-SYSTEMS; EXCITATION CONTROLLER; TURBINE-GENERATOR; FREQUENCY CONTROL; DESIGN; ENERGY; MODEL;

D O I：

10.3390/en17235913

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

The application of a fractional-order controller (FOC) using the Caputo-Fabrizio representation in the automatic voltage regulation (AVR) system of a synchronous generator is shown in this paper. The mathematical model of the system is created and the adequacy of the model is confirmed. The efficiency of the proposed regulator in different operating regimes is demonstrated. In particular, the proposed controller improves voltage regulation in a wide range of changes in the coordinates that characterize the power system operation mode, and it increases the system's robustness to both uncertainties and nonlinearities that often occur in power systems. The synthesized fractional-order regulator provides higher response and control accuracy compared to traditional regulators used in automatic voltage regulation (AVR) systems.

引用

页数：21

共 50 条

[31] Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator
Shah, Nehad Ali
El-Zahar, Essam R.
Chung, Jae Dong
JOURNAL OF FUNCTION SPACES, 2022, 2022
[32] A comparative study of Atangana-Baleanu and Caputo-Fabrizio fractional derivatives to the convective flow of a generalized Casson fluid
Sheikh, Nadeem Ahmad
Ali, Farhad
Saqib, Muhammad
Khan, Ilyas
Jan, Syed Aftab Alam
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (01):
[33] Application of Fractional-Order Controller
Gertner, Magdalena
NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2019, 496 : 195 - 203
[34] An Adaptive Fractional-Order Controller
Petras, Ivo
PROCEEDINGS OF THE 2013 14TH INTERNATIONAL CARPATHIAN CONTROL CONFERENCE (ICCC), 2013, : 297 - 301
[35] Fractional Order Robust Controller for Fractional-Order Interval Plants
Mihaly, Vlad
Susca, Mircea
Dulf, Eva H.
Morar, Dora
Dobra, Petru
IFAC PAPERSONLINE, 2022, 55 (25): : 151 - 156
[36] Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a Caputo-Fabrizio derivative
Mahdy, Amr M. S.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, : 7360 - 7377
[37] One-Dimensional Consolidation of Viscoelastic Soils Incorporating Caputo-Fabrizio Fractional Derivative
Huang, Minghua
Lv, Chang
Zhou, Suhua
Zhou, Shuaikang
Kang, Jiatao
APPLIED SCIENCES-BASEL, 2021, 11 (03): : 1 - 17
[38] FRACTIONAL DESCRIPTOR CONTINUOUS-TIME LINEAR SYSTEMS DESCRIBED BY THE CAPUTO-FABRIZIO DERIVATIVE
Kaczorek, Tadeusz
Borawski, Kamil
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2016, 26 (03) : 533 - 541
[39] Existence and Stability Results for Piecewise Caputo-Fabrizio Fractional Differential Equations with Mixed Delays
Kattan, Doha A.
Hammad, Hasanen A.
FRACTAL AND FRACTIONAL, 2023, 7 (09)
[40] A closed form expression for the Gaussian-based Caputo-Fabrizio fractional derivative for signal processing applications
Cruz-Duarte, Jorge M.
Rosales-Garcia, Juan
Rodrigo Correa-Cely, C.
Garcia-Perez, Arturo
Gabriel Avina-Cervantes, Juan
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 61 : 138 - 148

← 1 2 3 4 5 →