<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This article uses fifth-order nonlinear differential equations to describe the dynamic process of electrical automation control systems. This method first derives the equivalent system of the nonlinear fuzzy global system and then uses the orthogonal polynomial series expansion technique and its integral operation matrix. The local manifold at the dominant unstable equilibrium point of a single-machine infinite-bus system after a failure described by a two-dimensional quadratic nonlinear differential equation is calculated, and the stability boundary of the power system is obtained. The research results show that the output frequency fluctuation of the electrical automation control system is small after the algorithm is adopted, and the intelligent control system can accurately diagnose and warn the electrical faults. The system can meet the requirements of online voltage coordinated control.</p>
</abstract>

This article uses fifth-order nonlinear differential equations to describe the dynamic process of electrical automation control systems. This method first derives the equivalent system of the nonlinear fuzzy global system and then uses the orthogonal polynomial series expansion technique and its integral operation matrix. The local manifold at the dominant unstable equilibrium point of a single-machine infinite-bus system after a failure described by a two-dimensional quadratic nonlinear differential equation is calculated, and the stability boundary of the power system is obtained. The research results show that the output frequency fluctuation of the electrical automation control system is small after the algorithm is adopted, and the intelligent control system can accurately diagnose and warn the electrical faults. The system can meet the requirements of online voltage coordinated control.

Application of Nonlinear Differential Equation in Electric Automation Control System

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

This article uses fifth-order nonlinear differential equations to describe the dynamic process of electrical automation control systems. This method first...

Application of Nonlinear Differential Equation in Electric Automation Control System

Published Online: Jun 06, 2023

Page range: 219 - 228

Received: Jan 19, 2022

Accepted: Mar 20, 2022

DOI: https://doi.org/10.2478/amns.2022.2.00002

Keywords
Nonlinear differential equation, Electrical automation control system, Voltage coordinated control, Model predictive control

© 2023 Feng Zhu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Application of Nonlinear Differential Equation in Electric Automation Control System

Published Online: Jun 06, 2023

Page range: 219 - 228

Received: Jan 19, 2022

Accepted: Mar 20, 2022

DOI: https://doi.org/10.2478/amns.2022.2.00002

KeywordsNonlinear differential equation, Electrical automation control system, Voltage coordinated control, Model predictive control

© 2023 Feng Zhu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Nonlinear differential equation, Electrical automation control system, Voltage coordinated control, Model predictive control