title: ÐÐµÑÐ¾Ð´ ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ ÑÐ»ÐµÐºÑÑÐ¾ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÑÐ½ÐºÑÐ¸Ð¹ ÐÑÐ¿ÑÐ½Ð¾Ð²Ð°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Method for synthesizing the stability of electric power systems based on Lyapunov functions
Creators: name: Ð¡Ð¾ÐºÐ¾Ð»ÐºÐ¾, ÐÐ½Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ
ÑÑÐ½ÐºÑÐ¸Ð¸ ÐÑÐ¿ÑÐ½Ð¾Ð²Ð°
Ð¼Ð°ÑÑÐ¸ÑÐ½ÑÐµ Ð½ÐµÑÐ°Ð²ÐµÐ½ÑÑÐ²Ð°
ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ
Ð¼ÐµÑÐ¾Ð´ ÐÐµÐ»Ð»Ð¼Ð°Ð½Ð°
stability
Lyapunov functions
matrix inequalities
control
Bellman method

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐµÑÐ¾Ð´ ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ ÑÐ»ÐµÐºÑÑÐ¾ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÑÐ½ÐºÑÐ¸Ð¹ ÐÑÐ¿ÑÐ½Ð¾Ð²Ð°Â». ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð°Ð½Ð°Ð»Ð¸Ð·Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð¿Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐµÐ¾ÑÐ¸Ð¸ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ ÑÐ¸ÑÑÐµÐ¼, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ¸Ð½ÑÐµÐ·Ñ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾Ð¹ ÑÐ»ÐµÐºÑÑÐ¾ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ. ÐÐ°Ð´Ð°ÑÐ¸, ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð½ÑÐµ Ð² Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ: 1) ÐÐ±Ð·Ð¾Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð¿Ð¾ ÑÐµÐ¼Ð°ÑÐ¸ÐºÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸, ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¸Ðµ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ Ð¿Ð¾Ð½ÑÑÐ¸Ð¹ Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ. 2) Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ. 3) ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð´Ð»Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ð¾Ð¹ Ð¿ÑÑÐ¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ°. 4) ÐÐµÑÐ¾Ð´ Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¿Ð¾ ÐÑÐ¿ÑÐ½Ð¾Ð²Ñ. 5) Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°. ÐÑÐ¸ Ð¿Ð¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÐµ Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ ÑÑÐ½Ð´Ð°Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐµ ÑÐ°Ð±Ð¾ÑÑ Ð.Ð. ÐÑÐ¿ÑÐ½Ð¾Ð²Ð° Ð¿Ð¾ ÑÐµÐ¾ÑÐ¸Ð¸ Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð½Ð°ÑÑÐ½ÑÐµ ÑÑÑÐ´Ñ Ð.Ð. ÐÐ¾Ð·Ð»Ð¾Ð²Ð°. ÐÑÐµ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼ÑÐµ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð³ÑÐ°ÑÐ¸ÐºÐ¾Ð² Ð² Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ°ÑÑÐ¸ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ñ Ð² ÑÑÐµÐ´Ðµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ MATLAB.
description: The subject of the graduate qualification work is Â«Method for synthesizing the stability of electric power systems based on Lyapunov functionsÂ». This work is devoted to the analysis of research on the application of the theory of system stability, as well as the synthesis of a sustainable electric power system. The research set the following goals: 1) Review of research on this topic, consideration of the basic concepts and methods of control synthesis. 2) Development of a method for the synthesis of control of the electric power system. 3) Application of the developed algorithm to control the fifth-order electric power system. 4) Analysis of the stability of the system. In preparing the final qualification work, the scientific works of V. N. Kozlov on the theory of automatic control, as well as the fundamental works of A. M. Lyapunov, were used. All necessary calculations and plotting in the practical part of the work were performed in the MATLAB development environment.