title: ÐÐ¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ Ñ Ð°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð² Ð¼Ð°Ð»ÑÑ ÑÐ½ÐµÑÐ³Ð¾ÑÐ¸ÑÑÐµÐ¼Ð°Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Suppression of chaotic oscillations in small power systems
Creators: name: ÐÐ¾ÑÑÑÐµÐ²Ð°, Ð®Ð»Ð¸Ñ
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: 2021
Subjects: Ð­Ð½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÐ¸ÑÑÐµÐ¼Ñ
ÐÐ¸ÑÑÑÐºÐ°ÑÐ¸Ð¸ (Ð¼Ð°Ñ.)
ÐÐ¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ð¹ Ñ Ð°Ð¾Ñ
ÐÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ñ
ÐÐ²Ð¸Ð¶ÐµÐ½Ð¸Ðµ
ÐÐ²ÑÐ¾Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ
ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð°ÑÐ¸Ñ
Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ
Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»Ð¸ Ð»ÑÐ¿ÑÐ½Ð¾Ð²Ð°
Ð¼ÐµÑÐ¾Ð´
ÑÐ¸Ð½ÑÐµÐ·
stabilization
parameters
characteristic exponent of lyapunov
method
synthesis

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð² Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼Ð¾Ð¹ Ð¼Ð°Ð»Ð¾Ð¹ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ðµ. Ð ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð° ÑÐµÑÐµÐ½Ñ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: 1. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ðµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð¿ÑÑÐµÐ¼ Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¸Ñ Ðº ÑÐµÐ³ÑÐ»ÑÑÐ½ÑÐ¼ Ð¸Ð»Ð¸ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²ÑÐ¼ ÑÐ¾ÑÐºÐ°Ð¼. 2. ÐÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð° Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð½Ð° Ð¿ÑÐµÐ´Ð¼ÐµÑ Ð½Ð°Ð»Ð¸ÑÐ¸Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹. 3. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½ ÑÐ¸Ð½ÑÐµÐ· Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐµÑÐµÐ½Ð¸Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¡Ð¸Ð»ÑÐ²ÐµÑÑÑÐ°. 4. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½ ÑÐ¸Ð½ÑÐµÐ· ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¼ÐµÑÐ¾Ð´Ð° ÐÐ°Ð³Ð½Ð¸ÑÐºÐ¾Ð³Ð¾. 5. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· Ð´Ð²ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ð¾Ð¹. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ» Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¼ÐµÑÐ¾Ð´Ð¾Ð², ÐºÐ¾ÑÐ¾ÑÑÐµ Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÐ»Ð¸ÑÑ Ðº Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ½ÐµÑÐ³Ð¾ÑÐ¸ÑÑÐµÐ¼Ñ, Ð° Ð¸Ð¼ÐµÐ½Ð½Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÑÐ¼Ð¸ ÐÑÐ¿ÑÐ½Ð¾Ð²Ð° Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÐÐ°Ð³Ð½Ð¸ÑÑÐºÐ¾Ð³Ð¾. ÐÐ· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ, Ð²Ð¸Ð´Ð½Ð¾, ÑÑÐ¾ Ð¼ÐµÑÐ¾Ð´ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÑÐ¼Ð¸ ÐÑÐ¿ÑÐ½Ð¾Ð²Ð° Ð´Ð»Ñ Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¾ÐºÐ°Ð·Ð°Ð»ÑÑ Ð±Ð¾Ð»ÐµÐµ ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐ¼, ÑÐµÐ¼ Ð¼ÐµÑÐ¾Ð´ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÐÐ°Ð³Ð½Ð¸ÑÑÐºÐ¾Ð³Ð¾.
description: This work is devoted to the suppression of chaotic oscillations in the small energy system under study. In the course of the study, the following tasks were solved: 1. The existing methods of suppressing chaotic oscillations by bringing them to regular or stable points are considered. 2. The model under study is analyzed for the presence of chaotic oscillations. 3. The synthesis is based on the solution of the Sylvester equation. 4. Control synthesis based on the Magnitsky method is performed. 5. The analysis of two methods of control of a nonlinear dynamic system is made On the basis of the obtained results, a comparative analysis of the methods that were applied to the power system model, namely, the Lyapunov characteristic parameters control method and the Magnitsky control method, was performed. The result shows that the Lyapunov control method for the system under study was more effective than the Magnitsky control method.