title: ÐÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð²ÐµÐºÑÐ¾ÑÐ½ÑÑ 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° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Method and algorithm for the investigation of the stability of dynamical systems based on vector Lyapunov functions
Creators: name: ÐÑÑÐ¼Ð¾Ð², ÐÐ¸ÑÐ°Ð»Ð¸Ð¹
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: Ð¤ÑÐ½ÐºÑÐ¸Ð¸ (Ð¼Ð°Ñ.) ÐÑÐ¿ÑÐ½Ð¾Ð²Ð°
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decomposition

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description: This work addresses the method and algorithm for the investigation of the stability of dynamical systems based on vector Lyapunov functions in the settings of complex power systems. Problems which were solved during the research: 1. Dynamic system stability works were reviewed by the means of different methods, including the vector Lyapunov function method 2. Electric power coupling comparison system was created 3. A block diagram was developed for mathematical modeling in MATLAB Simulink environment 4. The algorithm was described and implemented in the programming language of the MATLAB package 5. The stability was analyzed with the means of the designed algorithm according to the described methodology with the example of a power interconnection of 3 machines. In this work a majorizing comparison model of the power system was obtained. It relies on the decomposition of the system with diagonal dominance of state matrix block elements Block diagrams were built with the purpose of modelling in Simulink environment. The influence of various states on complex system output results was studied. It is shown that ensuring the stability of isolated subsystems in weak coupling settings sustains the stability of the entire complex system.