title: ÐÐµÑÐ¾Ð´Ñ ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¹ Ð´Ð»Ñ ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÑ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ð¹ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼
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: Methods of control synthesis for stabilization of program movements of energy systems
Creators: name: Ð¨ÐºÑÑÑÐºÐ°Ñ, ÐÐ»Ð¸Ð·Ð°Ð²ÐµÑÐ°
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: 2024
Subjects: Ð¼ÐµÑÐ¾Ð´Ñ ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¹
Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ ÐµÐ²ÐºÐ»Ð¸Ð´Ð¾Ð²Ð¾Ð¹ Ð½Ð¾ÑÐ¼Ñ
Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸
Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»Ð°
ÑÐ»ÐµÐºÑÑÐ¾ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¾Ð±ÑÐµÐ´Ð¸Ð½ÐµÐ½Ð¸Ñ
Ð¿ÑÐ¾ÐµÐºÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¾Ð¿ÐµÑÐ°ÑÐ¾ÑÑ
MatLab
SimInTech
mathematical models
electric power associations
control synthesis methods
minimization of linear functional
minimization of euclidean norm
projection operators

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description: The topic of the final qualifying work: Â«Methods of control synthesis for stabilization of program movements of energy systemsÂ». The work is devoted to the study of the dynamics of electric power systems and the synthesis of optimal controls for the stabilization of program movements. Tasks that were solved during the study: 1) Study of the features of energy systems. 2) Selection of the differential system of equations of energy systems. 3) Formation of a mathematical model of an energy system in the state space. 4) The formation of controls to stabilize the program movements of the system. 5) Study of the dynamics of the system under the influence of synthesized controls. The paper briefly describes the history of the ARCM, the main models of electric power associations are considered. Also, popular methods of synthesizing optimal controls for stabilizing program movements have been studied. As a result, mathematical models are formulated in the form of linear differential operators of energy systems. On their basis, difference schemes have been synthesized to analyze the transients of the studied energy associations. The problem of control synthesis is solved using projection operators at the intersection of a linear manifold and a ball. The asymptotic stability of the synthesized system for limiting active power overflows along power transmission lines of energy connections is proved by mathematical modeling methods based on the developed difference operators. A computational experiment was conducted to prove it. The developed differential and difference operators make it possible to study transients in energy combinations described by linear differential operators.