title: ÐÑÐµÐ½ÐºÐ° Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÐ½ÐµÑÐ³Ð¾ÑÐ¸ÑÑÐµÐ¼Ñ Ð¡ÐµÐ²ÐµÑÐ¾-ÐÐ°Ð¿Ð°Ð´Ð° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ¸Ð½Ñ ÑÐ¾Ð½Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ Ð²ÐµÐºÑÐ¾ÑÐ½ÑÑ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹
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: Evaluation of dynamic models of the North-West power system based on phasor measurement data
Creators: name: Ð¡ÑÐ²Ð¾ÑÐ¾Ð²Ð°, ÐÐ¸ÐºÑÐ¾Ñ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: 2024
Subjects: Ð­Ð½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÐ¸ÑÑÐµÐ¼Ñ
ÑÐ¸ÑÑÐµÐ¼Ð° Ð¼Ð¾Ð½Ð¸ÑÐ¾ÑÐ¸Ð½Ð³Ð° Ð¿ÐµÑÐµÑ Ð¾Ð´Ð½ÑÑ ÑÐµÐ¶Ð¸Ð¼Ð¾Ð²
Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
Ð¿Ð¾Ð´Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸
wide area measurement system
dynamic model
subspace identification methods

description: Ð­ÑÐ° ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸Ð·ÑÑÐµÐ½Ð¸Ñ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Ð¾ÑÐµÐ½ÐºÐ¸ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¡ÐµÐ²ÐµÑÐ¾-ÐÐ°Ð¿Ð°Ð´Ð° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð² ÑÐ°ÑÑÐ¾ÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸. Ð Ð¿ÑÐ¾ÑÐµÑÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: 1. Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ðº Ð´Ð°Ð½Ð½ÑÐ¼, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐ¼ Ð¾Ñ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¼Ð¾Ð½Ð¸ÑÐ¾ÑÐ¸Ð½Ð³Ð° Ð¿ÐµÑÐµÑÐ¾Ð´Ð½ÑÑ ÑÐµÐ¶Ð¸Ð¼Ð¾Ð² (Ð¡ÐÐÐ ). 2. ÐÐ±ÑÐ°Ð±Ð¾ÑÐºÐ° Ð´Ð°Ð½Ð½ÑÑ, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð¾Ñ Ð¡ÐÐÐ  Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¿ÐµÑÐµÑÐ¾Ð´Ð½ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð², Ð²Ð¾Ð·Ð½Ð¸ÐºÐ°ÑÑÐ¸Ñ Ð¿ÑÐ¸ Ð°Ð²Ð°ÑÐ¸Ð¹Ð½ÑÑ Ð²Ð¾Ð·Ð¼ÑÑÐµÐ½Ð¸ÑÑ Ð² ÑÐ½ÐµÑÐ³Ð¾ÑÐ¸ÑÑÐµÐ¼Ðµ; 3. Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¿Ð¾Ð´Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½Ð¾Ð¹ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ½ÐµÑÐ³Ð¾ÑÐ¸ÑÑÐµÐ¼Ñ Ð² Ð²Ð¸Ð´Ðµ Ð´Ð¸ÑÐºÑÐµÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð² Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹; 4. Ð¸Ð·ÑÑÐµÐ½Ð¸Ðµ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»Ð° ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð²Ð¸Ð´Ð° (Ð¼ÐµÑÐ¾Ð´ Ð¥Ð°Ð¼Ð¼ÐµÑÑÑÐ°Ð¹Ð½Ð°-ÐÐ¸Ð½Ð½ÐµÑÐ°, ARX-Ð¼Ð¾Ð´ÐµÐ»Ñ). ÐÐ·ÑÑÐµÐ½Ñ Ð¼ÐµÑÐ¾Ð´Ñ ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð², Ð²ÐºÐ»ÑÑÐ°Ñ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¤ÑÑÑÐµ Ð¸ Ð¼ÐµÑÐ¾Ð´ ÐÑÐ¾Ð½Ð¸, Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐµÐ¹ Ð¸ÑÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð² ÑÐ°ÑÑÐ¾ÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸. Ð ÑÐ¾Ð¼ ÑÐ¸ÑÐ»Ðµ Ð¸Ð·ÑÑÐµÐ½Ñ Ð¿Ð¾Ð´Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½ÑÐµ Ð¸ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð² Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹ Ð¸Ð»Ð¸ Ð² Ð²Ð¸Ð´Ðµ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÑ ÑÑÐ½ÐºÑÐ¸Ð¹ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð´Ð°Ð½Ð½ÑÑ Ð¾Ñ Ð¡ÐÐÐ .
description: This work focuses on investigating the feasibility of estimating dynamic models of a certain part of the Northwest power system using parameters in the frequency domain. The following tasks were considered in the research process: 1. Application of frequency-time analysis techniques to data obtained from a wide area measurement system (WAMS); 2. Processing of the data obtained from the WAMS to determine the parameters of transients occurring during emergency disturbances in the power system; 3. Study of methods of subspace identification of the dynamic model of the power system in the form of a discrete model in the state space; 4. Study of the possibilities of methods of nonlinear identification of models using a functional of various kinds (Hammerstein-Winner method, ARX-model). Methods of frequency-time analysis of signals, including Fourier transform and Prony method, are studied to determine the features of the original signal in the frequency domain. Including subspace and nonlinear identification methods, which determine the parameters of the dynamic model in state space or as nonlinear functions using data from the WAMS, are studied.