Open AccessNon‐linear dynamics based sub‐synchronous resonance index by using power system measurement data
Author(s) -
Cho Hwanhee,
Oh Seungchan,
Nam Suchul,
Lee Byongjun
Publication year - 2018
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2018.5414
Subject(s) - lyapunov exponent , control theory (sociology) , mathematics , floquet theory , linear system , oscillation (cell signaling) , trajectory , signal (programming language) , electric power system , mathematical analysis , power (physics) , nonlinear system , computer science , physics , control (management) , quantum mechanics , artificial intelligence , astronomy , biology , genetics , programming language
This study proposes a time‐series analysis approach and a non‐linear dynamics originated method to detect sub‐synchronous oscillation in power systems. Mathematical expressions of the fundamental instantaneous signal and sample discrete signal of peak values are derived to examine the phenomenon of interaction between power system components. The results of the circulating trajectory are shown in a two‐dimensional map of the calculated root‐mean‐square value and estimated Floquet multiplier when two signals of different modes are mixed. Without applying a digital filter or frequency decomposition, non‐linear oscillation detection is possible by monitoring a non‐linear oscillatory index based on the maximum Lyapunov exponent.