Nonlinear Oscillation Detection via Lyapunov Exponent
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Solution Overview
Problem
Conventional nonlinear oscillation detection methods in electric power systems are slow and inefficient, requiring large amounts of cumulative data and taking a long time to detect oscillations, which can lead to delayed response and instability in the system.
Innovation Solution
A real-time nonlinear oscillation detection method using a measurement unit to obtain time series data, a change rate calculation unit to calculate the change rate, a plane distance calculation unit to depict a trajectory on a two-dimensional coordinate plane, a regression estimation unit to estimate a nonlinear curve, and a determination unit to calculate the largest Lyapunov exponent, allowing for rapid detection of nonlinear oscillations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If frequency domain based method is used, then detection accuracy is improved, but detection time increases due to requiring large amount of accumulated signal data
Solution Approach 1:
The patent transforms the detection problem from traditional frequency or time domain analysis into a geometric dimension by mapping signal trajectories onto a coordinate plane. By calculating plane distances from origin and analyzing trajectory patterns in this new geometric dimension, the method achieves rapid detection without requiring extensive data accumulation, thus resolving the contradiction between accuracy and detection time.
2Loss of time
If time domain direct detection method using wavelet transformation is used, then detection speed is improved, but detection is only applicable after certain periods of oscillation phenomenon is observed
Solution Approach 1:
The patent performs preliminary geometric transformation of the signal data into trajectory form on a coordinate plane before actual detection. By pre-calculating the trajectory patterns and establishing the geometric framework in advance, the system can immediately detect oscillations as they begin, rather than waiting for multiple oscillation periods to accumulate sufficient data for wavelet transformation.
3Device complexity
If conventional oscillation detection methods are used, then system complexity is reduced, but response time increases making it difficult for operators to take timely action
Solution Approach 1:
The patent extracts only the essential geometric features (trajectory coordinates and plane distances) from the complex signal data, discarding unnecessary information. By focusing detection on these extracted geometric characteristics rather than analyzing the entire complex signal waveform, the method achieves rapid detection with relatively simple computational processes, improving response time without excessive system complexity.
Data Source
AI summary
Provided is a nonlinear oscillation detection method at an electric power system, and a recording medium and apparatus for performing the method. The nonlinear oscillation detection apparatus at the electric power system detects various kinds of nonlinear oscillation occurring at the electric power system by applying a nonlinear oscillation precognition algorithm based on a nonlinear dynamic theory to the time series information measured at the electric power system.