Electrical Arc Prediction Using Hankel-SVD Signal Analysis
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Solution Overview
Problem
Conventional electrical protection devices can only react after an electrical arc has occurred, which can lead to equipment damage and potential human harm due to the inability to predict and prevent arc faults.
Innovation Solution
A method and system for predicting electrical arcs in an electrical protection device by analyzing time series data from the electrical circuit. This involves constructing a Hankel matrix, performing singular value decomposition, delay coordinate embedding, and calculating a threshold coefficient to detect an electrical signature indicating an upcoming arc.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional electrical protection devices are used to handle arc events, then the devices can quench the electrical arc after it occurs, but the devices cannot predict upcoming arc events, leading to equipment damage and potential loss of human life
Solution Approach 1:
The system performs preliminary analysis of time series electrical data using Hankel matrix construction, singular value decomposition, and delay coordinate embedding to detect electrical signatures indicating upcoming arc events before they occur. This preliminary detection enables the protection device to prepare and respond in advance, transforming reactive arc quenching into proactive arc prevention.
2Object-affected harmful factors
If the protection device waits for the electrical arc to occur before responding, then the device structure remains simple, but the device cannot prevent equipment damage and human injury
Solution Approach 1:
The patent replaces simple reactive mechanical switching with a sophisticated prediction system based on mathematical analysis (Hankel matrix, singular value decomposition, delay coordinate embedding). This substitution enables the device to analyze electrical signatures and predict arc events, providing comprehensive protection despite increased system complexity.
3Measurement precision
If conventional arc detection methods are used, then the device can detect arcs after they occur, but the device misses early warning signs of upcoming arc events
Solution Approach 1:
The system continuously monitors time series electrical data and uses feedback from Hankel matrix analysis and singular value decomposition to detect electrical signatures. This feedback mechanism identifies patterns indicating upcoming arc events, preventing information loss and enabling timely prediction before arcs occur.
Data Source
AI summary
A system and method for predicting electrical arcs in an electrical circuit is provided. A time series data of the electrical circuit is received by a prediction system which is configured to detect an electrical signature indicating an upcoming electrical arc. The prediction system constructs Hankel matrix using the time series data which is decomposed using SVD to obtain a singular vector in which delay coordinate embedding is performed to generate reconstructed singular vector which includes plurality of eigen time delay coordinates. Further, threshold coefficient ‘r’ is calculated from the reconstructed singular vector. A first set of eigen time delay coordinates is identified in the reconstructed singular vector based on ‘r’ which are rth eigen time delay coordinates. A rate of change in magnitude of rth eigen time delay coordinates is calculated to detect the electrical signature based on which the upcoming electrical arc is predicted.


