Oscillatory Stability Analysis Using Eigenvalue Sensitivity
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Solution Overview
Problem
Existing methods for analyzing oscillatory stability in large electrical power transmission systems are computationally intensive and not feasible for real-time operational management, especially when dealing with a multitude of potential contingencies, as they require extensive time-domain simulations for each scenario.
Innovation Solution
A computer-based method that generates a nominal matrix for the power transmission system, calculates eigenvalues and eigenvectors, identifies contingencies, and estimates contingency eigenvalues using first and second-order eigenvalue sensitivity, allowing for the prioritization and detailed analysis of critical contingencies without the need for full eigenvalue recalculation in each post-contingency condition.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If time-domain simulations are performed for each contingency in large power transmission systems, then comprehensive oscillatory stability analysis is achieved, but computational time becomes excessively long and not feasible for real-time operational management
Solution Approach 1:
The patent segments the contingency analysis process into two distinct phases: (1) an offline phase where a nominal system model is created and preprocessed, and (2) an online phase where actual contingency assessments are performed. This segmentation allows computationally intensive eigenvalue calculations to be done once offline, while online assessment requires only minimal calculations, thus resolving the contradiction between comprehensive analysis and computational time.
Solution Approach 2:
The patent performs preliminary actions by pre-calculating and storing the nominal system model, including its eigenvalues and eigenvectors, before actual contingency events occur. This preliminary preparation enables rapid assessment of contingencies during real-time operation without requiring full re-simulation, thereby reducing computational time while maintaining analysis comprehensiveness.
2Productivity
If screening and ranking methods are used to filter contingencies, then computational load is reduced, but accurate identification of critical contingencies requires sufficient analysis depth
Solution Approach 1:
The patent replaces the traditional mechanical time-domain simulation approach with an eigenvalue-based analytical method. By using eigenvalues and eigenvectors of the nominal system model, the patent can quickly assess contingency criticality without performing full dynamic simulations, thus improving computational efficiency while maintaining accurate identification of critical contingencies through mathematical analysis.
Data Source
AI summary
A computer-based method for contingency analysis of oscillatory stability in an electrical power transmission system is provided. The method uses at least one processor. The method includes receiving, by the at least one processor, a plurality of component inputs from a plurality of system components within the electrical power transmission system. The method also includes generating a nominal matrix for the electrical power transmission system. The nominal matrix includes a set of equations at least partially modeling the electrical power transmission system. The method further includes calculating eigenvalues and eigenvectors of the nominal matrix. The method also includes identifying a contingency representing a postulated disturbance of the electrical power transmission system. The method further includes estimating a contingency eigenvalue for the contingency using the eigenvalues and eigenvectors of the nominal matrix.