Hydraulic Turbine Control Stability Margin via Eigenvalue Analysis
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Solution Overview
Problem
Existing methods for calculating the stability margin domain of complex hydraulic turbine regulating systems are inaccurate and often unable to calculate, due to the complexity of multi-machine systems with hydraulic coupling, leading to difficulties in adjusting control parameters for safe and stable operation.
Innovation Solution
A method and system that construct a high-order state space model of the hydraulic turbine regulating system, identify dominant and interference eigenvalues, and calculate participation factors to determine the stability margin domain by traversing control parameters within a PI stability domain, ensuring accurate calculation of the stability margin.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If traditional stability margin solution methods are used for complex hydraulic turbine regulating systems, then the calculation process is simplified, but the accuracy significantly decreases and the method may even be unable to calculate
Solution Approach 1:
The patent segments the complex stability analysis into two distinct parts: identifying dominant eigenvalues that represent the main system characteristics, and separately handling interference eigenvalues that cause calculation errors. This segmentation allows the method to maintain simplicity while improving accuracy by focusing computational effort on the most critical system modes.
Solution Approach 2:
The patent extracts and removes interference eigenvalues from the stability margin calculation process. By identifying eigenvalues that do not represent true system instability (such as those from numerical errors or non-physical modes) and excluding them from the analysis, the method eliminates sources of calculation error while preserving the essential stability assessment.
2Measurement precision
If the system model order is increased to accurately represent multi-machine systems with hydraulic coupling, then the calculation accuracy improves, but the computational complexity increases
Solution Approach 1:
The patent applies dynamic eigenvalue analysis to the high-order system model, focusing on the temporal behavior and oscillation characteristics of different eigenvalues. By analyzing the dynamic response associated with each eigenvalue and using participation factors to identify which modes dominate the system behavior, the method can accurately assess stability without requiring complex computational resources proportional to the full model order.
Data Source
AI summary
The disclosure provides a method and a system for calculating a stability margin domain of the control parameters of a hydraulic turbine regulating system, which belongs to the technical field of stability margin analysis of the hydraulic turbine regulating system. The method includes: determining a high-order state space model of the hydraulic turbine regulating system; determining a dominant eigenvalue and an interference eigenvalue of a state matrix of the high-order state space model; determining an associated state variable of the interference eigenvalue; determining the interference eigenvalues under different target control parameter conditions; determining whether a target control parameter meets a stability margin requirement; and determining the stability margin domain of the control parameter. The present disclosure can accurately calculate the stability margin domain of the complex hydraulic turbine system and help operators quickly identify the control parameters adjustment range meeting adjustment and attenuation requirements of the system.