Distributed Power System Stability Criterion for Control Time Delays
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current methods lack a stability criterion for time-delays in cyber-physical power systems under distributed control, which is crucial for assessing system stability and optimizing scheduling and control services, especially with the increasing reliance on distributed architectures.
Innovation Solution
A stability criterion is developed by establishing a cyber side model and a physical power grid model, forming unified differential algebraic equations, and solving the time-delay characteristic equation to determine the maximum characteristic root, thereby assessing system stability under different time-delays.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If distributed control architecture is adopted in cyber-physical power systems, then system adaptability and scalability are improved, but stability analysis capability under time-delay conditions deteriorates due to lack of appropriate criterion methods
Solution Approach 1:
The system is segmented into multiple distributed control nodes, each with its own controller and time-delay characteristics. The overall system stability is analyzed by segmenting the characteristic equation into node-specific components, allowing independent analysis of each node's time-delay impact while maintaining system-wide stability assessment.
Solution Approach 2:
The patent transforms the stability analysis problem by changing parameters from centralized to distributed control configurations. It derives new stability criterion expressions that accommodate variable time-delays at different distributed nodes, enabling stability assessment under distributed control parameter settings rather than centralized assumptions.
2Ease of operation
If centralized control methods are used for stability criterion analysis, then analysis simplicity is maintained, but applicability to distributed control systems deteriorates
Solution Approach 1:
The derived stability criterion expressions serve multiple functions: they can analyze both centralized and distributed control systems, handle different time-delay scenarios, and apply to various types of cyber-physical power systems. The unified mathematical framework provides universal applicability across different control architectures while maintaining analytical tractability.
3Reliability
If time-delay is increased in distributed control systems, then communication robustness is improved, but system stability deteriorates due to delayed control commands
Solution Approach 1:
The patent applies preliminary anti-action by deriving stability criterion expressions that predict instability conditions before they occur. By analyzing the characteristic roots of the system equations, the method identifies critical time-delay thresholds in advance, allowing operators to adjust control parameters or communication settings before stability is compromised.
Solution Approach 2:
The stability analysis framework incorporates feedback mechanisms where the characteristic root analysis provides information about system stability status. This feedback is used to determine whether current time-delay levels are acceptable or require mitigation, enabling closed-loop optimization of communication robustness versus stability trade-offs.
Data Source
AI summary
The present disclosure provides a stability criterion for time-delay of cyber-physical power systems under distributed control, which relates to a field of cyber-physical power systems technologies. The method first establishes an cyber side model of the cyber-physical power systems under distributed control and a physical power grid model of the cyber-physical power systems under distributed control respectively; then establishes simultaneous equations of the cyber side model and the physical power grid model to establish an unified differential algebraic equation model of the cyber-physical power systems under distributed control, so as to obtain a time-delay characteristic equation expression of the cyber-physical power systems under distributed control; determines a time-delay of each node, and solving the time-delay characteristic equation expression to obtain a maximum characteristic root, and performing the stability criterion for the time-delay of the cyber-physical power systems under distributed control according to a real part of the maximum characteristic root.