Pre-step Co-simulation Using Error Differential Equations
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Solution Overview
Problem
Current co-simulation methods for real physical models introduce significant coupling errors due to limited interfacing and capabilities, leading to stability issues and decreased accuracy, as they primarily correct discretization errors post-step, impacting overall system simulation in a delayed manner.
Innovation Solution
A pre-step co-simulation method utilizing partial derivatives to define local replacement models, which are used to estimate input values through an Error Differential Equation, optimizing input values before the co-simulation time increment, thereby reducing coupling errors and improving accuracy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If non-iterative co-simulation is used, then co-simulation performance is improved, but coupling error increases significantly
Solution Approach 1:
The patent applies preliminary action by performing error compensation before the co-simulation time increment (pre-step) rather than after (post-step). The method calculates compensation values based on current system state and applies them to adjust input signals for the next simulation step, proactively preventing coupling errors from accumulating while maintaining high simulation performance.
2Manufacturing precision
If post-step error correction is applied, then coupling error is mitigated, but simulation accuracy decreases due to delayed impact
Solution Approach 1:
The patent shifts the error correction timing from post-step to pre-step, calculating and applying compensation values before the simulation increment occurs. This preliminary correction ensures that the compensated values are used throughout the entire time increment, improving simulation accuracy while maintaining coupling error mitigation.
3Manufacturing precision
If centralized schemes are used for error correction, then coupling error is reduced, but co-simulation performance is limited
Solution Approach 1:
The patent segments the centralized error correction process into distributed calculations at each simulation node. Each subsystem independently calculates its own compensation values based on local error estimates, eliminating the performance bottleneck of centralized coordination while maintaining effective coupling error reduction through the pre-step compensation mechanism.
Data Source
AI summary
A pre-step co-simulation method and device for co-simulation of several subsystems is disclosed, utilizing partial derivatives of replacement subsystems. On this basis, the exact solutions of output variables of the individual subsystems are approximated by evaluation of an Error Differential Equation in order to estimate the future progress of the approximated exact output variables; corresponding input variables are determined by optimization prior to the current co-simulation time increment. The pre-step co-simulation method is realized within a computer-executable program and implemented in a network of computing nodes.