Algebraic GPF Oxidation Model for Real-Time Control
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current particulate filter modeling techniques are inefficient and complex, making it difficult to implement real-time control systems for gasoline particulate filters (GPFs) in vehicles, which hinders the reduction of particulate matter emissions and affects fuel economy.
Innovation Solution
The use of algebraic methods, specifically the Euler Implicit differential methodology, to eliminate the need for Ordinary Differential Equation (ODE) solvers, resulting in a faster and more compact modeling program that can be integrated into a vehicle's Engine Management System (EMS) for optimized oxidation events and regeneration of GPFs.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional differential equation-based modeling methods are used for GPF, then model accuracy is maintained, but computational speed and real-time control capability deteriorate
Solution Approach 1:
The patent replaces the traditional ODE solver-based mechanical computational system with an algebraic equation system that can be solved directly without iterative numerical methods. This substitution of computational mechanics enables real-time control while preserving model accuracy by eliminating the computational bottleneck of traditional differential equation solving.
Solution Approach 2:
The patent transforms the mathematical parameters and equations from differential form to algebraic form, changing the computational nature of the model. By converting time-derivative parameters into algebraic relationships, the model achieves faster computation speed while maintaining the same predictive accuracy for GPF oxidation events.
2Measurement precision
If complex ODE solver-based models are implemented, then modeling precision is maintained, but device complexity and integration difficulty increase
Solution Approach 1:
The patent replaces complex ODE solver infrastructure with straightforward algebraic calculations, significantly reducing device complexity. The new approach eliminates the need for sophisticated numerical solvers, iterative convergence algorithms, and associated computational overhead, making the system easier to implement and integrate into vehicle control units.
Solution Approach 2:
The patent extracts and removes the complex ODE solver component from the modeling system, retaining only the essential algebraic relationships needed for accurate GPF prediction. This extraction simplifies the overall system architecture while preserving the core modeling precision through direct algebraic solutions.
3Speed
If simplified models are used to increase computational speed, then real-time control becomes feasible, but model accuracy deteriorates
Solution Approach 1:
The patent applies partial simplification by using algebraic equations for the core computational tasks while maintaining detailed chemical and physical relationships where necessary. This selective approach achieves sufficient computational speed for real-time control without excessively simplifying the underlying GPF oxidation chemistry, thus preserving adequate prediction accuracy.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enables faster and more accurate modeling of GPFs, reducing emissions, improving fuel economy, and extending the lifespan of the filter by allowing for optimized timing of oxidation events.
Implementation Method 1
improved techniques for modelling and controlling oxidation events of particular filters
Data Source
AI summary
Systems, methods, and computer readable storage media for controlling oxidation of a particulate filter (PF) are closed. The oxidation of the PF may be controlled using a PF model. The PF model may be utilized to simulate operations of the PF based on various input data and/or derived data to determine an optimum time for initiating an oxidation event at the PF, and an oxidation event may be initiated at the PF based on the simulating.