Battery Overpotential Modeling for Real-Time State Estimation

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Solution Overview

Problem

Existing lithium-ion battery management systems face challenges in accurately modeling and monitoring electrochemical overpotentials in real-time, particularly due to difficulties in obtaining frequency-domain data, which hinders effective state estimation and degradation analysis.

Innovation Solution

A proposed battery performance management framework using a discrete-time state-space approximation of the convolution-defined diffusion (CDD) model, specifically the receding-horizon diffusion (RHD) model, which characterizes ohmic, charge transfer, and diffusion overpotentials, allowing for real-time tracking of battery voltage and internal parameter monitoring, and determination of maximum power output capabilities.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If physics-based models (PBM) are used for battery modeling, then measurement precision and insight into internal cell processes are improved, but device complexity and computational burden increase making real-time use difficult

Engineering Contradiction:
Improvebattery state estimation accuracyVSAvoidmodel computational complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the complex physics-based model into a modular equivalent circuit model with distinct components: ohmic resistance, charge transfer RC pairs, and diffusion Warburg impedance. This segmentation allows the model to capture essential electrochemical processes while reducing computational complexity for real-time implementation.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent introduces an intermediary equivalent circuit model that bridges the gap between simple ECMs and complex PBMs. This intermediate model incorporates electrochemical elements (RC pairs representing charge transfer and Warburg elements for diffusion) to provide physics-based accuracy without the full computational burden of detailed PBMs.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Measurement precision

If fractional-order models (FOM) are used to quantify electrochemical overpotentials, then measurement precision for degradation analysis is improved, but difficulty of detecting and measuring frequency-domain data in real-time increases

Engineering Contradiction:
Improveelectrochemical overpotential quantificationVSAvoidfrequency-domain data acquisition
Core Design Contradiction:
Measurement precisionVSDifficulty of detecting and measuring

Solution Approach 1:

The patent transitions from static frequency-domain FOM representations to a dynamic time-domain equivalent circuit model. The dynamic ECM with voltage-dependent RC time constants and Warburg impedance can adapt to changing battery conditions without requiring frequency-domain measurements, enabling real-time overpotential quantification.

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent replaces the frequency-domain measurement approach (electrochemical impedance spectroscopy) with a time-domain equivalent circuit model that uses standard voltage and current measurements. This substitution eliminates the need for complex frequency-domain data acquisition while maintaining the ability to quantify electrochemical processes.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

3Productivity

If equivalent circuit models (ECM) are used for battery management, then ease of operation and computational speed are improved, but measurement precision for internal cell process monitoring deteriorates

Engineering Contradiction:
Improvecomputational speedVSAvoidinternal cell process insight
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent creates a composite equivalent circuit model that combines simple ECM elements (resistors, capacitors) with electrochemical elements (RC pairs for charge transfer, Warburg elements for diffusion). This composite structure maintains the computational efficiency of ECMs while incorporating the physics-based precision needed for internal cell process monitoring.

Inventive Principle:
Principle #40Composite materials

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

The RHD model achieves 99% accuracy in tracking battery voltage and provides insights into battery degradation, enabling effective monitoring and management of lithium-ion batteries, suitable for integration into electric vehicles and electrical grids, with potential for broader applications.

Implementation Method 1

Diffusion dynamics are derived from the convolution-defined diffusion (CDD) model

Methodology Applied
Scientific EffectDiffusion: Diffusion

Implementation Method 2

The CDD model representing the diffusion overpotential behavior of the lithium-ion battery as the product of a diffusion related constant AD, and a convolution of a unit impulse response, gz(t), with a time-dependent diffusion state amplitude, ξ, for the lithium-ion battery

Methodology Applied
Scientific EffectConvolution:

Implementation Method 3

The CPE is defined by a fractional-order transfer function, which is shown to accurately capture the charge transfer and diffusion overpotentials

Methodology Applied
Scientific EffectCharge transfer:

Data Source

PatentUS20240125862A1Systems and Methods for Battery Performance Monitoring and Management Using Discrete-Time State-Space Overpotential Battery Models
Publication Date: 2024.04.18 THE TRUSTEES OF COLUMBIA UNIV IN THE CITY OF NEW YORK
  • US20240125862A1 patent drawing
  • US20240125862A1 patent drawing
  • US20240125862A1 patent drawing

AI summary

Disclosed are systems, methods, and other implementations, including a method for monitoring and managing battery performance that includes deriving a representation of diffusion overpotential behavior for a lithium-ion battery according to a discrete-time state-space approximation of a convolution-defined diffusion (CDD) model for the lithium-ion battery, and determining behavior of the lithium-ion battery according to the discrete-time state-space approximation of the convolution-defined diffusion (CDD) model for the lithium-ion battery.