DOE Patents title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Battery models, systems, and methods using robust fail-safe iteration free approach for solving differential algebraic equations

Abstract

Battery models using robust fail-safe iteration free approach for solving Differential Algebraic Equations, and associated systems and methods are disclosed. In one embodiment, a method includes generating a model of the rechargeable battery; determining one or more initial conditions for one or more algebraic variables of the model using a solver; holding differential variables of the model static by a switch function while determining the one or more initial conditions; applying the initial conditions to the model by the switch function; and determining one or more parameters for the rechargeable battery by solving the algebraic and differential equations.

Inventors:
; ; ;
Issue Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States); Washington Univ., St. Louis, MO (United States)
Sponsoring Org.:
USDOE Advanced Research Projects Agency - Energy (ARPA-E)
OSTI Identifier:
1735240
Patent Number(s):
10769236
Application Number:
15/745,984
Assignee:
University of Washington (Seattle, WA); Washington University (St. Louis, MO)
Patent Classifications (CPCs):
G - PHYSICS G06 - COMPUTING G06F - ELECTRIC DIGITAL DATA PROCESSING
H - ELECTRICITY H01 - BASIC ELECTRIC ELEMENTS H01M - PROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY
DOE Contract Number:  
AR0000275
Resource Type:
Patent
Resource Relation:
Patent File Date: 07/20/2016
Country of Publication:
United States
Language:
English
Subject:
25 ENERGY STORAGE

Citation Formats

Sonawane, Dayaram, Pathak, Manan, Subramanian, Venkat, and Lawder, Matthew. Battery models, systems, and methods using robust fail-safe iteration free approach for solving differential algebraic equations. United States: N. p., 2020. Web.
Sonawane, Dayaram, Pathak, Manan, Subramanian, Venkat, & Lawder, Matthew. Battery models, systems, and methods using robust fail-safe iteration free approach for solving differential algebraic equations. United States.
Sonawane, Dayaram, Pathak, Manan, Subramanian, Venkat, and Lawder, Matthew. Tue . "Battery models, systems, and methods using robust fail-safe iteration free approach for solving differential algebraic equations". United States. https://www.osti.gov/servlets/purl/1735240.
@article{osti_1735240,
title = {Battery models, systems, and methods using robust fail-safe iteration free approach for solving differential algebraic equations},
author = {Sonawane, Dayaram and Pathak, Manan and Subramanian, Venkat and Lawder, Matthew},
abstractNote = {Battery models using robust fail-safe iteration free approach for solving Differential Algebraic Equations, and associated systems and methods are disclosed. In one embodiment, a method includes generating a model of the rechargeable battery; determining one or more initial conditions for one or more algebraic variables of the model using a solver; holding differential variables of the model static by a switch function while determining the one or more initial conditions; applying the initial conditions to the model by the switch function; and determining one or more parameters for the rechargeable battery by solving the algebraic and differential equations.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Sep 08 00:00:00 EDT 2020},
month = {Tue Sep 08 00:00:00 EDT 2020}
}

Works referenced in this record:

A Set of Library Routines for Solving Parabolic Equations in One Space Variable
journal, September 1981


LSODE and LSODI, two new initial value ordinary differnetial equation solvers
journal, December 1980


Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations
journal, February 1991


DASPK: A new high order and adaptive time-integration technique with applications to mantle convection with strongly temperature-and pressure-dependent rheology
journal, September 1995


Solving Index-1 DAEs in MATLAB and Simulink
journal, January 1999


Battery Energy Storage System (BESS) and Battery Management System (BMS) for Grid-Scale Applications
journal, June 2014


On inconsistent initial conditions for linear time-invariant differential-algebraic equations
journal, November 2002


Simulation of constrained systems
patent, March 2011


Systems and methods for improving battery performance
patent-application, May 2014


Continuum Representation for Simulating Discrete Events of Battery Operation
journal, January 2010

  • Boovaragavan, Vijayasekaran; Ramadesigan, Venkatasailanathan; Panchagnula, Mahesh V.
  • Journal of The Electrochemical Society, Vol. 157, Issue 1
  • https://doi.org/10.1149/1.3258044

Stiff differential equations solved by Radau methods
journal, November 1999


Method of estimating the non-measurable characteristics of an electrochemical system
patent-application, March 2011


Battery Charger Circuit And Control Schemes
patent-application, November 2011


Software and algorithms for sensitivity analysis of large-scale differential algebraic systems
journal, December 2000


System for smart management of an electrochemical battery
patent-application, March 2011


A perturbation approach for consistent initialization of index-1 explicit differential–algebraic equations arising from battery model simulations
journal, November 2011


Review Paper: Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations
journal, April 2003


Battery State Estimation Apparatus and Method
patent-application, April 2018


Method for determining a state of a rechargeable battery device in real time
patent-application, April 2012


Differential/Algebraic Equations are not ODE’ s
journal, September 1982


Method and system for simplifying models
patent-application, July 2012


Theory of SEI Formation in Rechargeable Batteries: Capacity Fade, Accelerated Aging and Lifetime Prediction
journal, December 2012


Solving Ordinary Differential Equations II
book, September 1996


Computation of consistent initial values for properly stated index 3 DAEs
journal, February 2009


Model Predictive Control and Optimization for Battery Charging and Discharging
patent-application, November 2016


System and Method for Posteriori Adaptation of a State of Charge Model in a Battery
patent-application, January 2014


Staircase charging
patent-application, November 2017


Coordinate Transformation, Orthogonal Collocation, Model Reformulation and Simulation of Electrochemical-Thermal Behavior of Lithium-Ion Battery Stacks
journal, January 2011


Rapid battery charging method and system
patent-application, May 2013


A stability theory for constrained dynamic systems with applications to electric power systems
journal, January 1996


Golf Navigation Appliance
patent-application, September 2001


Power supply and battery charger
patent, May 1995


The mathematical modelling of transient systems using differential-algebraic equations
journal, May 1988


Method and system for simplifying models
patent, July 2013


Modeling and Simulation of Lithium-Ion Batteries from a Systems Engineering Perspective
journal, January 2012


Device and method for estimating battery state
patent-application, December 2017


Consistent initialization and perturbation analysis for abstract differential-algebraic equations
journal, April 2007


Solving stiff ordinary differential equations and partial differential equations using analog computing based on cellular neural networks
conference, July 2009


Secondary battery management
patent-application, August 2017


Parameter estimation device for battery
patent-application, November 2017


Secondary battery management system
patent-application, August 2017


Exact Parameter Space Reduction for Numerically Integrating Parameterized Differential Equations
patent-application, May 2012


Model-Based SEI Layer Growth and Capacity Fade Analysis for EV and PHEV Batteries and Drive Cycles
journal, January 2014


Robot, Device and a Method for Central Pattern Generator (CPG) Based Control of a Movement of the Robot
patent-application, January 2014


Efficient Simulation and Reformulation of Lithium-Ion Battery Models for Enabling Electric Transportation
journal, January 2014


Review of models for predicting the cycling performance of lithium ion batteries
journal, June 2006


Developing software for time-dependent problems using the method of lines and differential-algebraic integrators
journal, September 1989


An initialization subroutine for DAEs solvers: DAEIS
journal, March 2001