Lecture notes and recordings for ECE4710/5710: Modeling, Simulation, and Identification of Battery Dynamics

To play any of the lecture recording files (below), QuickTime is required. This software may be downloaded (free) from http://www.apple.com/quicktime/download/. Each of the recordings is on the order of 20 to 30 minutes long, and between about 40 and 50 Mb in size.

If you are not registered at UCCS to take this course for credit, and if you wish to do so, please contact Dr. Gregory Plett using the information provided in the Section 0 notes.

This course can be taken at the graduate level as part of the Masters of Science in Electrical Engineering option in Battery Controls. See the IDEATE web site for more details.

For textbook information, please see the Modeling, Simulation and Identification of Battery Dynamics textbook web site.

0. Course introduction and syllabus. [PDF]
• 0: Course introduction and syllabus.
1. Battery Boot Camp. [PDF]
• 1.1: Introduction to the course.
• 1.2: How electrochemical cells work.
• 1.3: Choice of active chemicals.
• 1.4: Lithium-ion preview.
• 1.5: Lithium-ion cell makeup.
• 1.6: Availability of lithium.
• 1.7: Manufacturing (1): Making the electrodes.
• 1.8: Manufacturing (2): Assembling the cell.
• 1.9: Failure modes.
2. Equivalent-Circuit Cell Models. [PDF]
• 2.1: Open-circuit voltage and state of charge.
• 2.2: Linear polarization.
• 2.3: Converting to discrete time.
• 2.4: Hysteresis voltages.
• 2.5: The ESC cell model; OCV testing.
• 2.6: Determining coulombic efficiency.
• 2.7: Determining temperature-dependent OCV.
• 2.8: Cell testing to determine the dynamic relationship.
• 2.9: MATLAB code to create and simulate models.
• 2.10: Example results.
3. Microscale Cell Models. [PDF]
• 3.1: Chapter goals.
• 3.2: Charge conservation in solid.
• 3.3: Mass conservation in solid.
• 3.4: Energy and thermodynamic potentials.
• 3.5: Two laws of thermodynamics; direction of reaction.
• 3.6: Electrochemical potential; Gibbs-Duhem equation.
• 3.7: Relative and absolute activity.
• 3.8: Basic characteristics of binary electrolytes.
• 3.9: Electrolyte mass balance equation (step 1a).
• 3.10: Electrolyte mass balance equation (steps 1b-2).
• 3.11: Electrolyte mass balance equation (step 3).
• 3.12: Electrolyte mass balance equation (step 4).
• 3.13: Electrolyte charge balance equation: Electrolyte current.
• 3.14: Electrolyte charge balance equation final form.
• 3.15: Butler-Volmer equation: preliminaries.
• 3.16: Butler-Volmer equation: derivation.
• 3.17: Butler-Volmer equation: exchange-current density.
• 3.18: Boundary conditions.
• 3.19: Cell-level quantities.
• 3.20: Single-particle model.
4. Continuum (Porous-Electrode) Cell Models. [PDF]
• 4.1: Chapter goals.
• 4.2: Indicator and Dirac delta functions.
• 4.3: Gradient of an indicator function.
• 4.4: Phase and intrinsic averages.
• 4.5: Volume-averaging theorems 1 and 2.
• 4.6: Volume-averaging theorem 3.
• 4.7: Continuum models: Charge conservation in the solid.
• 4.8: Mass conservation in the solid and electrolyte.
• 4.9: Charge conservation in electrolyte.
• 4.10: Cell-level quantities; PDE simulation methods.
• 4.11: Implementation in COMSOL.
• 4.12: COMSOL demonstration.
5. State-Space Models and the Discrete-Time Realization Algorithm. [PDF]
• 5.1: Introduction to state-space models.
• 5.2: Working with state-space systems.
• 5.3: Discrete-time Markov parameters.
• 5.4: Equations describing solid dynamics.
• 5.5: Removing the integrator pole.
• 5.6: State-space realization problem: Ho-Kalman method.
• 5.7: Singular-value decomposition.
• 5.8: Back to Ho-Kalman.
• 5.9: Ho-Kalman summary and example.
• 5.10: Discrete-time realization algorithm (DRA).
• 5.11: Example 1: Rational-polynomial transfer function.
• 5.12: Example 2: Dealing with a pole in H(s) at the origin.
• 5.13: Example 3: Transcendental transfer function.
6. Reduced-Order Models of Cell Dynamics. [PDF]
• 6.1: Approach and first steps; R_ct and R_s,e.
• 6.2: Next steps, leading to impedance ratio ν²(s).
• 6.3: Negative-electrode transfer functions.
• 6.4: Positive-electrode transfer functions.
• 6.5: A one-dimensional model of c_e(x,t): first steps.
• 6.6: Solution to the homogeneous PDE.
• 6.7: Solution to the forced PDE.
• 6.8: A one-dimensional model of φ_e(x,t).
• 6.9: Summary of transfer functions.
• 6.10: Cell voltage.
• 6.11: Full cell model.
• 6.12: Model blending.
7. Thermal Modeling. [PDF]
• 7.1: Introduction and preliminary definitions.
• 7.2: Microscale thermal model.
• 7.3: Continuum thermal model.
• 7.4: Reduced-order model: transfer functions.
• 7.5: ROM heat-generation terms q_r and q_i.
• 7.6: ROM heat-generation terms q_s and q_e.
• 7.7: Heat-flux terms.