**Course introduction and syllabus.**[PDF]**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.
**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.
**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.
**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.
**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.
**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 ν
^{2}(*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.
**Thermal Modeling.**[PDF]