# Lithium Pack Short Circuit

This example shows how to model a short-circuit in a lithium-ion battery module. The battery module consists of 30 cells with a string of three parallel cells connected in a series of ten strings. Each battery cell is modeled using the **Battery (Table-Based)** Simscape Electrical block. In this example, the initial temperature and the state of charge are the same for all cells. There is no coolant flow modeled in this example. The battery module is shorted with a 0.1mOhm resistor. There is an inrush current followed by cell quick discharge and heating up. Once the cell reaches the trigger temperature for thermal runaway and cell venting, the electrical circuit is disconnected to stop the electrical simulation.

### Model

### Define Parameters and Inputs

To use this module to create a unique battery module, first specify the number of series and parallel-connected cells. Then specify the cell type for all individual cells by choosing one of these options for **Choose cell type** parameter of the **Battery Module** block:

`Pouch`

`Can`

`Compact cylindrical`

`Regular cylindrical`

This example uses pouch-type cells. Module A,B and C consist of 8 series- connected and two parallel-connected cells. Module D consists of 12 series-connected and two parallel-connected cells.

The two output ports, **SOC** and **Temp**, provide information regarding the state of charge and the temperature of each cell in the module. The thermal port, **Amb** is used to define the ambient temperature in the simulation. The electrical ports, **pos** and **neg**, define the electrical positive and negative terminals, respectively. The two input ports, **FlwR** and **FlwT**, define the battery coolant flow rate control and inlet temperature into the module.

The figure below shows examples of battery cells in `Pouch`

and `Can`

configurations.

The figure below shows examples of battery cells in `Compact cylindrical`

and `Regular cylindrical`

configurations.

These are the parameters in the battery module:

**Vector of temperatures, T**— Temperatures at which the cell or module data for temperature-varying properties are tabulated, specified as a vector.**Single cell Ahr rating, baseline**— Cell capacity at the temperatures defined in the**Vector of temperatures, T**parameter, specified as a vector.**Vector of state of charge values, SOC**— Range of values between 0 and 1 at which the cell electrical parameters are defined, specified as a vector.**Vector of coolant flowrates, L**— Coolant mass flow rate values at which a lookup table for cell cooling is defined. This parameter needs to cover multiple points in the flow range of interest. This parameter defines the size of the**Effective rate of coolant heat transfer**parameter and is specified as a vector.

**No load voltage, V0**— Cell open-circuit potential values at different**Vector of state of charge values, SOC**and**Vector of temperatures, T**points, specified as a matrix.**Terminal resistance, R0**— Cell ohmic resistance values at different**Vector of state of charge values, SOC**and**Vector of temperatures, T**points, specified as a matrix.**Polarization resistance**— Polarization resistance values at different**Vector of state of charge values, SOC**and**Vector of temperatures, T**points, specified as a matrix.**Time constant**— Time constant at different**Vector of state of charge values, SOC**and**Vector of temperatures, T**points, specified as a matrix.

**Cell thermal mass**— Thermal mass of a single cell, specified as a scalar.**Cell thermal conductivity**— Cell through-plane conductivity for pouch and can cells, or the radial conductivity for cylindrical cells, specified as a scalar.**Heat transfer coefficient to ambient**— Heat transfer coefficient value, specified as a scalar.

**Number of series connected cells Ns**— Number of strings in series, specified as an integer.**Number of parallel connected cells Np**— Number of parallel-cells in a string, specified as an integer.**Choose cell type**— Type of cell, specified as either`Pouch`

,`Can`

,`Compact cylindrical`

, or`Regular cylindrical`

.**Cell height**— Cell height, specified as a scalar.**Cell width**— Cell width for`Pouch`

and`Can`

cells, specified as a scalar.**Cell thickness**— Cell thickness for`Pouch`

or`Can`

cells, specified as a scalar.**Cell diameter**— Cell diameter for`Compact cylindrical`

or`Regular cylindrical`

, specified as a scalar.**Number of cylindrical cells in a straight line**— Number of cylindrical cells arranged in a straight line for packaging, specified as an integer.**Accessory total resistance**— Resistance that combines all inline resistance in a module, specified as a scalar. This resistance is the sum of cell tab, busbar, cable and/or weld resistances, specified as a scalar.**Cell balancing**— Cell balancing method, specified as either`none`

or`passive`

. In this example, this parameter is set to`none`

.

**Effective rate of coolant heat transfer from each cell**— Estimate of the thermal resistance (W/K) of heat transfer from battery cells to coolant, specified as a 3-D matrix of scalar values. The 3-D matrix size depends on the**Vector of temperatures, T**,**Vector of coolant flowrates, L**and**NsxNp**parameters. The**NsxNp**parameter is the total number of cells in the module. The battery cooling is represented as a lookup table or 3-D matrix of size [T,L,Ns*Np] and the values are calculated using detailed 3-D methods such as computational fluid dynamics. The values of the matrix depend on the actual hardware design of the cooling system or cold plates in the module. The performance of the cold plate is controlled using input values**FlwR**and**FlwT**.**External heat**— External heat input to each cell in a module due to a hot component placed near the module, specified as a vector.

**Vector of initial cell temperature**— Cell initial temperature, specified as a vector.**Vector of initial cell state of charge**— Cell initial state of charge, specified as a vector.**Cell Ahr rating variation**— Cell-to-cell variations in cell capacity at all**Vector of temperatures, T**points for each cell, specified as a vector of scalar values. If you set this array to 1, all cell capacity is the same. The array values for a cell are multiplied with the value specified in the**Single cell Ahr rating, baseline**parameter to calculate the actual capacity or the Ahr rating of the cell.

To define the battery coolant flow rate and temperature, specify these inputs:

**FlwR**— Value between 0 and 1, specified as a scalar. The**FlwR**input value is used to dynamically choose the right value of the flow rate during the simulations. The value of the**FlwR**input defines the actual flow rate in the module. In the**Vector of coolant flowrates L**parameter,**FlwR**equal to 0 means no flow, while**FlwR**equal to 1 means highest flow rate value. In the current example,**FlwR**is set to a low value of 1e-3.**FlwT**— Positive or negative value that, when summed to the ambient temperature, equals the coolant inlet temperature. A value of +15 for the**FlwT**input and 273.15 K at the**Amb**port makes the coolant inlet temperature equal to 273.15 + 15 = 288.15K. A value of -15 for the**FlwT**input and 273.15 K at the**Amb**makes the coolant inlet temperature equal to 273.15 - 15 = 258.15 K. In this example,**FlwT**is set to 0.

### Simulation Results from Simscape Logging

The switch in the circuit is closed at 30s time in the Switch operation logic subsystem. The circuit is completed and short circuits the system through a resistance of 0.1m-Ohm. As a high current passes through all the cells in the module, the cell temperature rises and quickly attains the trigger temperature for thermal runaway and gas venting. The switch is opened to disconnect the electrical circuit as the cell is now dead.