Paroto Model Gallery#

This gallery contains minimal, standalone examples demonstrating individual models from the paroto library. Each example is self-contained (20-30 lines) and can be run independently.

Quick Start#

Each example can be run directly:

python plot_initial_temperature_model_example.py
python plot_coverage_model_example.py
python plot_arc_density_model_example.py
python plot_pulsed_breakdown_example.py
python plot_mobility_model_example.py
python plot_generator_system_example.py
python plot_torch_flow_system_example.py

Gallery Index#

1. Initial Temperature Model#

File: plot_initial_temperature_model_example.py

Demonstrates the PulseInitialTemperatureModel which computes initial gas temperature accounting for:

Energy-to-temperature conversion (via sub-model)
Cylindrical thermal diffusion
Relaxation between pulses

Output: Temperature evolution plot showing instantaneous jump and exponential decay.

1b. Energy to Temperature Conversion#

File: plot_energy_to_temperature_example.py

Demonstrates both energy conversion models:

ConstantCpEnergyModel - Simple, constant specific heat (low fidelity)
CanteraEnergyModel - Temperature-dependent properties (high fidelity)

Output: Comparison of both models showing temperature rise differences.

2. Coverage Model#

File: plot_coverage_model_example.py

Demonstrates the ArcCoverageModel which ensures complete gas treatment by the arc:

Coverage fraction calculation
Constraint satisfaction check
Recommendations for incomplete coverage

Output: Text summary of coverage analysis.

3. Arc Density Constraint Model#

File: plot_arc_density_model_example.py

Demonstrates the ArcDensityConstraintModel which limits energy density in the arc:

Energy density calculation
Constraint margin
Safety assessment

Output: Text summary of energy density check.

4. Pulsed Breakdown Model#

File: plot_pulsed_breakdown_example.py

Demonstrates the RepetitivePulseBreakdownModel showing memory effects:

Breakdown voltage for 1, 10, 100 pulses
Transition from single-pulse to DC breakdown
Memory effect from repetitive pulsing

Output: Text summary showing voltage reduction with pulse number.

5. Arc Mobility Model#

File: plot_mobility_model_example.py

Demonstrates the BrownianArcMobilityModel for arc displacement:

RMS displacement calculation
Mobility factor
Thermal load spreading

Output: Text summary of arc movement characteristics.

6. High Voltage Generator System#

File: plot_generator_system_example.py

Demonstrates the HighVoltageGeneratorSystem for operating window constraints:

Operating window power calculation
Constraint satisfaction check
Generator capability assessment

Output: Text summary of generator operating point.

7. Torch Flow System#

File: plot_torch_flow_system_example.py

Demonstrates the TorchFlowSystem for flow calculations:

Flow velocity computation
Residence time calculation
Pressure drop estimation

Output: Text summary of flow characteristics.

Model Documentation#

Each model class includes comprehensive docstrings with:

Physics equations in LaTeX format
Input/output descriptions
Usage examples
References to gallery and validation scripts

Requirements#

Python 3.11+
OpenMDAO >= 3.27
NumPy
Matplotlib (for examples with plots)
paroto library installed (pip install -e . from repo root)

Notes#

⚠️ AI-Generated Equations Warning: The physics equations in these models are AI-generated and not yet validated for production use. They serve as demonstrations of the model framework and should be validated against experimental data before use in real applications.