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Differentiable Perfect Stirred Reactor Simulation using Arrhenius.jl

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NN-PSR

Differentiable Perfect Stirred Reactor Simulation using Arrhenius.jl.

Governing Equations for the Model Combustor

$$ \begin{align*} \frac{dY}{dt} &= \frac{\pmb Y_{in}-\pmb Y}{\tau_{res}} + \pmb S(\pmb Y) \\ \frac{dT}{dt} &= \frac{\sum_i q_i R_i}{\rho C_p} - \frac{T-T_{in}}{\tau_{res}} - \frac{Q_{loss}(T-T_a)}{\rho C_p} \\ \tau_{res} &= \frac{\rho V}{m_a} \end{align*} $$

Inverse Modeling for Fuel Switching

Fuel switching from COG1 to COG2, trained with 100 data points

  • Initial state

  • Trained state

Inverse Modeling for Inflow Fluctuations

Inflow fluctuations of BFG fuel, with 3% calorific fluctuation and 10% flow rate fluctuation.

  • Initial state

  • Trained state

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Differentiable Perfect Stirred Reactor Simulation using Arrhenius.jl

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