Creating a dynamic model of a system involves multiple steps.
- Identify objective for simulation
- what do we want to accomplish
- define which inputs should be related to which outputs
- Draw a schematic diagram, labeling process variables
- label relevant process variables
- List all assumptions
- used also to simplify model
- Determine spatial dependence
- Yes: Partial Differential Equation (PDE)
- No: Ordinary Differential Equation (ODE)
- Write dynamic balances for conserved quantities
- energy
- mass
- momentum (Impuls)
- electric charge
- species (chemistry)
- Add other relations
- geometry
- thermodynamics
- reactions
- …
- Degrees of freedom: number of equations = number of unknown variables?
- Classify inputs as
- Fixed constants
- Disturbances (cannot be controlled, might or might not be measurable)
- Manipulated variables (manually or by solver/controller)
- Classify predicted variables (e.g. outputs)
- States
- Controlled variables (set point, optimization objective)
- Simplify balance equations based on assumptions
- Simulate steady state conditions (if possible)
- Simulate the output with an input step: dynamic response