This is a base model for simple expansion valves that are used, for example, in close-loop systems like heat pumps or chillers.
Three equations need to be added by an extending class using this component:
port_b.h_outflow for flow in design
direction.port_a.h_outflow for flow in reverse
direction.Moreover, appropriate values shall be assigned to the following parameters:
dp_start for a guess of the pressure dropm_flow_small for regularization of zero flow.dp_nominal for nominal pressure drop.m_flow_nominal for nominal mass flow rate.Actually, three different modelling approaches are suggested and
saved as enumeration in
AixLib.Fluid.Actuators.Valves.ExpansionValves.Utilities.Choices.CalcProc.
In the following, these modeling approaches are characterised
shortly:
| Approach | Formula | Comment |
|---|---|---|
| Linear | ṁ = C Avalve dp |
Used for testing or initialisation |
| Nominal | ṁ = ṁnominal / dpnominal
Avalve dp |
Used mainly for initialisation |
| Flow coefficient | ṁ = C Avalve sqrt(2 ρinlet
dp) |
Chosen by default and follows from Bernoulli's law |
For the third approach (i.e. flow coefficient), different calculation models are stored in AixLib.Fluid.Actuators.Valves.ExpansionValves.Utilities.Choices.FlowCoefficient. Therefore, the calculation procedure of the flow coefficient C is introduced as replaceable model and must by defined by the User.
The base model has a parameter useInpFil that is
used to model the valve's transient behaviour while opening or
closing. Generally, this approach uses the same modeling attempt as
the stat-up and shut-down transients introtuced for flow machines
(see AixLib.Fluid.Movers.UsersGuide).
Therefore, just the parameter's affections are presented here:
useInpFil=false, then the input signal
opeSet.y is equal to the valve's opening degree. Thus,
a step change in the input signal causes a step change in the
opening degree.useInpFil=true, which is the default, then the
opening degree is equal to the output of a filter. This filter is
implemented as a 2nd order differential equation. Thus, a step
change in the fan input signal will cause a gradual change in the
opening degree. The filter has a parameter risTim,
which by default is set to 1 second. The rise time is the
time required to reach 99.6% of the full opening degree,
or,if the ventil is closed, to reach a opening degree of
0.4%.In the following, some general references are given for information about modelling expansion valves. The modelling approach presented here is alligned to the modelling approaches presented in the literature:
Li, W. (2013): Simplified modeling analysis ofmass flow characteristics in electronic expansion valve. In: Applied Thermal Engineering 53(1), S. 8–12
X. Cao, Z.-Y. Li, L.-L. Shao and C.-L. Zhang (2016): Refrigerant flow through electronic expansion valve: Experiment and neural network modeling. In: Applied Thermal Engineering 92, S. 210–218
| Name | Description |
|---|---|
|
|
Model that describes the calculation of the flow coefficient |