modelHeater_T

Heater with prescribed outlet temperature

Extends from BuildingSystems.Fluid.HeatExchangers.BaseClasses.PartialPrescribedOutlet (Ideal heater, cooler, humidifier or dehumidifier with prescribed outlet conditions).

Information

Model for an ideal heater that controls its outlet temperature to a prescribed outlet temperature.

This model forces the outlet temperature at port_b to be no lower than the temperature of the input signal TSet, subject to optional limits on the capacity. By default, the model has unlimited heating capacity.

The output signal Q_flow is the heat added to the medium if the mass flow rate is from port_a to port_b. If the flow is reversed, then Q_flow=0.

The outlet conditions at port_a are not affected by this model, other than for a possible pressure difference due to flow friction.

If the parameter energyDynamics is different from Modelica.Fluid.Types.Dynamics.SteadyState, the component models the dynamic response using a first order differential equation. The time constant of the component is equal to the parameter tau. This time constant is adjusted based on the mass flow rate using

τeff = τ |ṁ| ⁄ ṁnom

where τeff is the effective time constant for the given mass flow rate and τ is the time constant at the nominal mass flow rate nom. This type of dynamics is equal to the dynamics that a completely mixed control volume would have.

Optionally, this model can have a flow resistance. Set dp_nominal = 0 to disable the flow friction calculation.

For a similar model that is a sensible cooling device, use BuildingSystems.Fluid.HeatExchangers.SensibleCooler_T. For a model that uses a control signal u ∈ [0, 1] and multiplies this with the nominal heating or cooling power, use BuildingSystems.Fluid.HeatExchangers.HeaterCooler_u

Limitations

If the flow is from port_b to port_a, then the enthalpy of the medium is not affected by this model.

Validation

The model has been validated against the analytical solution in the examples BuildingSystems.Fluid.HeatExchangers.Validation.PrescribedOutlet and BuildingSystems.Fluid.HeatExchangers.Validation.PrescribedOutlet_dynamic.

Parameters

TypeNameDefaultDescription
BooleanhomotopyInitialization (from PartialPrescribedOutlet)true= true, use homotopy method
Modelica.Units.SI.HeatFlowRateQMax_flowModelica.Constants.infMaximum heat flow rate for heating (positive)
Assumptions
BooleanallowFlowReversal (from PartialTwoPort)true= false to simplify equations, assuming, but not enforcing, no flow reversal
Nominal condition
Modelica.Units.SI.MassFlowRatem_flow_nominal (from PartialTwoPortInterface)Nominal mass flow rate
Modelica.Units.SI.PressureDifferencedp_nominal (from TwoPortFlowResistanceParameters)Pressure difference
Advanced
Modelica.Units.SI.MassFlowRatem_flow_small (from PartialTwoPortInterface)1E-4*abs(m_flow_nominal)Small mass flow rate for regularization of zero flow
Advanced › Diagnostics
Booleanshow_T (from PartialTwoPortInterface)false= true, if actual temperature at port is computed
Flow resistance
BooleancomputeFlowResistance (from TwoPortFlowResistanceParameters)true=true, compute flow resistance. Set to false to assume no friction
Booleanfrom_dp (from TwoPortFlowResistanceParameters)false= true, use m_flow = f(dp) else dp = f(m_flow)
BooleanlinearizeFlowResistance (from TwoPortFlowResistanceParameters)false= true, use linear relation between m_flow and dp for any flow rate
RealdeltaM (from TwoPortFlowResistanceParameters)0.1Fraction of nominal flow rate where flow transitions to laminar
Dynamics › Conservation equations
Modelica.Fluid.Types.DynamicsenergyDynamics (from PartialPrescribedOutlet)Modelica.Fluid.Types.Dynamics.SteadyStateType of energy balance: dynamic (3 initialization options) or steady state
Dynamics
Modelica.Units.SI.Timetau (from PartialPrescribedOutlet)10Time constant at nominal flow rate (used if energyDynamics not equal Modelica.Fluid.Types.Dynamics.SteadyState)
Initialization
Modelica.Units.SI.TemperatureT_startMedium.T_defaultStart value of temperature

Connectors

TypeNameDefaultDescription
Modelica.Fluid.Interfaces.FluidPort_aport_a (from PartialTwoPort)Fluid connector a (positive design flow direction is from port_a to port_b)
Modelica.Fluid.Interfaces.FluidPort_bport_b (from PartialTwoPort)Fluid connector b (positive design flow direction is from port_a to port_b)
Modelica.Blocks.Interfaces.RealInputTSetSet point temperature of the fluid that leaves port_b
Modelica.Blocks.Interfaces.RealOutputQ_flowHeat flow rate added to the fluid (if flow is from port_a to port_b)

Components

TypeNameDefaultDescription
Modelica.Units.SI.MassFlowRatem_flow (from PartialTwoPortInterface)port_a.m_flowMass flow rate from port_a to port_b (m_flow > 0 is design flow direction)
Modelica.Units.SI.PressureDifferencedp (from PartialTwoPortInterface)port_a.p - port_b.pPressure difference between port_a and port_b
Medium.ThermodynamicStatesta_a (from PartialTwoPortInterface)if allowFlowReversal then Medium.setState_phX(port_a.p, noEvent(actualStream(port_a.h_outflow)), noEvent(actualStream(port_a.Xi_outflow))) else Medium.setState_phX(port_a.p, noEvent(inStream(port_a.h_outflow)), noEvent(inStream(port_a.Xi_outflow)))Medium properties in port_a
Medium.ThermodynamicStatesta_b (from PartialTwoPortInterface)if allowFlowReversal then Medium.setState_phX(port_b.p, noEvent(actualStream(port_b.h_outflow)), noEvent(actualStream(port_b.Xi_outflow))) else Medium.setState_phX(port_b.p, noEvent(port_b.h_outflow), noEvent(port_b.Xi_outflow))Medium properties in port_b

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