Annex60.Utilities.Psychrometrics

IEA EBC Annex 60

Annex60.Utilities.Psychrometrics

Library with psychrometric functions

Information

This package contains blocks and functions for psychrometric calculations.

The nomenclature used in this package is described at Annex60.UsersGuide.Conventions.

Extends from Modelica.Icons.VariantsPackage (Icon for package containing variants).

Package Content

Name	Description
Constants	Library of constants for psychometric functions
Density_pTX	Block to compute the density for given pressure, dry bulb temperature and moisture mass fraction
Phi_pTX	Block to compute the relative humidity for given pressure, dry bulb temperature and moisture mass fraction
SaturationPressure	Saturation pressure as a function of temperature
SaturationPressureLiquid	Saturation pressure as a function of temperature
SublimationPressureIce	Saturation pressure as a function of temperature
TDewPoi_pW	Model to compute the dew point temperature for given water vapor pressure of moist air
TWetBul_TDryBulPhi	Model to compute the wet bulb temperature based on relative humidity
TWetBul_TDryBulXi	Model to compute the wet bulb temperature based on mass fraction
ToDryAir	Block to convert absolute humidity from [kg/kg total air] to [kg/kg dry air]
ToTotalAir	Block to convert absolute humidity from [kg/kg dry air] to [kg/kg total air]
X_pTphi	Return steam mass fraction as a function of relative humidity phi and temperature T
X_pW	Humidity ratio for given water vapor pressure
pW_TDewPoi	Model to compute the water vapor pressure for a given dew point temperature of moist air
pW_X	Water vapor pressure for given humidity ratio
Functions	Package with psychrometric functions
Examples	Collection of models that illustrate model use and test models
BaseClasses	Package with base classes for Annex60.Utilities.Psychrometrics

Annex60.Utilities.Psychrometrics.Density_pTX

Block to compute the density for given pressure, dry bulb temperature and moisture mass fraction

Annex60.Utilities.Psychrometrics.Density_pTX

Information

Block to compute the mass density of air for given pressure, temperature and water vapor mass fraction.

Note that the water vapor mass fraction must be in kg/kg total air, and not dry air.

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Connectors

Type	Name	Description
input RealInput	T	Dry bulb temperature [K]
input RealInput	X_w	Water vapor mass fraction per unit mass total air [1]
input RealInput	p	Pressure [Pa]
output RealOutput	d	Density [kg/m3]

Modelica definition

block Density_pTX "Block to compute the density for given pressure, dry bulb temperature and moisture mass fraction" extends Modelica.Blocks.Icons.Block; Modelica.Blocks.Interfaces.RealInput T( final quantity="ThermodynamicTemperature", final unit="K", min=0) "Dry bulb temperature"; Modelica.Blocks.Interfaces.RealInput X_w( final unit="1", min=0) "Water vapor mass fraction per unit mass total air"; Modelica.Blocks.Interfaces.RealInput p(final quantity="Pressure", final unit="Pa", displayUnit="Pa", min = 0) "Pressure"; Modelica.Blocks.Interfaces.RealOutput d( final unit="kg/m3", final quantity="Density", final min=0) "Density"; equation d = Annex60.Utilities.Psychrometrics.Functions.density_pTX( p=p, T=T, X_w=X_w); end Density_pTX;

Annex60.Utilities.Psychrometrics.Phi_pTX

Block to compute the relative humidity for given pressure, dry bulb temperature and moisture mass fraction

Annex60.Utilities.Psychrometrics.Phi_pTX

Information

Block to compute the relative humidity of air for given pressure, temperature and water vapor mass fraction.

Note that the water vapor mass fraction must be in kg/kg total air, and not dry air.

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Connectors

Type	Name	Description
input RealInput	T	Dry bulb temperature [K]
input RealInput	X_w	Water vapor mass fraction per unit mass total air [1]
input RealInput	p	Pressure [Pa]
output RealOutput	phi	Relative humidity [1]

Modelica definition

block Phi_pTX "Block to compute the relative humidity for given pressure, dry bulb temperature and moisture mass fraction" extends Modelica.Blocks.Icons.Block; Modelica.Blocks.Interfaces.RealInput T( final quantity="ThermodynamicTemperature", final unit="K", min=0) "Dry bulb temperature"; Modelica.Blocks.Interfaces.RealInput X_w( final unit="1", min=0) "Water vapor mass fraction per unit mass total air"; Modelica.Blocks.Interfaces.RealInput p(final quantity="Pressure", final unit="Pa", displayUnit="Pa", min = 0) "Pressure"; Modelica.Blocks.Interfaces.RealOutput phi( final unit="1") "Relative humidity"; equation phi = Annex60.Utilities.Psychrometrics.Functions.phi_pTX( p=p, T=T, X_w=X_w); end Phi_pTX;

Annex60.Utilities.Psychrometrics.SaturationPressure

Saturation pressure as a function of temperature

Annex60.Utilities.Psychrometrics.SaturationPressure

Information

Saturation pressure of water, computed from temperature, according to Wagner et al. (1993). The range of validity is between 190 and 373.16 Kelvin.

References

Wagner W., A. Saul, A. Pruss. International equations for the pressure along the melting and along the sublimation curve of ordinary water substance, equation 3.5. 1993. http://www.nist.gov/data/PDFfiles/jpcrd477.pdf.

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Connectors

Type	Name	Description
input RealInput	TSat	Saturation temperature [K]
output RealOutput	pSat	Saturation pressure [Pa]

Modelica definition

block SaturationPressure "Saturation pressure as a function of temperature" extends Modelica.Blocks.Icons.Block; Modelica.Blocks.Interfaces.RealInput TSat(unit="K", displayUnit="degC", nominal=300) "Saturation temperature"; Modelica.Blocks.Interfaces.RealOutput pSat(unit="Pa", displayUnit="Pa", nominal=1000) "Saturation pressure"; equation pSat = Annex60.Utilities.Psychrometrics.Functions.saturationPressure(TSat); end SaturationPressure;

Annex60.Utilities.Psychrometrics.SaturationPressureLiquid

Saturation pressure as a function of temperature

Annex60.Utilities.Psychrometrics.SaturationPressureLiquid

Information

Saturation pressure of water above the triple point temperature computed from temperature according to Wagner et al. (1993). The range of validity is between 273.16 and 373.16 Kelvin.

References

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Connectors

Type	Name	Description
input RealInput	TSat	Saturation temperature [K]
output RealOutput	pSat	Saturation pressure [Pa]

Modelica definition

block SaturationPressureLiquid "Saturation pressure as a function of temperature" extends Modelica.Blocks.Icons.Block; Modelica.Blocks.Interfaces.RealInput TSat(unit="K", displayUnit="degC", nominal=300) "Saturation temperature"; Modelica.Blocks.Interfaces.RealOutput pSat(unit="Pa", displayUnit="Pa", nominal=1000) "Saturation pressure"; equation pSat = Annex60.Utilities.Psychrometrics.Functions.saturationPressureLiquid(TSat); end SaturationPressureLiquid;

Annex60.Utilities.Psychrometrics.SublimationPressureIce

Saturation pressure as a function of temperature

Annex60.Utilities.Psychrometrics.SublimationPressureIce

Information

Sublimation pressure of water below the triple point temperature, computed from temperature, according to Wagner et al. (1993). The range of validity is between 190 and 273.16 Kelvin.

References

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Connectors

Type	Name	Description
input RealInput	TSat	Saturation temperature [K]
output RealOutput	pSat	Saturation pressure [Pa]

Modelica definition

block SublimationPressureIce "Saturation pressure as a function of temperature" extends Modelica.Blocks.Icons.Block; Modelica.Blocks.Interfaces.RealInput TSat(unit="K", displayUnit="degC", nominal=300) "Saturation temperature"; Modelica.Blocks.Interfaces.RealOutput pSat(unit="Pa", displayUnit="Pa", nominal=1000) "Saturation pressure"; equation pSat = Annex60.Utilities.Psychrometrics.Functions.sublimationPressureIce(TSat); end SublimationPressureIce;

Annex60.Utilities.Psychrometrics.TDewPoi_pW

Model to compute the dew point temperature for given water vapor pressure of moist air

Annex60.Utilities.Psychrometrics.TDewPoi_pW

Information

Dew point temperature calculation for moist air above freezing temperature.

The correlation used in this model is valid for dew point temperatures between 0°C and 200°C. It is the correlation from 2005 ASHRAE Handbook, p. 6.2. In an earlier version of this model, the equation from Peppers has been used, but this equation yielded about 15 Kelvin lower dew point temperatures.

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Connectors

Type	Name	Description
input RealInput	p_w	Water vapor partial pressure [Pa]
output RealOutput	T	Dew point temperature [K]

Modelica definition

block TDewPoi_pW "Model to compute the dew point temperature for given water vapor pressure of moist air" extends Modelica.Blocks.Icons.Block; Modelica.Blocks.Interfaces.RealInput p_w(final quantity="Pressure", final unit="Pa", displayUnit="Pa") "Water vapor partial pressure"; Modelica.Blocks.Interfaces.RealOutput T(start=278.15, final quantity="ThermodynamicTemperature", final unit="K", min = 0, displayUnit="degC") "Dew point temperature"; equation p_w = Annex60.Utilities.Psychrometrics.Functions.pW_TDewPoi(T=T); end TDewPoi_pW;

Annex60.Utilities.Psychrometrics.TWetBul_TDryBulPhi

Model to compute the wet bulb temperature based on relative humidity

Annex60.Utilities.Psychrometrics.TWetBul_TDryBulPhi

Information

This block computes the wet bulb temperature for a given dry bulb temperature, relative air humidity and atmospheric pressure.

If the constant approximateWetBulb is true, then the block uses the approximation of Stull (2011) to compute the wet bulb temperature without requiring a nonlinear equation. Otherwise, the model will introduce one nonlinear equation. The approximation by Stull is valid for a relative humidity of 5% to 99%, a temperature range from -20°C to 50°C and standard sea level pressure. For this range of data, the approximation error is -1 Kelvin to +0.65 Kelvin, with a mean error of less than 0.3 Kelvin.

Otherwise a calculation based on an energy balance is used. See #474 for a discussion. The model is validated in Annex60.Utilities.Psychrometrics.Examples.TWetBul_TDryBulPhi.

For a model that takes the mass fraction instead of the relative humidity as an input, see Annex60.Utilities.Psychrometrics.TWetBul_TDryBulXi.

References

Stull, Roland. Wet-Bulb Temperature from Relative Humidity and Air Temperature Roland Stull. Journal of Applied Meteorology and Climatology. Volume 50, Issue 11, pp. 2267-2269. November 2011 DOI: 10.1175/JAMC-D-11-0143.1

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Parameters

Type	Name	Default	Description
replaceable package Medium		Modelica.Media.Interfaces.Pa...	Medium model
Boolean	approximateWetBulb	false	Set to true to approximate wet bulb temperature

Connectors

Type	Name	Description
replaceable package Medium		Medium model
input RealInput	TDryBul	Dry bulb temperature [K]
input RealInput	phi	Relative air humidity
input RealInput	p	Pressure [Pa]
output RealOutput	TWetBul	Wet bulb temperature [K]

Modelica definition

block TWetBul_TDryBulPhi "Model to compute the wet bulb temperature based on relative humidity" extends Modelica.Blocks.Icons.Block; replaceable package Medium = Modelica.Media.Interfaces.PartialCondensingGases "Medium model"; parameter Boolean approximateWetBulb=false "Set to true to approximate wet bulb temperature"; Modelica.Blocks.Interfaces.RealInput TDryBul( start=Medium.T_default, final quantity="ThermodynamicTemperature", final unit="K", min=0) "Dry bulb temperature"; Modelica.Blocks.Interfaces.RealInput phi(min=0, max=1) "Relative air humidity"; Modelica.Blocks.Interfaces.RealInput p(final quantity="Pressure", final unit="Pa", min = 0) "Pressure"; Modelica.Blocks.Interfaces.RealOutput TWetBul( start=Medium.T_default-2, final quantity="ThermodynamicTemperature", final unit="K", min=0) "Wet bulb temperature"; protected Modelica.SIunits.Conversions.NonSIunits.Temperature_degC TDryBul_degC "Dry bulb temperature in degree Celsius"; Real rh_per(min=0) "Relative humidity in percentage"; Modelica.SIunits.MassFraction XiDryBul "Water vapor mass fraction at dry bulb state"; Modelica.SIunits.MassFraction XiSat "Water vapor mass fraction at saturation"; Modelica.SIunits.MassFraction XiSatRefIn "Water vapor mass fraction at saturation, referenced to inlet mass flow rate"; equation if approximateWetBulb then TDryBul_degC = TDryBul - 273.15; rh_per = 100*phi; TWetBul = 273.15 + TDryBul_degC * Modelica.Math.atan(0.151977 * sqrt(rh_per + 8.313659)) + Modelica.Math.atan(TDryBul_degC + rh_per) - Modelica.Math.atan(rh_per-1.676331) + 0.00391838 * rh_per^(1.5) * Modelica.Math.atan( 0.023101 * rh_per) - 4.686035; XiSat = 0; XiDryBul = 0; XiSatRefIn=0; else XiSatRefIn=(1-XiDryBul)*XiSat/(1-XiSat); XiSat = Annex60.Utilities.Psychrometrics.Functions.X_pSatpphi( pSat = Annex60.Utilities.Psychrometrics.Functions.saturationPressureLiquid(TWetBul), p = p, phi = 1); XiDryBul =Annex60.Utilities.Psychrometrics.Functions.X_pSatpphi( p = p, pSat = Annex60.Utilities.Psychrometrics.Functions.saturationPressureLiquid(TDryBul), phi = phi); (TWetBul-Annex60.Utilities.Psychrometrics.Constants.T_ref) * ( (1-XiDryBul) * Annex60.Utilities.Psychrometrics.Constants.cpAir + XiSatRefIn * Annex60.Utilities.Psychrometrics.Constants.cpSte + (XiDryBul-XiSatRefIn) * Annex60.Utilities.Psychrometrics.Constants.cpWatLiq) = (TDryBul-Annex60.Utilities.Psychrometrics.Constants.T_ref) * ( (1-XiDryBul) * Annex60.Utilities.Psychrometrics.Constants.cpAir + XiDryBul * Annex60.Utilities.Psychrometrics.Constants.cpSte) + (XiDryBul-XiSatRefIn) * Annex60.Utilities.Psychrometrics.Constants.h_fg; TDryBul_degC = 0; rh_per = 0; end if; end TWetBul_TDryBulPhi;

Annex60.Utilities.Psychrometrics.TWetBul_TDryBulXi

Model to compute the wet bulb temperature based on mass fraction

Annex60.Utilities.Psychrometrics.TWetBul_TDryBulXi

Information

This block computes the wet bulb temperature for a given dry bulb temperature, mass fraction and atmospheric pressure.

If the constant approximateWetBulb is true, then the block uses the approximation of Stull (2011) to compute the wet bulb temperature without requiring a nonlinear equation. Otherwise, the model will introduce one nonlinear equation. The approximation by Stull is valid for a relative humidity of 5% to 99%, a temperature range from -20ˆC to 50ˆC and standard sea level pressure. For this range of data, the approximation error is -1 Kelvin to +0.65 Kelvin, with a mean error of less than 0.3 Kelvin.

Otherwise a calculation based on an energy balance is used. See #474 for a discussion.

For a model that takes the relative humidity instead of the mass fraction as an input, see Annex60.Utilities.Psychrometrics.TWetBul_TDryBulPhi.

References

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Parameters

Type	Name	Default	Description
replaceable package Medium		Modelica.Media.Interfaces.Pa...	Medium model
Boolean	approximateWetBulb	false	Set to true to approximate wet bulb temperature

Connectors

Type	Name	Description
replaceable package Medium		Medium model
input RealInput	TDryBul	Dry bulb temperature [K]
input RealInput	p	Pressure [Pa]
output RealOutput	TWetBul	Wet bulb temperature [K]
input RealInput	Xi[Medium.nXi]	Species concentration at dry bulb temperature

Modelica definition

block TWetBul_TDryBulXi "Model to compute the wet bulb temperature based on mass fraction" extends Modelica.Blocks.Icons.Block; replaceable package Medium = Modelica.Media.Interfaces.PartialCondensingGases "Medium model"; parameter Boolean approximateWetBulb=false "Set to true to approximate wet bulb temperature"; Modelica.Blocks.Interfaces.RealInput TDryBul( start=303, final quantity="ThermodynamicTemperature", final unit="K", min=0) "Dry bulb temperature"; Modelica.Blocks.Interfaces.RealInput p( final quantity="Pressure", final unit="Pa", min = 0) "Pressure"; Modelica.Blocks.Interfaces.RealOutput TWetBul( start=293, final quantity="ThermodynamicTemperature", final unit="K", min=0) "Wet bulb temperature"; Modelica.Blocks.Interfaces.RealInput Xi[Medium.nXi] "Species concentration at dry bulb temperature"; protected Modelica.SIunits.Conversions.NonSIunits.Temperature_degC TDryBul_degC "Dry bulb temperature in degree Celsius"; Real rh_per(min=0) "Relative humidity in percentage"; Modelica.SIunits.MassFraction XiSat(start=0.01, nominal=0.01) "Water vapor mass fraction at saturation"; Modelica.SIunits.MassFraction XiSatRefIn "Water vapor mass fraction at saturation, referenced to inlet mass flow rate"; parameter Integer iWat(fixed=false) "Index of water in medium composition vector"; initial algorithm iWat:=-1; for i in 1:Medium.nX loop if Modelica.Utilities.Strings.isEqual(string1=Medium.substanceNames[i], string2="Water", caseSensitive=false) then iWat :=i; end if; end for; assert(iWat > 0, "Did not find medium species 'water' in the medium model. Change medium model."); equation if approximateWetBulb then TDryBul_degC = TDryBul - 273.15; rh_per = 100 * p/ Annex60.Utilities.Psychrometrics.Functions.saturationPressure(TDryBul) *Xi[iWat]/(Xi[iWat] + Annex60.Utilities.Psychrometrics.Constants.k_mair*(1-Xi[iWat])); TWetBul = 273.15 + TDryBul_degC * Modelica.Math.atan(0.151977 * sqrt(rh_per + 8.313659)) + Modelica.Math.atan(TDryBul_degC + rh_per) - Modelica.Math.atan(rh_per-1.676331) + 0.00391838 * rh_per^(1.5) * Modelica.Math.atan( 0.023101 * rh_per) - 4.686035; XiSat = 0; XiSatRefIn=0; else XiSatRefIn=(1-Xi[iWat])*XiSat/(1-XiSat); XiSat = Annex60.Utilities.Psychrometrics.Functions.X_pSatpphi( pSat = Annex60.Utilities.Psychrometrics.Functions.saturationPressureLiquid(TWetBul), p = p, phi = 1); (TWetBul-Annex60.Utilities.Psychrometrics.Constants.T_ref) * ( (1-Xi[iWat]) * Annex60.Utilities.Psychrometrics.Constants.cpAir + XiSatRefIn * Annex60.Utilities.Psychrometrics.Constants.cpSte + (Xi[iWat]-XiSatRefIn) * Annex60.Utilities.Psychrometrics.Constants.cpWatLiq) = (TDryBul-Annex60.Utilities.Psychrometrics.Constants.T_ref) * ( (1-Xi[iWat]) * Annex60.Utilities.Psychrometrics.Constants.cpAir + Xi[iWat] * Annex60.Utilities.Psychrometrics.Constants.cpSte) + (Xi[iWat]-XiSatRefIn) * Annex60.Utilities.Psychrometrics.Constants.h_fg; TDryBul_degC = 0; rh_per = 0; end if; end TWetBul_TDryBulXi;

Annex60.Utilities.Psychrometrics.ToDryAir

Block to convert absolute humidity from [kg/kg total air] to [kg/kg dry air]

Annex60.Utilities.Psychrometrics.ToDryAir

Information

Block that converts humidity concentration from [kg/kg total air] to [kg/kg dry air].

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Connectors

Type	Name	Description
output RealOutput	XiDry	Water vapor concentration in [kg/kg dry air]
input RealInput	XiTotalAir	Water vapor concentration in [kg/kg total air]

Modelica definition

block ToDryAir "Block to convert absolute humidity from [kg/kg total air] to [kg/kg dry air]" extends Modelica.Blocks.Icons.Block; Modelica.Blocks.Interfaces.RealOutput XiDry "Water vapor concentration in [kg/kg dry air]"; Modelica.Blocks.Interfaces.RealInput XiTotalAir "Water vapor concentration in [kg/kg total air]"; equation XiDry = XiTotalAir / (1-XiTotalAir); end ToDryAir;

Annex60.Utilities.Psychrometrics.ToTotalAir

Block to convert absolute humidity from [kg/kg dry air] to [kg/kg total air]

Annex60.Utilities.Psychrometrics.ToTotalAir

Information

Block that converts humidity concentration from [kg/kg dry air] to [kg/kg total air].

This block may be used, for example, to convert absolute humidity that is received from EnergyPlus to [kg/kg total air], which is the convention used by Modelica.Media.

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Connectors

Type	Name	Description
output RealOutput	XiTotalAir	Water vapor concentration in [kg/kg total air]
input RealInput	XiDry	Water vapor concentration in [kg/kg dry air]
output RealOutput	XNonVapor	Mass fraction of remaining substances

Modelica definition

block ToTotalAir "Block to convert absolute humidity from [kg/kg dry air] to [kg/kg total air]" extends Modelica.Blocks.Icons.Block; Modelica.Blocks.Interfaces.RealOutput XiTotalAir "Water vapor concentration in [kg/kg total air]"; Modelica.Blocks.Interfaces.RealInput XiDry "Water vapor concentration in [kg/kg dry air]"; Modelica.Blocks.Interfaces.RealOutput XNonVapor "Mass fraction of remaining substances"; equation XiTotalAir = XiDry / (1+XiDry); XNonVapor = 1 - XiTotalAir; end ToTotalAir;

Annex60.Utilities.Psychrometrics.X_pTphi

Return steam mass fraction as a function of relative humidity phi and temperature T

Annex60.Utilities.Psychrometrics.X_pTphi

Information

Block to compute the water vapor concentration based on pressure, temperature and relative humidity.

If use_p_in is false (default option), the p parameter is used as atmospheric pressure, and the p_in input connector is disabled; if use_p_in is true, then the p parameter is ignored, and the value provided by the input connector is used instead.

Extends from Annex60.Utilities.Psychrometrics.BaseClasses.HumidityRatioVaporPressure (Humidity ratio for given water vapor pressure).

Parameters

Type	Name	Default	Description
Boolean	use_p_in	true	Get the pressure from the input connector
Pressure	p	101325	Fixed value of pressure [Pa]

Connectors

Type	Name	Description
input RealInput	p_in	Atmospheric Pressure [Pa]
input RealInput	T	Temperature [K]
input RealInput	phi	Relative humidity (0...1)
output RealOutput	X[Medium.nX]	Steam mass fraction

Modelica definition

block X_pTphi "Return steam mass fraction as a function of relative humidity phi and temperature T" extends Annex60.Utilities.Psychrometrics.BaseClasses.HumidityRatioVaporPressure; package Medium = Annex60.Media.Air "Medium model"; Modelica.Blocks.Interfaces.RealInput T(final unit="K", displayUnit="degC", min = 0) "Temperature"; Modelica.Blocks.Interfaces.RealInput phi(min = 0, max=1) "Relative humidity (0...1)"; Modelica.Blocks.Interfaces.RealOutput X[Medium.nX](each min=0, each max=1) "Steam mass fraction"; protected Modelica.SIunits.AbsolutePressure pSat "Saturation pressure"; parameter Integer i_w(min=1, fixed=false) "Index for water substance"; parameter Integer i_nw(min=1, fixed=false) "Index for non-water substance"; parameter Boolean found(fixed=false) "Flag, used for error checking"; initial algorithm assert(Medium.nX==2, "The implementation is only valid if Medium.nX=2."); found:=false; i_w :=1; for i in 1:Medium.nXi loop if Modelica.Utilities.Strings.isEqual(string1=Medium.substanceNames[i], string2="water", caseSensitive=false) then i_w :=i; found:=true; end if; end for; i_nw := if i_w == 1 then 2 else 1; assert(found, "Did not find medium species 'water' in the medium model. Change medium model."); algorithm pSat := Annex60.Media.Air.saturationPressure(T); X[i_w] := Annex60.Utilities.Psychrometrics.Functions.X_pSatpphi( pSat=pSat, p=p_in_internal, phi=phi); //sum(X[:]) = 1; // The formulation with a sum in an equation section leads to a nonlinear equation system X[i_nw] := 1 - X[i_w]; end X_pTphi;

Annex60.Utilities.Psychrometrics.X_pW

Humidity ratio for given water vapor pressure

Annex60.Utilities.Psychrometrics.X_pW

Information

Block to compute the humidity ratio for a given water vapor partial pressure.

Extends from Annex60.Utilities.Psychrometrics.BaseClasses.HumidityRatioVaporPressure (Humidity ratio for given water vapor pressure).

Parameters

Type	Name	Default	Description
Boolean	use_p_in	true	Get the pressure from the input connector
Pressure	p	101325	Fixed value of pressure [Pa]

Connectors

Type	Name	Description
input RealInput	p_in	Atmospheric Pressure [Pa]
output RealOutput	X_w	Species concentration at dry bulb temperature
input RealInput	p_w	Water vapor pressure [Pa]

Modelica definition

block X_pW "Humidity ratio for given water vapor pressure" extends Annex60.Utilities.Psychrometrics.BaseClasses.HumidityRatioVaporPressure; Modelica.Blocks.Interfaces.RealOutput X_w(min=0, max=1, nominal=0.01) "Species concentration at dry bulb temperature"; Modelica.Blocks.Interfaces.RealInput p_w(final quantity="Pressure", final unit="Pa", displayUnit="Pa", min = 0.003, start=2000, nominal=1000) "Water vapor pressure"; output Modelica.SIunits.MassFraction x_w(min=0, max=1, nominal=0.01, start=0.001) "Water mass fraction per mass of dry air"; equation X_w = Annex60.Utilities.Psychrometrics.Functions.X_pW(p_w=p_w, p=p_in_internal); x_w = X_w/(1-X_w); end X_pW;

Annex60.Utilities.Psychrometrics.pW_TDewPoi

Model to compute the water vapor pressure for a given dew point temperature of moist air

Annex60.Utilities.Psychrometrics.pW_TDewPoi

Information

Block to compute the water vapor pressure for a given dew point temperature.

The correlation used in this model is valid for dew point temperatures between 0°C and 30°C. It is an approximation to the correlation from 2005 ASHRAE Handbook, p. 6.2, which is valid in a wider range of temperatures and implemented in Annex60.Utilities.Psychrometrics.Functions.pW_TDewPoi. The approximation error of this simplified function is below 5% for a temperature of 0°C to 30°C. The benefit of this simpler function is that it can be inverted analytically, whereas the other function requires a numerical solution.

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Connectors

Type	Name	Description
output RealOutput	p_w	Water vapor partial pressure
input RealInput	T	Dew point temperature [K]

Modelica definition

block pW_TDewPoi "Model to compute the water vapor pressure for a given dew point temperature of moist air" extends Modelica.Blocks.Icons.Block; Modelica.Blocks.Interfaces.RealOutput p_w "Water vapor partial pressure"; Modelica.Blocks.Interfaces.RealInput T(final quantity="ThermodynamicTemperature", final unit="K", min = 0, displayUnit="degC") "Dew point temperature"; equation p_w = Annex60.Utilities.Psychrometrics.Functions.pW_TDewPoi_amb(T=T); end pW_TDewPoi;

Annex60.Utilities.Psychrometrics.pW_X

Water vapor pressure for given humidity ratio

Annex60.Utilities.Psychrometrics.pW_X

Information

Block to compute the water vapor partial pressure for a given humidity ratio.

Extends from Annex60.Utilities.Psychrometrics.BaseClasses.HumidityRatioVaporPressure (Humidity ratio for given water vapor pressure).

Parameters

Type	Name	Default	Description
Boolean	use_p_in	true	Get the pressure from the input connector
Pressure	p	101325	Fixed value of pressure [Pa]

Connectors

Type	Name	Description
input RealInput	p_in	Atmospheric Pressure [Pa]
input RealInput	X_w	Water concentration at dry bulb temperature
output RealOutput	p_w	Water vapor pressure [Pa]

Modelica definition

block pW_X "Water vapor pressure for given humidity ratio" extends Annex60.Utilities.Psychrometrics.BaseClasses.HumidityRatioVaporPressure; Modelica.Blocks.Interfaces.RealInput X_w(min=0, max=0.99999, nominal=0.1) "Water concentration at dry bulb temperature"; Modelica.Blocks.Interfaces.RealOutput p_w(final quantity="Pressure", final unit="Pa", displayUnit="Pa", min = 0) "Water vapor pressure"; output Modelica.SIunits.MassFraction x_w(min=0, max=1, nominal=0.1, start=0.001) "Water mass fraction per mass of dry air"; equation p_w = Annex60.Utilities.Psychrometrics.Functions.pW_X(X_w=X_w, p=p_in_internal); x_w = X_w/(1-X_w); end pW_X;

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