Buildings.Utilities.Psychrometrics.Functions.BaseClasses

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Buildings.Utilities.Psychrometrics.Functions.BaseClasses

Package with base classes for Buildings.Utilities.Psychrometrics.Functions

Information

This package contains base classes that are used to construct the models in Buildings.Utilities.Psychrometrics.Functions.

Extends from Modelica.Icons.BasesPackage (Icon for packages containing base classes).

Package Content

Name	Description
der_TDewPoi_pW_amb	Derivative of function TDewPoi_pW_amb
der_pW_TDewPoi	Derivative of function pW_TDewPoi
der_pW_TDewPoi_amb	Derivative of function pW_TDewPoi_amb
der_pW_X	Derivative of function pW_X
der_saturationPressureLiquid	Derivative of the function saturationPressureLiquid
der_sublimationPressureIce	Derivative of function sublimationPressureIce
Examples	Collection of models that illustrate model use and test models

Buildings.Utilities.Psychrometrics.Functions.BaseClasses.der_TDewPoi_pW_amb

Derivative of function TDewPoi_pW_amb

Information

Derivative of dew point temperature calculation for moist air.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Default	Description
Pressure	p_w		Water vapor partial pressure [Pa]
Real	dp_w		Differential of water vapor partial pressure

Outputs

Type	Name	Description
Real	dT	Differential of dew point temperature

Modelica definition

function der_TDewPoi_pW_amb "Derivative of function TDewPoi_pW_amb" extends Modelica.Icons.Function; input Modelica.SIunits.Pressure p_w "Water vapor partial pressure"; input Real dp_w "Differential of water vapor partial pressure"; output Real dT "Differential of dew point temperature"; protected constant Modelica.SIunits.Temperature T1=283.15 "First support point"; constant Modelica.SIunits.Temperature T2=293.15 "Second support point"; constant Modelica.SIunits.Pressure p1=1227.97 "First support point"; constant Modelica.SIunits.Pressure p2=2338.76 "Second support point"; constant Real a1=(Modelica.Math.log(p2) - Modelica.Math.log(p1)*T2/T1)/(1 - T2/T1); constant Real a2(unit="1/K")=(Modelica.Math.log(p1) - a1)/T1; algorithm dT := dp_w / (a2*p_w); end der_TDewPoi_pW_amb;

Buildings.Utilities.Psychrometrics.Functions.BaseClasses.der_pW_TDewPoi

Derivative of function pW_TDewPoi

Information

Derivative of dew point temperature calculation for moist air above freezing temperature.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Default	Description
Temperature	T		Dew point temperature [K]
Real	dT		Temperature differential

Outputs

Type	Name	Description
Real	dp_w	Differential of water vapor partial pressure

Modelica definition

function der_pW_TDewPoi "Derivative of function pW_TDewPoi" extends Modelica.Icons.Function; input Modelica.SIunits.Temperature T "Dew point temperature"; input Real dT "Temperature differential"; output Real dp_w "Differential of water vapor partial pressure"; protected constant Real C8=-5.800226E3; constant Real C9=1.3914993E0; constant Real C10=-4.8640239E-2; constant Real C11=4.1764768E-5; constant Real C12=-1.4452093E-8; constant Real C13=6.5459673E0; algorithm dp_w := Modelica.Math.exp(C8/T + C9 + T*(C10 + T*(C11 + T*C12)) + C13* Modelica.Math.log(T))*(-C8/T/T + C10 + 2*C11*T + 3*C12*T*T + C13/T)*dT; end der_pW_TDewPoi;

Buildings.Utilities.Psychrometrics.Functions.BaseClasses.der_pW_TDewPoi_amb

Derivative of function pW_TDewPoi_amb

Information

Derivative of dew point temperature calculation for moist air.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Default	Description
Temperature	T		Dew point temperature [K]
Real	dT

Outputs

Type	Name	Description
Real	dp_w	Differential of water vapor partial pressure

Modelica definition

function der_pW_TDewPoi_amb "Derivative of function pW_TDewPoi_amb" extends Modelica.Icons.Function; input Modelica.SIunits.Temperature T "Dew point temperature"; input Real dT; output Real dp_w "Differential of water vapor partial pressure"; protected constant Modelica.SIunits.Temperature T1=283.15 "First support point"; constant Modelica.SIunits.Temperature T2=293.15 "Second support point"; constant Modelica.SIunits.Pressure p1=1227.97 "First support point"; constant Modelica.SIunits.Pressure p2=2338.76 "Second support point"; constant Real a1=(Modelica.Math.log(p2) - Modelica.Math.log(p1)*T2/T1)/(1 - T2/T1); constant Real a2(unit="1/K")=(Modelica.Math.log(p1) - a1)/T1; algorithm dp_w:=a2*Modelica.Math.exp(a1 + a2*T)*dT; end der_pW_TDewPoi_amb;

Buildings.Utilities.Psychrometrics.Functions.BaseClasses.der_pW_X

Derivative of function pW_X

Information

Derivative of function Buildings.Utilities.Psychrometrics.Functions.pW_X.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Default	Description
MassFraction	X_w		Species concentration at dry bulb temperature [1]
Pressure	p	101325	Total pressure [Pa]
Real	dX_w		Differential of species concentration at dry bulb temperature
Real	dp		Differential of total pressure

Outputs

Type	Name	Description
Real	dp_w	Differential of water vapor pressure

Modelica definition

function der_pW_X "Derivative of function pW_X" extends Modelica.Icons.Function; input Modelica.SIunits.MassFraction X_w( min=0, max=1, nominal=0.01) "Species concentration at dry bulb temperature"; input Modelica.SIunits.Pressure p=101325 "Total pressure"; input Real dX_w "Differential of species concentration at dry bulb temperature"; input Real dp "Differential of total pressure"; output Real dp_w "Differential of water vapor pressure"; protected Modelica.SIunits.MassFraction x_w(nominal=0.01) "Water mass fraction per mass of dry air"; Real dX_w_dX "Differential d (x_w) / d X_w"; algorithm x_w := X_w/(1 - X_w); dX_w_dX := 1/(1-X_w)^2; dp_w := p * 0.62198 / (0.62198 + x_w)^2 * dX_w_dX * dX_w + x_w/(0.62198 + x_w) * dp; end der_pW_X;

Buildings.Utilities.Psychrometrics.Functions.BaseClasses.der_saturationPressureLiquid

Derivative of the function saturationPressureLiquid

Information

Derivative of function Buildings.Utilities.Psychrometrics.Functions.saturationPressureLiquid.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Default	Description
Temperature	Tsat		Saturation temperature [K]
Real	dTsat		Saturation temperature derivative [K/s]

Outputs

Type	Name	Description
Real	psat_der	Differential of saturation pressure [Pa/s]

Modelica definition

function der_saturationPressureLiquid "Derivative of the function saturationPressureLiquid" extends Modelica.Icons.Function; input Modelica.SIunits.Temperature Tsat "Saturation temperature"; input Real dTsat(unit="K/s") "Saturation temperature derivative"; output Real psat_der(unit="Pa/s") "Differential of saturation pressure"; algorithm psat_der:=611.657*Modelica.Math.exp(17.2799 - 4102.99 /(Tsat - 35.719))*4102.99*dTsat/(Tsat - 35.719)^2; end der_saturationPressureLiquid;

Buildings.Utilities.Psychrometrics.Functions.BaseClasses.der_sublimationPressureIce

Derivative of function sublimationPressureIce

Information

Derivative of function Buildings.Utilities.Psychrometrics.Functions.sublimationPressureIce.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Default	Description
Temperature	TSat		Saturation temperature [K]
Real	dTsat		Sublimation temperature derivative [K/s]

Outputs

Type	Name	Description
Real	psat_der	Sublimation pressure derivative [Pa/s]

Modelica definition

function der_sublimationPressureIce "Derivative of function sublimationPressureIce" extends Modelica.Icons.Function; input Modelica.SIunits.Temperature TSat(displayUnit="degC", nominal=300) "Saturation temperature"; input Real dTsat(unit="K/s") "Sublimation temperature derivative"; output Real psat_der(unit="Pa/s") "Sublimation pressure derivative"; protected Modelica.SIunits.Temperature TTriple=273.16 "Triple point temperature"; Modelica.SIunits.AbsolutePressure pTriple=611.657 "Triple point pressure"; Real r1=TSat/TTriple "Common subexpression 1"; Real r1_der=dTsat/TTriple "Derivative of common subexpression 1"; Real a[2]={-13.9281690,34.7078238} "Coefficients a[:]"; Real n[2]={-1.5,-1.25} "Coefficients n[:]"; algorithm psat_der := exp(a[1] - a[1]*r1^n[1] + a[2] - a[2]*r1^n[2])*pTriple*(-(a[1] *(r1^(n[1] - 1)*n[1]*r1_der)) - (a[2]*(r1^(n[2] - 1)*n[2]*r1_der))); end der_sublimationPressureIce;

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