Modelica.SIunits.Conversions

Information

This package provides conversion functions from the non SI Units defined in package Modelica.SIunits.Conversions.NonSIunits to the corresponding SI Units defined in package Modelica.SIunits and vice versa. It is recommended to use these functions in the following way (note, that all functions have one Real input and one Real output argument):

  import SI = Modelica.SIunits;
  import Modelica.SIunits.Conversions.*;
     ...
  parameter SI.Temperature     T   = from_degC(25);   // convert 25 degree Celsius to Kelvin
  parameter SI.Angle           phi = from_deg(180);   // convert 180 degree to radian
  parameter SI.AngularVelocity w   = from_rpm(3600);  // convert 3600 revolutions per minutes
                                                      // to radian per seconds

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
NonSIunits	Type definitions of non SI units
to_degC	Convert from Kelvin to degCelsius
from_degC	Convert from degCelsius to Kelvin
to_degF	Convert from Kelvin to degFahrenheit
from_degF	Convert from degFahrenheit to Kelvin
to_degRk	Convert from Kelvin to degRankine
from_degRk	Convert from degRankine to Kelvin
to_deg	Convert from radian to degree
from_deg	Convert from degree to radian
to_rpm	Convert from radian per second to revolutions per minute
from_rpm	Convert from revolutions per minute to radian per second
to_kmh	Convert from metre per second to kilometre per hour
from_kmh	Convert from kilometre per hour to metre per second
to_day	Convert from second to day
from_day	Convert from day to second
to_hour	Convert from second to hour
from_hour	Convert from hour to second
to_minute	Convert from second to minute
from_minute	Convert from minute to second
to_litre	Convert from cubic metre to litre
from_litre	Convert from litre to cubic metre
from_Ah	Convert from Ampere hours to Coulomb
to_Ah	Convert from Coulomb to Ampere hours
from_Wh	Convert from Watt hour to Joule
to_Wh	Convert from Joule to Watt hour
to_kWh	Convert from Joule to kilo Watt hour
from_kWh	Convert from kilo Watt hour to Joule
to_bar	Convert from Pascal to bar
from_bar	Convert from bar to Pascal
to_gps	Convert from kilogram per second to gram per second
from_gps	Convert from gram per second to kilogram per second
ConversionIcon	Base icon for conversion functions
from_Hz	Convert from Hz to rad/s
to_Hz	Convert from rad/s to Hz
to_cm2	Convert from square metre to square centrimetre
from_cm2	Convert from square centrimetre to square metre

Modelica.SIunits.Conversions.to_degC

Information

Inputs

Type	Name	Default	Description
Temperature	Kelvin		Kelvin value [K]

Outputs

Type	Name	Description
Temperature_degC	Celsius	Celsius value [degC]

Modelica definition

function to_degC "Convert from Kelvin to degCelsius"
  extends ConversionIcon;
  input Temperature Kelvin "Kelvin value";
  output NonSIunits.Temperature_degC Celsius "Celsius value";
algorithm 
  Celsius := Kelvin + Modelica.Constants.T_zero;
end to_degC;

Modelica.SIunits.Conversions.from_degC

Information

Inputs

Type	Name	Default	Description
Temperature_degC	Celsius		Celsius value [degC]

Outputs

Type	Name	Description
Temperature	Kelvin	Kelvin value [K]

Modelica definition

function from_degC "Convert from degCelsius to Kelvin"
  extends ConversionIcon;
  input NonSIunits.Temperature_degC Celsius "Celsius value";
  output Temperature Kelvin "Kelvin value";
algorithm 
  Kelvin := Celsius - Modelica.Constants.T_zero;
end from_degC;

Modelica.SIunits.Conversions.to_degF

Information

Inputs

Type	Name	Default	Description
Temperature	Kelvin		Kelvin value [K]

Outputs

Type	Name	Description
Temperature_degF	Fahrenheit	Fahrenheit value [degF]

Modelica definition

function to_degF "Convert from Kelvin to degFahrenheit"
  extends ConversionIcon;
  input Temperature Kelvin "Kelvin value";
  output NonSIunits.Temperature_degF Fahrenheit "Fahrenheit value";
algorithm 
  Fahrenheit := (Kelvin + Modelica.Constants.T_zero)*(9/5) + 32;
end to_degF;

Modelica.SIunits.Conversions.from_degF

Information

Inputs

Type	Name	Default	Description
Temperature_degF	Fahrenheit		Fahrenheit value [degF]

Outputs

Type	Name	Description
Temperature	Kelvin	Kelvin value [K]

Modelica definition

function from_degF "Convert from degFahrenheit to Kelvin"
  extends ConversionIcon;
  input NonSIunits.Temperature_degF Fahrenheit "Fahrenheit value";
  output Temperature Kelvin "Kelvin value";
algorithm 
  Kelvin := (Fahrenheit - 32)*(5/9) - Modelica.Constants.T_zero;
end from_degF;

Modelica.SIunits.Conversions.to_degRk

Information

Inputs

Type	Name	Default	Description
Temperature	Kelvin		Kelvin value [K]

Outputs

Type	Name	Description
Temperature_degRk	Rankine	Rankine value [degRk]

Modelica definition

function to_degRk "Convert from Kelvin to degRankine"
  extends ConversionIcon;
  input Temperature Kelvin "Kelvin value";
  output NonSIunits.Temperature_degRk Rankine "Rankine value";
algorithm 
  Rankine := (9/5)*Kelvin;
end to_degRk;

Modelica.SIunits.Conversions.from_degRk

Information

Inputs

Type	Name	Default	Description
Temperature_degRk	Rankine		Rankine value [degRk]

Outputs

Type	Name	Description
Temperature	Kelvin	Kelvin value [K]

Modelica definition

function from_degRk "Convert from degRankine to Kelvin"
  extends ConversionIcon;
  input NonSIunits.Temperature_degRk Rankine "Rankine value";
  output Temperature Kelvin "Kelvin value";
algorithm 
  Kelvin := (5/9)*Rankine;
end from_degRk;

Modelica.SIunits.Conversions.to_deg

Information

Inputs

Type	Name	Default	Description
Angle	radian		radian value [rad]

Outputs

Type	Name	Description
Angle_deg	degree	degree value [deg]

Modelica definition

function to_deg "Convert from radian to degree"
  extends ConversionIcon;
  input Angle radian "radian value";
  output NonSIunits.Angle_deg degree "degree value";
algorithm 
  degree := (180.0/Modelica.Constants.pi)*radian;
end to_deg;

Modelica.SIunits.Conversions.from_deg

Information

Inputs

Type	Name	Default	Description
Angle_deg	degree		degree value [deg]

Outputs

Type	Name	Description
Angle	radian	radian value [rad]

Modelica definition

function from_deg "Convert from degree to radian"
  extends ConversionIcon;
  input NonSIunits.Angle_deg degree "degree value";
  output Angle radian "radian value";
algorithm 
  radian := (Modelica.Constants.pi/180.0)*degree;
end from_deg;

Modelica.SIunits.Conversions.to_rpm

Information

Inputs

Type	Name	Default	Description
AngularVelocity	rs		radian per second value [rad/s]

Outputs

Type	Name	Description
AngularVelocity_rpm	rpm	revolutions per minute value [1/min]

Modelica definition

function to_rpm 
  "Convert from radian per second to revolutions per minute"
  extends ConversionIcon;
  input AngularVelocity rs "radian per second value";
  output NonSIunits.AngularVelocity_rpm rpm "revolutions per minute value";
algorithm 
  rpm := (30/Modelica.Constants.pi)*rs;
end to_rpm;

Modelica.SIunits.Conversions.from_rpm

Information

Inputs

Type	Name	Default	Description
AngularVelocity_rpm	rpm		revolutions per minute value [1/min]

Outputs

Type	Name	Description
AngularVelocity	rs	radian per second value [rad/s]

Modelica definition

function from_rpm 
  "Convert from revolutions per minute to radian per second"
  extends ConversionIcon;
  input NonSIunits.AngularVelocity_rpm rpm "revolutions per minute value";
  output AngularVelocity rs "radian per second value";
algorithm 
  rs := (Modelica.Constants.pi/30)*rpm;
end from_rpm;

Modelica.SIunits.Conversions.to_kmh

Information

Inputs

Type	Name	Default	Description
Velocity	ms		metre per second value [m/s]

Outputs

Type	Name	Description
Velocity_kmh	kmh	kilometre per hour value [km/h]

Modelica definition

function to_kmh "Convert from metre per second to kilometre per hour"
  extends ConversionIcon;
  input Velocity ms "metre per second value";
  output NonSIunits.Velocity_kmh kmh "kilometre per hour value";
algorithm 
  kmh := 3.6*ms;
end to_kmh;

Modelica.SIunits.Conversions.from_kmh

Information

Inputs

Type	Name	Default	Description
Velocity_kmh	kmh		kilometre per hour value [km/h]

Outputs

Type	Name	Description
Velocity	ms	metre per second value [m/s]

Modelica definition

function from_kmh 
  "Convert from kilometre per hour to metre per second"
  extends ConversionIcon;
  input NonSIunits.Velocity_kmh kmh "kilometre per hour value";
  output Velocity ms "metre per second value";
algorithm 
  ms := kmh/3.6;
end from_kmh;

Modelica.SIunits.Conversions.to_day

Information

Inputs

Type	Name	Default	Description
Time	s		second value [s]

Outputs

Type	Name	Description
Time_day	day	day value [d]

Modelica definition

function to_day "Convert from second to day"
  extends ConversionIcon;
  input Time s "second value";
  output NonSIunits.Time_day day "day value";
algorithm 
  day := s/86400;
end to_day;

Modelica.SIunits.Conversions.from_day

Information

Inputs

Type	Name	Default	Description
Time_day	day		day value [d]

Outputs

Type	Name	Description
Time	s	second value [s]

Modelica definition

function from_day "Convert from day to second"
  extends ConversionIcon;
  input NonSIunits.Time_day day "day value";
  output Time s "second value";
algorithm 
  s := 86400*day;
end from_day;

Modelica.SIunits.Conversions.to_hour

Information

Inputs

Type	Name	Default	Description
Time	s		second value [s]

Outputs

Type	Name	Description
Time_hour	hour	hour value [h]

Modelica definition

function to_hour "Convert from second to hour"
  extends ConversionIcon;
  input Time s "second value";
  output NonSIunits.Time_hour hour "hour value";
algorithm 
  hour := s/3600;
end to_hour;

Modelica.SIunits.Conversions.from_hour

Information

Inputs

Type	Name	Default	Description
Time_hour	hour		hour value [h]

Outputs

Type	Name	Description
Time	s	second value [s]

Modelica definition

function from_hour "Convert from hour to second"
  extends ConversionIcon;
  input NonSIunits.Time_hour hour "hour value";
  output Time s "second value";
algorithm 
  s := 3600*hour;
end from_hour;

Modelica.SIunits.Conversions.to_minute

Information

Inputs

Type	Name	Default	Description
Time	s		second value [s]

Outputs

Type	Name	Description
Time_minute	minute	minute value [min]

Modelica definition

function to_minute "Convert from second to minute"
  extends ConversionIcon;
  input Time s "second value";
  output NonSIunits.Time_minute minute "minute value";
algorithm 
  minute := s/60;
end to_minute;

Modelica.SIunits.Conversions.from_minute

Information

Inputs

Type	Name	Default	Description
Time_minute	minute		minute value [min]

Outputs

Type	Name	Description
Time	s	second value [s]

Modelica definition

function from_minute "Convert from minute to second"
  extends ConversionIcon;
  input NonSIunits.Time_minute minute "minute value";
  output Time s "second value";
algorithm 
  s := 60*minute;
end from_minute;

Modelica.SIunits.Conversions.to_litre

Information

Inputs

Type	Name	Default	Description
Volume	m3		cubic metre value [m3]

Outputs

Type	Name	Description
Volume_litre	litre	litre value [l]

Modelica definition

function to_litre "Convert from cubic metre to litre"
  extends ConversionIcon;
  input Volume m3 "cubic metre value";
  output NonSIunits.Volume_litre litre "litre value";
algorithm 
  litre := 1000*m3;
end to_litre;

Modelica.SIunits.Conversions.from_litre

Information

Inputs

Type	Name	Default	Description
Volume_litre	litre		litre value [l]

Outputs

Type	Name	Description
Volume	m3	cubic metre value [m3]

Modelica definition

function from_litre "Convert from litre to cubic metre"
  extends ConversionIcon;
  input NonSIunits.Volume_litre litre "litre value";
  output Volume m3 "cubic metre value";
algorithm 
  m3 := litre/1000;
end from_litre;

Modelica.SIunits.Conversions.from_Ah

Information

Inputs

Type	Name	Default	Description
ElectricCharge_Ah	AmpereHour		Ampere hours [A.h]

Outputs

Type	Name	Description
ElectricCharge	Coulomb	Coulomb [C]

Modelica definition

function from_Ah "Convert from Ampere hours to Coulomb"
  extends ConversionIcon;
  input Modelica.SIunits.Conversions.NonSIunits.ElectricCharge_Ah
        AmpereHour "Ampere hours";
  output Modelica.SIunits.ElectricCharge Coulomb "Coulomb";
algorithm 
  Coulomb := AmpereHour * 3600;

end from_Ah;

Modelica.SIunits.Conversions.to_Ah

Information

Inputs

Type	Name	Default	Description
ElectricCharge	Coulomb		Coulomb [C]

Outputs

Type	Name	Description
ElectricCharge_Ah	AmpereHour	Ampere hours [A.h]

Modelica definition

function to_Ah "Convert from Coulomb to Ampere hours"
  extends Modelica.SIunits.Conversions.ConversionIcon;
  input Modelica.SIunits.ElectricCharge Coulomb "Coulomb";
  output Modelica.SIunits.Conversions.NonSIunits.ElectricCharge_Ah
                                      AmpereHour "Ampere hours";
algorithm 
  AmpereHour := Coulomb/3600;

end to_Ah;

Modelica.SIunits.Conversions.from_Wh

Information

Inputs

Type	Name	Default	Description
Energy_Wh	WattHour		Watt hour [W.h]

Outputs

Type	Name	Description
Energy	Joule	Joule [J]

Modelica definition

function from_Wh "Convert from Watt hour to Joule"
  extends Modelica.SIunits.Conversions.ConversionIcon;
  input NonSIunits.Energy_Wh WattHour "Watt hour";
  output Modelica.SIunits.Energy Joule "Joule";
algorithm 
  Joule := WattHour * 3600;

end from_Wh;

Modelica.SIunits.Conversions.to_Wh

Information

Inputs

Type	Name	Default	Description
Energy	Joule		Joule [J]

Outputs

Type	Name	Description
Energy_Wh	WattHour	Watt hour [W.h]

Modelica definition

function to_Wh "Convert from Joule to Watt hour"
  extends Modelica.SIunits.Conversions.ConversionIcon;
  input Modelica.SIunits.Energy Joule "Joule";
  output NonSIunits.Energy_Wh WattHour "Watt hour";
algorithm 
  WattHour := Joule/3600;

end to_Wh;

Modelica.SIunits.Conversions.to_kWh

Information

Inputs

Type	Name	Default	Description
Energy	J		Joule value [J]

Outputs

Type	Name	Description
Energy_kWh	kWh	kWh value [kW.h]

Modelica definition

function to_kWh "Convert from Joule to kilo Watt hour"
  extends ConversionIcon;
  input Energy J "Joule value";
  output NonSIunits.Energy_kWh kWh "kWh value";
algorithm 
  kWh := J/3.6e6;
end to_kWh;

Modelica.SIunits.Conversions.from_kWh

Information

Inputs

Type	Name	Default	Description
Energy_kWh	kWh		kWh value [kW.h]

Outputs

Type	Name	Description
Energy	J	Joule value [J]

Modelica definition

function from_kWh "Convert from kilo Watt hour to Joule"
  extends ConversionIcon;
  input NonSIunits.Energy_kWh kWh "kWh value";
  output Energy J "Joule value";
algorithm 
  J := 3.6e6*kWh;
end from_kWh;

Modelica.SIunits.Conversions.to_bar

Information

Inputs

Type	Name	Default	Description
Pressure	Pa		Pascal value [Pa]

Outputs

Type	Name	Description
Pressure_bar	bar	bar value [bar]

Modelica definition

function to_bar "Convert from Pascal to bar"
  extends ConversionIcon;
  input Pressure Pa "Pascal value";
  output NonSIunits.Pressure_bar bar "bar value";
algorithm 
  bar := Pa/1e5;
end to_bar;

Modelica.SIunits.Conversions.from_bar

Information

Inputs

Type	Name	Default	Description
Pressure_bar	bar		bar value [bar]

Outputs

Type	Name	Description
Pressure	Pa	Pascal value [Pa]

Modelica definition

function from_bar "Convert from bar to Pascal"
  extends ConversionIcon;
  input NonSIunits.Pressure_bar bar "bar value";
  output Pressure Pa "Pascal value";
algorithm 
  Pa := 1e5*bar;
end from_bar;

Modelica.SIunits.Conversions.to_gps

Information

Inputs

Type	Name	Default	Description
MassFlowRate	kgps		kg/s value [kg/s]

Outputs

Type	Name	Description
MassFlowRate_gps	gps	g/s value [g/s]

Modelica definition

function to_gps "Convert from kilogram per second to gram per second"
  extends ConversionIcon;
  input MassFlowRate kgps "kg/s value";
  output NonSIunits.MassFlowRate_gps gps "g/s value";
algorithm 
  gps := 1000*kgps;
end to_gps;

Modelica.SIunits.Conversions.from_gps

Information

Inputs

Type	Name	Default	Description
MassFlowRate_gps	gps		g/s value [g/s]

Outputs

Type	Name	Description
MassFlowRate	kgps	kg/s value [kg/s]

Modelica definition

function from_gps 
  "Convert from gram per second to kilogram per second"
  extends ConversionIcon;
  input NonSIunits.MassFlowRate_gps gps "g/s value";
  output MassFlowRate kgps "kg/s value";
algorithm 
  kgps := gps/1000;
end from_gps;

Modelica.SIunits.Conversions.ConversionIcon

Modelica definition

partial function ConversionIcon "Base icon for conversion functions"

end ConversionIcon;

Modelica.SIunits.Conversions.from_Hz

Information

Inputs

Type	Name	Default	Description
Frequency	f		frequency [Hz]

Outputs

Type	Name	Description
AngularVelocity	w	angular velocity [rad/s]

Modelica definition

function from_Hz "Convert from Hz to rad/s"
  extends SIunits.Conversions.ConversionIcon;
  input SIunits.Frequency f "frequency";
  output SIunits.AngularVelocity w "angular velocity";

algorithm 
  w := 2*Modelica.Constants.pi*f;
end from_Hz;

Modelica.SIunits.Conversions.to_Hz

Information

Inputs

Type	Name	Default	Description
AngularVelocity	w		angular velocity [rad/s]

Outputs

Type	Name	Description
Frequency	f	frequency [Hz]

Modelica definition

function to_Hz "Convert from rad/s to Hz"
  extends SIunits.Conversions.ConversionIcon;
  input SIunits.AngularVelocity w "angular velocity";
  output SIunits.Frequency f "frequency";
algorithm 
  f := w/(2*Modelica.Constants.pi);
end to_Hz;

Modelica.SIunits.Conversions.to_cm2

Information

Inputs

Type	Name	Default	Description
Area	m2		square metre value [m2]

Outputs

Type	Name	Description
Area_cm	cm2	square centimetre value [cm2]

Modelica definition

function to_cm2 "Convert from square metre to square centrimetre"
  extends ConversionIcon;
  input Area m2 "square metre value";
  output NonSIunits.Area_cm cm2 "square centimetre value";
algorithm 
  cm2 := 0.0001*m2;
end to_cm2;

Modelica.SIunits.Conversions.from_cm2

Information

Inputs

Type	Name	Default	Description
Area_cm	cm2		square centimetre value [cm2]

Outputs

Type	Name	Description
Area	m2	square metre value [m2]

Modelica definition

function from_cm2 "Convert from square centrimetre to square metre"
  extends ConversionIcon;
  input NonSIunits.Area_cm cm2 "square centimetre value";
  output Area m2 "square metre value";
algorithm 
  m2 :=10000*cm2;
end from_cm2;