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AvailableUnits.md

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Table of all supported units

SysMD's parser maps units and measures directly to its solver. It does not use SysML v2's units and measures packages. Nevertheless, units and domains are implemented in a way that is mostly following the same syntax as in SysML v2's related packages.

All the Domains are types in the ISQ Package following the SysML v2 standard.

For Quantities without a domain, the following types from the Quantities package can be used:

  • ScalarQuantityValue
  • VectorQuantityValue
  • '3DVectorQuantityValue'

Basic units

Domain Unit Symbol
AmountOfMoneyValue Euro EUR
US Dollar USD
Pound GBP
AreaValue Square Meter m^2
Acre ac
BitRateValue Bits per Second bps or b/s
MassDensityValue Kilogram per Cubic Meter kg/m^3
DimensionOneValue Percent %
Decibel dB
Degree ° or deg
Radian rad
Pi Pi or pi or π
LengthValue Meter m
Inch inch
Feet ft
Yard yd
Mile mi
Nautical mile nmi
MassValue Kilogram kg
Tonne (metric ton) t
Short Ton tn
Grain gr
Carat ct
Ounce oz
Pound lb
MassFlowValue Kilogram per Second kg/s
SolidAngularMeasureValue Steradian sr
StorageCapacityValue Bit bit or Bit
Byte B or Byte
DurationValue Second s
Minute min
Hour h
Day d
Year (= 365 days) a or yr or y
VolumeValue Cubic Meter m^3
Litre l
Pint pt
Quart qt
Gallon gal
Barrel bbl

Atomic units

Domain Unit Symbol
AbsorbedDoseValue Gray Gy
AmountOfSubstanceValue Mole mol
DoseEquivalentValue Sievert Sv
NuclearActivityValue Becquerel Bq

Mechanic units

Domain Unit Symbol
AccelerationValue Meter per Second squared m/s^2
EnergyValue Joule J
Calorie cal
Watt-second Ws
Watt-hour Wh
EnergyDensityValue Joule per cubic Meter J/m^3
ForceValue Newton N
FrequencyValue Hertz Hz
KinematicViscosityValue Stokes St
MomentOfForceValue Newton Meter Nm
MomentOfInertiaValue Kilogram Meter squared kg*m^2
MomentumValue Kilogram Meter per Second kg*m/s
PowerValue Watt W
Horsepower HP
PressureValue Pascal Pa
Bar bar
pounds per square inch psi
SpeedValue Meter per Second m/s
Knot kt
Miles per hour mph

Electricity and magnetism units

Domain Unit Symbol
CapacitanceValue Farad F
ConductanceValue Siemens S
ElectricChargeValue Coulomb C
Ampere hours Ah
Ampere second As
ElectricCurrentValue Ampere A
ElectricFieldStrengthValue Newton per Coulomb N/C
ElectricPotentialValue Volt V
ElectricPotentialDifferenceValue Volt V
InductanceValue Henry H
MagneticFluxValue Weber Wb
MagneticFluxDensityValue Tesla T
ResistanceValue Ohm Ohm or Ω
PermittivityValue Farad per Second F/s

Photometry units

Domain Unit Symbol
IlluminanceValue Lux lx
LuminanceValue Stilb sb
LuminousEnergyValue Lumen Second lm*s
LuminousFluxValue Lumen lm
LuminousIntensityValue Candela cd
LuminousEfficacyValue Lumen per Watt lm/W

Thermodynamics

Domain Unit Symbol
ThermodynamicTemperatureValue Kelvin K
Degree Celsius °C
Degree Fahrenheit °F
EntropyValue Joule per kelvin J/K

Further units can be derived by multiplication, division and exponentiation of the above units and by adding a prefix directly to the above units.

3D Vectors

Domain Unit Symbol
CartesianAcceleration3dVector Meter per Second squared m/s^2
CartesianElectricFieldStrength3dVector Newton per Coulomb N/C
CartesianForce3dVector Newton N
CartesianMagneticFluxDensity3dVector Tesla T
CartesianMomentum3dVector Kilogram Meter per Second kg*m/s
CartesianMomentOfForce3dVector Newton Meter Nm
CartesianPosition3dVector Meter m
CartesianVelocity3dVector Meter per Second m/s