Buildings.Electrical.PhaseSystems.ThreePhase

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Buildings.Electrical.PhaseSystems.ThreePhase_dq0

AC system in dqo representation

Information

This package declares the functions that are used to implement the AC three-phase balanced models using the DQ0 representation.

Extends from PartialPhaseSystem (Base package of all phase systems).

Package Content

Name	Description
j	Rotation(pi/2) of vector around {0,0,1} and projection on North plane
rotate	Rotate a vector of an angle theta (anti-counterclock)
jj	Vectorized version of j
thetaRel	Return absolute angle of rotating system as offset to thetaRef
thetaRef	Return absolute angle of rotating reference system
phase	Return phase
phaseVoltages	Return phase to neutral voltages
phaseCurrents	Return phase currents
phasePowers	Return phase powers
phasePowers_vi	Return phase powers
systemVoltage	Return system voltage as function of phase voltages
systemCurrent	Return system current as function of phase currents
activePower	Return total power as function of phase powers
Inherited
phaseSystemName="UnspecifiedPhaseSystem"	Name of the phase system represented by the package
n	Number of independent voltage and current components
m	Number of reference angles
Current	Current for connector
Voltage	Voltage for connector
ReferenceAngle	Reference angle for connector
product	Multiply two vectors
divide	Divide two vectors

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.j

Rotation(pi/2) of vector around {0,0,1} and projection on North plane

Information

Extends from (Return vector rotated by 90 degrees).

Inputs

Type	Name	Default	Description
Real	x[n]

Outputs

Type	Name	Description
Real	y[n]

Modelica definition

redeclare function extends j "Rotation(pi/2) of vector around {0,0,1} and projection on North plane" algorithm y := cat(1, {-x[2], x[1]}, zeros(size(x,1)-2)); end j;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.rotate

Rotate a vector of an angle theta (anti-counterclock)

Information

Extends from (Rotate a vector of an angle theta (anti-counterclock)).

Inputs

Type	Name	Default	Description
Real	x[n]
Angle	theta		[rad]

Outputs

Type	Name	Description
Real	y[n]

Modelica definition

redeclare function extends rotate "Rotate a vector of an angle theta (anti-counterclock)" algorithm y[1] := cos(theta)*x[1] - sin(theta)*x[2]; y[2] := sin(theta)*x[1] + cos(theta)*x[2]; y[3] := x[3]; end rotate;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.jj

Vectorized version of j

Information

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

Inputs

Type	Name	Default	Description
Real	xx[:, :]		array of voltage or current vectors

Outputs

Type	Name	Description
Real	yy[size(xx, 1), size(xx, 2)]	array of rotated vectors

Modelica definition

redeclare function jj "Vectorized version of j" extends Modelica.Icons.Function; input Real[:,:] xx "array of voltage or current vectors"; output Real[size(xx,1),size(xx,2)] yy "array of rotated vectors"; algorithm yy := cat(1, {-xx[2,:], xx[1,:]}, zeros(size(xx,1)-2, size(xx,2))); end jj;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.thetaRel

Return absolute angle of rotating system as offset to thetaRef

Information

Extends from (Return absolute angle of rotating system as offset to thetaRef).

Inputs

Type	Name	Default	Description
Angle	theta[m]		[rad]

Outputs

Type	Name	Description
Angle	thetaRel	[rad]

Modelica definition

redeclare function extends thetaRel "Return absolute angle of rotating system as offset to thetaRef" algorithm thetaRel := theta[1]; end thetaRel;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.thetaRef

Return absolute angle of rotating reference system

Information

Extends from (Return absolute angle of rotating reference system).

Inputs

Type	Name	Default	Description
Angle	theta[m]		[rad]

Outputs

Type	Name	Description
Angle	thetaRef	[rad]

Modelica definition

redeclare function extends thetaRef "Return absolute angle of rotating reference system" algorithm thetaRef := theta[2]; end thetaRef;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.phase

Return phase

Information

Extends from (Return phase).

Inputs

Type	Name	Default	Description
Real	x[n]

Outputs

Type	Name	Description
Angle	phase	[rad]

Modelica definition

redeclare function extends phase "Return phase" algorithm phase := atan2(x[2], x[1]); end phase;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.phaseVoltages

Return phase to neutral voltages

Information

Extends from (Return phase to neutral voltages).

Inputs

Type	Name	Default	Description
Voltage	V		system voltage [V]
Angle	phi	0	phase angle [rad]

Outputs

Type	Name	Description
Voltage	v[n]	phase to neutral voltages [V]

Modelica definition

redeclare function extends phaseVoltages "Return phase to neutral voltages" protected Voltage neutral_v = 0; algorithm v := {V*cos(phi), V*sin(phi), sqrt(3)*neutral_v}/sqrt(3); end phaseVoltages;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.phaseCurrents

Return phase currents

Information

Extends from (Return phase currents).

Inputs

Type	Name	Default	Description
Current	I		system current [A]
Angle	phi	0	phase angle [rad]

Outputs

Type	Name	Description
Current	i[n]	phase currents [A]

Modelica definition

redeclare function extends phaseCurrents "Return phase currents" algorithm i := {I*cos(phi), I*sin(phi), 0}; end phaseCurrents;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.phasePowers

Return phase powers

Information

Extends from (Return phase powers).

Inputs

Type	Name	Default	Description
ActivePower	P		active system power [W]
Angle	phi	0	phase angle [rad]

Outputs

Type	Name	Description
Power	p[n]	phase powers [W]

Modelica definition

redeclare function extends phasePowers "Return phase powers" algorithm p := {P, P*tan(phi), 0}; end phasePowers;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.phasePowers_vi

Return phase powers

Information

Extends from (Return phase powers).

Inputs

Type	Name	Default	Description
Voltage	v[n]		phase voltages [V]
Current	i[n]		phase currents [A]

Outputs

Type	Name	Description
Power	p[n]	phase powers [W]

Modelica definition

redeclare function extends phasePowers_vi "Return phase powers" algorithm p := {v[1:2]*i[1:2], -j(v[1:2])*i[1:2], v[3]*i[3]}; end phasePowers_vi;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.systemVoltage

Return system voltage as function of phase voltages

Information

Extends from (Return system voltage as function of phase voltages).

Inputs

Type	Name	Default	Description
Voltage	v[n]		[V]

Outputs

Type	Name	Description
Voltage	V	[V]

Modelica definition

redeclare function extends systemVoltage "Return system voltage as function of phase voltages" algorithm V := Modelica.Fluid.Utilities.regRoot(v*v, delta= 1e-5); end systemVoltage;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.systemCurrent

Return system current as function of phase currents

Information

Extends from (Return system current as function of phase currents).

Inputs

Type	Name	Default	Description
Current	i[n]		[A]

Outputs

Type	Name	Description
Current	I	[A]

Modelica definition

redeclare function extends systemCurrent "Return system current as function of phase currents" algorithm I := Modelica.Fluid.Utilities.regRoot(i*i, delta= 1e-5); end systemCurrent;

Buildings.Electrical.PhaseSystems.ThreePhase_dq0.activePower

Return total power as function of phase powers

Information

Extends from (Return total power as function of phase powers).

Inputs

Type	Name	Default	Description
Voltage	v[n]		phase voltages [V]
Current	i[n]		phase currents [A]

Outputs

Type	Name	Description
ActivePower	P	active system power [W]

Modelica definition

redeclare function extends activePower "Return total power as function of phase powers" algorithm P := v[1]*i[1]; end activePower;

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