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="ThreePhase_dqo" | Name of the phase system represented by the package |
| n=3 | Number of independent voltage and current components |
| m=2 | 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
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;