AC polyphase sensors
This package hosts sensors for quasi-static polyphase circuits. Quasi-static theory can be found in the references.
Extends from Modelica.Icons.SensorsPackage (Icon for packages containing sensors).
Name | Description |
---|---|
ReferenceSensor | Sensor of reference angle gamma |
FrequencySensor | Frequency sensor |
PotentialSensor | Potential sensor |
VoltageSensor | Voltage sensor |
VoltageQuasiRMSSensor | Continuous quasi voltage RMS sensor for polyphase system |
CurrentSensor | Current Sensor |
CurrentQuasiRMSSensor | Continuous quasi current RMS sensor for polyphase system |
PowerSensor | Power sensor |
MultiSensor | Polyphase sensor to measure current, voltage and power |
AronSensor | Three-phase Aron sensor for active power |
ReactivePowerSensor | Three-phase sensor for reactive power |
Sensor of reference angle gamma
This sensor can be used to measure the reference angle.
SinglePhase.Sensors.ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor
Extends from QuasiStatic.Polyphase.Interfaces.AbsoluteSensor (Partial potential sensor).
Name | Description |
---|---|
m | Number of phases |
Name | Description |
---|---|
plug_p | Positive quasi-static polyphase plug |
gamma | Reference angle |
Frequency sensor
This sensor can be used to measure the frequency of the reference system, using one single-phase FrequencySensor.
SinglePhase.Sensors.FrequencySensor, ReferenceSensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor
Extends from Interfaces.AbsoluteSensor (Partial potential sensor).
Name | Description |
---|---|
m | Number of phases |
Name | Description |
---|---|
plug_p | Positive quasi-static polyphase plug |
f | [Hz] |
Potential sensor
This sensor can be used to measure m complex potentials, using m single-phase PotentialSensors.
SinglePhase.Sensors.PotentialSensor, ReferenceSensor, FrequencySensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor
Extends from Interfaces.AbsoluteSensor (Partial potential sensor).
Name | Description |
---|---|
m | Number of phases |
Name | Description |
---|---|
plug_p | Positive quasi-static polyphase plug |
v[m] | Potential as complex output signal |
Voltage sensor
This sensor can be used to measure m complex voltages, using m single-phase VoltageSensors.
SinglePhase.Sensors.VoltageSensor, ReferenceSensor, FrequencySensor, PotentialSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor
Extends from Modelica.Electrical.QuasiStatic.Polyphase.Interfaces.RelativeSensorElementary (Elementary partial voltage / current sensor).
Name | Description |
---|---|
m | Number of phases |
Name | Description |
---|---|
plug_p | Positive quasi-static polyphase plug |
plug_n | Negative quasi-static polyphase plug |
v[m] | Voltage as complex output signal |
Continuous quasi voltage RMS sensor for polyphase system
This sensor determines the continuous quasi RMS
value of a polyphase voltage system, by averaging the phase RMS voltage phasors v
.
V = sum({abs(v[k]) for k in 1:m})/m
ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor
Extends from Modelica.Electrical.QuasiStatic.Polyphase.Interfaces.RelativeSensorElementary (Elementary partial voltage / current sensor).
Name | Description |
---|---|
m | Number of phases |
Name | Description |
---|---|
plug_p | Positive quasi-static polyphase plug |
plug_n | Negative quasi-static polyphase plug |
V | Continuous quasi average RMS of current |
Current Sensor
This sensor can be used to measure m complex currents, using m single-phase CurrentSensors.
SinglePhase.Sensors.CurrentSensor, ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor
Extends from Modelica.Electrical.QuasiStatic.Polyphase.Interfaces.RelativeSensorElementary (Elementary partial voltage / current sensor).
Name | Description |
---|---|
m | Number of phases |
Name | Description |
---|---|
plug_p | Positive quasi-static polyphase plug |
plug_n | Negative quasi-static polyphase plug |
i[m] | Current as complex output signal |
Continuous quasi current RMS sensor for polyphase system
This sensor determines the continuous quasi RMS
value of a polyphase current system, by averaging the phase RMS current phasors i
.
I = sum({abs(i[k]) for k in 1:m})/m
ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, PowerSensor, MultiSensor
Extends from Modelica.Electrical.QuasiStatic.Polyphase.Interfaces.RelativeSensorElementary (Elementary partial voltage / current sensor).
Name | Description |
---|---|
m | Number of phases |
Name | Description |
---|---|
plug_p | Positive quasi-static polyphase plug |
plug_n | Negative quasi-static polyphase plug |
I | Continuous quasi average RMS of current [A] |
Power sensor
This sensor can be used to measure m complex apparent power values, using m single-phase PowerSensors.
SinglePhase.Sensors.PowerSensor, ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, MultiSensor
Extends from Modelica.Icons.RoundSensor (Icon representing a round measurement device).
Name | Description |
---|---|
m | Number of phases |
Name | Description |
---|---|
currentP | |
currentN | |
voltageP | |
voltageN | |
apparentPower | Total apparent power as complex output signal |
Polyphase sensor to measure current, voltage and power
This multi sensor measures currents, voltages and instantaneous electrical power of a polyphase system and has separated voltage and current paths. The plugs of the voltage paths are pv and nv, the plugs of the current paths are pc and nc. The internal resistance of each current path is zero, the internal resistance of each voltage path is infinite.
SinglePhase.Sensors.MultiSensor ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor
Extends from Modelica.Icons.RoundSensor (Icon representing a round measurement device).
Name | Description |
---|---|
m | Number of phases |
Name | Description |
---|---|
pc | Positive plug, current path |
nc | Negative plug, current path |
pv | Positive plug, voltage path |
nv | Negative plug, voltage path |
i[m] | Current as complex output signal |
v[m] | Voltage as complex output signal |
apparentPower[m] | Instantaneous apparent power as complex output signal |
apparentPowerTotal | Sum of instantaneous apparent power as complex output signal |
Three-phase Aron sensor for active power
Contains two power meters to measure total active power in a three-phase system.
This device works only in three-phase systems without neutral.
The rationale behind this sensor is that power exchanged between two parts of a circuit is the sum of the products of currents in the m wires connecting the two parts times wires' potentials evaluated with reference to an arbitrary potential vref:
P=(v1-vref)*i1+(v2-vref)*i2+…+(vm-vref)*im
In case of a three-phase system without neutral we may want to measure power flowing in a line, connecting, say, the left part of the circuit to its right part. The wires connecting the two parts are only three (i.e., m=3) and therefore all currents between these two parts are i1, i2, i3.
Since the voltage to be taken as reference is arbitrary, we can take the voltage of conductor 2. Therefore our power becomes:
P=(v1-v2)*i1+(v2-v2)*i2+(v3-v2)*i3 = (v1-v2)*i1+(v3-v2)* i3
In this way, we can just sum up the power from two wattmeters to get the three-phase power.
Note, that this formula does not work if there are additional current paths between the left and right parts of our circuits, e.g., if both have grounds (and current flows through it).
For more information on why power flowing in a circuit between two subcircuits is the sum of products of voltages times currents, the voltages being measured to an arbitrary reference potential, see [Ceraolo2014, par. 3.8.1].
Extends from Modelica.Icons.RoundSensor (Icon representing a round measurement device).
Name | Description |
---|---|
plug_p | |
plug_n | |
activePower | Active power [W] |
Three-phase sensor for reactive power
Contains 3 power meters (Modelica.Electrical.Analog.Sensors.PowerSensor) to measure total reactive power in a three-phase system.
For more information see [Mühl2017].
Extends from Modelica.Icons.RoundSensor (Icon representing a round measurement device).
Name | Description |
---|---|
plug_p | |
plug_n | |
reactivePower | Reactive power |