Modelica.Electrical.QuasiStatic.Polyphase.Sensors

AC polyphase sensors

Information

This package hosts sensors for quasi-static polyphase circuits. Quasi-static theory can be found in the references.

See also

SinglePhase.Sensors

Extends from Modelica.Icons.SensorsPackage (Icon for packages containing sensors).

Package Content

Name Description
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.ReferenceSensor ReferenceSensor Sensor of reference angle gamma
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.FrequencySensor FrequencySensor Frequency sensor
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.PotentialSensor PotentialSensor Potential sensor
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.VoltageSensor VoltageSensor Voltage sensor
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.VoltageQuasiRMSSensor VoltageQuasiRMSSensor Continuous quasi voltage RMS sensor for polyphase system
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.CurrentSensor CurrentSensor Current Sensor
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.CurrentQuasiRMSSensor CurrentQuasiRMSSensor Continuous quasi current RMS sensor for polyphase system
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.PowerSensor PowerSensor Power sensor
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.MultiSensor MultiSensor Polyphase sensor to measure current, voltage and power
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.AronSensor AronSensor Three-phase Aron sensor for active power
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.ReactivePowerSensor ReactivePowerSensor Three-phase sensor for reactive power

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.ReferenceSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.ReferenceSensor

Sensor of reference angle gamma

Information

This sensor can be used to measure the reference angle.

See also

SinglePhase.Sensors.ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor

Extends from QuasiStatic.Polyphase.Interfaces.AbsoluteSensor (Partial potential sensor).

Parameters

NameDescription
mNumber of phases

Connectors

NameDescription
plug_pPositive quasi-static polyphase plug
gammaReference angle

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.FrequencySensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.FrequencySensor

Frequency sensor

Information

This sensor can be used to measure the frequency of the reference system, using one single-phase FrequencySensor.

See also

SinglePhase.Sensors.FrequencySensor, ReferenceSensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor

Extends from Interfaces.AbsoluteSensor (Partial potential sensor).

Parameters

NameDescription
mNumber of phases

Connectors

NameDescription
plug_pPositive quasi-static polyphase plug
f[Hz]

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.PotentialSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.PotentialSensor

Potential sensor

Information

This sensor can be used to measure m complex potentials, using m single-phase PotentialSensors.

See also

SinglePhase.Sensors.PotentialSensor, ReferenceSensor, FrequencySensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor

Extends from Interfaces.AbsoluteSensor (Partial potential sensor).

Parameters

NameDescription
mNumber of phases

Connectors

NameDescription
plug_pPositive quasi-static polyphase plug
v[m]Potential as complex output signal

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.VoltageSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.VoltageSensor

Voltage sensor

Information

This sensor can be used to measure m complex voltages, using m single-phase VoltageSensors.

See also

SinglePhase.Sensors.VoltageSensor, ReferenceSensor, FrequencySensor, PotentialSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor

Extends from Modelica.Electrical.QuasiStatic.Polyphase.Interfaces.RelativeSensorElementary (Elementary partial voltage / current sensor).

Parameters

NameDescription
mNumber of phases

Connectors

NameDescription
plug_pPositive quasi-static polyphase plug
plug_nNegative quasi-static polyphase plug
v[m]Voltage as complex output signal

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.VoltageQuasiRMSSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.VoltageQuasiRMSSensor

Continuous quasi voltage RMS sensor for polyphase system

Information

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

See also

ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor

Extends from Modelica.Electrical.QuasiStatic.Polyphase.Interfaces.RelativeSensorElementary (Elementary partial voltage / current sensor).

Parameters

NameDescription
mNumber of phases

Connectors

NameDescription
plug_pPositive quasi-static polyphase plug
plug_nNegative quasi-static polyphase plug
VContinuous quasi average RMS of current

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.CurrentSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.CurrentSensor

Current Sensor

Information

This sensor can be used to measure m complex currents, using m single-phase CurrentSensors.

See also

SinglePhase.Sensors.CurrentSensor, ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentQuasiRMSSensor, PowerSensor, MultiSensor

Extends from Modelica.Electrical.QuasiStatic.Polyphase.Interfaces.RelativeSensorElementary (Elementary partial voltage / current sensor).

Parameters

NameDescription
mNumber of phases

Connectors

NameDescription
plug_pPositive quasi-static polyphase plug
plug_nNegative quasi-static polyphase plug
i[m]Current as complex output signal

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.CurrentQuasiRMSSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.CurrentQuasiRMSSensor

Continuous quasi current RMS sensor for polyphase system

Information

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

See also

ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, PowerSensor, MultiSensor

Extends from Modelica.Electrical.QuasiStatic.Polyphase.Interfaces.RelativeSensorElementary (Elementary partial voltage / current sensor).

Parameters

NameDescription
mNumber of phases

Connectors

NameDescription
plug_pPositive quasi-static polyphase plug
plug_nNegative quasi-static polyphase plug
IContinuous quasi average RMS of current [A]

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.PowerSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.PowerSensor

Power sensor

Information

This sensor can be used to measure m complex apparent power values, using m single-phase PowerSensors.

See also

SinglePhase.Sensors.PowerSensor, ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, MultiSensor

Extends from Modelica.Icons.RoundSensor (Icon representing a round measurement device).

Parameters

NameDescription
mNumber of phases

Connectors

NameDescription
currentP 
currentN 
voltageP 
voltageN 
apparentPowerTotal apparent power as complex output signal

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.MultiSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.MultiSensor

Polyphase sensor to measure current, voltage and power

Information

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.

See also

SinglePhase.Sensors.MultiSensor ReferenceSensor, FrequencySensor, PotentialSensor, VoltageSensor, VoltageQuasiRMSSensor, CurrentSensor, CurrentQuasiRMSSensor, PowerSensor

Extends from Modelica.Icons.RoundSensor (Icon representing a round measurement device).

Parameters

NameDescription
mNumber of phases

Connectors

NameDescription
pcPositive plug, current path
ncNegative plug, current path
pvPositive plug, voltage path
nvNegative 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
apparentPowerTotalSum of instantaneous apparent power as complex output signal

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.AronSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.AronSensor

Three-phase Aron sensor for active power

Information

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).

Connectors

NameDescription
plug_p 
plug_n 
activePowerActive power [W]

Modelica.Electrical.QuasiStatic.Polyphase.Sensors.ReactivePowerSensor Modelica.Electrical.QuasiStatic.Polyphase.Sensors.ReactivePowerSensor

Three-phase sensor for reactive power

Information

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).

Connectors

NameDescription
plug_p 
plug_n 
reactivePowerReactive power
Automatically generated Thu Oct 1 16:07:47 2020.