Modelica.Electrical.Machines.Utilities

Library with auxiliary models for testing

Information

This package contains utility components for testing examples.

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name Description

VfController Voltage-Frequency-Controller

CurrentController Current controller

SwitchYD Y-D-switch

TerminalBox Terminal box Y/D-connection

SwitchedRheostat Rheostat which is shortened after a given time

RampedRheostat Rheostat with linearly decreasing resistance

TransformerData Calculates Impedances from nominal values

SynchronousMachineData Computes machine parameter from usual datasheet

Name	Description
VfController	Voltage-Frequency-Controller
CurrentController	Current controller
SwitchYD	Y-D-switch
TerminalBox	Terminal box Y/D-connection
SwitchedRheostat	Rheostat which is shortened after a given time
RampedRheostat	Rheostat with linearly decreasing resistance
TransformerData	Calculates Impedances from nominal values
SynchronousMachineData	Computes machine parameter from usual datasheet

Modelica.Electrical.Machines.Utilities.VfController

Voltage-Frequency-Controller

Modelica.Electrical.Machines.Utilities.VfController

Information

Simple Voltage-Frequency-Controller.
Amplitude of voltage is linear dependent (VNominal/fNominal) on frequency (input signal "u"), but limited by VNominal (nominal RMS voltage per phase).
m sine-waves with amplitudes as described above are provided as output signal "y".
The sine-waves are intended to feed a m-phase SignalVoltage.
Phase shifts between sine-waves may be choosen by the user; default values are (k-1)/m*pi for k in 1:m.

Extends from Modelica.Blocks.Interfaces.SIMO (Single Input Multiple Output continuous control block).

Parameters

Type Name Default Description

Integer nout m Number of outputs

Integer m 3 Number of phases

Voltage VNominal Nominal RMS voltage per phase [V]

Frequency fNominal Nominal frequency [Hz]

Angle BasePhase 0 Common phase shift [rad]

Type	Name	Default	Description
Integer	nout	m	Number of outputs
Integer	m	3	Number of phases
Voltage	VNominal		Nominal RMS voltage per phase [V]
Frequency	fNominal		Nominal frequency [Hz]
Angle	BasePhase	0	Common phase shift [rad]

Connectors

Type Name Description

input RealInput u Connector of Real input signal

output RealOutput y[nout] Connector of Real output signals

Type	Name	Description
input RealInput	u	Connector of Real input signal
output RealOutput	y[nout]	Connector of Real output signals

Modelica definition

block VfController "Voltage-Frequency-Controller"
  extends Modelica.Blocks.Interfaces.SIMO(final nout=m);
  constant Modelica.SIunits.Angle pi=Modelica.Constants.pi;
  parameter Integer m=3 "Number of phases";
  parameter Modelica.SIunits.Voltage VNominal "Nominal RMS voltage per phase";
  parameter Modelica.SIunits.Frequency fNominal "Nominal frequency";
  parameter Modelica.SIunits.Angle BasePhase=0 "Common phase shift";
  output Modelica.SIunits.Angle x(start=0, fixed=true) "Integrator state";
  output Modelica.SIunits.Voltage amplitude;
equation 
//amplitude = sqrt(2)*VNominal*min(abs(u)/fNominal, 1);
  amplitude = sqrt(2)*VNominal*(if abs(u)<fNominal then abs(u)/fNominal else 1);
  der(x) = 2*pi*u;
  y = {amplitude*sin(x + BasePhase - (k - 1)*2/m*pi) for k in 1:m};
end VfController;

Modelica.Electrical.Machines.Utilities.CurrentController

Current controller

Modelica.Electrical.Machines.Utilities.CurrentController

Information

Simple Current-Controller.
The desired rms values of d- and q-component of the space phasor in rotor fixed coordinate system are given by inputs "id_rms" and "iq_rms". Using the given rotor position (input "phi"), the correct threephase currents (output "i[3]")are calculated. They can be used to feed a current source which in turn feeds an induction machine.

Extends from Modelica.Blocks.Interfaces.MO (Multiple Output continuous control block).

Parameters

Type Name Default Description

Integer p Number of poles pairs

Integer nout m Number of outputs

Type	Name	Default	Description
Integer	p		Number of poles pairs
Integer	nout	m	Number of outputs

Connectors

Type Name Description

output RealOutput y[nout] Connector of Real output signals

input RealInput id_rms

input RealInput iq_rms

input RealInput phi

Type	Name	Description
output RealOutput	y[nout]	Connector of Real output signals
input RealInput	id_rms
input RealInput	iq_rms
input RealInput	phi

Modelica definition

model CurrentController "Current controller"
  constant Integer m=3 "Number of phases";
  parameter Integer p "Number of poles pairs";
  extends Modelica.Blocks.Interfaces.MO(final nout=m);
  Modelica.Blocks.Interfaces.RealInput id_rms;
  Modelica.Blocks.Interfaces.RealInput iq_rms;
  Modelica.Blocks.Interfaces.RealInput phi;
  Modelica.Blocks.Math.Gain toPeak_d(k=sqrt(2));
  Modelica.Blocks.Math.Gain toPeak_q(k=sqrt(2));
  Modelica.Blocks.Math.Gain toGamma(k=-p);
  Modelica.Electrical.Machines.SpacePhasors.Blocks.Rotator rotator;
  Modelica.Blocks.Sources.Constant i0(k=0);
  Modelica.Electrical.Machines.SpacePhasors.Blocks.FromSpacePhasor fromSpacePhasor;
equation 
  connect(iq_rms, toPeak_q.u);
  connect(phi, toGamma.u);
  connect(rotator.angle, toGamma.y);
  connect(rotator.y, fromSpacePhasor.u);
  connect(toPeak_d.u, id_rms);
  connect(toPeak_d.y, rotator.u[1]);
  connect(toPeak_q.y, rotator.u[2]);
  connect(i0.y, fromSpacePhasor.zero);
  connect(fromSpacePhasor.y, y);
end CurrentController;

Modelica.Electrical.Machines.Utilities.SwitchYD

Y-D-switch

Modelica.Electrical.Machines.Utilities.SwitchYD

Information

Simple Star-Delta-switch.
If control is false, plug_sp and plug_sn are star connected and plug_sp connected to the supply plug.
If control is true, plug_sp and plug_sn are delta connected and they are connected to the supply plug.

Parameters

Type Name Default Description

Integer m 3 Number of phases

Type	Name	Default	Description
Integer	m	3	Number of phases

Connectors

Type Name Description

PositivePlug plugSupply To grid

PositivePlug plug_sp To positive stator plug

NegativePlug plug_sn To negative stator plug

input BooleanInput control[m]

Type	Name	Description
PositivePlug	plugSupply	To grid
PositivePlug	plug_sp	To positive stator plug
NegativePlug	plug_sn	To negative stator plug
input BooleanInput	control[m]

Modelica definition

model SwitchYD "Y-D-switch"
  parameter Integer m=3 "Number of phases";
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plugSupply(final m=m) 
    "To grid";
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plug_sp(final m=m) 
    "To positive stator plug";
  Modelica.Electrical.MultiPhase.Interfaces.NegativePlug plug_sn(final m=m) 
    "To negative stator plug";
  Modelica.Electrical.MultiPhase.Basic.Star star(final m=m);
  Modelica.Electrical.MultiPhase.Basic.Delta delta(final m=m);
  Modelica.Electrical.MultiPhase.Ideal.IdealCommutingSwitch
    idealCommutingSwitch(                                                        final m=m);
  Modelica.Blocks.Interfaces.BooleanInput control[m];
equation 
  connect(delta.plug_p, plugSupply);
  connect(delta.plug_p, plug_sp);
  connect(idealCommutingSwitch.plug_n2, delta.plug_n);
  connect(idealCommutingSwitch.plug_n1, star.plug_p);
  connect(idealCommutingSwitch.plug_p,plug_sn);
  connect(control, idealCommutingSwitch.control);
end SwitchYD;

Modelica.Electrical.Machines.Utilities.TerminalBox

Terminal box Y/D-connection

Modelica.Electrical.Machines.Utilities.TerminalBox

Information

TerminalBox: at the bottom connected to both machine plugs, connect at the top to the grid as usual,
choosing Y-connection (StarDelta=Y) or D-connection (StarDelta=D).

Parameters

Type Name Default Description

Integer m 3 Number of phases

String terminalConnection Choose Y=star/D=delta

Type	Name	Default	Description
Integer	m	3	Number of phases
String	terminalConnection		Choose Y=star/D=delta

Connectors

Type Name Description

PositivePlug plug_sp To positive stator plug

NegativePlug plug_sn To negative stator plug

PositivePlug plugSupply To grid

NegativePin starpoint

Type	Name	Description
PositivePlug	plug_sp	To positive stator plug
NegativePlug	plug_sn	To negative stator plug
PositivePlug	plugSupply	To grid
NegativePin	starpoint

Modelica definition

model TerminalBox "Terminal box Y/D-connection"
  parameter Integer m=3 "Number of phases";
  parameter String terminalConnection(start="Y") "Choose Y=star/D=delta";
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plug_sp(final m=m) 
    "To positive stator plug";
  Modelica.Electrical.MultiPhase.Interfaces.NegativePlug plug_sn(final m=m) 
    "To negative stator plug";
  Modelica.Electrical.MultiPhase.Basic.Star star(final m=m) if (terminalConnection<>"D");
  Modelica.Electrical.MultiPhase.Basic.Delta delta(final m=m) if (terminalConnection=="D");
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plugSupply(final m=m) 
    "To grid";
  Modelica.Electrical.Analog.Interfaces.NegativePin starpoint if (terminalConnection<>"D");
equation 
  connect(plug_sn, star.plug_p);
  connect(plug_sn, delta.plug_n);
  connect(delta.plug_p,plug_sp);
  connect(plug_sp, plugSupply);
  connect(star.pin_n, starpoint);
end TerminalBox;

Modelica.Electrical.Machines.Utilities.SwitchedRheostat

Rheostat which is shortened after a given time

Modelica.Electrical.Machines.Utilities.SwitchedRheostat

Information

Switched rheostat, used for starting asynchronous induction motors with slipring rotor:

The external rotor resistance RStart is shortened at time tStart.

Parameters

Type Name Default Description

Integer m 3 Number of phases

Resistance RStart Starting resistance [Ohm]

Time tStart Duration of switching on the starting resistor [s]

Type	Name	Default	Description
Integer	m	3	Number of phases
Resistance	RStart		Starting resistance [Ohm]
Time	tStart		Duration of switching on the starting resistor [s]

Connectors

Type Name Description

PositivePlug plug_p To positive rotor plug

NegativePlug plug_n To negative rotor plug

Type	Name	Description
PositivePlug	plug_p	To positive rotor plug
NegativePlug	plug_n	To negative rotor plug

Modelica definition

model SwitchedRheostat 
  "Rheostat which is shortened after a given time"
  parameter Integer m= 3 "Number of phases";
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plug_p(final m=m) 
    "To positive rotor plug";
  Modelica.Electrical.MultiPhase.Interfaces.NegativePlug plug_n(final m=m) 
    "To negative rotor plug";
  parameter Modelica.SIunits.Resistance RStart "Starting resistance";
  parameter Modelica.SIunits.Time tStart 
    "Duration of switching on the starting resistor";
  Modelica.Electrical.MultiPhase.Basic.Star star(final m=m);
  Modelica.Electrical.Analog.Basic.Ground ground;
  Modelica.Electrical.MultiPhase.Ideal.IdealCommutingSwitch
    idealCommutingSwitch(final m=m);
  Modelica.Electrical.MultiPhase.Basic.Resistor rheostat(
    final m=m,
    final R=fill(RStart, m));
  Modelica.Electrical.MultiPhase.Basic.Star starRheostat(final m=m);
  Modelica.Blocks.Sources.BooleanStep booleanStep[m](
    final startTime=fill(tStart, m),
    final startValue=fill(false, m));
equation 

  connect(plug_p, idealCommutingSwitch.plug_p);
  connect(idealCommutingSwitch.plug_n2, plug_n);
  connect(rheostat.plug_p, idealCommutingSwitch.plug_n1);
  connect(idealCommutingSwitch.plug_n2, star.plug_p);
  connect(rheostat.plug_n, starRheostat.plug_p);
  connect(starRheostat.pin_n, star.pin_n);
  connect(star.pin_n, ground.p);
  connect(booleanStep.y, idealCommutingSwitch.control);
end SwitchedRheostat;

Modelica.Electrical.Machines.Utilities.RampedRheostat

Rheostat with linearly decreasing resistance

Modelica.Electrical.Machines.Utilities.RampedRheostat

Information

Ramped rheostat, used for starting asynchronous induction motors with slipring rotor:

The external rotor resistance RStart is reduced to zero, starting at time tStart with a linear ramp tRamp.

Parameters

Type Name Default Description

Integer m 3 Number of phases

Resistance RStart Starting resistance [Ohm]

Time tStart Time instance of reducing the rheostat [s]

Time tRamp Duration of ramp [s]

Type	Name	Default	Description
Integer	m	3	Number of phases
Resistance	RStart		Starting resistance [Ohm]
Time	tStart		Time instance of reducing the rheostat [s]
Time	tRamp		Duration of ramp [s]

Connectors

Type Name Description

PositivePlug plug_p To positive rotor plug

NegativePlug plug_n To negative rotor plug

Type	Name	Description
PositivePlug	plug_p	To positive rotor plug
NegativePlug	plug_n	To negative rotor plug

Modelica definition

model RampedRheostat "Rheostat with linearly decreasing resistance"
  parameter Integer m= 3 "Number of phases";
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plug_p(final m=m) 
    "To positive rotor plug";
  Modelica.Electrical.MultiPhase.Interfaces.NegativePlug plug_n(final m=m) 
    "To negative rotor plug";
  parameter Modelica.SIunits.Resistance RStart "Starting resistance";
  parameter Modelica.SIunits.Time tStart 
    "Time instance of reducing the rheostat";
  parameter Modelica.SIunits.Time tRamp "Duration of ramp";
  Modelica.Electrical.MultiPhase.Basic.Star star(final m=m);
  Modelica.Electrical.Analog.Basic.Ground ground;
  Modelica.Electrical.MultiPhase.Basic.VariableResistor rheostat(final m=m);
  Modelica.Blocks.Sources.Ramp ramp[m](
    final height=fill(-RStart, m),
    final duration=fill(tRamp, m),
    final offset=fill(RStart, m),
    final startTime=fill(tStart, m));
equation 
  connect(plug_p, rheostat.plug_p);
  connect(rheostat.plug_n, plug_n);
  connect(rheostat.R, ramp.y);
  connect(rheostat.plug_n, star.plug_p);
  connect(star.pin_n, ground.p);
end RampedRheostat;

Modelica.Electrical.Machines.Utilities.TransformerData

Calculates Impedances from nominal values

Information

The parameters of the transformer models are calculated from parameters normally given in a technical description.

Extends from Modelica.Icons.Record (Icon for records).

Parameters

Type Name Default Description

Frequency f Nominal frequency [Hz]

Voltage V1 Primary nominal line-to-line voltage (RMS) [V]

String C1 Choose primary connection

Voltage V2 Secondary open circuit line-to-line voltage (RMS) @ primary nominal voltage [V]

String C2 Choose secondary connection

ApparentPower SNominal Nominal apparent power [VA]

Real v_sc Impedance voltage drop pu

Power P_sc Short-circuit (copper) losses [W]

Result

Real n V1/V2 Ratio primary voltage (line-to-line) / secondary voltage (line-to-line)

Resistance R1 0.5*P_sc/(3*I1ph^2) Warm primary resistance per phase [Ohm]

Inductance L1sigma sqrt(Z1ph^2 - R1^2)/(2*Model... Primary stray inductance per phase [H]

Resistance R2 0.5*P_sc/(3*I2ph^2) Warm secondary resistance per phase [Ohm]

Inductance L2sigma sqrt(Z2ph^2 - R2^2)/(2*Model... Secondary stray inductance per phase [H]

Type	Name	Default	Description
Frequency	f		Nominal frequency [Hz]
Voltage	V1		Primary nominal line-to-line voltage (RMS) [V]
String	C1		Choose primary connection
Voltage	V2		Secondary open circuit line-to-line voltage (RMS) @ primary nominal voltage [V]
String	C2		Choose secondary connection
ApparentPower	SNominal		Nominal apparent power [VA]
Real	v_sc		Impedance voltage drop pu
Power	P_sc		Short-circuit (copper) losses [W]
Result
Real	n	V1/V2	Ratio primary voltage (line-to-line) / secondary voltage (line-to-line)
Resistance	R1	0.5P_sc/(3I1ph^2)	Warm primary resistance per phase [Ohm]
Inductance	L1sigma	sqrt(Z1ph^2 - R1^2)/(2*Model...	Primary stray inductance per phase [H]
Resistance	R2	0.5P_sc/(3I2ph^2)	Warm secondary resistance per phase [Ohm]
Inductance	L2sigma	sqrt(Z2ph^2 - R2^2)/(2*Model...	Secondary stray inductance per phase [H]

Modelica definition

record TransformerData "Calculates Impedances from nominal values"
  extends Modelica.Icons.Record;
  parameter Modelica.SIunits.Frequency f(start=50) "Nominal frequency";
  parameter Modelica.SIunits.Voltage V1(start=100) 
    "Primary nominal line-to-line voltage (RMS)";
  parameter String C1(start="Y") "Choose primary connection";
  parameter Modelica.SIunits.Voltage V2(start=100) 
    "Secondary open circuit line-to-line voltage (RMS) @ primary nominal voltage";
  parameter String C2(start="y") "Choose secondary connection";
  parameter Modelica.SIunits.ApparentPower SNominal(start=30E3) 
    "Nominal apparent power";
  parameter Real v_sc(final min=0, final max=1, start=0.05) 
    "Impedance voltage drop pu";
  parameter Modelica.SIunits.Power P_sc(start=300) 
    "Short-circuit (copper) losses";

  parameter Real n = V1/V2 
    "Ratio primary voltage (line-to-line) / secondary voltage (line-to-line)";
  final parameter Modelica.SIunits.Voltage V1ph = V1/(if C1=="D" then 1 else sqrt(3)) 
    "Primary phase voltage (RMS)";
  final parameter Modelica.SIunits.Current I1ph = SNominal/(3*V1ph) 
    "Primary phase current (RMS)";
  final parameter Modelica.SIunits.Voltage V2ph = V2/(if C2=="d" then 1 else sqrt(3)) 
    "Secondary phase voltage (RMS)";
  final parameter Modelica.SIunits.Current I2ph = SNominal/(3*V2ph) 
    "Secondary phase current (RMS)";
  final parameter Modelica.SIunits.Impedance Z1ph = 0.5*v_sc*V1ph/I1ph 
    "Primary impedance per phase";
  parameter Modelica.SIunits.Resistance R1= 0.5*P_sc/(3*I1ph^2) 
    "Warm primary resistance per phase";
  parameter Modelica.SIunits.Inductance L1sigma= sqrt(Z1ph^2-R1^2)/(2*Modelica.Constants.pi*f) 
    "Primary stray inductance per phase";
  final parameter Modelica.SIunits.Impedance Z2ph = 0.5*v_sc*V2ph/I2ph 
    "Secondary impedance per phase";
  parameter Modelica.SIunits.Resistance R2= 0.5*P_sc/(3*I2ph^2) 
    "Warm secondary resistance per phase";
  parameter Modelica.SIunits.Inductance L2sigma= sqrt(Z2ph^2-R2^2)/(2*Modelica.Constants.pi*f) 
    "Secondary stray inductance per phase";
end TransformerData;

Modelica.Electrical.Machines.Utilities.SynchronousMachineData

Computes machine parameter from usual datasheet

Information

The parameters of the synchronous machine model with electrical excitation (and damper) are calculated from parameters normally given in a technical description, according to the standard EN 60034-4:2008 Appendix C.

Extends from Modelica.Icons.Record (Icon for records).

Parameters

Type Name Default Description

ApparentPower SNominal Nominal apparent power [VA]

Voltage VsNominal Nominal stator voltage per phase [V]

Frequency fsNominal Nominal stator frequency [Hz]

Current IeOpenCircuit Open circuit excitation current @ nominal voltage and frequency [A]

Real x0 Stator stray inductance per phase (approximately zero impedance) [pu]

Real xd Synchronous reactance per phase, d-axis [pu]

Real xq Synchronous reactance per phase, q-axis [pu]

Real xdTransient Transient reactance per phase, d-axis [pu]

Real xdSubtransient Subtransient reactance per phase, d-axis [pu]

Real xqSubtransient Subtransient reactance per phase, q-axis [pu]

Time Ta Armature time constant [s]

Time Td0Transient Open circuit field time constant Td0' [s]

Time Td0Subtransient Open circuit subtransient time constant Td0'', d-axis [s]

Time Tq0Subtransient Open circuit subtransient time constant Tq0'', q-axis [s]

Material

Temperature TsSpecification Specification temperature of stator resistance [K]

Temperature TsRef Reference temperature of stator resistance [K]

LinearTemperatureCoefficient20 alpha20s Temperature coefficient of stator resistance at 20 degC [1/K]

Temperature TrSpecification Specification temperature of (optional) damper cage [K]

Temperature TrRef Reference temperature of damper resistances in d- and q-axis [K]

LinearTemperatureCoefficient20 alpha20r Temperature coefficient of damper resistances in d- and q-axis [1/K]

Temperature TeSpecification Specification excitation temperature [K]

Temperature TeRef Reference temperture of excitation resistance [K]

LinearTemperatureCoefficient20 alpha20e Temperature coefficient of excitation resistance [1/K]

Result

Resistance Rs Machines.Thermal.convertResi... Stator resistance per phase at TRef [Ohm]

Inductance Lssigma x0*ZReference/omega Stator stray inductance per phase [H]

Inductance Lmd xmd*ZReference/omega Main field inductance in d-axis [H]

Inductance Lmq xmq*ZReference/omega Main field inductance in q-axis [H]

Inductance Lrsigmad (xrd - xmd)*ZReference/omega Damper stray inductance in d-axis [H]

Inductance Lrsigmaq (xrq - xmq)*ZReference/omega Damper stray inductance in q-axis [H]

Resistance Rrd Machines.Thermal.convertResi... Damper resistance in d-axis at TRef [Ohm]

Resistance Rrq Machines.Thermal.convertResi... Damper resistance in q-axis at TRef [Ohm]

Resistance Re 3/2*turnsRatio^2*Machines.Th... Excitation resistance at TRef [Ohm]

Real sigmae 1 - xmd/xe Stray fraction of total excitation inductance

Type	Name	Default	Description
ApparentPower	SNominal		Nominal apparent power [VA]
Voltage	VsNominal		Nominal stator voltage per phase [V]
Frequency	fsNominal		Nominal stator frequency [Hz]
Current	IeOpenCircuit		Open circuit excitation current @ nominal voltage and frequency [A]
Real	x0		Stator stray inductance per phase (approximately zero impedance) [pu]
Real	xd		Synchronous reactance per phase, d-axis [pu]
Real	xq		Synchronous reactance per phase, q-axis [pu]
Real	xdTransient		Transient reactance per phase, d-axis [pu]
Real	xdSubtransient		Subtransient reactance per phase, d-axis [pu]
Real	xqSubtransient		Subtransient reactance per phase, q-axis [pu]
Time	Ta		Armature time constant [s]
Time	Td0Transient		Open circuit field time constant Td0' [s]
Time	Td0Subtransient		Open circuit subtransient time constant Td0'', d-axis [s]
Time	Tq0Subtransient		Open circuit subtransient time constant Tq0'', q-axis [s]
Material
Temperature	TsSpecification		Specification temperature of stator resistance [K]
Temperature	TsRef		Reference temperature of stator resistance [K]
LinearTemperatureCoefficient20	alpha20s		Temperature coefficient of stator resistance at 20 degC [1/K]
Temperature	TrSpecification		Specification temperature of (optional) damper cage [K]
Temperature	TrRef		Reference temperature of damper resistances in d- and q-axis [K]
LinearTemperatureCoefficient20	alpha20r		Temperature coefficient of damper resistances in d- and q-axis [1/K]
Temperature	TeSpecification		Specification excitation temperature [K]
Temperature	TeRef		Reference temperture of excitation resistance [K]
LinearTemperatureCoefficient20	alpha20e		Temperature coefficient of excitation resistance [1/K]
Result
Resistance	Rs	Machines.Thermal.convertResi...	Stator resistance per phase at TRef [Ohm]
Inductance	Lssigma	x0*ZReference/omega	Stator stray inductance per phase [H]
Inductance	Lmd	xmd*ZReference/omega	Main field inductance in d-axis [H]
Inductance	Lmq	xmq*ZReference/omega	Main field inductance in q-axis [H]
Inductance	Lrsigmad	(xrd - xmd)*ZReference/omega	Damper stray inductance in d-axis [H]
Inductance	Lrsigmaq	(xrq - xmq)*ZReference/omega	Damper stray inductance in q-axis [H]
Resistance	Rrd	Machines.Thermal.convertResi...	Damper resistance in d-axis at TRef [Ohm]
Resistance	Rrq	Machines.Thermal.convertResi...	Damper resistance in q-axis at TRef [Ohm]
Resistance	Re	3/2turnsRatio^2Machines.Th...	Excitation resistance at TRef [Ohm]
Real	sigmae	1 - xmd/xe	Stray fraction of total excitation inductance

Modelica definition

record SynchronousMachineData 
  "Computes machine parameter from usual datasheet"
  extends Modelica.Icons.Record;
  import Modelica.Constants.pi;
  parameter Modelica.SIunits.ApparentPower SNominal(start=30E3) 
    "Nominal apparent power";
  parameter Modelica.SIunits.Voltage VsNominal(start=100) 
    "Nominal stator voltage per phase";
  final parameter Modelica.SIunits.Current IsNominal=SNominal/(3*VsNominal) 
    "Nominal stator current per phase";
  final parameter Modelica.SIunits.Impedance ZReference=VsNominal/IsNominal 
    "Reference impedance";
  parameter Modelica.SIunits.Frequency fsNominal(start=50) 
    "Nominal stator frequency";
  final parameter Modelica.SIunits.AngularVelocity omega=2*pi*fsNominal 
    "Nominal angular frequency";
  parameter Modelica.SIunits.Current IeOpenCircuit(start=10) 
    "Open circuit excitation current @ nominal voltage and frequency";
  final parameter Real turnsRatio = sqrt(2)*VsNominal/(omega*Lmd*IeOpenCircuit) 
    "Stator current / excitation current";
  parameter Real x0(start=0.1) 
    "Stator stray inductance per phase (approximately zero impedance) [pu]";
  parameter Real xd(start=1.6) "Synchronous reactance per phase, d-axis [pu]";
  parameter Real xq(start=1.6) "Synchronous reactance per phase, q-axis [pu]";
  parameter Real xdTransient(start=0.1375) 
    "Transient reactance per phase, d-axis [pu]";
  parameter Real xdSubtransient(start=0.121428571) 
    "Subtransient reactance per phase, d-axis [pu]";
  parameter Real xqSubtransient(start=0.148387097) 
    "Subtransient reactance per phase, q-axis [pu]";
  parameter Modelica.SIunits.Time Ta(start=0.014171268) 
    "Armature time constant";
  parameter Modelica.SIunits.Time Td0Transient(start=0.261177343) 
    "Open circuit field time constant Td0'";
  parameter Modelica.SIunits.Time Td0Subtransient(start=0.006963029) 
    "Open circuit subtransient time constant Td0'', d-axis";
  parameter Modelica.SIunits.Time Tq0Subtransient(start=0.123345081) 
    "Open circuit subtransient time constant Tq0'', q-axis";
  parameter Modelica.SIunits.Temperature TsSpecification(start=293.15) 
    "Specification temperature of stator resistance";
  parameter Modelica.SIunits.Temperature TsRef(start=293.15) 
    "Reference temperature of stator resistance";
  parameter Machines.Thermal.LinearTemperatureCoefficient20 alpha20s(start=0) 
    "Temperature coefficient of stator resistance at 20 degC";
  parameter Modelica.SIunits.Temperature TrSpecification(start=293.15) 
    "Specification temperature of (optional) damper cage";
  parameter Modelica.SIunits.Temperature TrRef(start=293.15) 
    "Reference temperature of damper resistances in d- and q-axis";
  parameter Machines.Thermal.LinearTemperatureCoefficient20 alpha20r(start=0) 
    "Temperature coefficient of damper resistances in d- and q-axis";
  parameter Modelica.SIunits.Temperature TeSpecification(start=293.15) 
    "Specification excitation temperature";
  parameter Modelica.SIunits.Temperature TeRef(start=293.15) 
    "Reference temperture of excitation resistance";
  parameter Machines.Thermal.LinearTemperatureCoefficient20 alpha20e(start=0) 
    "Temperature coefficient of excitation resistance";
  final parameter Real xmd = xd - x0 
    "Main field reactance per phase, d-axis [pu]";
  final parameter Real xmq = xq - x0 
    "Main field reactance per phase, q-axis [pu]";
  final parameter Real xe =  xmd^2/(xd - xdTransient) 
    "Excitation reactance [pu]";
  final parameter Real xrd = xmd^2/(xdTransient - xdSubtransient)*(1 - (xmd/xe))^2 + xmd^2/xe 
    "Damper reactance per phase, d-axis [pu]";
  final parameter Real xrq = xmq^2/(xq - xqSubtransient) 
    "Damper reactance per phase, d-axis [pu]";
  final parameter Real rs = 2/(1/xdSubtransient + 1/xqSubtransient)/(omega*Ta) 
    "Stator resistance per phase at specifaction temperature [pu]";
  final parameter Real rrd = (xrd - xmd^2/xe)/(omega*Td0Subtransient) 
    "Damper resistance per phase at specification temperature, d-axis [pu]";
  final parameter Real rrq = xrq/(omega*Tq0Subtransient) 
    "Damper resistance per phase at specification temperature, q-axis [pu]";
  final parameter Real re =  xe/(omega*Td0Transient) 
    "Excitation resistance per phase at specification temperature [pu]";
  parameter Modelica.SIunits.Resistance Rs=
   Machines.Thermal.convertResistance(rs*ZReference,TsSpecification,alpha20s,TsRef) 
    "Stator resistance per phase at TRef";
  parameter Modelica.SIunits.Inductance Lssigma=x0*ZReference/omega 
    "Stator stray inductance per phase";
  parameter Modelica.SIunits.Inductance Lmd=xmd*ZReference/omega 
    "Main field inductance in d-axis";
  parameter Modelica.SIunits.Inductance Lmq=xmq*ZReference/omega 
    "Main field inductance in q-axis";
  parameter Modelica.SIunits.Inductance Lrsigmad=(xrd - xmd)*ZReference/omega 
    "Damper stray inductance in d-axis";
  parameter Modelica.SIunits.Inductance Lrsigmaq=(xrq - xmq)*ZReference/omega 
    "Damper stray inductance in q-axis";
  parameter Modelica.SIunits.Resistance Rrd=
   Machines.Thermal.convertResistance(rrd*ZReference,TrSpecification,alpha20r,TrRef) 
    "Damper resistance in d-axis at TRef";
  parameter Modelica.SIunits.Resistance Rrq=
   Machines.Thermal.convertResistance(rrq*ZReference,TrSpecification,alpha20r,TrRef) 
    "Damper resistance in q-axis at TRef";
  parameter Modelica.SIunits.Resistance Re=3/2*turnsRatio^2*
   Machines.Thermal.convertResistance(re*ZReference,TeSpecification,alpha20e,TeRef) 
    "Excitation resistance at TRef";
  parameter Real sigmae=1 - xmd/xe 
    "Stray fraction of total excitation inductance";
end SynchronousMachineData;

Automatically generated Fri Nov 12 16:29:16 2010.