Current Transformer (Three-Phase)

Three-phase current transformer (CT).

blockType: AcausalElectricPowerSystems.Passive.Transformers.ThreePhaseCurrent

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/Physical Modeling/Electrical/Passive/Transformers/Current Transformer (Three-Phase)

Description

The unit Current Transformer (Three-Phase) is a multiwinding transformer that can be modelled as a three-phase current transformer with different levels of non-linearity.

The parameters group Initial Conditions is used to set the initial current or flux for each of the inductors. Note that these values are not used if Start simulation from steady state is checked in the solver configuration Solver Configuration.

The parameter group Parasitic represents small parasitic effects. Small parallel conductances may be required to model some circuit topologies.

For more information on the equations and modes implemented in the block see Current Transformer.

Ports

Conserving

# ~1 — three-phase port
electricity

Details

A three-phase electrical port corresponding to the positive terminals of the first winding of a transformer.

Program usage name

port1

# ~2 — three-phase port
electricity

Details

A three-phase electrical port corresponding to the negative terminals of the first winding of a transformer.

Program usage name

port2

# a2+ — positive terminal of the second winding of phase a
electricity

Details

The electrical port corresponding to the positive terminal of the second winding of phase a.

Program usage name

a2_p

# a2- — negative terminal of the second phase winding a
electricity

Details

The electrical port corresponding to the negative terminal of the second winding of phase a.

Program usage name

a2_n

# b2+ — positive terminal of the second phase winding b
electricity

Details

The electrical port corresponding to the positive terminal of the second winding of phase b.

Program usage name

b2_p

# b2- — negative terminal of the second phase winding b
electricity

Details

Electrical port corresponding to the negative terminal of the second winding of phase b.

Program usage name

b2_n

# c2+ — positive terminal of the second phase winding c
electricity

Details

The electrical port corresponding to the positive terminal of the second winding of phase c.

Program usage name

c2_p

# c2- — negative terminal of the second phase winding c
electricity

Details

The electrical port corresponding to the negative terminal of the second winding of phase c.

Program usage name

c2_n

# a3+ — positive terminal of the third winding of phase a
electricity

Details

The electrical port corresponding to the positive terminal of the third winding of phase a.

Dependencies

To use this port, set the parameters Number of windings to . Three, Four, Five or Six.

Program usage name

a3_p

# a3- — negative terminal of the third winding of phase a
electricity

Details

The electrical port corresponding to the negative terminal of the third winding of phase a.

Dependencies

To use this port, set the parameters Number of windings to . Three, Four, Five or Six.

Program usage name

a3_n

# b3+ — positive terminal of the third winding of phase b
electricity

Details

The electrical port corresponding to the positive terminal of the third winding of phase b.

Dependencies

To use this port, set the parameters Number of windings to . Three, Four, Five or Six.

Program usage name

b3_p

# b3- — negative terminal of the third winding of phase b
electricity

Details

Electrical port corresponding to the negative terminal of the third winding of phase b.

Dependencies

To use this port, set the parameters Number of windings to . Three, Four, Five or Six.

Program usage name

b3_n

# c3+ — positive terminal of the third phase winding c
electricity

Details

The electrical port corresponding to the positive terminal of the third winding of phase c.

Dependencies

To use this port, set the parameters Number of windings to . Three, Four, Five or Six.

Program usage name

c3_p

# c3- — negative terminal of the third phase winding c
electricity

Details

The electrical port corresponding to the negative terminal of the third winding of phase c.

Dependencies

To use this port, set the parameters Number of windings to . Three, Four, Five or Six.

Program usage name

c3_n

# a4+ — positive terminal of the fourth winding of phase a
electricity

Details

The electrical port corresponding to the positive terminal of the fourth winding of phase a.

Dependencies

To use this port, set the parameters Number of windings to . Four, Five or Six.

Program usage name

a4_p

# a4- — negative terminal of the fourth winding of phase a
electricity

Details

The electrical port corresponding to the negative terminal of the fourth winding of phase a.

Dependencies

To use this port, set the parameters Number of windings to . Four, Five or Six.

Program usage name

a4_n

# b4+ — positive terminal of the fourth winding of phase b
electricity

Details

The electrical port corresponding to the positive terminal of the fourth winding of phase b.

Dependencies

To use this port, set the parameters Number of windings to . Four, Five or Six.

Program usage name

b4_p

# b4- — negative terminal of the fourth winding of phase b
electricity

Details

The electrical port corresponding to the negative terminal of the fourth winding of phase b.

Dependencies

To use this port, set the parameters Number of windings to . Four, Five or Six.

Program usage name

b4_n

# c4+ — positive terminal of the fourth phase winding c
electricity

Details

The electrical port corresponding to the positive terminal of the fourth winding of phase c.

Dependencies

To use this port, set the parameters Number of windings to . Four, Five or Six.

Program usage name

c4_p

# c4- — negative terminal of the fourth phase winding c
electricity

Details

The electrical port corresponding to the negative terminal of the fourth winding of phase c.

Dependencies

To use this port, set the parameters Number of windings to . Four, Five or Six.

Program usage name

c4_n

# a5+ — positive terminal of the fifth winding of phase a
electricity

Details

The electrical port corresponding to the positive terminal of the fifth winding of phase a.

Dependencies

To use this port, set the parameters Number of windings to Five or Six.

Program usage name

a5_p

# a5- — negative terminal of the fifth phase winding a
electricity

Details

The electrical port corresponding to the negative terminal of the fifth winding of phase a.

Dependencies

To use this port, set the parameters Number of windings to Five or Six.

Program usage name

a5_n

# b5+ — positive terminal of the fifth phase winding b
electricity

Details

The electrical port corresponding to the positive terminal of the fifth winding of phase b.

Dependencies

To use this port, set the parameters Number of windings to Five or Six.

Program usage name

b5_p

# b5- — negative terminal of the fifth phase winding b
electricity

Details

Electrical port corresponding to the negative terminal of the fifth winding of phase b.

Dependencies

To use this port, set the parameters Number of windings to Five or Six.

Program usage name

b5_n

# c5+ — positive terminal of the fifth phase winding c
electricity

Details

The electrical port corresponding to the positive terminal of the fifth winding of phase c.

Dependencies

To use this port, set the parameters Number of windings to Five or Six.

Program usage name

c5_p

# c5- — negative terminal of the fifth phase winding c
electricity

Details

The electrical port corresponding to the negative terminal of the fifth winding of phase c.

Dependencies

To use this port, set the parameters Number of windings to Five or Six.

Program usage name

c5_n

# a6+ — positive terminal of the sixth phase winding a
electricity

Details

The electrical port corresponding to the positive terminal of the sixth winding of phase a.

Dependencies

To use this port, set the parameters Number of windings to . Six.

Program usage name

a6_p

# a6- — negative terminal of the sixth phase winding a
electricity

Details

The electrical port corresponding to the negative terminal of the sixth winding of phase a.

Dependencies

To use this port, set the parameters Number of windings to . Six.

Program usage name

a6_n

# b6+ — positive terminal of the sixth phase winding b
electricity

Details

The electrical port corresponding to the positive terminal of the sixth winding of phase b.

Dependencies

To use this port, set the parameters Number of windings to . Six.

Program usage name

b6_p

# b6- — negative terminal of the sixth phase winding b
electricity

Details

Electrical port corresponding to the negative terminal of the sixth winding of phase b.

Dependencies

To use this port, set the parameters Number of windings to . Six.

Program usage name

b6_n

# c6+ — positive terminal of the sixth phase winding c
electricity

Details

The electrical port corresponding to the positive terminal of the sixth winding of phase c.

Dependencies

To use this port, set the parameters Number of windings to . Six.

Program usage name

c6_p

# c6- — negative terminal of the sixth phase winding c
electricity

Details

The electrical port corresponding to the negative terminal of the sixth winding of phase c.

Dependencies

To use this port, set the parameters Number of windings to . Six.

Program usage name

c6_n

Parameters

Main

# Number of windings — switching between two-, three-, four-, five- and six-winding transformers
Two | Three | Four | Five | Six

Details

Switching between two-, three-, four-, five- and six-winding transformers.

Two - the unit simulates a two-winding transformer.
Three - The block simulates a three-winding transformer.
Four - The block simulates a four-winding transformer.
Five - The block simulates a five-winding transformer.
Six - The block simulates a six-winding transformer.

Values	`Two` \| `Three` \| `Four` \| `Five` \| `Six`
Default value	`Two`
Program usage name	`N_windings`
Evaluatable	No

# Turns ratio parameterization by — option for setting the CT transformer ratio
Number of turns | Current ratio

Details

Select one of the following methods for setting the CT transformer ratio:

Number of turns - through the number of turns.
Current ratio - through nominal currents.

Values	`Number of turns` \| `Current ratio`
Default value	`Number of turns`
Program usage name	`turns_ratio_parameterization`
Evaluatable	No

# First winding number of turns — number of turns of the first winding

Details

Number of turns of the first winding wire of the transformer.

Dependencies

To use this parameter, set the parameters Turns ratio parameterization by to . Number of turns.

Default value	`1`
Program usage name	`N_1`
Evaluatable	Yes

# Second winding number of turns — number of turns of the second winding

Details

Number of turns of the second winding wire of the transformer.

Dependencies

To use this parameter, set the parameter Turns ratio parameterization by to . Number of turns.

Default value	`2000`
Program usage name	`N_2`
Evaluatable	Yes

# Third winding number of turns — number of turns of the third winding

Details

Number of turns of the third winding wire of the transformer.

Dependencies

To use this parameter, set the Turns ratio parameterization by parameters to and the parameters to . Number of turns`and set the parameters Number of windings. `Three, Four, Five or Six.

Default value	`2000`
Program usage name	`N_3`
Evaluatable	Yes

# Fourth winding number of turns — number of turns of the fourth winding

Details

Number of turns of the fourth winding wire of the transformer.

Dependencies

To use this parameter, set the parameters Turns ratio parameterization by to the value of Number of turns`and set the parameters Number of windings. `Four, Five or Six.

Default value	`2000`
Program usage name	`N_4`
Evaluatable	Yes

# Fifth winding number of turns — number of turns of the fifth winding

Details

Number of turns of the fifth winding wire of the transformer.

Dependencies

To use this parameter, set the parameters Turns ratio parameterization by to the value of Number of turns`and set the parameters Number of windings to `Five or Six.

Default value	`2000`
Program usage name	`N_5`
Evaluatable	Yes

# Sixth winding number of turns — number of turns of the sixth winding

Details

Number of turns of the sixth winding wire of the transformer.

Dependencies

To use this parameter, set the parameters Turns ratio parameterization by to the value of Number of turns`and the parameters for Number of windings are set to `Six.

Default value	`2000`
Program usage name	`N_6`
Evaluatable	Yes

# First winding nominal current — rated secondary winding current
A | MA | kA | mA | nA | pA | uA

Details

The rated current of each secondary winding used. The rated currents of the secondary windings are assumed to be equal.

Dependencies

To use this parameter, set the parameter Turns ratio parameterization by to . Current ratio.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`2000.0 A`
Program usage name	`I1_rated`
Evaluatable	Yes

# Secondary winding nominal current — rated current of the second winding
A | MA | kA | mA | nA | pA | uA

Details

Rated current of the second winding.

Dependencies

To use this parameter, set the parameter Turns ratio parameterization by to . Current ratio.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`1.0 A`
Program usage name	`I2_rated`
Evaluatable	Yes

# Winding parameterized by — type of winding distribution representation
Combined primary and secondary values | Separate primary and secondary values

Details

The method of dissipation in the winding. Defined as:

Combined primary and secondary values - use concentrated resistance and inductance values representing the combined leakage in the primary and secondary windings.
Separate primary and secondary values - use separate resistances and inductances to represent primary and secondary leakage.

Dependencies

To use this parameter, set the parameters Number of windings to Two.

Values	`Combined primary and secondary values` \| `Separate primary and secondary values`
Default value	`Combined primary and secondary values`
Program usage name	`winding_parameterization`
Evaluatable	No

# Combined winding resistance — total active resistance of windings
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The concentrated equivalent active resistance Req, which represents the combined power losses of the first and second windings.

Dependencies

To use this parameter, set the parameters Winding parameterized by to . Combined primary and secondary values.

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`0.01 Ohm`
Program usage name	`R_eq`
Evaluatable	Yes

# Combined leakage inductance — total scattering inductance
H | mH | nH | uH

Details

The cumulative equivalent inductance Leq, which is the combined magnetic flux losses of the first and second windings.

Dependencies

To use this parameter, set the parameters Winding parameterized by to . Combined primary and secondary values.

Units	`H` \| `mH` \| `nH` \| `uH`
Default value	`0.0001 H`
Program usage name	`L_eq`
Evaluatable	Yes

# First winding resistance — active resistance of the first winding
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The active resistance R1, which represents the power loss of the first winding.

Dependencies

To use this parameter, set the Winding parameterized by parameters to the value of Separate primary and secondary values or set the Number of windings parameters to R1. Three, Four, Five or Six.

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`0.01 Ohm`
Program usage name	`R_1`
Evaluatable	Yes

# First leakage inductance — dissipation inductance of the first winding
H | mH | nH | uH

Details

The inductance L1, which represents the magnetic flux losses of the first winding.

Dependencies

To use this parameter, set the Winding parameterized by parameters to the value of Separate primary and secondary values or set the Number of windings parameters to . Three, Four, Five or Six.

Units	`H` \| `mH` \| `nH` \| `uH`
Default value	`0.0001 H`
Program usage name	`L_1`
Evaluatable	Yes

# Second winding resistance — active resistance of the second winding
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The active resistance R2, which represents the power loss of the second winding.

Dependencies

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`0.01 Ohm`
Program usage name	`R_2`
Evaluatable	Yes

# Second leakage inductance — dissipation inductance of the second winding
H | mH | nH | uH

Details

The inductance L2, which represents the magnetic flux losses of the second winding.

Dependencies

Units	`H` \| `mH` \| `nH` \| `uH`
Default value	`0.0001 H`
Program usage name	`L_2`
Evaluatable	Yes

# Third winding resistance — active resistance of the third winding
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The active resistance R3, which represents the power loss of the third winding.

Dependencies

To use this parameter, set the parameter Number of windings to . Three, Four, Five or Six.

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`0.01 Ohm`
Program usage name	`R_3`
Evaluatable	Yes

# Third leakage inductance — dissipation inductance of the third winding
H | mH | nH | uH

Details

The L3 inductance, which represents the magnetic flux losses of the second secondary winding.

Dependencies

To use this parameter, set the Number of windings parameters to . Three, Four, Five or Six.

Units	`H` \| `mH` \| `nH` \| `uH`
Default value	`0.0001 H`
Program usage name	`L_3`
Evaluatable	Yes

# Fourth winding resistance — active resistance of the fourth winding
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The active resistance R4, which represents the power loss of the fourth winding.

Dependencies

To use this parameter, set the parameter Number of windings to . Four, Five or Six.

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`0.01 Ohm`
Program usage name	`R_4`
Evaluatable	Yes

# Fourth leakage inductance — dissipation inductance of the fourth winding
H | mH | nH | uH

Details

The L4 inductance, which represents the magnetic flux losses of the fourth winding.

Dependencies

To use this parameter, set the parameter Number of windings to the value of Four, Five or Six.

Units	`H` \| `mH` \| `nH` \| `uH`
Default value	`0.0001 H`
Program usage name	`L_4`
Evaluatable	Yes

# Fifth winding resistance — active resistance of the fifth winding
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The active resistance R5, which represents the power loss of the fourth secondary winding.

Dependencies

To use this parameter, set the parameters Number of windings to the value of Five or Six.

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`0.01 Ohm`
Program usage name	`R_5`
Evaluatable	Yes

# Fifth leakage inductance — dissipation inductance of the fifth winding
H | mH | nH | uH

Details

The L5 inductance, which represents the magnetic flux losses of the fifth winding.

Dependencies

To use this parameter, set the parameters Number of windings to the value of Five or Six.

Units	`H` \| `mH` \| `nH` \| `uH`
Default value	`0.0001 H`
Program usage name	`L_5`
Evaluatable	Yes

# Sixth winding resistance — active resistance of the sixth winding
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The active resistance R6, which represents the power loss of the sixth winding.

Dependencies

To use this parameter, set the parameter Number of windings to the value of Six.

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`0.01 Ohm`
Program usage name	`R_6`
Evaluatable	Yes

# Sixth leakage inductance — dissipation inductance of the sixth winding
H | mH | nH | uH

Details

The L6 inductance, which represents the magnetic flux losses of the sixth winding.

Dependencies

To use this parameter, set the parameter Number of windings to the value of Six.

Units	`H` \| `mH` \| `nH` \| `uH`
Default value	`0.0001 H`
Program usage name	`L_6`
Evaluatable	Yes

Magnetization

# Magnetization resistance — active magnetising resistance
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The active resistance Rm representing the magnetic losses in the transformer core.

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`100.0 Ohm`
Program usage name	`R_m`
Evaluatable	Yes

# Magnetization inductance parameterized by — block parameterization
Single inductance (linear) | Single saturation point | Magnetic flux versus current characteristic | Magnetic flux density versus magnetic field strength characteristic | Magnetic flux density versus magnetic field strength characteristic with hysteresis | Voltage versus current characteristic

Details

A method for parameterising a block. Defined as:

Single inductance (linear) - values for the number of turns, unsaturated and saturated inductances, saturation magnetic flux and parasitic parallel conductivity are specified. This option is used by default.
Single saturation point - The values for the number of turns, unsaturated inductance and parasitic parallel conductivity are specified.
Magnetic flux versus current characteristic - In addition to the number of turns and the value of the parasitic parallel conductance, the current vector and the magnetic flux vector are given to complete the magnetic flux-current table.
Magnetic flux density versus magnetic field strength characteristic - In addition to the number of turns and the parasitic parallel conductance value, the effective length and cross-sectional area of the core, the magnetic field strength vector and the magnetic induction vector are given to complete the magnetic induction versus magnetic field strength table.
Magnetic flux density versus magnetic field strength characteristic with hysteresis - In addition to the number of turns, effective length and cross-sectional area of the core, the values of the initial derivative of the angysteresis B-H curve, magnetic induction and field strength at a certain point of the B-H curve, as well as the reversible magnetisation coefficient, volume coupling coefficient and interdomain coupling coefficient to determine the magnetic induction as a function of the current value and history of the magnetic field strength are given.
Voltage versus current characteristic - setting saturation through the volt-ampere characteristic (VAC).

Values	`Single inductance (linear)` \| `Single saturation point` \| `Magnetic flux versus current characteristic` \| `Magnetic flux density versus magnetic field strength characteristic` \| `Magnetic flux density versus magnetic field strength characteristic with hysteresis` \| `Voltage versus current characteristic`
Default value	`Voltage versus current characteristic`
Program usage name	`saturation_parameterization`
Evaluatable	No

# Magnetic field strength vector, H — vector of magnetic field strength values
A/m

Details

Magnetic field strength values used to fill in the table of dependence of magnetic induction on magnetic field strength.

Dependencies

To use this parameter, set the Magnetization inductance parameterized by parameters to . Magnetic flux versus current characteristic.

Units	`A/m`
Default value	`[0.0, 200.0, 400.0, 600.0, 800.0, 1000.0] A/m`
Program usage name	`H_vector`
Evaluatable	Yes

# Magnetic flux density vector, B — vector of magnetic induction values
G | T

Details

Magnetic induction values used to fill in the table of dependence of magnetic induction on magnetic field strength.

Dependencies

To use this parameter, set the Magnetization inductance parameterized by parameters to . Magnetic flux versus current characteristic.

Units	`G` \| `T`
Default value	`[0.0, 0.81, 1.25, 1.42, 1.48, 1.49] T`
Program usage name	`B_vector`
Evaluatable	Yes

# Effective length — effective core length
m | cm | ft | in | km | mi | mm | um | yd

Details

The effective core length, i.e. the average length of the magnetic flux path.

Dependencies

To use this parameter, set the parameters Magnetization inductance parameterized by to Magnetic flux density versus magnetic field strength characteristic or Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Units	`m` \| `cm` \| `ft` \| `in` \| `km` \| `mi` \| `mm` \| `um` \| `yd`
Default value	`0.2 m`
Program usage name	`effective_length`
Evaluatable	Yes

# Effective cross-sectional area — effective cross-sectional area
m^2 | cm^2 | ft^2 | in^2 | km^2 | mi^2 | mm^2 | um^2 | yd^2

Details

The effective cross-sectional area of the core, i.e. the average area of the magnetic flux path.

Dependencies

To use this parameter, set the parameters Magnetization inductance parameterized by to the value of Magnetic flux density versus magnetic field strength characteristic or Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Units	`m^2` \| `cm^2` \| `ft^2` \| `in^2` \| `km^2` \| `mi^2` \| `mm^2` \| `um^2` \| `yd^2`
Default value	`2e-4 m^2`
Program usage name	`A_effective`
Evaluatable	Yes

# Unsaturated inductance — unsaturated inductance
H | mH | nH | uH

Details

The inductance value used when the transformer is operating in the linear region.

Dependencies

To use this parameter, set the parameters Magnetization inductance parameterized by to Single inductance (linear) or Single saturation point.

Units	`H` \| `mH` \| `nH` \| `uH`
Default value	`4e-2 H`
Program usage name	`L_m`
Evaluatable	Yes

# Saturated inductance — saturable inductance
H | mH | nH | uH

Details

The inductance value used when the transformer is operating in the saturation zone.

Dependencies

To use this parameter, set the parameter Magnetization inductance parameterized by to the value of Single saturation point.

Units	`H` \| `mH` \| `nH` \| `uH`
Default value	`1e-2 H`
Program usage name	`L_m_sat`
Evaluatable	Yes

# Current vector, i — current vector
A | MA | kA | mA | nA | pA | uA

Details

Current values used to populate the magnetic flux-current table.

Dependencies

To use this parameter, set the Magnetization inductance parameterized by parameters to . Magnetic flux versus current characteristic.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`[0.0, 0.4, 0.8, 1.2, 1.6, 2.0] A`
Program usage name	`i_vector`
Evaluatable	Yes

# Magnetic flux vector, Φ — vector of magnetic flux values
Wb | N*m/A | mN*m/A

Details

Magnetic flux values used to populate the magnetic flux-current table.

Dependencies

To use this parameter, set the parameters Magnetization inductance parameterized by to . Magnetic flux versus current characteristic.

Units	`Wb` \| `Nm/A` \| `mNm/A`
Default value	`[0.0, 0.161, 0.25, 0.284, 0.295, 0.299] * 1e-3 Wb`
Program usage name	`Phi_vector`
Evaluatable	Yes

# Current vector for V-I option, (secondary side - RMS) — vector of effective values of current VAC
A | MA | kA | mA | nA | pA | uA

Details

The vector of effective values of the SAC current.

Dependencies

To use this parameter, set the parameter Magnetization inductance parameterized by to . Voltage versus current characteristic.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`[0.0, 0.1414, 0.2828, 0.4243, 0.5657, 0.7071] A`
Program usage name	`I_RMS_vector`
Evaluatable	Yes

# Voltage vector for V-I option, (secondary side - RMS) — vector of effective values of voltage VAC
V | MV | kV | mV

Details

The vector of effective values of the VAC voltage.

Dependencies

To use this parameter, set the parameter Magnetization inductance parameterized by to . Voltage versus current characteristic.

Units	`V` \| `MV` \| `kV` \| `mV`
Default value	`[0.0, 7.1530, 11.1072, 12.6178, 13.1065, 13.2842] V`
Program usage name	`V_RMS_vector`
Evaluatable	Yes

# System frequency — network frequency
Hz | GHz | MHz | kHz

Details

Network frequency.

Dependencies

To use this parameter, set the Magnetization inductance parameterized by parameters to Voltage versus current characteristic.

Units	`Hz` \| `GHz` \| `MHz` \| `kHz`
Default value	`50.0 Hz`
Program usage name	`f`
Evaluatable	Yes

# Saturation magnetic flux — saturated magnetic flux
Wb | N*m/A | mN*m/A

Details

The value of the magnetic flux at which the transformer becomes saturated.

Dependencies

To use this parameter, set the parameters Magnetization inductance parameterized by to . Single saturation point.

Units	`Wb` \| `Nm/A` \| `mNm/A`
Default value	`0.00016 Wb`
Program usage name	`Phi_sat`
Evaluatable	Yes

# Anhysteretic B-H gradient when H is zero — derivative of the B-H anhysteresis curve near zero field strength
H/m | mH/m | nH/m | uH/m | H/km | mH/km | T*m/A

Details

The derivative of the anhysteresis (no hysteresis) B-H curve near zero field strength. Set as the average of the derivative of the positive and negative hysteresis curves.

Dependencies

To use this parameter, set the parameter Magnetization inductance parameterized by to . Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Units	`H/m` \| `mH/m` \| `nH/m` \| `uH/m` \| `H/km` \| `mH/km` \| `T*m/A`
Default value	`0.005 T*m/A`
Program usage name	`dB_dH_0`
Evaluatable	Yes

# Flux density point on anhysteretic B-H curve — value of magnetic induction at the point on the angysteresis curve B-H
G | T

Details

Specify the value of magnetic induction at a point on the anhysteresis curve. The most accurate option is to select the point at high field strength when the positive and negative hysteresis curves coincide.

Dependencies

To use this parameter, set the parameter Magnetization inductance parameterized by to . Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Units	`G` \| `T`
Default value	`1.49 T`
Program usage name	`B_anhysteretic`
Evaluatable	Yes

# Corresponding field strength — corresponding field strength
A/m

Details

Corresponding field strength for the point given by the parameters Flux density point on anhysteretic B-H curve.

Dependencies

To use this parameter, set the Magnetization inductance parameterized by parameters to . Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Units	`A/m`
Default value	`1000.0 A/m`
Program usage name	`H_anhysteretic`
Evaluatable	Yes

# Coefficient for reversible magnetization, c — reversible magnetisation coefficient

Details

The fraction of magnetisation that is reversible. The value must be greater than zero and less than one.

Dependencies

To use this parameter, set the parameter Magnetization inductance parameterized by to the value of Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Default value	`0.1`
Program usage name	`c`
Evaluatable	Yes

# Bulk coupling coefficient, K — volume coupling coefficient
A/m

Details

A parameter of the Giles-Atherton model that primarily determines the value of field strength at which the B-H curve crosses the line of zero magnetic induction.

Dependencies

To use this parameter, set the parameters Magnetization inductance parameterized by to . Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Units	`A/m`
Default value	`200.0 A/m`
Program usage name	`K`
Evaluatable	Yes

# Inter-domain coupling factor, α — interdomain coefficient

Details

A Giles-Atherton parameter affecting primarily the points of intersection of the B-H curves with the zero field strength line. Typical values range from 1e-4 to 1e-3.

Dependencies

To use this parameter, set the parameter Magnetization inductance parameterized by to a value of Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Default value	`1e-4`
Program usage name	`alpha`
Evaluatable	Yes

# Interpolation option — interpolation option
Linear | Smooth

Details

The interpolation option of the lookup table. Defined as:

Linear - select this option to get the best performance.
Smooth - select this option to obtain a continuous curve with continuous first order derivatives.

Values	`Linear` \| `Smooth`
Default value	`Linear`
Program usage name	`interpolation_option`
Evaluatable	No

Initial Conditions

# Combined leakage current — initial current of the total dissipation inductance
A | MA | kA | mA | nA | pA | uA

Details

Initial value of the total dissipation inductance current.

Dependencies

To use this parameter, set the parameter Winding parameterized by to . Combined primary and secondary values.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`0.0 A`
Program usage name	`i_Leq_start`
Evaluatable	Yes

# First leakage inductance current — initial current of the first winding dissipation inductance
A | MA | kA | mA | nA | pA | uA

Details

Initial value of the dissipation inductance current of the first winding of the transformer.

Dependencies

To use this parameter, set the parameters Winding parameterized by to Separate primary and secondary values or set the parameters Number of windings. Three, Four, Five or Six.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`0.0 A`
Program usage name	`i_L1_start`
Evaluatable	Yes

# Second leakage inductance current — initial current of the second winding dissipation inductance
A | MA | kA | mA | nA | pA | uA

Details

Initial value of the dissipation inductance current of the second winding of the transformer.

Dependencies

To use this parameter, set the parameters Winding parameterized by to Separate primary and secondary values or set the parameters Number of windings. Three, Four, Five or Six.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`0.0 A`
Program usage name	`i_L2_start`
Evaluatable	Yes

# Third leakage inductance current — initial current of the third winding dissipation inductance
A | MA | kA | mA | nA | pA | uA

Details

Initial value of the dissipation inductance current of the third winding of the transformer.

Dependencies

To use this parameter, set the parameters Number of windings to . Three, Four, Five or Six.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`0.0 A`
Program usage name	`i_L3_start`
Evaluatable	Yes

# Fourth leakage inductance current — initial current of the fourth winding dissipation inductance
A | MA | kA | mA | nA | pA | uA

Details

Initial value of the dissipation inductance current of the fourth winding of the transformer.

Dependencies

To use this parameter, set the parameters Number of windings to . Four, Five or Six.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`0.0 A`
Program usage name	`i_L4_start`
Evaluatable	Yes

# Fifth leakage inductance current — initial current of the fifth winding dissipation inductance
A | MA | kA | mA | nA | pA | uA

Details

Initial value of the dissipation inductance current of the fifth winding of the transformer.

Dependencies

To use this parameter, set the parameters Number of windings to Five or Six.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`0.0 A`
Program usage name	`i_L5_start`
Evaluatable	Yes

# Sixth leakage inductance current — initial current of the sixth winding dissipation inductance
A | MA | kA | mA | nA | pA | uA

Details

Initial value of the dissipation inductance current of the sixth winding of the transformer.

Dependencies

To use this parameter, set the parameters Number of windings. Six.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`0.0 A`
Program usage name	`i_L6_start`
Evaluatable	Yes

# Specify magnetization inductance state by — option for setting the initial state
Current | Magnetic flux

Details

The option to set the initial state. Defined as:

Current - setting the initial state of the transformer by the initial current through the transformer. This option is used by default.
Magnetic flux - setting the initial state of the transformer by magnetic flux.

Dependencies

To use this parameter, set the parameters Magnetization inductance parameterized by to . Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Values	`Current` \| `Magnetic flux`
Default value	`Current`
Program usage name	`saturation_start_option`
Evaluatable	No

# Magnetization inductance current — initial magnetising inductance current
A | MA | kA | mA | nA | pA | uA

Details

The initial current value used to calculate the magnetic flux value at zero time. This is the current flowing through the magnetising inductance of the transformer. The total magnetising current consists of the current through the active magnetising resistance and the current through the magnetising inductance.

Dependencies

To use this parameter, set the parameters Specify magnetization inductance state by to . Current.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`0.0 A`
Program usage name	`i_Lm_start`
Evaluatable	Yes

# Magnetization inductance magnetic flux — initial magnetic flux of the magnetising inductance
Wb | N*m/A | mN*m/A

Details

Magnetic flux value at zero time.

Dependencies

To use this parameter, set the parameter Specify magnetization inductance state by to . Magnetic flux.

Units	`Wb` \| `Nm/A` \| `mNm/A`
Default value	`0.0 Wb`
Program usage name	`Phi_start`
Evaluatable	Yes

# Magnetization inductance magnetic flux density — initial magnetic induction of the magnetising inductance
G | T

Details

The value of magnetic induction at zero time.

Dependencies

To use this parameter, set the parameter Magnetization inductance parameterized by to . Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Units	`G` \| `T`
Default value	`0.0 T`
Program usage name	`B_start`
Evaluatable	Yes

# Magnetization inductance field strength — initial field strength of magnetising inductance
A/m

Details

The value of the magnetic field strength at zero time.

Dependencies

To use this parameter, set the Magnetization inductance parameterized by parameters to Magnetic flux density versus magnetic field strength characteristic with hysteresis.

Units	`A/m`
Default value	`0.0 A/m`
Program usage name	`H_start`
Evaluatable	Yes

Parasitic

# Combined leakage inductance parasitic parallel conductance — parasitic parallel conductance of the total scattering inductance
S | mS | nS | uS | 1/Ohm

Details

This parameters is used to represent small parasitic effects in parallel to the aggregate scattering inductance. A small parallel conductance may be required for modelling some circuit topologies.

Dependencies

To use this parameter, set the parameter Winding parameterized by to the value of Combined primary and secondary values.

Units	`S` \| `mS` \| `nS` \| `uS` \| `1/Ohm`
Default value	`1e-9 1/Ohm`
Program usage name	`g_Leq`
Evaluatable	Yes

# First leakage inductance parasitic parallel conductance — parasitic parallel conductance of the first winding scattering inductance
S | mS | nS | uS | 1/Ohm

Details

This parameter is used to represent small parasitic effects parallel to the scattering inductance on the first winding. The small parallel conductance may be required for modelling some circuit topologies.

Dependencies

To use this parameter, set the Winding parameterized by parameters to Separate primary and secondary values or set the Number of windings parameters to . Three, Four, Five or Six.

Units	`S` \| `mS` \| `nS` \| `uS` \| `1/Ohm`
Default value	`1e-9 1/Ohm`
Program usage name	`g_L1`
Evaluatable	Yes

# Second leakage inductance parasitic parallel conductance — parasitic parallel conductance of the second winding scattering inductance
S | mS | nS | uS | 1/Ohm

Details

This parameter is used to represent small parasitic effects in parallel to the scattering inductance on the second winding. The small parallel conductance may be required for modelling some circuit topologies.

Dependencies

To use this parameter, set the Winding parameterized by parameters to Separate primary and secondary values or set the Number of windings parameters to . Three, Four, Five or Six.

Units	`S` \| `mS` \| `nS` \| `uS` \| `1/Ohm`
Default value	`1e-9 1/Ohm`
Program usage name	`g_L2`
Evaluatable	Yes

# Third leakage inductance parasitic parallel conductance — parasitic parallel conductance of the third winding scattering inductance
S | mS | nS | uS | 1/Ohm

Details

This parameter is used to represent small parasitic effects in parallel to the scattering inductance on the third winding.

Dependencies

To use this parameter, set the parameter Number of windings to . Three, Four, Five or Six.

Units	`S` \| `mS` \| `nS` \| `uS` \| `1/Ohm`
Default value	`1e-9 1/Ohm`
Program usage name	`g_L3`
Evaluatable	Yes

# Fourth leakage inductance parasitic parallel conductance — parasitic parallel conductance of the fourth winding scattering inductance
S | mS | nS | uS | 1/Ohm

Details

This parameter is used to represent small parasitic effects in parallel with the scattering inductance on the fourth winding.

Dependencies

To use this parameter, set the parameter Number of windings to . Four, Five or Six.

Units	`S` \| `mS` \| `nS` \| `uS` \| `1/Ohm`
Default value	`1e-9 1/Ohm`
Program usage name	`g_L4`
Evaluatable	Yes

# Fifth leakage inductance parasitic parallel conductance — parasitic parallel conductance of the fifth winding scattering inductance
S | mS | nS | uS | 1/Ohm

Details

This parameter is used to represent small parasitic effects parallel to the fifth winding scattering inductance.

Dependencies

To use this parameter, set the parameters Number of windings to Five or Six.

Units	`S` \| `mS` \| `nS` \| `uS` \| `1/Ohm`
Default value	`1e-9 1/Ohm`
Program usage name	`g_L5`
Evaluatable	Yes

# Sixth leakage inductance parasitic parallel conductance — parasitic parallel conductance of the sixth winding scattering inductance
S | mS | nS | uS | 1/Ohm

Details

This parameter is used to represent small parasitic effects parallel to the scattering inductance on the sixth winding.

Dependencies

To use this parameter, set the parameters Number of windings to . Six.

Units	`S` \| `mS` \| `nS` \| `uS` \| `1/Ohm`
Default value	`1e-9 1/Ohm`
Program usage name	`g_L6`
Evaluatable	Yes