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 unit simulates a three-winding transformer.
Four — the unit simulates a four-winding transformer.
Five — the block simulates a five-winding transformer.
Six — the unit 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 — the option of setting the transformation coefficient TT
Number of turns | Current ratio

Details

Choose one of the following methods for setting the TT transformation coefficient:

Number of turns — through the number of turns.
Current ratio — through rated 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

The number of turns of the wire of the first transformer winding.

Dependencies

To use this parameter, set for the parameter Turns ratio parameterization by meaning 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

The number of turns of the wire of the second transformer winding.

Dependencies

To use this parameter, set for the parameter Turns ratio parameterization by meaning 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

The number of turns of the wire of the third transformer winding.

Dependencies

To use this parameter, set for the parameter Turns ratio parameterization by meaning Number of turns, and for the parameter Number of windings meaning 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

The number of turns of the wire of the fourth transformer winding.

Dependencies

To use this parameter, set for the parameter Turns ratio parameterization by meaning Number of turns, and for the parameter Number of windings meaning 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

The number of turns of the wire of the fifth transformer winding.

Dependencies

To use this parameter, set for the parameter Turns ratio parameterization by meaning Number of turns, and for the parameter Number of windings meaning 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

The number of turns of the wire of the sixth transformer winding.

Dependencies

To use this parameter, set for the parameter Turns ratio parameterization by meaning Number of turns, and for the parameter Number of windings meaning Six.

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

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

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 for the parameter Turns ratio parameterization by meaning Current ratio.

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

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

Details

Rated current of the second winding.

Dependencies

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

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

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

Details

The method of scattering in the winding. Set 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 inductors to represent leaks in the primary and secondary windings.

Dependencies

To use this parameter, set for the parameter Number of windings meaning 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 the windings
Ohm | mOhm | kOhm | MOhm | GOhm

Details

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

Dependencies

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

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

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

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

Details

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

Dependencies

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

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

Details

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

Dependencies

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

To use this parameter, set for the parameter Number of windings meaning Five or Six.

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

# Fifth leakage inductance — fifth winding scattering inductance
H | nH | uH | mH

Details

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

Dependencies

To use this parameter, set for the parameter Number of windings meaning Five or Six.

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

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

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

Magnetization

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

Details

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

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

# Magnetization inductance parameterized by — parameterization of the block
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

The block parameterization method. Set as:

Single inductance (linear) — the values of the number of turns, unsaturated and saturated inductors, saturation magnetic flux and parasitic parallel conductivity are indicated. This option is used by default.
Single saturation point — the values of the number of turns, unsaturated inductance and parasitic parallel conductivity are indicated.
Magnetic flux versus current characteristic — in addition to the number of turns and the value of the parasitic parallel conductivity, the current vector and the magnetic flux vector are indicated to fill in the table of the dependence of the magnetic flux on the current.
Magnetic flux density versus magnetic field strength characteristic — in addition to the number of turns and the value of parasitic parallel conductivity, the values of the effective length and cross-sectional area of the core, as well as the vector of magnetic field strength and the vector of magnetic induction are indicated to fill in the table of dependence of magnetic induction on magnetic field strength.
Magnetic flux density versus magnetic field strength characteristic with hysteresis — in addition to the number of turns, the effective length and the cross-sectional area of the core, the values of the initial derivative of the anhysteresis curve B-H, magnetic induction and field strength at a certain point of the curve B-H are indicated, as well as the coefficient of reversible magnetization, the coefficient of volumetric coupling and the coefficient of inter-domain coupling to determine magnetic induction depending on the current value and history changes in magnetic field strength.
Voltage versus current characteristic — setting saturation via 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

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

Dependencies

To use this parameter, set for the parameter Magnetization inductance parameterized by meaning 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
T | nT | uT | mT | G

Details

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

Dependencies

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

Units	`T` \| `nT` \| `uT` \| `mT` \| `G`
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 | um | mm | cm | km | in | ft | yd | mi | nmi

Details

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

Dependencies

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

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

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

Details

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

Dependencies

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

To use this parameter, set for the parameter Magnetization inductance parameterized by meaning Single saturation point.

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

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

Details

The current values used to fill in the table of magnetic flux versus current.

Dependencies

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

Units	`A` \| `pA` \| `nA` \| `uA` \| `mA` \| `kA` \| `MA`
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 | mN*m/A | N*m/A | kN*m/A | kgf*m/A

Details

The values of the magnetic flux used to fill in the table of the dependence of the magnetic flux on the current.

Dependencies

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

Units	`Wb` \| `mNm/A` \| `Nm/A` \| `kNm/A` \| `kgfm/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 the VAC current
A | pA | nA | uA | mA | kA | MA

Details

The vector of the effective values of the VAC current.

Dependencies

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

Units	`A` \| `pA` \| `nA` \| `uA` \| `mA` \| `kA` \| `MA`
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) — the vector of effective voltage values of the VAC
V | uV | mV | kV | MV

Details

The vector of the effective voltage values of the VAC.

Dependencies

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

Units	`V` \| `uV` \| `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 | kHz | MHz | GHz

Details

Network frequency.

Dependencies

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

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

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

Details

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

Dependencies

To use this parameter, set for the parameter Magnetization inductance parameterized by meaning Single saturation point.

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

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

Details

The derivative of the anhysteretic (without hysteresis) B-H curve is near zero field strength. It is set as the average value of the derivative of the positive and negative hysteresis curves.

Dependencies

To use this parameter, set for the parameter Magnetization inductance parameterized by meaning 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 — the value of magnetic induction at a point on the anhysteresis curve B-H
T | nT | uT | mT | G

Details

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

Dependencies

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

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

# Corresponding field strength — appropriate field strength
A/m

Details

The corresponding field strength for the point specified by the parameter Flux density point on anhysteretic B-H curve.

Dependencies

To use this parameter, set for the parameter Magnetization inductance parameterized by meaning 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 — coefficient of reversible magnetization

Details

The proportion of magnetization that is reversible. The value must be greater than zero and less than one.

Dependencies

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

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

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

Details

A parameter of the Giles-Atherton model, which primarily determines the magnitude of the field strength at which the B-H curve intersects the line of zero magnetic induction.

Dependencies

To use this parameter, set for the parameter Magnetization inductance parameterized by meaning 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 — the coefficient of inter-domain communication

Details

The Giles-Atherton parameter, which primarily affects the intersection points of the B-H curves with the zero field strength line. Typical values range from 1e−4 before 1e−3.

Dependencies

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

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

# Interpolation option — the interpolation option
Linear | Smooth

Details

The option to interpolate the search table. Set 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_type`
Evaluatable	No

Initial Conditions

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

Details

The initial value of the cumulative scattering inductance current.

Dependencies

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

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

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

Details

The initial value of the scattering inductance current of the first transformer winding.

Dependencies

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

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

Details

The initial value of the scattering inductance current of the second transformer winding.

Dependencies

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

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

Details

The initial value of the scattering inductance current of the third transformer winding.

Dependencies

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

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

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

Details

The initial value of the scattering inductance current of the fourth transformer winding.

Dependencies

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

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

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

Details

The initial value of the scattering inductance current of the fifth transformer winding.

Dependencies

To use this parameter, set for the parameter Number of windings meaning Five or Six.

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

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

Details

The initial value of the scattering inductance current of the sixth transformer winding.

Dependencies

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

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

# Specify magnetization inductance state by — the option to set the initial state
Current | Magnetic flux

Details

The option to set the initial state. Set as:

Current — setting the initial state of the transformer based on 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 for the parameter Magnetization inductance parameterized by meaning 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 magnetization inductance current
A | pA | nA | uA | mA | kA | MA

Details

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

Dependencies

To use this parameter, set for the parameter Specify magnetization inductance state by meaning Current.

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

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

Details

The value of the magnetic flux at time zero.

Dependencies

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

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

# Magnetization inductance magnetic flux density — initial magnetic induction of the magnetization inductance
T | nT | uT | mT | G

Details

The value of magnetic induction at time zero.

Dependencies

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

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

# Magnetization inductance field strength — initial field strength of the magnetization inductance
A/m

Details

The value of the magnetic field strength at time zero.

Dependencies

To use this parameter, set for the parameter Magnetization inductance parameterized by meaning 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 conductivity of the total scattering inductance
S | nS | uS | mS | 1/Ohm

Details

This parameter is used to represent small spurious effects in parallel with the cumulative scattering inductance. A small amount of parallel conduction may be required to simulate some circuit topologies.

Dependencies

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

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

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

Details

This parameter is used to represent small spurious effects parallel to the scattering inductance on the first winding. A small amount of parallel conduction may be required to simulate some circuit topologies.

Dependencies

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

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

Details

This parameter is used to represent small spurious effects in parallel with the scattering inductance on the second winding. A small amount of parallel conduction may be required to simulate some circuit topologies.

Dependencies

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

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

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

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

Details

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

Dependencies

To use this parameter, set for the parameter Number of windings meaning Five or Six.

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

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

Details

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

Dependencies

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

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

Examples

Recording events in the power system in a COMTRADE file