Winding

Electromagnetic converter with ohmic and magnetic losses.

blockType: AcausalElectricPowerSystems.Passive.Winding

Path in the library:

/Physical Modeling/Electrical/Passive/Winding

Description

Block Winding It is an electromagnetic converter with a winding resistance and a scattering flux. This unit can be used as a basic component for creating transformers.

When a positive current is passed through the electrical ports of the unit, a positive magnetomotive force (MDS) is induced at the magnetic terminals.

The block is based on the following equations:

where

— the magnetomotive force (MDS) on the magnetic ports, and;
— the number of turns of the winding;
— current through the winding, A.

When a positive time-varying flux is applied through the magnetic ports of the unit, a negative voltage is induced at the electrical terminals of the unit.

where

— flow through magnetic ports, Wb;
— current through electrical ports, and;
— scattering resistance, 1/Gn;
— winding resistance, ohms;
— voltage drop at the electrical terminals of the unit, In;
— simulation time, s.

Optionally, the H port can be activated in this unit to account for thermal phenomena occurring in the winding (for example, changes in active resistance, reception/transmission of thermal energy to other units).

Variables

Use the parameter group Initial Targets to set the priority and initial target values for the block parameter variables before modeling. For more information, see Configuring physical blocks using target values.

Ports

Conserving

# + — positive
electricity

Details

The electrical port corresponding to the positive terminal of the unit.

Program usage name

p

# – — negative
electricity

Details

The electrical port corresponding to the negative terminal of the unit.

Program usage name

n

# S — southern terminal
Magnetism

Details

The magnetic port corresponding to the southern terminal of the unit.

Program usage name

magnetic_port_s

# N — The northern terminal
Magnetism

Details

The magnetic port corresponding to the northern terminal of the unit.

Program usage name

magnetic_port_n

# H — thermal port
warm

Details

The thermal port.

Dependencies

To use this port, check the box for the parameter Enable thermal port.

Program usage name

thermal_port

Parameters

Main

# Number of winding turns — number of turns of the winding

Details

The number of turns of the winding.

Default value	`10`
Program usage name	`N`
Evaluatable	Yes

# Winding resistance — consistent resistance
Ohm | mOhm | kOhm | MOhm | GOhm

Details

Power loss in the winding.

Units	`Ohm` \| `mOhm` \| `kOhm` \| `MOhm` \| `GOhm`
Default value	`0.001 Ohm`
Program usage name	`R`
Evaluatable	Yes

# Leakage reluctance — resistance to scattering flow
1/H | 1/mH | 1/nH | 1/uH

Details

Loss of magnetic flux in the winding. If you don’t want to simulate a leak inside the unit Winding, set this parameter to inf.

Units	`1/H` \| `1/mH` \| `1/nH` \| `1/uH`
Default value	`100000.0 1/H`
Program usage name	`R_leakage`
Evaluatable	Yes

# Parallel conductance — parallel conduction
S | nS | uS | mS | 1/Ohm

Details

Parallel conduction. When modeling some circuits, it may be necessary to have a small parallel conduction.

Units	`S` \| `nS` \| `uS` \| `mS` \| `1/Ohm`
Default value	`0.0 1/Ohm`
Program usage name	`G`
Evaluatable	Yes

Thermal Port

# Enable thermal port — visibility of the thermal port

Details

Select the checkbox to enable the thermal port.

The thermal port affects the losses on the winding resistance.

Default value	`false (switched off)`
Program usage name	`has_thermal_port`
Evaluatable	No

Details

The coefficient α in the equation relating resistance to temperature. The default value is for copper.

Dependencies

To use this option, check the box for the option Enable thermal port.

Units	`1/K` \| `1/degR` \| `1/deltaK` \| `1/deltadegC` \| `1/deltadegF` \| `1/deltadegR`
Default value	`0.00393 1/K`
Program usage name	`alpha`
Evaluatable	Yes

Details

The temperature for which the winding parameters are specified.

Dependencies

To use this option, check the box for the option Enable thermal port.

Units	`K` \| `degC` \| `degF` \| `degR` \| `deltaK` \| `deltadegC` \| `deltadegF` \| `deltadegR`
Default value	`25.0 degC`
Program usage name	`T_measurement`
Evaluatable	Yes

# Winding thermal mass — the heat capacity of the winding
J/K | kJ/K

Details

The value of the heat capacity for the winding. Heat capacity is the energy required to raise the temperature by one degree.

Dependencies

To use this option, check the box for the option Enable thermal port.

Units	`J/K` \| `kJ/K`
Default value	`100.0 J/K`
Program usage name	`winding_thermal_mass`
Evaluatable	Yes

Examples

Transformer simulation