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Scott 'T' transformer

QuickField simulation example

Transformer consists of 2 single phase transformers connected in a special way. The unit allows to convert 3-phase voltage to two single-phase voltages.

Problem Type
Plane-parallel problem of AC magnetics.

Geometry
Scott 'T' transformer Transformer consists of 2 single phase transformers connected in a special way. The unit allows to convert 3-phase voltage to two single-phase voltages. Core Transformer T1 Transformer T2 B- B+ C- C+ A- A+ p- p+ q- q+
3-phase transformer circuit

Given
Voltage (RMS) U=36 V,
Frequency f=50 Hz,
Core permeability μ=1000,
Copper conductivity g=56 MS/m,
Transformer1: N1=168 (with central tap), N2=168,
Transformer2: N1=145, N2=168.

Task
Calculate input currents and output voltages in open circuit mode.

Solution
The large resistance R=10 kOhm is connected to the secondary winding. It is used to measure output voltage.

Results

Winding name Voltage, U Phase current, I
A 36√2 @ 0° V 1.95 @ -89° A
B 36√2 @ 120° V 1.94 @ 31° A
C 36√2 @ 240° V 1.94 @ 150° A
p 88 @ 0° V -
q 88 @ 90° V -

scott-t transformer currents

* Reference: http://en.wikipedia.org/wiki/Scott-T_transformer