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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.

Problem type:
Plane problem of AC magnetics.

Geometry:

3 phase transformer

3-phase transformer circuit

Given:
Voltage (RMS) U=36 V,
Frequency f=50 Hz,
Core permeability μ=1000,
Copper conductivity g=56e6 S/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

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