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Scott 'T' transformer - QuickField simulation example

Input currents and output voltages of a Scott T transformer in open-circuit operation, demonstrating conversion from a three-phase to two-phase system.

Engineering question

How to calculate input currents and output voltages of a Scott transformer in open-circuit mode?

Answer
Model the Scott-T connection in an AC magnetic field-circuit problem, use high-resistance secondary loads to represent open circuit, and calculate the three input currents and two output voltages.

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Typical applications
Scott connection transformers, phase conversion transformers, two-phase supply transformers

Scott transformer

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Simulation problem

Problem Type
Plane-parallel problem of AC magnetics.

Geometry
Scott 'T' transformer Input currents and output voltages of a Scott T transformer in open-circuit operation, demonstrating conversion from a three-phase to two-phase system. Core Transformer T1 Transformer T2 B- B+ C- C+ A- A+ p- p+ q- q+
Electric circuit of the Scott 'T' transformerThree voltage sources UA, UB, UC (36*sqrt(2) V, phases 0, 120 and 240 degrees) feed the primary windings C+, C-, B+, B- of transformer T1 and A+, A- of transformer T2; the secondary windings p+, p- and q+, q- are loaded by resistors R2 and R1 of 10000 Ohm.T1T236*sqrt(2)UA, 0°36*sqrt(2)UB, 120°36*sqrt(2)UC, 240°10000R110000R2C+C-B+B-p+p-A+A-q+q-

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

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