- #1
Stu80
- 8
- 3
Homework Statement
Describe an auto-transformer starter. From the expression for power
input per phase (∝ torque) show that for a turns ratio (n) of √3:1 , for
the auto-transformer:
Homework Equations
Pin (phase) = 3 V I cos∅
I = V/Z
cos∅ = R/Z
T∝I∧2
T∝V∧2
For auto transformer with ration n:1, V=V/n, I=nI, T∝1/n∧2
The Attempt at a Solution
I don't understand the question fully, what would be my starting expression? Pin (phase) = 3 V I cos∅?
How do I relate this to being proportional to torque?
I presume in the expression for the power input to the motor/phase that the resistance and impedance is that of the phase with them being denoted with a p?
I've atempted a number of solutions by substituting I and cos∅ for V/Z and R/Z respectively into Pin (phase) = 3 V I cos∅ but I don't come out with anything relevant.
Could you help me get started please?