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Transformers. Transformers. The "simple transformer law" relates output voltage to input voltage and turns ratio. Investigate the importance of frequency and other parameters in determining the non-ideal behaviour of transformers. The "simple transformer law".

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Presentation Transcript
transformers1
Transformers
  • The "simple transformer law" relates output voltage to input voltage and turns ratio. Investigate the importance of frequency and other parameters in determining the non-ideal behaviour of transformers.
neglects
Neglects

No magnetic hysteresis

We also need to separate running with load and free running, as it’s particular case.

part 1
Part 1
  • Measuring parameters of our transformer
1 st experiment vac
1st experiment: VAC

A

Ohm’s law:

V

We used small DC voltages to measure the resistance of the winding

theory
Theory

We will seek the solution of this equations in form:

dependence m against frequency
Dependence M against frequency

M(mutual inductance factor) depends on frequency because of depending µ on it

diffusion flux
Diffusion flux

Diffusion flux

Inside flux

part 2
Part 2
  • Describing all looses in the transformer
losses
Losses

We measured steel losses using the chain (right).

A

V

V

~

rebuilding a chain
Rebuilding a chain

We can rebuild our chain using diffusion inductance

part 3
Part 3
  • Measuring and modeling hysteresis
modeling hysteresis loop
Modeling hysteresis loop

If we know all the coefficients, we can have as a result of our model real hysteresis loop

changing n
Changing n
  • We are changing numbers of coil turns

A

V

V

~

resonance mode
Resonance mode

We can imagine a real winding as system of coils, resistances and capacitors.

conclusions
Conclusions
  • Transformer coefficient depends on
    • frequency because of the resistances of windings and the dependence of induction on frequency
    • the load because of the resistance of the 2nd winding
    • input voltage because of hysteresis mode
    • turns number of the windings because of dependence M on it
slide57

Unideal transformer

Resistance of the winding

Losses of the flux

Losses in the core

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