Current transformer behaving like voltage transformer

currenttransformer

I wrapped wire around a steel core, and then i put a cable that carries around 10A through the center. This should be a current transformer and should behave like a constant current source. The bigger the load in the secondary the bigger the voltage drop should be (with the current staying constant). And the more the turns of the secondary the less the current should be. But that is not what happened.

As i put bigger resistors in the secondary the current dropped along with the voltage drop. As i wrapped more turns around the core, there was a bigger current and a bigger voltage drop in the secondary.

This behavior is similar to a voltage transformer, isn't it? What is happening?

Best Answer

The differences between a voltage transformer and a current transformer are only in the construction. The theory is the same for both.

The secondary current in a (current) transformer is not constant, regardless of load. The secondary current is only proportional to the primary current with the secondary short-circuited. With the secondary open-circuit, the secondary voltage is proportional to the rate-of-change of the primary current, and might be very large if the primary current changes rapidly.

With a resistive load, the output voltage will depend on both the primary current and it's rate-of-change. Manufacturers of current transformers therefore quote a maximum load resistance (or a maximum secondary voltage) for which the transformer's primary/secondary current ratio will remain in specification.

Here is a Bode plot (on logarithmic axes) of an ideal current transformer. As you would expect, at dc there is no output. Ls represents the secondary inductance, and RL is the resistance in the secondary circuit, ie the sum of the secondary resistance and the load resistance.

Bode plot of ideal current transformer

If we start with the black line as our transfer function, and our operating frequency is indicated by the blue line, we get the expected 1/N current ratio. If we increase the load resistance RL enough (the red line), our blue line now intersects the transfer function at a lower current ratio. So we require \$R_L<2\pi fL_S\$ for normal operation.