why the core of current transformer is having low reaction and low core losses
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Answer:
Why does the core of a current transformer have low reactance and low core losses?
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There are a couple of radically different designs of current transformers. Some are fully wound designs, and some are bushing designs with a toroidal core.
CT’s come also in any classes based on the type of load and accuracy they are rated for. Regardless of all that, all CT’s have reactance; it is impossible to eliminated when secondary design calls for a coil of wire.
In an effort to produce ideal accurate/representative output current, you would want to minimize losses in both the magnetic phase, and the electrical phase, so utilizing the best coil and winding design with lowest impedance for the number of turns required and the lowest magnetic losses is mission critical.