Transformer Thevenin Equivalent In the time-domain, the iv relationships for a linear transformer are v1t L1

Transformer Thevenin Equivalent In the time-domain, the i–v relationships for a linear transformer are v1ðtÞ ¼ L1 di1ðtÞ

dt

þM di2ðtÞ

dt v2ðtÞ ¼ M di1ðtÞ

dt

þ L2 di2ðtÞ

dt Assuming zero initial conditions, transform these equations into the s-domain and show that the s-domain parameters of the Thevenin equivalent at the output are ZTðsÞ ¼ 1  k2
L2s and VTðsÞ ¼ k ffiffiffiffiffiffi L2 L1 r V1ðsÞ
where k is the coupling coefficient.