To reduce the influence of linear birefringence of sensing fiber on the measurement accuracy of all-fiber current transformers, a spun high birefringence (SHB) fiber can be used as the sensing fiber of transformer. A mathematical model of transformer is established based on Jones matrix. The influences of plane mirror and Faraday rotator mirror on the measurement accuracy of reflection interference type transformer are studied. The relationship between the rotation ratio of SHB fiber and the ability of resistance temperature disturbance of transformer is analyzed, and the error compensation scheme for the SHB-type transformer which uses the fiber 1/4 wave plate is discussed. Results show that, for the plane mirror type transformer, the harmonic division method and the closed-loop signal modulation can eliminate the length sensitivity of SHB fiber. When the rotation ratio is larger than 30,the scale factor variation is less than 0.2% in the temperature range of -40~60 ℃. For the Faraday rotator mirror type transformer, the minimum rotation ratio for SHB fiber is 3.4 under the same condition. It indicates that the Faraday rotator mirror improves the temperature stability of transformer, and the scale factor temperature error of transformer caused by linear birefringence can be compensated when we choose an appropriate fiber 1/4 wave plate.