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This paper provides a research on the fault modeling of analog circuits in the complex field,a mathematic phasor fault model is proposed based on collaborative analysis of supply current and output voltage,which is a family of circinal loci on the 2D complex plane. Furthermore,In order to increase the distances between each pair of loci,the fault model is improved in 3D complex space,which achieves a far better fault detection ratio (FDR) against the measurement error and parametric tolerance. Both of the fault models simplify greatly the algorithms of test point selection and potential faults simulation,and achieve very excellent fault coverage that are likely close to 100% for single fault. Moreover,results of some experimental applications are also given to validate the proposed techniques in this paper.