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To solve the problem of micro grid line fault diagnosis, this paper uses current and voltage fault components to solve elliptic equation parameters to extract fault features, and uses elliptic equation and least square method to obtain characteristic cosine to describe the joint behavior of voltage and current. Five sampling points are used to determine the ellipse parameters used to obtain the polarity relationship between bus voltage and current. The structure and characteristic cosine of microgrid are analyzed, and the change of characteristic cosine when the fault occurs in different position is discussed. The bus characteristic direction is defined by ± 1, and the differential characteristic direction is obtained by combining the characteristic cosine to detect the fault section position, so as to avoid the threshold selection of different microgrid operation modes.