Considering the problem that all currently available phase-mode transformation matrices can not reflect all types of faults， a novel phase-mode transformation matrix is proposed in this paper. The proposed matrix is based on the relationship between the elements in matrix of transposition lines. Mode 1 and 2 transformed by using this matrix can reflect all types of faults. The results of fault location simulation have shown the validity of the new matrix. Stricter requirements are required for relay protection and responding speed of circuit breakers because of rising voltage class. Hence calculations of relaying should be carried out in the time domain. It is a trend that phase-mode transformation will replace symmetrical component transformation. Hence the proposed transformation matrix will find wider applications in the field of relay protection.