Traveling-wave-based fault location methods are widely used for modern power systems owing to their high accuracy on two-terminal lines. However, they perform poorly on hybrid multi-terminal lines. Many traveling-wave-based methods have been developed recently to solve this problem, but they have high computational burdens and complex fault location procedures. To tackle this challenge, a new fault location method is presented in this paper. First, to ensure that the implementation of the proposed method is not affected by different line parameters, a normalization algorithm is used for hybrid multi-terminal lines, which consist of overhead lines and cables. To reduce the complexity, a novel fault section identification method that depends only on the first three arrival times is applied to separate a three-terminal fault section from the multi-terminal lines. Consequently, the fault can be located using a corresponding two-terminal fault location method in this fault section. To verify its effectiveness, fault case studies and performance evaluations are performed in the PSCAD and MATLAB/Simulink environment. The simulation results reveal that the proposed method can correctly identify the fault section and accurately locate the faults, which is simple and suitable for hybrid multi-terminal lines.Energies 2018, 11, 1105 2 of 18 matrix models for unbalanced three-phase line is described to analyse ground fault current and also to handle unsymmetrical faults with hybrid compensation for microgrid distribution systems. However, there are major errors in impedance-based fault location, mainly caused by fault resistance, line asymmetry, capacitive effect, or current transformer saturation [15]. Thus, traveling-wave-based methods have been widely used to avoid these drawbacks. The traveling-wave fault location methods based on transient-state analysis are more accurate than the impedance-based methods, because the accuracy of the former depends mainly on the sampling rates of the data acquisition system [16]. With the application of high-frequency transient recorders (TRs), traveling-wave methods have become more widely used in practice [17]. Different fault detection methods and their impact are reviewed in terms of protection performance in [18]. Wavelet transform has proved to be the best option for fault detection. In the traveling-wave methods, discrete wavelet transformation (DWT) is also frequently used to extract fault-induced transient signals. Artificial intelligence-based methods are often used for fault classification [8] and fault section identification. Combined with the relays and protection, an application of enhanced honey-bee mating optimization is proposed to solve the fault section estimation in [19].Among the traveling-wave-based methods, the classical one-terminal method requires the identification of the traveling wave from the fault point [20], which is difficult to perform, particularly for multi-terminal lines. In [21], a classical two-terminal fault location method is presented where the mea...