To investigate the influence of partial discharge(PD) distribution characteristics due to various defects on the power cable joints interface, we used the K-means clustering method. As the result of PD number(n) distribution analyzing on $Phi-n$ graph, the phase angle($Phi$) of cluster centroid shifted to $0^{circ};and;180^{circ}$ increasing with applying voltage. It was confirmed that the PD quantify(q) and euclidean distance of centroid were increased with applying voltage from the centroid distribution analyzing of $Phi-q$ plane. The dispersion degree was increased with calculated standard deviation of the $Phi-q$ cluster centroid. The PD number and mean value on $Phi-q$ graph were some different by electric field concentration with defect types.