A new and systematic method of solution to all possible combinations of bolted faults on unbalanced power networks is presented. Linear transformation matrices coupled with the three-phase bus impedance matrix form the basis of the method. By using the method, accurate short-circuit analysis of three-phase unbalanced networks can be easily programmed on a digital computer. Since all types of short-circuits use the same method of approach, there is no longer a need for the different combinations of sequence networks for various types of faults on an unbalanced power network.