This paper presents a new iterative solution technique for power flow analysis to reduce the computation complexity, hence time of the conventional solution techniques. In the proposed method, the impedance matrix has been used instead of admittance matrix. This method does not involve any other jacobian matrix or any other inversion of matrix, hence there is no problem of singularity. Memory requirement of the proposed method is also less. The new method has been tested on IEEE standard 5-bus, 14-bus, 30-bus, 57-bus, 118-bus and 300-bus test systems with high precession. The test results have been compared with the same of popular conventional solution methods. The method has also been tested under different practical security constraints. The test results presented reveal the superiority of the proposed method.