This paper considers the power system load flow and develops an algorithm based on quasilinearization for solving the load problem. The load flow problem is formulated as a nonlinear programming problem. The problem is as follows: Given a power system with n+1 buses, impressed power p_i+jq_i, bus voltage e_i+jv_i, admittance elements Y_ki, determine the bus voltages.

The authors set up the nonlinear algebraic equations for the problem and proceed to find the solution vector for the bus voltages using quasilinearization. The developed formulation is clear, but the authors fail to give a reasonably large example to convince the reader that the algorithm is as efficient as shown with their small example. The comparison to the Powell algorithm [1] shows that the quasilinearization algorithm is quite efficient for the two variable problem, but the measure of efficiency that they obtained cannot always be assumed to be valid for a large problem. Quasilinearization can converge to a local minimum when the problem has a large number of variables and the initial guess is far from a global minimum. The authors do not address this aspect of the algorithm.