Homotopy Method Of Power Systerm Load Flow

The load flow calculation is the base of power system, it has a very important role on researching characters of electricity net, stability, planning, operation and so on.The load flow equations are high dimensions of polynomial equations, its solution as the solution of the load flow. Finding all global convergence methods to obtain all solutions of power flow equations for electric power systems is one of the hot spots of research.Homotopy developed nonlinear equations of the numerical method from 70s, its'features are a wide range of convergence, easy to implement parallel computing. Following results are the main work of this paper.Firstly, we make homotopy continuation method for power system load flow calculation. The initial condition of power systerm load flow can be modified and changed Jacobian matrix singularity by a new approach, it can make it into convergent range. The case study was made at special ill-conditions systerm and the validity was proved.Secondly, we make multi-homogeneous homotopy methods for power system load flow equations. We need to find the minimal-homogeneous Bezout number and construct the start system, in order to get rid of the whole or the part noconvergent traces and avoid the phenomenon of leakage solution. Finally, we use the model for the empirical research.