CONVERGENCE OF NEWTON METHOD IN NONLINEAR NETWORK ANALYSIS

The convergence of Newton method in nonlinear network analysis is disc ussed. It is shown that formulating the nonlinear edge flow resistance s in terms of edge flow rates (Flow method) or corrected loop flow rat es (Loop method) gives better convergence than the nodal head or press ure formulation (Node method). This evaluation is based on the estimat ion of the magnitude of the radius of attraction for the Newton method . Our result applies to both water and low pressure gas networks.