Comparison of network systems analysis methods

A comparison of two frequently used methods, namely, the Newton’s method and the Wood-Charles’ method is done. We show that the Wood-Charles’ method has no advantage compared to the Newton’s method. Both methods use linear approximation and iteration step in both of them differs quite insignificantly. We prove that in case of quadratic dependency of potential loss on flow size the methods are equivalent. Acceleration of Wood-Charles and Newton’s methods for network systems design is proposed and validated.