An efficient continuation method for use in globally convergent dc circuit simulation

The use of continuation methods and various homotopies used for globally convergent dc operating point simulation are discussed. A new homotopy that gives the shortest possible arc length between the initial solution and the desired operating point is introduced. In addition, it is shown that for the case where a circuit possesses multiple operating points, this homotopy allows the user to choose which operating point is found first and is guaranteed to find at least three operating points in a single analysis