Determining the Range of the Power Consumption in Linear DC Interval Parameter Circuits

The paper considers the following worst-case steady-state tolerance analysis problem: given a linear dc circuit whose resistors and sources have preset tolerances, determine the range of the electrical power consumed in the circuit. It is shown that the power range sought can be computed as the range of an associated interval linear programming problem. A method for solving the latter problem is suggested whose numerical complexity is not a priori exponential. A numerical example illustrating the new method is provided.