Where mutually recursive data types are used in programming languages, etc., mutually recursive functions are usually required. Mutually recursive functions are also quite common for non-mutually recursive types. Reasoning about recursive functions requires some form of mathematical induction but there have been difficulties in adapting induction methods for simple recursion to the mutually rec...

This paper presents a novel method to calculate the reference source current and the referencecompensating current for shunt active power filters (SAPFs). This method first calculates theamplitude and phase of the fundamental load current from a recursive algebraic approach blockbefore calculating the displacement power factor. Next, the amplitude of the reference mains currentis computed with ...