Exact steady-state analysis in multiple-input converters applied with diverse time-sharing switching schemes

Time-sharing switching (TSS) techniques are usually utilised in multiple-input converters (MICs) to manage power sharing among inputs as well as output-voltage regulation. The two most-commonly-used TSS schemes in practical MIC applications are trailing-edge modulation (TEM) and interleaved dual-edge modulation (IDEM), both of which containing abundant significant information on conduction sequence. Steady-state analysis and computation help understand MICs´ behaviour, being of high significance in both principal and practical researches. This study exhibits a general and exact methodology for computing and synthesising analytical expressions in a steady state of any kind of MIC topology, based upon analysis of segmented waveforms of common inductor current and output capacitor voltage. The derivation results are of high accuracy and generality, applicable for scenarios with arbitrary number of inputs in either continuous conduction mode or discontinuous conduction mode, and applied by either TEM-based or IDEM-based TSS schemes. Analytical and derivation details are addressed to the issues of multiple-input buck converters, along with general procedures established for other MICs topologies, for example, multiple-input buck-boost converters and multiple-input single-ended primary-inductor converters. Case study on a dual-input buck converter prototype, considering power dissipations and voltage drops on its components, is put forward for theoretical verification.