Supplementary Material: LU Decomposition Analysis-based Experimental Approach for Grid-Connected Parallel Induction Generators of Different Power Ratings for Micro-Hydro Power Plants

This supplementary material accompanies the manuscript IEEJ-2025-0499.R1 and provides detailed technical information supporting the experimental study of grid-connected parallel induction generators for micro-hydro power applications.<b>Contents include:</b><b>Algorithm S1</b>: Complete LU decomposition method for steady-state analysis of parallel-connected induction generators, including matrix decomposition, forward substitution, and backward substitution phases<b>Nomenclature</b>: Comprehensive symbol definitions for electrical parameters, system variables, and mathematical notation<b>Generator Specifications</b>: Rated parameters for two induction generators (2.2 kW and 5.5 kW) including voltage, current, power factor, and connection details<b>Equivalent Circuit Parameters</b>: Detailed electrical parameters (resistances, reactances, impedances) determined through IEEE Standard 112 test procedures<b>Electrical Phenomena Clarification</b>: Technical definitions and distinctions between inrush current and circulating current during grid connection eventsThis material supports the main manuscript's analysis of load distribution, synchronization mechanisms, and steady-state performance of parallel-operated induction generators in micro-hydro power systems.