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i LIST OF FIGURES  ii VARIABLE DEFINITIONS  iii 1.0 INTRODUCTION  1 1.1 Purpose  1 1.2 Procedure  1 2.0 CIRCUIT ANALYSIS  2 2.1 Basic Rectifier Operation  2 2.2 The Commutation Circuit  2 3.0 THE MATHEMATICAL SOLUTION  3 3.1 Solution of the Fundamental Differential Equation  3 3.2 Circuit Constraints and Final Solution For the Commutation Angle  4 3.3 Derivation of the DC Voltage Equation  5 4.0 CIRCUIT CHARACTERISTICS AND CHECKS  7 4.1 A Mathematical Check  7 4.2 A FORTRAN Solution and the Effect of the x/r Ratio  7 4.3 Phase Shifted Rectifier Circuits  8 5.0 CONCLUSIONS  10 FIGURES  11 APPENDIX . FORTRAN Listing and Outputs  19 RE;FERENCES  27

THE ALTERNATING CURRENT POWER SYSTEM X/R RATIO AND ITS EFFECT ON THREE PHASE BRIDGE RECTIFIER OPERATION