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The main purpose of this thesis is to derive the mathematical models of rectifier units in the AC/DC power systems and to analyze the power system of mine, the DC electrified transit railways, the HVDC transmission systems, and the power systems of DC furnaces. First of all, rectifier units were divided into controllable and uncontrollable, and classified as 6-pulse, 12-pulse, and 24-pulse. Then the characteristics of various rectifier units were investigated under both three- phase source voltage balance and imbalance conditions. Furthermore, the mathematical models of controllable and uncontrollable six-, twelve- and twenty-four-pulse rectifier units were derived under three-phase source voltage balance condition. Follows by controllable and uncontrollable six-pulse rectifier units under three-phase source voltage imbalance condition. Finally, the derived mathematical models were implemented into a simple AC/DC power flow program which was developed by Microsoft Visual Basic to study the performance of AC/DC power systems with various pulse number and the effects of voltage imbalance on the AC/DC power systems.
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