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BALANCED THREE-PHASE CIRCUITS

BALANCED THREE-PHASE CIRCUITSThe voltages in the THREE-PHASE power system are produced by asynchronous generator (Chapter 4). In a BALANCED system, each of the threeinstantaneous voltages have equal amplitudes but are separated from theother voltages by a phase angle of 120. The three voltages (or phases ) areotypically labeled a, b and c. The common reference point for the threephase voltages is designated as the neutral connection and is labeled as n. We may define either a positive phase sequence (abc) or a negative phaseanbncnsequence (acb) as shown below. The three sources V, V and V aredesignated as the line-to-neutral voltages in the THREE-PHASE VOLTAGESAn alternative way of defining the voltages in a BALANCED three-phasesystem is to define the voltage differences between the phases . Thesevoltages are designated as line-to-line voltages.

phase system by defining the three-phase complex power delivered to the wye load as where Vload and Iline are the load voltage and line current phasors for an individual phase of the three-phase system with a wye-connected load. Inserting the voltage and current phasors into the complex three-phase

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