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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.

corresponding delta load currents (IAB, IBC, ICA) according to Kirchoff’s current law. Given a balanced three-phase system, the currents flowing into the delta-connected load can be defined by The resulting phasor diagram relating the line currents to the delta-connected load currents follows the same pattern as the delta-connected source.

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