Sequences & Reference Transformations of Three Phase Systems Mahdi Izadkhast
Learning Objectives I a 1 • What are the positive negative zero sequences for the unbalanced three phase I I c 1 b 1 systems? • What is the alpha-beta transformation and when it is used? • What is a phase locked loop?
Unbalances
Sequences I I I a 2 I I a 1 a 0 b 0 c 0 I I I I b 2 c 2 c 1 b 1
Sequence Representation
Three-Phase Conversion to Sequence
Alpha-Beta Transformation é ù é ù - 1 - 1 v a ê ú 1 ê ú ê ú a , b ( t ) = 2 2 2 ê ú v v b ê ú ê ú 3 3 3 ê ú - ê ú 0 v c ë û ê ú ë û 2 2
Phase Locked Loop (PLL) Control system that generates an output signal whose phase is related to the phase of an input signal
Summary I I a 1 a 2 I I I c 0 b 0 a 0 I I I I c 1 b 1 b 2 c 2
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