Phasor and Temporal Diagrams in Electrical Power-System Fault Analysis

​
phasors
temporal
show phase A
amplitude (p.u.)
I
a
0.8
phase (degrees)
θ
a
45
show phase B
amplitude (p.u.)
I
b
0.8
phase (degrees)
θ
b
240
show phase C
amplitude (p.u.)
I
c
0.8
phase (degrees)
θ
c
120
seq. neg. origin
seq. pos.
seq. neg.
seq. zero
A
B
C
AB
BC
CA
ABC
Fault's
This Demonstration uses phasor and temporal diagrams to show the effect of symmetric and asymmetric faults in a three-phase system.
A temporal diagram shows the signals in cosine form, in which it is difficult to analyze the effect of a fault in an electrical system. In such cases, the phasor diagram helps the analysis. A phasor diagram represents the cosine wave frequencies as a vector.
The symmetric decomposition of phases A, B, and C shows the effects caused in symmetrically equivalent circuits (in positive, negative, and zero sequences).

References

[1] W. D. Stevenson, Jr., Elements of Power System Analysis, 3rd ed., New York: McGraw–Hill, New York, 1975.
[2] B. Mirafzal, "Power Systems (III)." (Sep 2011)
[3] J. R. Lucas, "EE 423—Power Systems Analysis." (Sep 2011) http://www.elect.mrt.ac.lk/EE423_%20Fault_Analysis_Notes.pdf.
[4] "Protection Basics: Introduction to Symmetrical Components." (Sep 2011) http://www.gedigitalenergy.com/smartgrid/Dec07/7-symmetrical.pdf.

External Links

Fortescue's Theorem for a Three-Phase Unbalanced System

Permanent Citation

Daniel Motter, Daniel Motter
​
​"Phasor and Temporal Diagrams in Electrical Power-System Fault Analysis"​
​http://demonstrations.wolfram.com/PhasorAndTemporalDiagramsInElectricalPowerSystemFaultAnalysi/​
​Wolfram Demonstrations Project​
​Published: September 20, 2011