Phasor Diagram Analysis: Determining Leading/Lagging Relationships

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SUMMARY

The discussion focuses on analyzing phasor diagrams to determine leading and lagging relationships between two phasors: 6<-9 and 6<189. The user successfully draws the phasors but struggles with interpreting their relationships. The phase difference is calculated as 162 degrees, but the user notes a discrepancy with the answer indicating that 189 degrees leads -9 degrees by 198 degrees. The confusion arises from the conventions used in determining phase differences, particularly when angles exceed 180 degrees.

PREREQUISITES
  • Understanding of phasor representation in electrical engineering
  • Familiarity with phase angles and their measurement
  • Knowledge of circular motion concepts related to phase differences
  • Basic skills in drawing and interpreting phasor diagrams
NEXT STEPS
  • Study the conventions for determining leading and lagging relationships in phasor diagrams
  • Learn about phase difference calculations in electrical circuits
  • Explore the concept of angular displacement in circular motion
  • Review examples of phasor analysis in AC circuit theory
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Electrical engineering students, educators teaching circuit analysis, and professionals working with alternating current (AC) systems who need to understand phasor relationships.

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Homework Statement



Let's say I have
(1) 6<-9
and
(2) 6<189

I don't have a problem drawing the phasors out, however, I am having a bit of difficulty determining how to 'read' the diagram and tell how one leads/lags the other.

In the example I've given, I draw out the phasors but when it comes to determining which one lags the other I am a bit confused.

I can easily find the phase difference (351 - 189 = 162 deg).


Is there a way I can visually inspect each diagram to determine which one leads and which one lags?
 
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Dear jes, -9= 351 its ok but there is 360 degree phase diff (1 full cycle) between them. do u understand my point?

Suppose, in a perfect circular racing path, u start cycling from 0 degree and round a trip 351 degree and then one of ur frnds starts cycling from -9 degree (means ur 351 degree). At that moment u r lead of ur frnd by 351 degree.

However, ur answer of the question is:
Ans: 189 degree leads -9 degree by 198 degree (not 162 degree). (Lets check and discuss with others)
b fine.
 
Last edited:
Hmm, that's interesting, according to the answer the phase difference should be 162 degrees. I think by convention my book always takes the angle that is less than 180 degrees.

But anyway, I'm really more interested in figuring out how to look at a phasor diagram and see if one phasor leads/lags the other, I just can't quite tell at this point.
 

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