1. Unit 27 Three-Phase Circuits

2. Unit 27 Three-Phase Circuits
Objectives:
Discuss the differences between three-phase and single-phase voltages.
Discuss the characteristics of delta and wye connections.
Compute voltage and current values for delta and wye connections.
Compute the amount of capacitance needed to correct the power factor of a three-phase motor.

3. Unit 27 Three-Phase Circuits
Three-Phase Advantages
The horsepower rating of three-phase motors and the kVA rating of three-phase transformers are 150% greater than single-phase motors or transformers of similar frame size.

4. Unit 27 Three-Phase Circuits
Three-Phase Advantages
The power delivered by a single-phase system pulsates and falls to zero. The three-phase power never falls to zero. The power delivered to the load in a three-phase system is the same at any instant. This produces superior operating characteristics for three-phase motors.

5. Unit 27 Three-Phase Circuits
Three-Phase Advantages
A three-phase system needs three conductors; however, each conductor is only 75% the size of the equivalent kVA rated single-phase conductors.

6. Unit 27 Three-Phase Circuits
27-2
Three-phase power never falls to zero.

7. Unit 27 Three-Phase Circuits
27-4
Three-phase voltages with 120 degrees
of phase shift.

8. Unit 27 Three-Phase Circuits
Basic Properties
Three-phase systems have either three or four conductors.
There are three-phase conductors identified as A, B, and C.
The three phases are 120 degrees out of phase with each other (360 divided by 3).
There is sometimes a fourth conductor, which is the neutral.

9. Unit 27 Three-Phase Circuits
Wye Connections
The wye, or star, connection is made by connecting one end of each of the phase windings together in a common node.
Each phase winding has a voltage drop known as the phase voltage.
The line voltage is measured from phase conductor to a different phase conductor.

10. Unit 27 Three-Phase Circuits
Wye Connections
In a wye system, the line voltage is higher than the phase voltage by a factor of the square root of 3 (1.732).
ELine = EPhase x 1.732
EPhase = ELine / 1.732

11. Unit 27 Three-Phase Circuits
Wye Connections
In a wye system, the line current is equal to the phase current.
ILine = IPhase

12. Unit 27 Three-Phase Circuits
27-6
Line and phase voltages in a wye connection.

13. Unit 27 Three-Phase Circuits
27-7
Line and phase currents in a wye connection.

14. Unit 27 Three-Phase Circuits
27-10
Vector sum of typical wye system voltages.

15. Unit 27 Three-Phase Circuits
Delta Connections
In a delta system, the line current is higher than the phase current by a factor of the square root of 3 (1.732).
ILine = IPhase x 1.732
IPhase = ILine / 1.732

16. Unit 27 Three-Phase Circuits
Delta Connections
In a delta system, the line current is equal to the phase current.
ELine = EPhase

17. Unit 27 Three-Phase Circuits
27-14
Delta system voltage and current relationships.

18. Unit 27 Three-Phase Circuits
27-15
Delta system division of currents.

19. Unit 27 Three-Phase Circuits
Three-Phase Power
Three-phase power can be computed in two ways, using line values or phase values.
VA = 3 x ELine x ILine
VA = 3 x EPhase x IPhase
Note that this is the same on wye or delta systems.

20. Unit 27 Three-Phase Circuits
Three-Phase Power
Computing watts requires using the power factor (PF).
P = 3 x ELine x ILine x PF
P = 3 x EPhase x IPhase x PF
Note that this is the same on wye or delta systems.

21. Unit 27 Three-Phase Circuits
27-18
Example #1 given values.

22. Unit 27 Three-Phase Circuits
27-19
Example #2 given values.

23. Unit 27 Three-Phase Circuits
27-20
Example #3 given values.

24. Unit 27 Three-Phase Circuits
27-21
Example #4 given values.

25. Unit 27 Three-Phase Circuits
Review:
The voltages of a three-phase system are 120° out of phase with each other.
The two types of three-phase connections are wye and delta.
Wye connections are characterized by the fact that one terminal of each of the devices is connected together.

26. Unit 27 Three-Phase Circuits
Review:
In a wye connection, the phase voltage is less than the line voltage by a factor of The phase current and the line current are the same.
In a delta connection, the phase voltage is the same as the line voltage. The phase current is less than the line current by a factor of