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Seminar Topic on:-
SYMMETRICAL COMPONENT OF POWER
SYSTEMS
Presented By:-
Devendra Mishra
Branch:- EN-1
Roll No:-1401421020
OUTLINE OF THE PRESENTATION
INTRODUCTION
NEED FOR THE SYMMETRICAL
COMPONENET METHOD
TECHINQUES USED TO ANALYSIS
SYMMETRICAL
CONCLUSION
INTRODUCTION
A three-phase system is said to be symmetrical when
the system viewed from any phase is similar.
Thus, in a three-phase symmetrical system the
impedances of all the three phases are equal and the
mutual impedances, if any, between the three phases are
the same.
The three phase voltages(or currents) are said to be
balanced if the magnitude of the three voltages(or
currents) are equal and they separated from each other
by 120º(electrical) in phase.
When the system is unbalance the voltages, current and
the phase impedances are in general unequal. Such a
system can be solved by a symmetrical per phase
technique known as the method of symmertical
component.
This method was proposed by Fortescue in 1981
and is often called the three-component method.
According to Fortescue, An unbalance set of n
phasors may be resolved in to (n-1) balanced n-
phase system of different phase sequence and one
zero-phase sequence system.
A zero-phase sequence system is one in which all
phasors are of equal magnitude and identical angle,
PHASE SEQUENCE
Phase-Sequence of the phasors is the order in which
they pass through a positive maximum.
 Thus, a phase sequence a b c implies that the
maxima occur in order a, b, c.
If a, b, c is taken as the positive phase sequence then
a, c, b represents the negative phase sequence.
It should be noted that for both positive & negative
phase sequence, the direction of rotation of phaser is
taken to be anticlockwise
The phasor representation of three phase system
Need for the symmetrical
component analysis
Negative sequence relay in generator has helped in
protecting the generator from over heating in the
event of unbalanced loads.
The positive sequence network is used to supply the
sensing voltage to generator voltage regulators
Certain connections of CT and PT develop zero
sequence components that are used in protective
ground relaying scheme
Method of adopted for
symmetrical component analysis
Mathematically:
Va= Va0+ Va1+ Va2
Vb= Vb0+ Vb1+ Vb2
Vc= Vc0+ Vc1+ Vc2
 Va Vb Vc are unbalance set of phasor
Va1, VbVc1 are set of positive sequence phasor
Va2, Vb2Vc2 are negative sequence phasor
Va0 Vb0 Vc0 are zero sequence phasor
Vp=A Vs
Then Vs=[ adjA÷|A|] Vp
Symmetrical components of generator
Symmetrical components of
transformer
Conclusion
Power system analysis using symmetrical
component is very helpful in improving the
reliability of the power system.
The principle adopted for the analysis of
unbalanced fault system is symmetrical component
method
Any query
Thank you

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symmetrical component of power system

  • 1. Seminar Topic on:- SYMMETRICAL COMPONENT OF POWER SYSTEMS Presented By:- Devendra Mishra Branch:- EN-1 Roll No:-1401421020
  • 2. OUTLINE OF THE PRESENTATION INTRODUCTION NEED FOR THE SYMMETRICAL COMPONENET METHOD TECHINQUES USED TO ANALYSIS SYMMETRICAL CONCLUSION
  • 3. INTRODUCTION A three-phase system is said to be symmetrical when the system viewed from any phase is similar. Thus, in a three-phase symmetrical system the impedances of all the three phases are equal and the mutual impedances, if any, between the three phases are the same. The three phase voltages(or currents) are said to be balanced if the magnitude of the three voltages(or currents) are equal and they separated from each other by 120º(electrical) in phase. When the system is unbalance the voltages, current and the phase impedances are in general unequal. Such a system can be solved by a symmetrical per phase technique known as the method of symmertical component.
  • 4. This method was proposed by Fortescue in 1981 and is often called the three-component method. According to Fortescue, An unbalance set of n phasors may be resolved in to (n-1) balanced n- phase system of different phase sequence and one zero-phase sequence system. A zero-phase sequence system is one in which all phasors are of equal magnitude and identical angle,
  • 5. PHASE SEQUENCE Phase-Sequence of the phasors is the order in which they pass through a positive maximum.  Thus, a phase sequence a b c implies that the maxima occur in order a, b, c. If a, b, c is taken as the positive phase sequence then a, c, b represents the negative phase sequence. It should be noted that for both positive & negative phase sequence, the direction of rotation of phaser is taken to be anticlockwise
  • 6. The phasor representation of three phase system
  • 7. Need for the symmetrical component analysis Negative sequence relay in generator has helped in protecting the generator from over heating in the event of unbalanced loads. The positive sequence network is used to supply the sensing voltage to generator voltage regulators Certain connections of CT and PT develop zero sequence components that are used in protective ground relaying scheme
  • 8. Method of adopted for symmetrical component analysis Mathematically: Va= Va0+ Va1+ Va2 Vb= Vb0+ Vb1+ Vb2 Vc= Vc0+ Vc1+ Vc2  Va Vb Vc are unbalance set of phasor Va1, VbVc1 are set of positive sequence phasor Va2, Vb2Vc2 are negative sequence phasor Va0 Vb0 Vc0 are zero sequence phasor
  • 9.
  • 10. Vp=A Vs Then Vs=[ adjA÷|A|] Vp
  • 13. Conclusion Power system analysis using symmetrical component is very helpful in improving the reliability of the power system. The principle adopted for the analysis of unbalanced fault system is symmetrical component method