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8/3/2019 Power System Engineering Lecture 5
1/17
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Three-Phase line inductance
Symmetrical spacing
Asymmetrical spacing
Transposition
http://upload.wikimedia.org/wikipedia/commons/d/d9/Facility4508_Pylon206.JPG8/3/2019 Power System Engineering Lecture 5
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Composite condutor
an
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ac
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DI
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DI
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rI
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8/3/2019 Power System Engineering Lecture 5
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Composite Conductors
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
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Composite Conductors
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
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Composite Conductors
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
Similarly,
8/3/2019 Power System Engineering Lecture 5
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Composite Conductors
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
n strands that are electrically parallel:
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Composite Conductors
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
Substituting the values ofLa,Lb etc.
Where,
8/3/2019 Power System Engineering Lecture 5
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Composite Conductors
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
Where,
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Bundled Conductors
Extra high voltage lines corona causes problems such as
power loss, interference, etc.
The high voltage surface gradient is reduced considerablyby having two or more conductors.
It also reduces the inductance of lines by reducing voltage
drop.
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
8/3/2019 Power System Engineering Lecture 5
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Bundled Conductors
where n=2,3 ....
Where,Ds is the GMR of the conductor
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
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Line Parameters Preview
Resistance
Inductance
Inductance of single conductor
Inductance of three-phase line (symmetrical, asymmetrical
spacing, transposition)
Composite and bundled conductor
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Capacitance of a Straight Conductor
Capacitance in a transmission line results due to the potentialdifference between the conductors.
The conductors get charged in the same way as the parallel
plates of a capacitor.
Capacitance between two parallel conductors depends on the
size and the spacing between the conductors.
Usually the capacitance is neglected for the transmission lines
that are less than 80 km (50 miles) long.
However the capacitance becomes significant for longer lines
with higher voltage.
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
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Capacitance of a Straight Conductor
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
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Capacitance of a Straight Conductor
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
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Capacitance of a Single-Phase Line
Let us assume that conductor 1 carriesa charge ofq1C/m while conductor 2
carries a charge q2 C/m.
D>> r1 and r2 and ground influence
also is neglected.
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
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Capacitance of a Single-Phase Line
Let principle of superposition
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
Assume that q1 (= -q2 ) is equal to q
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Capacitance of a Single-Phase Line
http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/ui/Course_home-1.htm
Assuming r1 = r2= r
Capacitance is defined between the
conductor and neutral