Power System Engineering Lecture 5

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    Preview

    Three-Phase line inductance

    Symmetrical spacing

    Asymmetrical spacing

    Transposition

    http://upload.wikimedia.org/wikipedia/commons/d/d9/Facility4508_Pylon206.JPG
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    Composite condutor

    an

    n

    am

    m

    ac

    c

    ab

    baa

    nmcba

    DI

    DI

    DI

    DI

    rI

    IIIII

    1ln

    1ln

    1ln

    1ln

    '

    1ln102

    0

    7

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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,

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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,

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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

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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