Energy Systems Opt - Chapter 4.1 to 4.11

Describe the dc resistance of a conductor at a specified temperature T:

• State the equation

  • describe its components

Describe the 4 factors that conductor resistance depends on:

Solve

Describe the conductance of a transmission line:

• the type of power loss

  • its origins

Describe the inductance of a solid cylindrical conductor:

• Describe how the inductance of a magnetic circuit with constant permeability can be determined

• derive the equations for:

  • internal inductance

  • external inductance

  • total inductance due to both external and internal inductance

  • inductances of an array of magnetic conductors

Describe the inductance of wires:

• derive the inductance for:

  • single-phase two wire lines:

    • inductance of each wire

    • total inductance of the circuit

  • three-phase three-wire line:

    • inductance of each wire

    • describe the flux and magnitude of each wire

Describe the inductance of composite conductors:

• Define what is meant by a composite conductor

• For a single-phase two-conductor line with:

  • with two composite conductors x and y

  • with N and M sub conductors respectively

  • radius rx and ry respectively

  • current I/N and -I/M respectively

• Derive equations for:

  • total flux of subconductor k linking each conductor

  • flux linkage of sub conductor k linking each conductor

  • total flux linkage of each conductor

    • rewrite this using Roman numeral form

  • Inductance of each conductor

  • total sum of inductances

• State what is meant by GMD and GMR

Solve

Solve

Describe the inductance of composite conductors:

• Define what is meant by a composite conductor

• For three-phase lines with:

  • stranded conductors

  • equal phase spacing

  • transposed where each line occupies a phase for a 1/3 of the line

  • Distances D12, D31 and D23 between each line

• Describe what is meant by transposition

• Derive:

  • the flux of each phase at each position

  • average flux of each phase

  • average inductance of each phase

  • modulus of the distances

  • average inductance of each phase with modulus of the distances

Solve:

Describe bundling:

• why we do it

• draw a digram of EHV bundles with:

  • 2 conductors

  • 3 conductors

  • 4 conductors

• Describe how to calculate the inductance of each bundle config

  • derive the equation for inductance

Describe series impedances of a three phase line with neutral conductors and earth return:

• Describe the convention by which we derive equations from

• Derive the equations for:

  • flux linking overhead conductor k

    • matrix format

    • definition of componenets

  • the matrix equations of th eimpedanc’s

• draw circuit representations of the series phase phase impedances:

  • complete

  • simplified

• matrix equations describing the circuit

• 
  

Describe the electric field and voltage of a solid cylindrical conductor:

• State Gauss Law

• Derive the equations for:

  • voltage between two conductors k and i

Describe the capacitance of a single-phase two wire line and three phase three wire line with equal phase spacing:

• Single phase two wire line:

  • derive equations for:

    • capacitance between conductors

    • voltage between each conductor:

    • capacitance from either the line to grounded neutral

• Three-phase theree wire lien:

  • derive equations for:

    • voltage between each conductor

    • LL voltages in terms of LN voltages

    • capacitance to neutral per line line length

• Draw circuit representations of:

  • line-to-line capacitance

  • line-to-neutral capacitance

Describe capacitance:

• three phase lines with unequal spacing and bundled

  • how LN capacitance is obtained

  • how LL voltage is obtained

  • draw a diagram of a three phase line with conductors per bundle

  • equations for:

    • LL voltage

    • LN capacitance

    • charging current

      • single phase circuit

      • single phase of a three-phase circuit

    • Reactive power of LL capacitance:

      • by a single phase

      • total reactive power

Solve:

Solve:

Describe shunt admittances of a three phase overhead line:

• describe the assumptions/conventions used to

• derive:

  • the matrix equations of the LN voltages

  • matrix equations of the phase conductor charges

  •