19911515 Transmission Lines1
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Transcript of 19911515 Transmission Lines1
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TRANSMISSION LINE
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18 November 2010 FKEE 2
Characteristics
It is a metallic conductor system used to transfer
electrical energy from one point to another usingelectrical current flow.
Nowadays, the transmission line is made ofparallel-conductor (copper wire) and coaxial
cable.
It consists of 2-wire line since transmission linefor transverse electromagnetic TEM wave
propagation always have 2 conductors.
The characteristic of Transmission Line aredetermined by its electrical properties :Conductivity & Insulator Dielectric Constant
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Typesof TransmissionLines
Open-Wire
Twin-Lead
Twisted-Pair
Coaxial
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Metallic transmission lines
Open-wire Twin lead
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Metallic transmission lines
Unshielded twisted-pair
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Metallic transmission lines
Coaxial cable
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Metallic transmission lines
Balanced lines have equal impedances from the two
conductors to ground
Twisted-pair andparallel lines are usually balanced
Differential, or balanced, transmission system
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IdealTransmissionLine
No losses
conductors have zero resistance
dielectric has zero conductance
possible only with superconductors
approximated by a short line
No capacitance or inductance
possible with a real line only at dc
with low frequencies and short lines this can
be approximated
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The electrical properties determine the PRIMARY electricalconstant:
Series Resistance, R
Series Inductance, L
Shunt Capacitance, C
Shunt Conductance, G
The combined above parameter is called LUMPED
PARAMETERS.
Refer to Figure 12-14 & 12-15 in the textbook for the two-wireparallel transmission line and single section transmissionline.
The transmission line characteristic is called SECONDARYCONSTANT.
The secondary constants are:
1. Characteristic Impedance
2. Propagation constant
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Two-wire parallel transmission line
electrical equivalent circuit
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The characteristic Impedance, Zo is defined as :
A transmission line must be terminated at purelyresistive load for maximum power transfer.
Zo =
Zo = for Low Frequencies
Zo = for high Frequencies
The conductance between 2 wires are determinedby the shunt leakage resistance, Rs
The load impedance, ZL must match withcharacteristic impedance, ZO
GR /
)(/)( jwCGjwLR
CL /
CharacteristicImpedance
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Refer to figure 12-16 for Characteristic impedance
of a transmission line of infinite section.
The characteristic impedance can be calculated
by usingOhms Law:
Zo = Eo/ Io
where Eo is source voltage andIo is transmission linecurrent
The characteristic impedance also can becalculated by its physical dimension:
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Any transmission line that is terminated is apurely resistive Load in infinite line:
Zi= Zo
No Reflected Wave
V & I in phase
Maximum Power Transfer from source to load
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Propagation Constant is used to express the
attenuation (signal loss) and the phase shift perunit length of a transmission line.
It is defined as :
Where K = propagation constant (unitless) = attenuation coefficient (nepers per unit
length)
= phase shift coefficient (radians per unit
length)
))(( jwCGjwLR !K
PropagationConstant
K = + j
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Transmission Lines Losses
Conductor LossesIncreases with frequency due
to skin effect
Dielectric Heating LossesAlso increases with frequency
Radiation Losses Not significant with good
quality coaxproperly installed
Can be a problem with open-
wire cable
Coupling Losses
Corona
Skin effect
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Transmission Lines Losses