In Short Transmission Line the effect of shunt conductance and shunt capacitance are neglected and only the series resistance and inductive reactance are to be consider. The charging current in a low voltage (i.e. short transmission line) is very-very less. Therefore, shunt capacitance is neglected. The R, L is concentrated centrally as.

Any electrical network generally has two input terminals and two output terminals. If we consider any complex electrical network in a black box, it will have two input terminals and output terminals. This network is called two – port network. Two port model of a network simplifies the network solving technique. Mathematically a two port network can be solved by 2 by 2 matrix. A transmission as it is also an electrical network, line can be represented as two port network.

###### Short Transmission Line

I_{R}=I_{s}

V_{R}=V_{S}-I_{R}Z

V_{S}=V_{R}+I_{R}Z

Then the V_{S} and I_{S} is written in matrix form as

_{ }[Vs/Is] = [ 1 z ] [ Vr/Ir ]

Then equation is written in a two port network as

[ Vs/Is] = [ A B /C D ] [ Vr/Is ]

Therefore, V_{s }= AV_{R }+ BI_{R}

_{ }I_{s }= CV_{R }+ DI_{R}

The power losses = 3 I_{R}^{2}R

The Sending end power (P_{s}) = V_{s }I_{s }cos_{S}

The Receiving end power (P_{R}) = V_{s }I_{s }cos_{R}

The efficiency of Transmission line (n) = Pr/Ps* 100 %

The regulation of the line = (Vs-Vr)/Vr * 100 %

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