Use Ltspice to design a single phase generation to distribution transmission net

Question

Use Ltspice to design a single phase generation to distribution transmission network. We have a 0.5MW single phase wind turbine generator that produces 11KV. Design a transformer to step this up to 132KV using a primary inductance of 100H. (Show Math) Design a transformer to step it down 12ov using a primary inductance of 100H and terminating in a 1 ohm resistor. (Show Math) Design the entire system with a lossy transmission line to transport the energy using the Turkey ACSR line at 25 Degrees C Simulate and graph: Pout Pin Step-up of transformer 1 Step-down of transformer 2 Design the entire system with a lossless transmission line to transport the energy using the Turkey ACSR line at 25 Degrees Simulate and graph: Pout Pin Step-up of transformer 1 Step-down of transformer 2 Using the generator from and transformers from l, design a 3-phase network consisting of the generation and transformer to step up the voltage. Simulate and graph: Step-up of transformer 1

Explanation / Answer

The Distortionless Line Recall that the phase velocity v p (i.e., propagation velocity) of a wave in a transmission line is: p v = where: { } { } ( R j L)( G j C ) Im Im + + = = Thus, for a lossy line, the phase velocity p v is a function of frequency (i.e., ( ) p v )—this is bad! Any signal that carries significant information must has some non-zero bandwidth. In other words, the signal energy (as well as the information it carries) is spread across many frequencies. If the different frequencies that comprise a signal travel at different velocities, that signal will arrive at the end of a transmission line distorted. We call this phenomenon signal dispersion. Recall for lossless lines, however, the phase velocity is independent of frequency—no dispersion will occur! 2/21/2005 The Distortionless Line 2/6 [ ] 1 v p R G 0, 0 LC = == Of course, a perfectly lossless line is impossible, but we find phase velocity is approximately constant if the line is low-loss.

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