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As derived, the equation for total average power at any point along the
line contains the term |fE1|^2, which is the square of the magnitude of the forward voltage at that point. It might be more useful to replace fE1 with a value which doesn't vary with position along the line, such as fE2, the forward voltage at the load. The substitution is: |fE1|^2 = |fE2|^2 * exp(2 * ax) which gives the alternate formula P1 = (|fE2|^2 / |Z0|) * (exp(2 * ax) * (1 - rho^2 * exp(-4 * ax)) * cos(delta) + rho * (2 * sin(delta) * sin(2 * bx - 2 * psi))) And, subtituting values for "forward power" and "reverse power": P1 = fP - rP + (|fE2|^2 / |Z0|) * rho * 2 * sin(delta) * sin(2 * bx - 2 * psi). Roy Lewallen, W7EL Roy Lewallen wrote: Here's the calculation of total average power P1 at any point on a transmission line. The point on the line is called point 1, and the location of the load is called point 2. The distance between them is x. . . . = (|fE1|^2 / |Z0|) * ((1 - rho^2 * exp(-4 * ax)) * cos(delta) + rho * exp(-2 * ax) * (2 * sin(delta) * sin(2 * bx - 2 * psi))) Subtituting values for "forward power" and "reverse power", we have: P1 = fP - rP + (|fE1|^2 / |Z0|) * rho * exp(-2 * ax) * 2 * sin(delta) * sin(2 * bx - 2 * psi). . . . |
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