ABSTRACT
The equivalent Circuit of a generic transmission line in monochromatic single frequency operation is shown in Figure 15.1 [1-3], where Z ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1143.tif"/> is a series impedance per unit length of the transmission line (Ω/m) and Y ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1144.tif"/> is a shunt admittance per unit length of the transmission line (S/m). For a uniform, nonlinear transmission line, either Z ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1145.tif"/> or Y ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1146.tif"/> or both Z ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1147.tif"/> and Y ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1148.tif"/> are functions of the transmission line voltage and Current, but both Z ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1149.tif"/> and Y ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1150.tif"/> are not functions of location on the transmission line. For a nonuniform, linear transmission line, both Z ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1151.tif"/> and Y ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1152.tif"/> are functions of location, but not functions of voltage and Current on the transmission line. For a nonuniform and nonlinear transmission line, both Z ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1153.tif"/> and Y ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1154.tif"/> or Z ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1155.tif"/> or Y ˙ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/eq1156.tif"/> are functions of the voltage, the Current, and the location on the transmission line. Equivalent Circuit of a generic transmission line. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315219165/c599d0f6-4226-4b57-b64e-a949fcede947/content/fig15_1.tif"/>
