Search results
Results from the WOW.Com Content Network
Characteristic impedance is determined by the geometry and materials of the transmission line and, for a uniform line, is not dependent on its length. The SI unit of characteristic impedance is the ohm. The characteristic impedance of a lossless transmission line is purely real, with no reactive component (see below).
Looking towards a load through a length of lossless transmission line, the impedance changes as increases, following the blue circle on this impedance Smith chart. (This impedance is characterized by its reflection coefficient, which is the reflected voltage divided by the incident voltage.)
In the lossless case, it is possible to show that = + + and = + where in this special case, is a real quantity that may depend on frequency and is the characteristic impedance of the transmission line, which, for a lossless line is given by = and and are arbitrary constants of integration, which are determined by the two boundary conditions ...
Looking towards a load through a length l of lossless transmission line, the normalized impedance changes as l increases, following the blue circle. At l=λ/4, the normalized impedance is reflected about the centre of the chart. Standing waves on a transmission line with an open-circuit load (top), and a short-circuit load (bottom).
The characteristic impedance or surge impedance (usually written Z 0) of a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line; that is, a wave travelling in one direction in the absence of reflections in the other direction. Alternatively and equivalently it can be defined ...
The lossless line approximation is the least accurate; it is typically used on short lines where the inductance is much greater than the resistance. For this approximation, the voltage and current are identical at the sending and receiving ends.
Two approximations can be made to simplify things: assume a lossless Transmission Line (a decent assumption as very low resistance conductor is typically used) and neglecting any capacitance on the line (a fair assumption for 200kV lines and lower). This reduces the Line impedance to just a reactance, and results in the real and reactive power ...
Heaviside's model of a transmission line. A transmission line can be represented as a distributed-element model of its primary line constants as shown in the figure. The primary constants are the electrical properties of the cable per unit length and are: capacitance C (in farads per meter), inductance L (in henries per meter), series resistance R (in ohms per meter), and shunt conductance G ...