Deriving the Signal-to-Noise Ratio Probability of Error and Performance Measure Matrices for Distribution Line Carrier Signals Propagation (Using Bus Impedance Approach)

The automated distribution system using distribution line carrier (DLC) needs a two way communication between the various controlled terminals and the main substation. Digital data should be transmitted over the distribution power lines from the main substation to the transceivers in the distribution system and vice versa. The distribution system is a hostile medium for data transmission [i.e., high noise levels and standing wave patterns with low voltage nodes (as a result of signal reflections in the system)]. This hostility leads to low signal-to-noise ratio (SNR) locations and subsequently to high probability of bit error at these locations. The bus impedance matrix was developed for medium voltage distribution system. An actual medium voltage distribution line was tested. The actual measurements of the tested line verified the validity of the derived equations. The above mentioned line with the addition of a branch is used as an example in this paper. This paper derives (SNR) probability of bit error and performance measure transfer rate of information bits (TRIB) matrices of any DLC system starting from the bus impedance matrix.