Equivalent load density models for feeders based on walsh and pulse function

Two equivalent load density models based on Walsh function and pulse function for distribution networks are presented. The voltages and the power on/through both end of a feeder are used to describe the load and its distribution pattern within the feeder line. Only real time field data from feeder circuit breakers in substations and sectionalizing switches along the feeder lines are needed to obtain a satisfied analysis result. By solving the voltage drop function and the power loss function of the feeder line, characteristic values together with the corresponding similarity parameters for the eight load distribution patterns are obtained, respectively. Consequently, voltage drop and line loss can be acquired without needing the data from each load on the feeder line. Examples are also given with comparison with other approaches showing the feasibility of the proposed approach.