“…The head loss across the network between the master pump and the booster pump was represented by: 2:h = Qd"'q, ( <; r (3) in which '"i,h is the head loss in feet, Qa is the network customer demand in Qd"'cf> ( <;) n = head loss between master pumping station and booster pumping station (ft); q" m, and n are constants exponent for network pipe head loss relation, h = kpQ"', in which h is a branch head loss, Q the flow in the branch, and kp is the pipe coefficient accounting for length, diameter, friction coefficient, and units master pump design capacity (mgd) (Qvdm = Qd in this study) booster pump design capacity (rngd) (Qpelb = Ba in this study) Qpelb, ratio of booster pump design capacity to equivalent sinusoidal amplitude of a demand schedule master pump total dynamic head (ft) booster pump total dynamic head (ft) master pump design total dynamic head (ft) booster pump design total dynamic head (ft) For proportional loading, all local demands are assumed to change in direct proportion to the total service district demand.…”