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A numerical method that uses linear graph theory is presented for both steady state, and extended period simulation in a pipe network including its hydraulic components (pumps, valves, junctions, etc.). The developed model is based on the Extended Linear Graph Theory (ELGT) technique. This technique is modified to include new network components such as flow control valves and tanks. The technique also expanded for extended period simulation (EPS). A newly modified method for the calculation ofdoi:10.1016/j.aej.2012.11.005 fatcat:voo3hqhrmbfe7eofljl47qpgpi