Concept reference
A system curve answers what head the piping requires at every possible flow. Its intercept is the zero-flow boundary head; its rise comes from friction and local losses. The curve belongs to a stated physical configuration and condition, so changing wet-well level, pipe roughness or valve position creates a different curve.
A common approximation is Hsys(Q) = Hstatic + RQ², with head in m (ft) and R carrying units consistent with the chosen flow unit. Darcy-Weisbach is not exactly quadratic because f can vary with Reynolds number; Hazen-Williams gives a Q1.852 dependence in its calibrated use.
Fitting one parabola through a TDH point and the origin erases static head. A more subtle failure is to create the curve with one pump operating and reuse it unchanged when common-header valve paths or parallel branches differ.
§7.1 constructs curves; §7.2 turns them into operating envelopes.
Physics sets the relationships; the owner, manufacturer and governing local standard set the project criteria.