Pumping Stations: Solving Algorithm with Inverse Functions

The problem of pumps connected in parallel can be easily solved by means of graphical method, but it becomes very time consuming when dealing with multiple scenarios. An analytical approach offers the possibility of implementing a software program that can significantly reduce this time and also adds further features. The mathematical algorithm used is dealing with a non-linear equitation system and with polynomial fitting functions. Since the presented algorithm assume that every physical measure is expressed in SI units, then the unitless values of flow rates are at least 10-3 magnitude order compared to othervalues (pump head for example). This in turn leads to very poor fitting polynomials and the end results are far from the truth. The key for solving this particular issue resides in constructing the inverse functions of H(Q) and at the same time the inverse for the system characteristic.