Tracing Subsystem Characteristic Curves By Using A Hardy Cross Algorithm With Switching-Parameters

The mine characteristic curve represents the relation between the airflow in a system and the pressure drop across the system. In a single fan system, this relation can be easily drawn by assuming different values of the airflow and calculating the corresponding pressure drop according to Atkinson’s law. In a multiple-fan system this cannot be done for each fan simultaneously. However, an alternative mathematical method for plotting subsystem characteristic curves on subsystem quantity coordinates is outlined here that achieves this objective. The Hardy Cross algorithm has been combined with a switching-parameters technique and has been used to trace subsystem characteristic curves. An example using four fans in a complex network is presented here. This example illustrates the nature of the problem and the difficulty of detecting unstable conditions in this type of network.