2. Mathematical Modeling of Flapper Nozzle Valve

In this section, mathematical models for the flapper nozzle type servo valve are presented. These models are derived from the fundamental governing equations and are important in the context of understanding the dynamics of the system and realizing a virtual prototype for simulations. The various dynamic phenomenon involved in the system are represented using ordinary differential equations. These differential equations are solved using Laplace Transform technique to build single input single output system models in time domain. The transfer function model thus presented represents the spool stage and the flapper stage respectively and provides a good tool to understand system behaviour under various operating frequencies and input command of various amplitudes and patterns.