EE 558 Midterm 3 Project

Movable Plate Capacity

This Project involves the modeling and parameter identification of an

electromechanical system, called movable plate capacity, which is shown basically

as in Figure 1.

Figure 1 Movable Plate Capacity System

In Figure1, plate “a” and plate “b” show the parallel plates of a capacitor. Plate “a” is

kept fixed and plate “b” can move along the horizontal axis. The distance between

two plates is denoted as x. The dielectric material has a dielectric constant as ε, and

each plate has an area of A. The mass of plate “b” is denoted as M and it is

connected to a spring and a damper, where spring has a spring constant of K and

damper has a damping constant of B. The capacitor is supplied with an RL network

and the source voltage is denoted as v.