Page 593 - Mechanical Engineers' Handbook (Volume 2)
P. 593

584   Servoactuators for Closed-Loop Control




































                          Figure 31 Cross section of a two-stage electrohydraulic servovalve with a jet-pipe first stage and spool
                          second state. (Courtesy of Abex Corporation, Aerospace Division, Oxnard, CA.)


                             A cutaway diagram of a single-stage swing-plate servovalve is shown in Fig. l6.32a;a
                          cross section of the valve is shown in Fig. l6.32b. This is an industrial valve that has a high
                          dynamic response (natural frequency about four times that of the two-stage servovalves
                          mentioned earlier). However, the swing-plate valve is considerably heavier than the two-
                          stage aerospace-type valves in Figs. 30 and 31.
                             Table 8 shows typical performance capabilities of various types of servovalves.

           8.2  Mathematical Model of a Spool-Type Valve
                          Spool-type valves are the most popular due to their ease of construction. They are also easier
                          to analyze than other types of valves. Figure 33 shows a typical spool-valve configuration
                          and defines the important variables and parameters. The valve has three ‘‘energy ports’’where
                          energy or power flows from or to the environment of the valve. Correspondingly, the valve
                          can be modeled using the three mathematical equations given in functional form as follows:
                                                       Q   ƒ(x, P , P )                       (53)
                                                                m
                                                                    s
                                                        m
                                                       Q   ƒ(x, P , P )                       (54)
                                                                m
                                                                   s
                                                        s
                                                       F   ƒ(x, P , P )                       (55)
                                                        v
                                                                   s
                                                                m
   588   589   590   591   592   593   594   595   596   597   598