Page 514 - Mechatronics with Experiments
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JWST499-Cetinkunt
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                                            DC P.S.
                              Control voltage
                                            Amp


                                        P                         P
                                         S
                                                                   A
                                                      P     A
                                                                     P = P  – P B
                                                                         A
                                                                      L
                                                            B
                                              P                    P
                                               T                    B




                              FIGURE 7.74: Test setup for measuring spool null position characteristics: pressure gain when
                              valve output ports are blocked.



                              The flow-pressure gain is defined as
                                                                  Q L   K q
                                                         K pq  =     =                          (7.242)
                                                                 P spool  K p

                              The output pressure under this condition reaches the supply pressure very quickly. For
                              a under-lapped spool, the output pressure reaches the supply pressure within 1 to 2% of
                              maximum current. For zero-lapped spools, the same results are achieved within about 3
                              to 4% of maximum current. The over-lapped spool has similar behavior to that of the
                              zero-lapped spool after it passes over the deadband region where the pressure gain is zero
                              (Figures 7.72, 7.74). The pressure gain of a valve around its null-position is very important
                              in servo position control applications since it strongly affects the stiffness of the positioning
                              loop against external forces.
                                   It is important to note that the null spool position is affected by the variations in supply
                              pressure and temperature. The variation in null-position as a function of supply pressure
                              and temperature is called pressure null shift and temperature null shift, respectively.
                                   At the null-position, if the valve connects the pump port to the tank port and hence
                              continues to circulate the fluid between pump and tank, even though the load does not
                              require any, it is called a open-center valve (Figure 7.3). If the valve blocks the flow from
                              pump to tank at null position, it is called a closed-center valve (Figure 7.62). An actual
                              closed-center valve still exhibits some open-center characteristics due to leakage. Notice
                              that an open-center valve can be used with a fixed displacement pump (Figure 7.3). The
                              control task is simpler, but the system is not energy efficient since it continuously circulates
                              flow in the system even if the load does not require it. A closed-center valve requires
                              a variable displacement pump so that when the valve is at null-position, the pump is de-
                              stroked to stop the flow or provide just enough flow to make up for the leakage (Figure 7.62).
                              It is energy efficient since it provides pressurized fluid flow on demand and shuts it off
                              when there is no demand. The control task is a little more complicated since both valve
                              and pump must be controlled and coordinated to avoid large pressure spikes (i.e., closing
                              the valve to null-position but keeping the pump running at high displacement will result in
                              pressure spikes in the system and will most likely blow relief valves). Because of this, some
                              degree of open-center characteristics is built into the valve, circulating a small percentage
                              of its rated flow at null-position in order to simplifiy the coordinated control of valve and
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