機械式無段変速機を使ったOn-Off制御系の持続振動

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  • Self-Sustained Oscillation of On-Off Control System with Mechanical Variable Speed Drive

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The speed and tension control of the running materials to be processed is a very important problem in textile, paper and other industries. As a large number of control devices regulating speed and tension of the running materials to be processed are needed in those industries mentioned above, these devices are required to be inexpensive and of easy for maintenance. An on-off control device is expected to satisfy these requirements. The authors have designed an on-off controller which is composed of a dancer roller, a pilot motor and a mechanical variable-speed drive. Since the pilot motor rotates in both regular and reverse directions according to the polarity of the signal from the dancer roller through a pair of relays, the problems of stability and self-sustained oscillation should be studied.<br>This device has two non-linear elements. One is the system of relays, the other is the pilot motor, the speed characteristics of which are different when it starts and stops. However, the relays and the pilot motor are combined into a single non-linear element because the speed vs, time curve is decided uniquely when the pulse-width of the output of the relay is given. Thus, the calculation of transient response and self-sustained oscillation has become possible in the time domain.<br>The following stability corndition is the result of the present study: A/B>γ0/6+β0/2<br>where A/B is the ratio of the gain of the feedback compensation to the gain of the major feedback loop, γ0 is the time constant of the speed of the pilot motor when it starts and β0 is that when it stops.

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