Stability Criteria for A Velocity Servo System whose D. C. Tachometer Generator shows Rippled Output

概要

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A velocity servo system using D. C. tachometer generator as a velocity sensing device is analyzed, with respect to the most simple case whose differential equation for the system is of second order. Ripples involved in the output voltage of the generator is taken into consideration, whose frequencies are directly proportional to the angular velocity of the system concerned. The stability criteria are studied with respect to parametric oscillations caused by the ripple voltage.<BR>Equation for perturbed variable is derived as to the angular velocity, neglecting periodic components of angular velocity of stationary state. The equation is transformed to the Mathieu equation, and the stability regions are expressed as functions of the system constants and ripple coefficient.<BR>It is concluded that the instability of this sort is not likely to occur in practical cases, as far as the system concerned is approximated by the second order differential equation. It is due to the stability criteria that the system, for example, is always kept in stable state, whose relative damping coefficients greater than 0.03, if the ripple coefficent is of the order ten percent.
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