Dynamic Behaviour of Industrial Measuring Systems (6)

Abstract

In the first three sections of the Part IV, the author had described the method of graphical calculation of the dynamic error I10. (Keisoku, Vol. 5, No. 4) This paper, section 4 of the Part IV, also presents a method of evaluation for the typical recording instruments which had been classified in Part I. When the Recorder receives the periodic input and the spectrum density of input signal Gi(ω) is known, it will be most reasonable to make RMS error minimum. The RMS error is given by the following equation
where Y₀(jω) is the transfer function of measuring system and the delay time t0 should be decided to make RMS error minimum. Fig. 3 shows the method of graphical calculation of the error vector |1-Y₀(jω)e^jωt0| for the typical periodic input such as rectangular wave. Figs. 2, 5, 7 and 8 show the some examples of the dynamic behaviour for the specified periodic input. Table 4 and Figs. 1, 4, 6 and 9 represent the results of evaluation of the typical measuring systems for the rectangular, triangular, trapezoid and indented input waves θi(t) by the standardized RMS error.