Preliminary Automatics Course

Chapter 10. Double inertial unit
Chapter 10.1 Introduction

Fig. 10-1.
Double inertial unit

Chapter 10.2 Potentiometer as x(t) and bargraf  as y(t)
Call Desktop/PID/01_podstawowe_człony_dynamiczne/05_dwuinercyjny/01_2_inercyjny_bargraf.zcos

Fig. 10-2
Double inertial unit as 2 serial connected  inertial units.
Click “Start”

Fig. 10-3
Swing the slider up to +1. The signal x(t) is a step type now. You observe that the initial speed isn’t  maximal as in the inertial unit!
Swing the slider up to +1 once more and swing the slider down to 1 when y(t) speed is maximal. The signal y(t) is growing durig a short time even x(t)=-1! It’s like in the real boiler. The temperature is growing durig a short time when the input power is off!
Observe the digital meters. The y1(t) signal is anticipating y2(t) signal always.

Chapter 10.3 Signal x(t)step type and  y(t) as oscilloscope
Call Desktop/PID/01_podstawowe_człony_dynamiczne/05_dwuinercyjny/02_2_inercyjny_skok_oscyloskop.zcos

Fig. 10-4
Click “Start”

Fig. 10-5
Signal  y1(t) after the first inertion clearly puts  output y(t) ahead. The y(t) speed is maximal at near 6 sec, and not at the 3 sec as in the inertial unit.

Chapter 10.4 Signal x(t) single rectangular pulse
Call Desktop/PID/01_podstawowe_człony_dynamiczne/05_dwuinercyjny/03_2_nercyjny_impuls_prost_oscyloskop.zcos

Fig. 10-6

Fig. 10-7
Signal y(t) is growing at time 8…8.7 sec. The output y(t) is growing, though x(t)=0! There is y1(t)>y(t) at this time and that’s the reason of this phenomenon.

Chapter 10.5 Mutiinertial unit
See at Fig. 10-1. The denominator has  2 factors and this is double inertial unit.
factors–> 3-inertial unit
factors–> 4-inertial unit

Many factors–> multi-inertial unit
Many objects , especially in the chemical industry are multi-inertial units.

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