Siemens Module B3 ユーザーズマニュアル

ページ / 64
 
 
 
 
 
 
 
   
Automation and Drives - SCE 
 
 
 
 
T I A  Training Document 
Page 54 of 64 
  Module 
 
5. SETTING CONTROLLED SYSTEMS 
 
5.1 General 
 
Below, setting controlled systems is discussed, using a PT2 system as an example. 
T
u
-T
g
 Approximation 
The basis for the methods according to Ziegler-Nichols and according to Chien, Hrones and 
Reswick is the T
u
-T
g
 approximation.  With it, the parameters following parameters transfer coefficient 
of the system K
S
, delay T
u
 und transition time T
g
 can be determined from the system step response. 
The rules for controller adjustment that are described below were found experimentally, by using 
analog computer simulations.  
P-T
N
 systems can be described with sufficient accuracy with a so-called T
u
-T
g
 approximation; that 
means, through approximation by means of a P-T
1
-T
L
 system.  
Starting point is the system step response with the input step height K. The necessary parameters: 
transfer coefficient of the system K
S
, delay T
u
 and transition time T
g
 are ascertained as shown in the 
figure below. 
This requires measuring the transition function up to the stationary upper range value (K*Ks), so that 
the transfer coefficient for system K
S, 
 required for the calculation, can be determined. 
The essential advantage of these methods is that the approximation can also be used if the system 
can not be described analytically. 
 
   x / % 
Preface    Fundamentals     Discontinuous Action Controller     Controller Block (S)FB41     Setting the System     Appendix 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Figure:  
T
u
-T
g
 Approximation 
 
 
Wendepunkt 
K*K
S
 
T
g
T
u
 
Turning Point 
t/sec 
B3 
Issued: 02/2008                                                                                                                                     Control Engineering with STEP 7