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If this is changed, for example, if a different process temperature is required, the controller has to be re-tuned to achieve optimum control. Generally, the working point should lie in the range from middle to upper third of the transfer function at full power. A working point in the lower third is less satisfactory, because of the large excess power. Although the desired value (setpoint) is reached more rapidly in this case, the controllability is made worse. A working point in the upper part of the characteristic is also unsatisfactory, due to the lack of reserve power and resultant slow stabilization, and is also unsatisfactory from the point of view of disturbances.

In general, they are not valid for other working points; in non-linear processes, a new set of values must be determined for each different working point, since the controller setting depends on the process parameters. In such processes the action of the controller is only optimized at the working point of the process for which the values were evaluated. If this is changed, for example, if a different process temperature is required, the controller has to be re-tuned to achieve optimum control.

Over a period of time the temperature of the heating element and the probe come closer and closer together; the temperature increases at a lower rate and approaches a final value (see Fig. 23). Fig. 04 37 2 The process As an analogy, consider two pressure vessels which are connected by a throttle valve. In this case, the air must flow into the first vessel initially, and build up a pressure there, before it can flow into the second vessel. Eventually, the pressure in the first vessel reaches the supply pressure, and no more air can flow into it.

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