Question

QUESTION 7 An electronie P1 Proportional-Integral temperature controleris at steady state with an output of 8 mA such that the set pont equals the seady a lemperature. All the error signal to the controller is increased to 10 m ll the controle sellings are Ke 2 (dimenskis), -2 minwhat will be the ou put mA signs in deviation vanablos) from the controller after 2 minutes? [p-2mn

Answer 1

Proportional Integral (PI) Controller e(t) » G + Ke ECt) + ke ſect) dt Trü Ile) dt . P Action + Î Action In terms of Deviation Variables, c'(t) = Ke Elt) + Ke Selt) at E(s) "TE of PI Controller"

where Elt) = Euros Ke z bain of controlle Z = time constant G = Steady state Outfut 4 = Output after time t. ü cost > MP, In the beiven Question, Steady state outfut, G = BMA Controller lain, ke 22 une ConAtom, น 2 ปี ทุน After time, tz 2 minutes (lt) is the deviation Variable C's): €0) [[i++] E(s) » Yes cls) ke taking Inverse Laplace, c'lt) . Ke + keitto

on substituting c'lt) elt) ? 2 + 2 * 2 minutes gminutos | C'Lt) = 4 mA | Interms of Deviation Variable In terms of Output Variable (lt) 2 10mA - 4 MA | (lt) ₂ 6mA