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Assignment MIMO control of Ferrosilicon pilot plant You are required to simulate a pilot plant that uses milled ferrosilicon to make a dense-medium bath using the 3-tank system that is laid out as below to ensure the powder is wetted completely. Each tank is 2 m wide and 3 m high. The Ferrosilicon is pumped into tank 1 by compressed air and flowrate is regulated by a linear valve (V2) whose opening must be controlled between 30% and 100% to avoid choking. When Qin flowrate is 20 litres per minute and V2 opening is 50%, the density of the slurry Qout is 2000kg/m3 . It is also known that when system is on water only, i.e. no FeSi is coming in, the tank 3 level is at its setpoint height when V1 is open at 30 litres per minute. The flow out of each tank can be modelled by F=20√????????? for flow measured in litres per minute. The flow for V1 and V2 can be modelled as F=xFmax, where x is the fraction opening of the valve. Write a report of no more than 10 pages that covers all the tasks involved. You shall include an introduction that provides a brief description about the simulation. The tasks that form part of your report are listed below. The density of the slurry can be calculated by ρslurry = 100 / [Csolids / ρsolids + [100 – Csolids] / ρwater] Where Csolids is the % of solids in the slurry
Now do the following tasks: (a) Assuming water only operation (ie no FeSi powder is added), use ZeiglerNichols open loop method to establish recommended PID parameters for the level controller; assume the tank to be running steadily at 50% level. Describe the procedure used to determine the parameters. (b) By trial and error make an attempt to improve on the parameters found in (a) and you must be able to show why your chosen parameters are better or otherwise simply confirm that the parameters in (a) are good enough. (c) While the system is running on water only with Qin=20 litres per minute, V2 is opened to 50%, show how the height and Qout are affected by this step change.. (d) Determine the RGA for controlling the level of tank 3 to 50% as well as maintaining Qout at 2000kg/m3. Using the RGA suggest the best way to pair the inputs and outputs. (e) Every hour, a spillage pump introduces a flow into Tank 2 of 10 litres per minute with 40% FeSi for 5 minutes. Show that your density control loop maintains a Qout density of 2000kg/m3 and level is maintained at 2 m. Show the level of tank 3, the outlet density and the response of the controllers over a 2 hour period.
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