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Q1: Consider a weight held in place by a spring. Initially suspended at rest, the height ofThe spring constant is kThis represents how "stiff" the spring is and is constant. The frictional losses areisthe weight is x=0The mass of the weight ismcharacterized by the constant b . The force applied to the weight after t=0 f(t) . This leads to the ODE m \frac{d^{2} x}{d t^{2}}+b \frac{d x}{d t}+k x=f(t) 2. (65 points) Imagine the spring is vertical. The weight is held by a platform atx=0 initially. If m=0.1kg , b=0.1 kg/ s , and k=1.0 kg/s . The platformis removed at t=0 O What are the initial conditions for this system? b. (15 points) What is the new steady-state position? That is, where willt - o ? Show this using the final-value theorem.the mass settle as c. (15 points) What is the maximum distance the mass will move from itsinitial position? (Hint: what is the force applied to the weight?)(15 peints) Whatvalue vwill recuultming d. (15 points) What spring constant value will result in the system comingto (and remaining within) 1% of its new steady-state position withoutovershooting that value as quickly as possible? e. (15 points) Imagine the spring system is now horizontal.represents how far the spring is from its resting position. If 1 N of forceis instantaneously transferred to the weight (in thedirection)described above att=0 ,what is the response? That is, what isx(t) when the weight is flicked with 1 N of force? Assume the weightis only free to move in one direction.See Answer
Q2: 3. (15 points) Prove that a second-order system that results from two first-ordersystems in series can never be underdamped.See Answer
Q3: In the process presented in Figure Q1, tomato pulp is heated as it passes through a steam heat exchanger and then enters an evaporator where the water boils off. The purpose of this process is to produce tomato paste, which has a lower water content than the pulp. As a chemical engineer, you are tasked to control the liquid level and temperature in the evaporator.Considering this information, answer the following: (a) Define the process variables and the manipulated variables, as well as possible disturbances. (b)Propose feedback control loops by sketching a schematic diagram. (c) Propose any additional features in order to assure the safe operation of the process. Illustrate these features using a schematic diagram.See Answer
Q4:Question 1 An engineer uses a temperature sensor mounted in a thermowell to measure the temperature in a CSTR. The temperature sensor behaves as a first-order process with a time constant of 3 seconds, and the thermowell behaves as a first order process with a time constant of 9 seconds. Using Matlab: (a) Plot the open-loop response of the system to a step-change in the CSTR temperature. Comment on whether the response in under or over damped (b) Plot the closed-loop response of the system for proportional only control with a controller gain of unity. (c) The engineer notes that the measured temperature has been varying sinusoidally between 180 and 186°C with a period of 20 seconds for at least 10 minutes. Determine the likely temperature fluctuation in the CSTR contents to the nearest degree.See Answer
Q5:I Preamble Noise Disturbance in Control Systems Control engineering, as one of the cornerstones of automation, has contributed enormously to the development of modern industrial society; and a control system is useful for regulating the behaviour of industrial systems. In this assignment, you are required to analyze the following control system in Figure 1 where X(s) is the signal input, N(s) the noise input and Y(s) the system output. G₁(s) = K G₂ (s) = G3(s) = G₁(s) = H₂(s) = 1 s+2 X(s) Figure 1 The gain values for the respective forward and feedback paths are given: 2 s+4 4 S H₁(s) = 1 10 s + 10 H3(s) = 2 G₁ G₂ H₂ H₂ N(s) G3 H3 G4 Y(s) Task 1: Analytically determine the signal and noise transfer function of the control system in Figure 1. If x(t) is a unit step input then how do the signal and noise vary at the output for any change in the value of K as t → ∞o. Task 2: Using Matlab determine the signal and noise transfer function of the control system in Figure 1 assuming K = 1. Indicate clearly the Matlab code applicable to appropriate block reduction. Plot the step response using Matlab to verify the final steady-state value obtained in Task 1 y(t) as t→∞o for signal and noise.See Answer
Q6:1 Preamble The aim of this coursework is to enhance your understanding of the dynamics of multi-degree of freedom systems to compliment what you have learnt in the EG5027 Dynamics and Control module. 2 Assignment Tasks (1) Derive the mass and stiffness matrices for the vibrating system shown in Figure 1. (2) Show that the natural frequencies and mode shapes of the coupled system are: f₁ = 1.24 Hz, f₂ = 2.59 Hz -0.89 = { 056 )}. {21 = {-000} {y} = 150 N m-1 www 80 Nm-1 2 kg (3) Write a Matlab program to compute the natural frequencies and mode shapes of the coupled system and compare the results obtained with the values given in Part (2). [20%] U/1 140 Nm wwww 1 kg Figure 1: A 2DOF vibrating system. [10%] U₂ [40%] [30%]/n3 Assignment Submission Format You are required to a PDF file of no more than four A4 pages showing: (a) The derivation of the mass and stiffness matrices of the system. (b) The derivation of the natural frequencies and mode shapes of the system. (c) The listing of your Matlab® script for calculating the natural frequencies and mode shapes of the system (Note: you should list the code within the PDF file as plain text, you are not required to submit your M-file.) (d) Comment(s) on the results obtained in (b) and (c). The page layout should be portrait, single column and margins should not be less than 20 mm. The file should be typeset with a minimum font size and linespacing of 12pt and 1.5, respectively. Equations prepared using technical typesetting software, such as LATEX or Math Type, are preferred, but if you are not able to do so, high-quality scanned clear and legible hand-prepared equations are acceptable. No title page is required for the PDF file. Pages of the file should be numbered consecutively and shown on the centre footer of each page. Your student number must be clearly shown on the right header of all pages. The PDF file should have the module code, your student number, assignment identifier as the filename; and 'pdf' as the extension, in the form of EG5027_u1234567_CW1R.pdf.¹See Answer
Q7:Use a trial-and-error approach in Matlab to determine the ultimate controller gain Kcu and the ultimate period Pu for control of a FOPDT process with a deadtime of 30 seconds and a process time constant of 50 s. Use the Ziegler-Nichols rules to tune a PI controller, providing Kc and reset time. Plot (a) the open loop response to a step-change in setpoint without control (b) the closed loop response to a step-change in setpoint without control, and (c) plot the closed-loop response to a step-change in setpoint with the ZN tuned controller.See Answer
Q8:The process described by the transfer function GP(S) Kp (T₁S+1) e-TDS (T₂S + 1)(T3S + 1) Gp(s) = is controlled by a P controller with an arbitrary gain of Kc. a) If Kc = 2; Kp = 5; T₁ = 2; Td = 1; T₂ = 2; T3 = 3 determine whether the closed-loop response will be stable using frequency response techniques. What is the limiting value of the controller gain to ensure stability? b) For the following scenarios, generate the Bode plots for the open- loop behavior using Excel. Comment on the effect of the parameter changes on plots 2, 3 and 4 using plot 1 as the reference. 1. 2. 3. 4. Kc = 2; Kp = 5; t₁ = 0; TD = 0; T₂ = 2; T3 = 3 Kc = 2; Kp = 5; t₁ = 0; TD = 5; T2 = 2; T3 = 3 Kc = 4; Kp = 5; T₁ = 0; TD = 0; T₂ = 2; T3 = 3 Kc = 2; Kp = 5; T₁ = 0; TD = 10; T₂ = 2; T3 = 3 c) Using the same general transfer function, plot the Nyquist plots using Excel for the following parameters. Comment on the behavior. 1. Kc = 2; Kp = 5; T₁ = 1; TD = 0; T₂ = 2; T3 = 3 2. Kc = 2; Kp = 5; T₁ = 3; TD = 0; T2 = 2; T3 = 3See Answer
Q9:Question 4 Two thermocouples are placed in an air stream whose temperature is varying sinusoidally. The temperature responses of each thermocouple are recorded for a range of frequencies, with the phase angle between the two measurements tabulated below. The standard thermocouple is known to have first-order dynamics with a time constant of 0.15 minutes when operating in air. Show the unknown thermocouple also displays first order behavior and determine its time constant. After approximately 30 seconds the standard themocouple shows a sinusoidal variation in air temperature between 96 and 104 degrees Celcius, at a rate of two cycles per minute. What error will the standard thermocouple report in this instance if left to measure the air temperature indefinitely? CHEM ENG 4050: Advanced Chemical Engineering Advanced Control Table 1. Thermocouple phase difference for Question 4. Frequency (cycles/min) 0.05 0.1 0.2 0.4 0.8 1.0 2.0 4.0 Phase Difference (deg) 4.5 8.7 16.0 24.5 26.5 25.0 16.7 9.2See Answer
Q10:Question 5 Determine the controller gain (Kc) for a proportional-only feedback controller for the system comprising the following elements that ensures a gain margin of at least 2 and a phase margin of at least 30°. Plot the controlled and uncontrolled closed-loop response of the system to a unit-step change in set- point. Gc= Kc; Gp = 50 30s +1' G₂ = 0.016 3s +1' Gm = 1 10s + 1See Answer
Q11:Question #4 A system of three cylindrical tanks holding liquid is arranged as shown in Figure 1. Fint Fina Tank #1 R₁ F₁ h₁ h3 h₂ h₁ F₁ = R₁ Tank #2 R₂ F₂ Tank #3 Figure 1- Schematic showing layout of tanks. For all three tanks you can assume that the outlet flow rate is equal to the height in the tank divided by the valve resistance, i.e.: h3 hz F₂= F3: R₂ R3 a. Clearly derive the transfer function that relates the height in tank #1 (hi) to the inlet flow to the tank (Fin). [4 marks] b. Tank #1 is 0.5 m in diameter and the value of R₁ is 200 s m². At steady state the liquid height is 1 m. What is the flow rate of liquid entering the tank (i.c. what is Fin,1)? [1 mark] c. Calculate the gain and time constants for tank #1. [2 marks] d. Derive the transfer function that relates the height in tank # 3 (ha) to the flow entering the system (i.e. to Flis and F2.in). [5 marks] c. Tank #2 has the same diameter as Tank #1, but R₂ = 0.5R₁. Tank #3 has double the diameter of Tank #1 (i.e. it is 1 m in diameter), and R3= R₁. Fin1 = Fin2 = 0.01 m³ s¹. If the system is at steady state what is the liquid level in each of the tanks? [3 marks]See Answer
Q12: ACS219 Process Control Group assignment Payam Soulatiantork October 2023 1 Introduction The assignment is linked to chemical engineering applications related to control scheme design, instru- mentation, control strategies and looking at the control of selected systems. Students work in groups of four students to produce a number of separate posters, one for each case study. The main purpose of each poster is to demonstrate the importance of a given control strategy or design in the context of chemical engineering. The poster should include context and numerical illustrations and, for high marks, should also include evidence of analysis and independent systematic design. A typical case study could either: (i) focus on the efficacy of different strategies for controlling a given system, or (ii) the efficacy of a given strategy for tackling particular scenarios, perhaps using several systems to illustrate. Most likely numerical evidence will be produced using Matlab or TSC although other software tools may be used. This is 45hr work per student and thus to achieve good marks, the submissions must not be superficial. Typical marking guidance is provided at the end for information. As this is a group work assignment, each group will also need to submit, as a group, an agreed peer assessment of the contribution of each group member with some explanation and evidence where the marks are not awarded equally. In order to ensure no group member is disadvantaged or excluded, groups will have a private discussion board on Blackboard they can use to communicate dates, locations and summaries of core meetings as well as to share interim documentation. The groups are self-enrolled so you can choose the students you want to work with on your project. Some possible scenarios are listed over the page, but students should feel free to explore other areas they find interesting which fall within the remit. Some good resources including some Matlab files are also available on the BB page -> Group assignment for ACS219 -> Coursework useful material. • Students are reminded that the substantive work submitted should be their own. Where resources have been used from elsewhere, these must be clearly and explicitly referenced. • Students are reminded of University policy on unfair means and moreover should ensure that any resource they use is fully cited. http://www.shef.ac.uk/ssid/exams/plagiarism. • Groups can meet with staff during the tutorials and lectures to discuss any queries. Please see staff immediately if special circumstances are affecting your performance http://www.shef.ac.uk/ ssid/forms/special. Group feedback will appear on Blackboard after marking is complete for the whole class. 2 Submission details Posters are submitted in soft copy onto Blackboard through the group assignment link. The deadline is the Friday of week 12 of semester 1, 15 December 2023 at 5pm. 3 Feedback Group feedback will appear on Blackboard after marking is complete for the whole class. Also, in a single hour lecture on Friday of week 11, the students will get a chance to bring their posters along and get some interim feedback. 1 4 A table of potential themes Case study scenario Low order systems for use in the case studies Systems in series and higher order dynamics Multi-input-multi- output systems Impact of constraints and actuation choices Impact of measurement and delays Advanced control strate- Develop an awareness of some alternative control strategies and why these gies are deployed in industry such as: cascade, feedforward, selective control, split-range control, ratio control, model predictive control, smith predictors and time delays, anti-windup strategies, inferential control, fault-tolerant control, optimal control, robust control, sequence control, on-off control. Discrete control Fault tolerant con- trol/safety Impact of design on con- trol performance Impact of uncertainty PID tuning Possible content 1st order in series, distillation column, multi-tank system, thermocouple delay, power generation, stirred tank with cascade. Valve sizing Higher order systems are less easy to control with PI. Students can explore through several case studies the consequences of more involved dynamics such as multi-1st-order in series, non-min phase. (Multi CSTR, multi-tank, distillation column, etc.) Discuss the challenges of controlling systems with interacting dynamics. Illustrate with case studies such as distillation columns and oil fired power generation. Use case study examples to demonstrate how constraints limit performance and impact on safety. Brief discussion of how these might be handled in practice (say with PID and predictive control). Use case studies to analysis the impact of actuator choices on controllability, constraint handling and performance. Consider the consequences on control performance (and safety) of poor measurement such as accuracy, repeatability, lag/delay, reliability. Use a few case studies illustrating different sensor choices to show how these impact on control loop performance. Include inferential control. What is the impact of discretising a control law that is implementing via a computer and thus involving sampling? Use some case studies to demonstrate the impact of actuator/sensor failure and discuss possible mitigation. Show through case studies how poor design effects control, e.g. Vaporizer, reboiler, knockout drums, ball mills, cooling towers, simple distillation tower, etc. How would you undertake control design when the system/model parame- ters are continually changing, or unknown? What is the impact on control of significant sensor noise or large input/output disturbances? Compare and contrast different tuning methods for PID, e.g.: Zeigler- Nichols, Cohen-Coon, Modified Ziegler-Nichols method, Tyreus-Luyben method, Damped oscillation method, C-H-R method, Fertik method, Ciancone-Marline method, Minimum error criteria (IAE, ISE, ITAE), etc. Identify, select and position different instruments appropriately within a control loop. 2 5 Marking criteria and Grade Descriptors for ACS219 group assignment 7-10 • Extensive knowledge of the subject area and the engineering context. A perceptive and focused use of the relevant material. Widespread evidence of independent sourcing and original thought. 5-6 6-7 • A sound knowledge of the subject area and engineering context. A comprehensive use of the relevant material with some evidence of independent sourcing and original thought. 4-5 • Shows an insight and depth of understanding, including an awareness of the complexities and subtleties. 3-4 ● Very high standard of critical analysis and evaluation. • Clearly structured presentation, showing logical development of arguments and properly referenced data and examples. • Shows an understanding of arguments, contribution and context, including some awareness of the complexities and subtleties. ● High standard of critical analysis of the source material. Evidence of some evaluation and synthesis. • Clearly structured presentation, showing logical development of arguments and properly referenced data and examples. • Some knowledge of the subject area and engineering context. Makes some use of the relevant material with little or no evidence of independent sourcing, or original thought. • Shows some understanding of arguments, contribution and context. • Attempts analysis of the source material but may include some errors/omissions. Little evidence of evaluation and synthesis. • Presentation reasonably clear with arguments not fully developed and data and examples not fully referenced. • Some knowledge and appreciation of the engineering context. Superficial use of the material provided. No evidence of independent sourcing, or original thought. • Some areas of understanding of the arguments, contribution and context. • Confused analysis including errors and omissions. No evidence of evaluation and synthesis. • Descriptive presentation based on confused arguments. Includes poorly referenced data and examples provided during lectures. • Limited and patchy knowledge and appreciation of the engineering context. Poor use of the material provided. No evidence of independent sourcing, or original thought. • Limited understanding of the arguments. No understanding of the contribution and context. • Confused analysis including a number errors and omissions. No evidence of evaluation and synthesis. • Descriptive presentation based on confused arguments. Poor use of data and examples provided during the lecture. No references 0-3 ● Inadequate knowledge and no appreciation of the engineering context. Poor use of the material provided. No evidence of independent sourcing, or original thought. 3 ● Inadequate understanding of the arguments, contribution and context. • Inadequate grasp of the analysis including many errors and omissions. No evidence of evaluation and synthesis. • Presentation that contains no data, examples or even class notes. 4See Answer
Q13:Problem 1 This is an extension of the CSTR with second order kinetics example solved in class. Considering the system of two CSTRs as shown in the schematic below, determine the dynamic behavior of the reactor concentrations (CAI and CA2) in response to a step change in inlet concentration, Cao. Estimate the time it takes until 95% of the change in outlet concentration of reactor 2 has occurred. Data • Fo F1 F2 = 0.25 m³/min V₁ = 5 m³ V2=4 m³ Initially,CAO 1.5 mole/m³ rai--K * Cai 0.5 for i=1, 2 K = 0.05 (min*(mole/m3)0.5)-1 ACA0 = 1.0 mole/m³ (step change in inlet concentration) at time t=5 min (time of step change should be variable in your Excel program) The system is initially at steady state, flowrates remain constant, perfect mixing in tanks. Specifically, a. Summarize your data b. State any assumptions you make. c. Derive the non-linear model for the dynamic response of the concentration of A in the reactor, CA(t). Show all your derivations/calculations. d. Use the Euler method to solve the non-linear model for a step change in the inlet concentration, CAO, of size +1 mole/m³. e. Plot the non-linear responses of the system, i.e. make a plot of CAO, CA1 and CA2 .vs. time Fo F₁ F2 CAD V₁, CA1 V2, CA2 0.5 42=-K-C420.5See Answer
Q14: COURSE Project (15%) 2023-2024 Process Dynamics and Control CHE456 Semester: FALL 2023 1. Table of Contents Introduction.... 2. Project Description ......... 3. ABET Learning Outcome. 4. Student Project Evaluation... 5. Overall Course Grading Scale.. 6. Group formation ......... 7. Project Management & Deliverables 8. Turnitin......... 9. Artificial Intelligence Al-based content.. 10. APA Style…………………………… 11. Academic Honesty and Integrity Assurance. 12. Copyrights............. 13. Project and team-based work... 14. Student Assessment Rubric.. 15. Appendix A . 345 LO 5 5 6 6 9 9 9 9 11 11 12 15 1. Introduction Projects for engineering students give an edge over the race of recruitment to work hard to ensure a good career. In spite of employment practices in recent times, students are progressively taking up projects to pad up their skill-set. Engineering projects help students to learn and acquire practical knowledge. Despite of theory concept they acquire, various industries also need to know their capacity to complete projects using their specific initiatives. Thus, we recommend students to realize engineering projects in their four years of engineering and try to present as many white papers as possible. Students who give importance to their course projects are expected to learn how to: Work in teams including multidisciplinary teams • Build a major design experience based on the knowledge and skills acquired in the course work • Build a major design experience incorporates appropriate engineering standards and multiple realistic constraints Apply both analysis and synthesis in the engineering design process, resulting in designs that meet the desired needs In the design process, both creativity and criticism are essential. The followings are the seven steps that students should consider while designing their projects: . • • • Recognition of the need and identifying opportunities: Every project begins with recognition that needs improvement. These needs may be obvious or hidden to be revealed by investigation, surveys or research. Definition of the design problem: It is a major task requires gathering information about the problem. Definition of the design criteria and constraints: While the problem is being defined, the design criteria and constraints must be defined a. Design criteria are performance standards to be met by the design b. Design constraints are limitations placed on the designer, the final design or manufacturing process. Examples of possible constraints include accessibility, aesthetics, codes, constructability, cost, ergonomics, extensibility, functionality, interoperability, legal considerations, maintainability, manufacturability, marketability, policy, regulations, schedule, standards, sustainability, or usability. C. Risk analysis The design loop: design is a repetitive process of: a. Synthesis (Brainstorming - Generating new ideas) b. Analysis (Breaking ideas – find expected results) c. Decision-making (Deciding the best alternative) Optimization: Design team must ask themselves if it is the optimum design. Optimum is the best design that can be achieved at reasonable cost. The proposed design is judged against the design criteria Evaluation: Design team should hold a design review to approve drawings and specifications before they are released. If an optimum design cannot be achieved, the design team might revise the problem definition, the design criteria or the constraints in order to achieve the optimal solution or prototype. 2. Project Description Many real-world chemical engineering applications rely on control systems to control the flow, temperature, mixture, and other such aspects of a continuous production process, based on feedback from sensors, data monitoring systems and more. To this end, process control allows industrial sectors to produce a safer, more economically viable, and consistent product for public use. Therefore, it is of great importance to know the dynamic behavior of a chemical process and its response to any possible change. In general, storage tanks are related to wastewater treatment applications and sustainability in various ways. For instance, storage tanks play a crucial role in wastewater treatment by providing a means to buffer and equalize the flow of incoming wastewater. This is important for ensuring a consistent and manageable load on treatment processes. By optimizing the use of storage tanks, you can help enhancing the efficiency of subsequent treatment processes, such as biological treatment or chemical treatment, leading to improved effluent quality. High-quality effluent is essential for environmental sustainability, as it minimizes the impact of discharged water on ecosystems. In this project, it is required to consider the two liquid-level storage tanks shown in Figure 1. The parameters/variables of the process with their symbols are given in Table 1. W1H L DA h1 W2 & h2 W3 Figure 1. Interacting liquid storage tanks (h₁ ± h₂) with an inlet pipe with a length L. Table 1. Parameters/variables of the process with symbols W1 Mass flow rate of stream 1 W2 Mass flow rate of stream 2 W3 Mass flow rate of stream 3 h₁ Liquid height in tank 1 h2 Liquid height in tank 2 L Length of the outlet pipe A Cross sectional areas of the tanks a Cross sectional areas of the pipes The flow rates of outlet streams are dependent on the levels in the tanks according to hydrostatic principles. W3 = C₁√h₁ W₂ = C₂(√h₁ C₂(√√√√h₂) - (1) (2) Here, C1 and C2 are constants. 3. ABET Learning Outcome A student who successfully fulfills the course project requirements will have: • • . • • • An ability to apply theoretical concepts to design, develop, simulate, and implement control systems for a dynamic process in this project. An ability to apply theoretical knowledge of process control design in 'real work' project. An ability to consider various concepts relative to the design project based on the theories and knowledge. An ability to analyze outcomes in a clear and concise manner. An ability to consider the importance of the economic and environmental aspects in a project. Develop dynamic models for processes and solve them. • Obtain a realistic understanding of industrial process control practice. • Improve teamwork and communication skills. *SOS* [1]: an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics. [2]: an ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors. [7]: an ability to acquire and apply new knowledge as needed, using appropriate learning strategies. 4. Student Project Evaluation Notes: Weight Project PD 1: Simulation and QA session PD 2: Technical Report and QA session Total 7% 8% 15% ✓ Students have the full responsibility of: submitting the required documents within the deadline ○ verifying that the correct files are submitted ○ verifying that the submitted files are not corrupted Softcopies are required to be uploaded into Turnitin when applicable. 5. Overall Course Grading Scale Please refer to the Student Handbook for more information on the Letter Grading System.See Answer
Q15:Problem 2 Consider the isothermal and well-mixed chemical reactor shown in the schematic below. The rate of reaction occurring in the reactor is: r = -k CA³. Initially, the system is at steady state conditions and the flow rate in and out from the reactor, F, is 0.2m³/min. Also, the initial inlet concentration of component A, CAOS, is 2 mole/m³ and the reactor volume, V, is 5 m³. The reaction constant, k, is 0.5 (mole/m³)-2* min'. If the density change due to the reaction is zero and the flow rates in and out from the reactor remain constant, then: a) Summarize your data b) State any assumptions you make. c) Derive the non-linear model for the dynamic response of the concentration of A in the reactor, CA(t). Show all your derivations/calculations. d) Use the Euler method to solve the non-linear model for a step change in the inlet concentration, Cao, of size +1 mole/m³. e) Plot the non-linear responses of the system, i.e. make a plot of CAO and CA .vs. time F С до LL F V A P₁₁ = -K.C₁³See Answer
Q16:Problem 1-10 points Add the following instrumentation to the process flow diagram shown below. Use ISA notation and show all instruments using unique tag numbers. Use pneumatic control valves. All transmitters should be electronic. Assume we are using a DCS with LCD operator consoles. Required instrumentation: a) Local temperature indicators on the inlet and outlet streams to the furnace and the outlet of the reactor. Local pressure indicators on the inlet and outlet of the pump and the inlet of the reactor. A feedback control loop to control the temperature of the outlet stream from the b) c) d) e) furnace. Identify the CV-MV pairing. A back-pressure control loop on the reactor outlet stream. Identify the CV-MV pairing. All of the required instrumentation to monitor the furnace stack temperature on the operator's console in the control room including a separate high temperature panel alarm.See Answer
Q17:Q.1 Obtain the unit step response for the following in Simulink. Where possible, qualitatively justify the shape of the transient responseSee Answer
Q18:Q.2 The process is described by the following transfer functionSee Answer
Q19:Q.4 An electronic PID temperature controller is at steady state with an output of 12 mA. The set point equals the nominal process temperature initially. At t=0, the set point is increased at the rate of 0.5 mA/min. If the current settings are K₂= 2, t=1.5 min, Tp=0.5 min. (a) Generate the controller response in Simulink. (b) Repeat part (a) for a PI controllerSee Answer
Q20:A control system has the following transfer functions: Gc = Kc, GvGp = 1/(s+1) (0.5s+1)2See Answer

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