TheGilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow andthe flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The statespace model is given by:x =0 00-30.30.00012 -6.02 0 00 -3.77 000-2.80 0 0Is the system?:a. unstableb.C.not unstablex+6.1500003.040 0.052not asymptotically stabled. asymptotically stable-1u y =0000-7.300-25.0X The system matrices in the control canonical form are in the form: (‘xxx' indicates a non-zero numerical value.)a.b.نd.A =A =A =A =XXX000-0o0900XXX00XXX XXX-00010-0 100XXX- 9001 0-0 10 0 00 -00XXX0.000XXX0.001XXXXXX XXX XXX XXXXXX010 0.0100 1XXX XXX XXX XXX999B =B =B =B =XXXXXXXXXXXX000XXX000XXX0XXXXXX

Given: To find: Stability Rank of observability

The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: x= -30.3 0.00012 0 0 0 00 -6.02 0 0 -3.77 0 0 -2.80 0 0 Is the system?: x+ 6.15 0 0 0 a. unstable Ob. not unstable Oc. not asymptotically stable C. d. asymptotically stable 0 0 u y: 3.04 0.052 0 0 0 0 -7.3 0 0 -25.0

The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: x= -30.3 0.00012 0 0 0 00 -6.02 0 0 -3.77 0 0 -2.80 0 0 Is the system?: x+ 6.15 0 0 0 a. unstable Ob. not unstable Oc. not asymptotically stable C. d. asymptotically stable 0 0 u y: 3.04 0.052 0 0 0 0 -7.3 0 0 -25.0

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Q2 Consider a conical receiver shown in Figure 2. The inlet and outlet liquid volumetric flow rates are Fl and F2, respectiveily. ccorresponding radius in r) Figure 2 Conicul tank Develop the model equation with necessary assumption(s) with respect to the liquid height h. ii. What type of mathematical model is this? 1 R %3D Hint: Model: = F, – Fz, where the volume V=r h=nh, since = substitute V and Fz expressions and get the final form. %3D %3D %3D dt H.
For the model defined in Question 1, is the closed loop system with the negative feedback control law? 0 0 0 ;]* X 0 u=-Kx= O a. O b. O c. unstable 0 1 0 asymptotically stable not unstable O d. not asymptotically stable
'p' (liquid density 'A' (tank cross sectional area) Qin' (Input Flow Rate) P 'R' (restriction coefficient) dh Qin = A + dt '' (head of liquid) Figure 1 The single tank system (Figure 1) has been modelled by the first order differential equation given as equation. The equation describes the relationship between the input flow rate entering the tank and the head of liquid in the tank. Pi R h 5 m equation + The following constants are provided: R = 40 Kpa s m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m s A pump is suddenly switched on and provides a step input flow rate of 0.5 m³s¹¹. (1) Using Laplace Transforms, solve equation and provide an expression to show how the level in the tank will vary in time after the step input has been applied. (ii) Build a Simulink model and validate the results from Part 1 (i).
lail - Ahmed Amro Hussein Ali A x n Course: EN7919-Thermodynamic x Homework Problerns(First Law)_S x noodle/pluginfile.php/168549/mod_resource/content/1/Homework%20Problems%28First%20Law%29_SOLUTIONS.pdf UTIONS.pdf 4 / 4 100% Problem-4: When a system is taken from a state-a to a state-b, the figure along path a-c-b, 84 kJ of heat flow into the system, and the system does 32 kJ of work. (i) How much will the heat that flows into the system along the path a-d-b be, if the work done is 10.5 kJ? (Answer: 62.5 kJ) (ii) When the system is returned from b to a along the curved path, the work done on the system is 21 kJ. Does the system absorb or liberate heat, and how much? (Answer:-73 k]) (iii) If Ua = 0 andU, = 42kJ , find the heat absorbed in the processes ad and db. (Answer: 52.5 kJ, 10 kJ)
Problem 2. A linearized state space model of a three blade speed wind turbine with a 15 m radius working at 12 m/s wind-speed and generating 220 V is -5 5 1 -10.5229 -1066.67 -3.38028 23.5107 993.804 3.125 -23.5107 Wgm 10 -10 Wgm y = [ 0 0 0 1.223 × 10° 0] Wgm where 3 is the pitch angle of the wind turbine blades, { is the relative angle of the sec- ondary shaft, i is the angular velocity of the secondary shaft, wg is the generator speed, Wgm is the generator measurement speed, u is the pitch angle reference, and y is the active power generated. (a) What is the maximum number of poles that the transfer function could have? How many poles does it have?
I1 Give an example how it is applied in molecular dynamics simulation and Monte carlo simulation? Typical distributions of particles in a volume (e.g. crystal structure for a solid, or distribution of masses and velocities in a “typical” galaxy) - Distributions of particle velocities/energies (e.g. Boltzmann distribution at a fixed temperature) - E.g. for a liquid it is common to start with a solid crystal structure and let the structure “melt” (by setting appropriate velocities corresponding to the liquid phase temperature!) - E.g. to setup a collision of two galaxies, you could try to generate a stable distribution of masses and velocities for a single galaxy first by performing a separate simulation -E.g. A simple model of a phase transition between a low temperature ordered phase (ferromagnet) and high temperature disordered phase (paramagnet) whats the difference in phase space in Molecular dynamics and Monte Carlo simulation?
In the Fig. 2 below, let Ki = K2 = K and ti = t=t. %3D T -T X Fig. 2 (a) Let T= 0 °C and T= 200 °C. Solve for T: and unknown rates of heat flow in term of k and t. MEC_AMO_TEM_035_02 Page 2 of 11 Finite Element Analysis (MECH 0016.1) – Spring - 2021 -Assignment 2-QP (b) Let T- 400 °C and let fs have the prescribed value f. What are the unknowns? Solve for them in term of K, t, and f.
'p' (liquid density 'A' (tank cross sectional area) 'Qin' (Input Flow Rate) "Que P 'R' (restriction coefficient) '' (head of liquid) dh Qin = A + dt Figure 1 The single tank system (Figure 1) has been modelled by the first order differential equation given as equation. The equation describes the relationship between the input flow rate entering the tank and the head of liquid in the tank. ph R 5 m equation The following constants are provided: R = 40 Kpa s m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m s A pump is suddenly switched on and provides a step input flow rate of 0.5 m³s¹. (1) Using Laplace Transforms, solve equation and provide an expression to show how the level in the tank will vary in time after the step input has been applied.
The governing equation of motion for a base motion system is given by (assume the units are Newton) mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t) %3D Given that m = 180 kg, c = 30 kg/s, Y = 0.02 m, and о, — 3.5 rad/s %3| 1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.
Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable 12) The air conditioner removes 2.7 kJ of heat from inside a house with 450 m3 of air in it. At a typical air density of 1.3 kg/m3 that means 585 kg of air. If the specific heat of air is 1.01 kJ/(kg oC), by how much would this cool the house if no heat got in through the rest of the house during that time?
An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x = 0 where x (t) is the displacement of the mass (relative to equilibrium) at time t, m is the mass of the object, and k is the spring constant. A mass of 3 kilograms stretches the spring 0.2 meters. dt² Use this information to find the spring constant. (Use g = 9.8 meters/second²) m k = + kx The previous mass is detached from the spring and a mass of 17 kilograms is attached. This mass is displaced 0.45 meters below equilibrium and then launched with an initial velocity of 2 meters/second. Write the equation of motion in the form x(t) = c₁ cos(wt) + c₂ sin(wt). Do not leave unknown constants in your equation. x(t) = Rewrite the equation of motion in the form ä(t) = A sin(wt + ), where 0 ≤ ¢ < 2π. Do not leave unknown constants in your equation. x(t) =
Complete the following property table for water State Phase Description Specific Volume Pressure (kPa) |(m^3/kg) Temp. (C) 1 150 0.41 300 10000 3 0.25 500 4 P Saturated liquid atm 2.