Determine the single block transfer function with vr and ql

Assignment Help Mechanical Engineering
Reference no: EM131008881

A proportional controller is to be used to control the pump output pressure in the system shown below

2111_servo.png

The steady state output torque of the engine is given by the equation

Tss = 1500 X - 25 N fit-lbf

where X is the throttle position in inches and N is the engine speed in rpm. The total combined rotational moment of inertia (I) of the engine and pump combined is 150 ft¬lbf-s2. The output of the pump is related to the engine speed by the equation

Q = 0.1 N gal/min

where N is in rpm. The torque required to drive the pump is determined by the pressure output from the pump

T = 0.5 P ft-lbf

Where P is in psi. The bypass circuit has a constant resistance R of 300 psi/(gal/min).

The voltage output of the pressure transducer is given by the equation

Vt = 0.0001 P Volts

Where P is in psi. The throttle servo is a first order system with a time constant of 1 second and a steady state responsegiven by the equation below.

Xss = 0.5 Vs inches

Where Vs is the voltage input to the servo.

The controller equation is

Vs = Kp(Vr Vt) Volts

where Vr is a reference input voltage and Kp is the controller constant

1. Draw the block diagram for this system showing all necessary transfer functions

2. Determine the single block transfer function with Vr and QL in the input function and P as the controlled variable.

3. Determine the value of Kp which will result in a fast and smooth response to changes in either Vr or QL.

4. Determine the equation for the steady state value of P for given values of Vr and QL using your value of Kp.

5. The system is operating at steady atate with Vr equal to 2 volts and QL equal to 0. QL suddenly changes to 25 gal/min and remains fixed at that value. Plot X, P, and N against time during the transition to a new steady state. These plots may be determined from an exact solution of the differential equation or a numerical solution based in the system equations. A listing of the program with comments explaining the solution must be included with the solution.

Reference no: EM131008881

Maximum and minimum temperatures

Two kilograms of air within a piston-cylinder assembly execute a Carnot power cycle with maximum and minimum temperatures of 750 K and 300 K, respectively. The heat transfer

Determine the absolute maximum shear stress in the shaft

The turbine develops 250 KW of power, which is transmitted to the gears such that C receives 60% and D receives 40%, figure 5. Determine the absolute maximum shear stress in t

Determine the ampacity of a no. 12 awg copper conductor

Determine the ampacity of a No. 12 AWG copper conductor with THHN insulation that will be used in a 120 V, two-wire circuit in an environment with an average ambient air tem

Many uses including the production of sulfuric acid

SO3 has many uses including the production of sulfuric acid (H2SO4). A gas stream having the (molar) composition shown in the figure below is to be passed through a two-stage

Strain gauge is used to measure the top surface strain

A strain gauge is used to measure the top surface strain on an end loaded cantilevered beam. From the end of the beam to the location of the strain gauge is L=12.1 inches. The

Quality of a two-phase liquid-vapor mixture

1. Each of the following exercises requires evaluating the quality of a two-phase liquid-vapor mixture: (a) The quality of a two-phase liquid-vapor mixture of H2O at 40°C with

Low-speed wind tunnel with atmospheric air

A fan that can provide air speeds up to 50 m/s is to be used in a low-speed wind tunnel with atmospheric air at 25°C. If one wishes to use the wind tunnel to study flat-plate

Calculate the time required for the surface of each sphere

Show in a qualitative manner, on T - t coordinates, the temperatures at the center and at the surface for each sphere as a function of time. Briefly explain the reasoning by

Reviews

Write a Review

 
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd