5ENT1011 Automotive Electronics and Control Systems

Assignment Help Electrical Engineering

Reference no: EM132867374 , Length: word count:2000

5ENT1011 Automotive Electronics and Control Systems - University of Hertfordshire

Learning Outcome 1: have a factual and conceptual knowledge base of the major electronic systems and components on a motor vehicle, how they work and understand the principles behind them.

Learning Outcome 2: recognise how the electronic systems are integrated into the vehicle.

Learning Outcome 3: be able to obtain, synthesize, evaluate and apply information in order to predict system performance and quantify the benefits of such systems to a motor vehicle.

Learning Outcome 4: be able to analyse standard control parameters in order to estimate system performance using given principles and apply this to automotive practice.

Question 1- PIDand Routh Hurwitz

Consider a prototype torque control, drive by wire system for a battery electric vehicle, the block diagram for which is shown in Figure Q1. This vehicle has been designed so that each driven wheel has its own individual drive motor. The block diagram shows the closed loop torque control loop for one wheel.

The input Tin(s) is the amount of torque which the driver would like to be exerted on the axle of the wheel, whereas Tout(s) is the amount of torque exerted on the wheel axle by the drive motor. This torque demand value can be varied by the user by varying the position of the accelerator pedal.

The transfer function G(s) describes the dynamics of the vehicle drive motor, motor amplifier and vehicle transmission. Whereby:

A torque transducer, with transfer function H(s), is used to measure and feedback the amount of torque exerted on the wheel axle by the drive motor. This transducer has a transfer function of 1. The torque transducer feeds this information to system controller, with transfer function C(s). This controller is a classical PI controller. The proportional and integral gains of this controller, Kp and Ki, are set to 10 and 2 respectively.

Redraw the block diagram shown in Figure Q1, populating each block with its respective transfer function.

Given that the torque input, Tin, to the system is a 50 unit step input, using this block diagram or otherwise, derive the closed loop transfer function for the system. Hence prove that the Laplace Domain expression for the torque output of the system, Tout(s) is:

T_out (s)=(500s+100)/(s^5+5s^4+5s^3+25s^2+2s)

Write the Characteristic Equation for the torque output expression, Tout.

Using the Characteristic Equation, analyse the torque output response using the Routh Hurwitz method to determine whether this system response is stable or unstable in nature. Clearly explain your reasoning. If the response is unstable, state how many unstable poles are present.

Question 2- Bode Plotting

a)The open-loop transfer function G(s) of a vehicle motion subsystem is:

G(s)=k/((s+10)(s+1)(s+5))

where k is the system gain.

Sketch by hand, the Bode plots (gain & phase vs frequency) for the open loop response described in the equation above. Let the system gain k be equal to 1.Clearly show any asymptotes, construction markings and calculations used to create this plot.

Explain the terms: gain margin and phase margin. Then from the plots you have drawn estimate the phase and gain margins. Clearly show your working.

Using your answers from the previous question, calculate the maximum value of system gain, klim, that would result in marginal system stability.

b)The following transfer function represents a system.

Find the frequency response of the system.

Determine the steady-state response of the system to particular input r(t)=5sin(10t)

Attachment:- Automotive Electronics and Control Systems.rar

Reference no: EM132867374

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