Challenge

Week-11 Challenge: Braking

    1. For a defined driving cycle, calculate the energy required for braking.

Energy required for braking is the kinetic energy difference from the current spped and the speed from which braking was started

as we know K.E=0.5*m*v^2

for our case

K.E =0.5*m*(v1^2-v2^2)

where v1is initail velocity'

v2 is velocity after braking

Braking of a vehicle require vehicle to deaccelerate vehicle to lower speed within a given time

acceleration and decelaration for a vehicle is same only difference would be in the in values V1 AND V2

  1. Why electric motor can’t develop braking torque at high speed similar to starting? How electric and mechanical brakes are coordinated?

SPEED torque characteristics of motor are given in the following daigram

we can see that at start of the vehicle maximum torque is available ,in that motor will have maximum torque available ,but as motor starts deaccelerating motor charcterictics are shifted towards braking region,we dont have max torque available for braking as vehicle is already at higher spped

brake strategy system:

1)serial braking strategy

2)parallel braking strategy

With series regenerative braking system of electric vehicle as the object of study, by the analyses on braking energy and braking regulations, the safe operation range of electro-hydraulic hybrid regenerative braking is theoretically determined, and with concurrent consideration of motor regenerative braking and battery charging power, a mathematical model for the optimization of regenerative braking is established. Based on the theory of hybrid system and the model for hybrid automata, the regenerative braking system is visually described and a regenerative braking control strategy is proposed with coordinated control between motor regenerative braking force and the hydraulic braking forces on front and rear wheels, and a simulation is conducted on control model. The results indicate that the regenerative braking control strategy proposed increases the proportion of motor regenerative braking and thus enhance the recovery rate of vehicle braking energy in braking process.
parallel braking strategy
  1. a MATLAB program which plots contour of given motor speed, torque and efficiency values. Attach the code as a .m file attach a screenshot of all the plots.

w=linspace(0,1000);

t=linspace(0,300);

kc=0.18;
ki=0.006;
kw=0.00015;

[X,Y]=meshgrid(w,t);
copperloss=(Y.^2)*kc;
ironloss=X*ki;
windingloss=(X.^3)*kw;
K=20;
outputpower=X.*Y;
inputpower=(copperloss)+(ironloss)+(outputpower);
effi=(outputpower)./(inputpower);
n=linspace(0.8,0.9,10);
contourf(X,Y,effi,n);
xlavel('speed rad/s')
ylabel('torque n-m')

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