Brake Systems Engineering Solution
It’s a Sunday morning. You’ve taken your car out for a spin. Your favorite song comes up on the radio and you start singing along. What a great start to the day!
Suddenly, a squirrel jumps out of the woods and starts running across the street. You hit the brakes as hard as you can in an attempt to save the poor creature, but instead you lose control of your car and before your brain can even process the situation, your life flashes before your eyes.
The brakes functioned perfectly, exactly as designed. So what went wrong? When you suddenly hit the brakes of a moving car, the pressure locks the wheels and causes the tires to lose traction. This loss of traction makes it hard to steer the car, and you lose control of the vehicle.
The first anti-lock braking system (ABS) was developed in the 1920’s by French aviation and automotive pioneer, Gabriel Voisin, to solve this very problem, but it was initially used only on airplanes. Later on, it was introduced to the automobile industry, and today all vehicles have it as a standard feature. The main component of an ABS is the wheel speed sensor, which provides digital wheel speed data to the ABS in real time. Hence, wheel speed sensors are also known as ABS sensors.
But do not confuse these sensors with the traditional speedometers which display speed of the entire vehicle on the dashboards using an analog indicator. Wheel speed sensors monitor the speed of every wheel, so that the ABS can repeatedly and continuously apply optimum braking pressure to keep you in control while stopping your car.
First, let’s understand how to set-up the model. A magnetic sensor is fixed on the brake hub, and a toothed metallic rotor is attached to the wheel. The sensor is directly aligned with the teeth of the rotor, so when the vehicle starts moving, the wheel and rotor start rotating, which causes the sensor to see an alternating pattern of teeth and gaps. The sensor then generates a voltage proportional to the frequency of this alternating pattern. This frequency is in turn proportional to the speed of the wheel.
This variable frequency signal has an amplitude, the voltage, which is proportional to wheel speed. If this voltage is too low, the controls for the ABS cannot determine wheel speed.
In addition to the design of the wheel speed sensor, we parametrized the model so that the effect of factors, like varying number of teeth on the rotor and changing the gap between the sensor and rotor, could be studied. Our goal was to design a sensor that’s sensitive enough to wheel speed, so that the ABS can perform effectively. To achieve this, we performed a parametric study to understand the relationship between sensor voltage and the factors described above.
Since this ABS kicks in at speeds above 20 kmph (~200rpm), we monitored the sensor voltage for speeds ranging from 200 to 1000 rpm. As shown in Fig 3, the number of teeth were varied, and we found out that the rotor can have at the most 36 teeth, so that the sensor can generate a voltage larger than the minimum threshold voltage of 2 millivolts for the entire range of speed.
Similarly, Fig. 4 shows how the gap between the sensor and rotor was varied. We deduced that the gap needs to be at the most 1 millimeter for the sensor to function effectively.
In conclusion, based on the above data, we were able to select the best parameter set required to build a decent ABS sensor that works smoothly at all speeds.
Fun Fact: Did you know that several insurance companies actually give customers special discounts for having an ABS system on board? That’s because ABS systems have proven, time and again, that they can significantly bring down road accidents. So the next time you hit your brakes, be assured that the ABS has got your back!
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