The Watt\'s governor Gear wheel R=3cm l = 8 cm m1 = 600 g 8cm 2 m Cin m2 = 2 kg

Question

The Watt's governor Gear wheel R=3cm l = 8 cm m1 = 600 g 8cm 2 m Cin m2 = 2 kg 15 cm cin Figure 1. Watt's governor is a device that can be used to regulate the fuel injection, thereby the power generated by a steam engine Consider the steam engine system (figure 1) with the dimensions as given in the figure. Determine the amount of fuel injection (flow rate) as a function of the speed of Watts' governor. Assume that the flow is laminar, that there are no pressure losses and that the fuel level doesn't change significantly (large fuel container) 1, [MATLAB] Plot the function of fuel flow rate (l/s) as a function of the angular speed (rpm) in Matlab 2. Assume that the relation between the inflow of fuel in the boiler as a function of the rotational speed (rpm) is given by Q = 0.2 l/s + 10-5 s-Q2 Plot this function in the same graph as in question 2 and determine at what speed the turbine is turning 3. What can you do to set another working point (this is to change the speed of the turbine)? Note that this is an example of negative feedback. We will later see that negative feedback loops are also frequently used in electronic circuits. There exists an entire mathematical framework that is concerned with the study of the stability of feedback loops and control systems. This is the field of cybernetics and is applicable to different kinds of systems (mechanical, mechatronics, electronics and biological). Block diagrams are often used and the systems are described by transfer functions. There exists a mathematical framework that is concerned with the stability of such feedback systems

Explanation / Answer

Watts governer is the simplest form of centrifugal governers . It consists of two fly balls attached to the sleeve with negligible mass . The upper side of the arms are pivoted so that its balls can move upwards and downward as they revolve with vertical sleeve . The engine drives the spindle through bevel gears . The sleeve is keyes to the spindle

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