Question: The conceptual sketch below shows a model for a closed loop control of a lawnmower engine. Unlike the lawn mower motor of exercise 7, there

The conceptual sketch below shows a model for a closed loop control of a lawnmower engine. Unlike the lawn mower motor of exercise 7, there is a feedback device. It takes advantage of a cooling fan that is connected directly to the output shaft of the lawn mower. This fan blows on a flap indicated in the diagram, which is preset to a desired position and kept in that position against a spring tension if the fan is rotating at a desired speed. The desired speed is set by initializing the spring with a tension SSP corresponding to a desired operating condition such as 3,000 RPM.

Fuel Throttle Control Cooling Fan AF Engine Linkage Spring Return Flap


If the fan rotates too fast (i.e., the engine speed is too high), the flap is blown clockwise, causing a mechanical linkage to close the throttle and reduce engine speed. If the speed is too low, the flap is pulled counterclockwise by the spring. Draw a block diagram for this control system, assuming:

(1) That the control unit sends an error signal in terms of the spring tension (SSP (set point) – S) to throttle a proportional amount of air/fuel GTh(SSP – S) kg/s;

(2) Resulting in engine power P = GE × AF; 

(3) The speed response function for the motor speed is N = GSR × P. Finally the controller converts engine speed to spring tension by the relationship S = GSTN.


Exercise 7

Fuel Throttle Control Cooling Fan AF Engine Linkage Spring Return Flap

Fuel Throttle Control Cooling Fan AF Engine Linkage Spring Return Flap

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