Oil drilling rigs are used for drilling holes for identification of oil or natural gas sources and for extraction. An oil drilling system can be thought of as a drill inside a straw, which is placed inside a glass. The straw assembly represents the drill string, the drill surrounded by fluid, and the glass represents the volume, the annulus, around the drill string through which slurry and eventually oil will flow as the drilling progresses. Assume that we want to control the drill pressure output, Pd (t), with a reference voltage input, Vd (t). A control loop model (Zhao, 2007) consists of a drill-pressure controller, drill motor subsystem,

Elements Of Electromagnetics
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. Oil drilling rigs are used for drilling holes for identification of oil or natural gas sources and for extraction.
An oil drilling system can be thought of as a drill
inside a straw, which is placed inside a glass. The
straw assembly represents the drill string, the drill
surrounded by fluid, and the glass represents the
volume, the annulus, around the drill string through
which slurry and eventually oil will flow as the drilling
progresses.
Assume that we want to control the drill pressure output, Pd (t), with a reference voltage input,
Vd (t). A control loop model (Zhao, 2007) consists
of a drill-pressure controller, drill motor subsystem,
pulley subsystem, and drill stick subsystem. The
output signal of the latter, the drill pressure, Pd (t),
is measured using a transducer, which transmits a
negative feedback voltage signal, Vb(t), to the drill
pressure controller. That signal is compared at the
input of the controller to the reference voltage, Vr(t),
Based on the error, e(t) = Vr (t) – Vb(t), the drill
pressure controller sets the desired drill speed, ωd,
which is the input to the drill motor subsystem whose
output is the actual drill speed, ωa, which is the input
to the pulley subsystem. The output of the pulley
system drives the drill stick subsystem. The drill stick
subsystem may be severely affected by environmental
conditions, which may be represented as disturbances
acting between the pulley and stick subsystems.
Draw a functional block diagram for the above
system, showing its major components as well as all
signals.

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