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CATEGORIES:Cambridge Mathematics Placements Seminars
SUMMARY:Understanding and Estimating Physical Parameters i
n Electric Motors using Mathematical Modelling - G
eoff Walker\, Artesis LLP
DTSTART;TZID=Europe/London:20180206T130000
DTEND;TZID=Europe/London:20180206T140000
UID:TALK100753AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/100753
DESCRIPTION:Rotating electrical machinery such as pumps\, fans
\, and compressors underpin a lot of our modern-da
y infrastructure\; they are used in the water indu
stry\, throughout manufacturing\, and in turbines/
for power generation. These devices are generally
powered by three-phase induction motors\, and the
reliable performance of these motors (and the dri
ven equipment) is critical in many sections of ind
ustry. \n\nArtesis is a small company that provide
s remote monitoring of this equipment\, looking at
only the voltage and current drawn by the motor t
o identify (mostly mechanical) faults in the motor
and in the driven equipment. \n\nTo do this\, we
use a black-box modelling algorithm which approxim
ates the motor as a linear system – from a sample
of voltage and current data\, the algorithm extrac
ts the best-fit linear relationship between voltag
e and current\, and the leftover ‘residual’ curren
t is then further analysed by examining its Fourie
r spectrum. The model consists of a number of para
meters which do not themselves have any physical m
eaning. However\, these parameters should correspo
nd to physical parameters of the motor itself such
as winding resistances\, impedances\, and slip (a
parameter related to the output torque) and the f
irst aim of this project is to extract this meanin
gful physical data from the parameters produced by
the model. Time permitting\, we would then like t
he student to speculate (both using some physical
insight and a bit of guesswork) how faults on the
equipment\, as well as operational changes\, might
influence these physical parameters and therefore
the parameters in the mathematical model\; and so
me of these hypotheses can be tested using a test
rig. \n\nThis project is relatively open ended tho
ugh it builds on work done in previous PMP project
from 2016. There should be some time to visit eit
her a real customer site or take at quick tour of
the engineering department\, and we hope this proj
ect will provide an opportunity for the student to
see how mathematics interacts with the real world
- and hopefully for them to develop a taste for s
olving problems that are important in industry. \n
LOCATION:MR3 Centre for Mathematical Sciences
CONTACT:Dr Vivien Gruar
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