Citation
Michael Fisher, Ian Hiskens. "Numerical Computation of Parameter-Space Stability/Instability Partitions for Induction Motor Stalling". IFAC and CIGRE/CIRED Workshop on Control of Transmission and Distribution Smart Grids, IFAC, October, 2016.

Abstract
Electrical power distribution networks are susceptible to Fault Induced Delayed Voltage Recovery (FIDVR). Such events are usually initiated by faults at substations and lead to sustained low voltages throughout the distribution grid. The mechanism underpinning this phenomenon is known to be the stalling of induction motors in residential air conditioners. It is useful to be able to partition parameter space into parameters that induce motor stalling versus those for which the motors recover for a particular fault. Novel algorithms are presented for numerically computing the border that separates such parameter-space partitions, and for finding the point on the border that is closest to a given point in parameter space. These algorithms are justified by theoretical results which exploit the presence of a special equilibrium point on the state-space stability boundary, called the controlling unstable equilibrium point. The key idea is to vary parameters in order to drive the trajectory to spend a fixed amount of time inside a ball centered at the controlling unstable equilibrium point, and then to maximize the amount of time inside that ball. The algorithms are applied to a modified version of the IEEE 37-bus test feeder.

Electronic downloads

• CTDSG16_0064_FI.pdf · application/pdf · 299 kbytes

• HTML

  Michael Fisher, Ian Hiskens. <a
  href="http://www.cps-forces.org/pubs/232.html"
  >Numerical Computation of Parameter-Space
  Stability/Instability Partitions for Induction Motor
  Stalling</a>, IFAC and CIGRE/CIRED Workshop on Control
  of Transmission and Distribution Smart Grids, IFAC, October,
  2016.

• Plain text

  Michael Fisher, Ian Hiskens. "Numerical Computation of
  Parameter-Space Stability/Instability Partitions for
  Induction Motor Stalling". IFAC and CIGRE/CIRED
  Workshop on Control of Transmission and Distribution Smart
  Grids, IFAC, October, 2016.

• BibTeX

  @inproceedings{FisherHiskens16_NumericalComputationOfParameterSpaceStabilityInstability,
      author = {Michael Fisher and Ian Hiskens},
      title = {Numerical Computation of Parameter-Space
                Stability/Instability Partitions for Induction
                Motor Stalling},
      booktitle = {IFAC and CIGRE/CIRED Workshop on Control of
                Transmission and Distribution Smart Grids},
      organization = {IFAC},
      month = {October},
      year = {2016},
      abstract = {Electrical power distribution networks are
                susceptible to Fault Induced Delayed Voltage
                Recovery (FIDVR). Such events are usually
                initiated by faults at substations and lead to
                sustained low voltages throughout the distribution
                grid. The mechanism underpinning this phenomenon
                is known to be the stalling of induction motors in
                residential air conditioners. It is useful to be
                able to partition parameter space into parameters
                that induce motor stalling versus those for which
                the motors recover for a particular fault. Novel
                algorithms are presented for numerically computing
                the border that separates such parameter-space
                partitions, and for finding the point on the
                border that is closest to a given point in
                parameter space. These algorithms are justified by
                theoretical results which exploit the presence of
                a special equilibrium point on the state-space
                stability boundary, called the controlling
                unstable equilibrium point. The key idea is to
                vary parameters in order to drive the trajectory
                to spend a fixed amount of time inside a ball
                centered at the controlling unstable equilibrium
                point, and then to maximize the amount of time
                inside that ball. The algorithms are applied to a
                modified version of the IEEE 37-bus test feeder.},
      URL = {http://cps-forces.org/pubs/232.html}
  }
  

Posted by Ian Hiskens on 28 Feb 2017.
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