Generalized Line Loss Relaxation in Polar Voltage Coordinates
Jonathon Martin, Ian Hiskens

Citation
Jonathon Martin, Ian Hiskens. "Generalized Line Loss Relaxation in Polar Voltage Coordinates". IEEE Transactions on Power Systems, 2017.

Abstract
It is common for power system behavior to be expressed in terms of polar voltage coordinates. When applied in optimization settings, loss formulations in polar voltage coordinates typically assume that voltage magnitudes are fixed. In reality, voltage magnitudes vary and may have an appreciable effect on losses. This paper proposes a systematic approach to incorporating the effects of voltage magnitude changes into a linear relaxation of the losses on a transmission line. This approach affords greater accuracy when describing losses around a base voltage condition as compared to previous linear and piecewise linear methods. It also better captures the true behavior of losses at conditions away from the flat voltage profile.

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• HTML

  Jonathon Martin, Ian Hiskens. <a
  href="http://www.cps-forces.org/pubs/219.html"
  >Generalized Line Loss Relaxation in Polar Voltage
  Coordinates</a>, <i>IEEE Transactions on Power
  Systems</i>,  2017.

• Plain text

  Jonathon Martin, Ian Hiskens. "Generalized Line Loss
  Relaxation in Polar Voltage Coordinates". <i>IEEE
  Transactions on Power Systems</i>,  2017.

• BibTeX

  @article{MartinHiskens17_GeneralizedLineLossRelaxationInPolarVoltageCoordinates,
      author = {Jonathon Martin and Ian Hiskens},
      title = {Generalized Line Loss Relaxation in Polar Voltage
                Coordinates},
      journal = {IEEE Transactions on Power Systems},
      year = {2017},
      abstract = {It is common for power system behavior to be
                expressed in terms of polar voltage coordinates.
                When applied in optimization settings, loss
                formulations in polar voltage coordinates
                typically assume that voltage magnitudes are
                fixed. In reality, voltage magnitudes vary and may
                have an appreciable effect on losses. This paper
                proposes a systematic approach to incorporating
                the effects of voltage magnitude changes into a
                linear relaxation of the losses on a transmission
                line. This approach affords greater accuracy when
                describing losses around a base voltage condition
                as compared to previous linear and piecewise
                linear methods. It also better captures the true
                behavior of losses at conditions away from the
                flat voltage profile.},
      URL = {http://cps-forces.org/pubs/219.html}
  }
  

Posted by Ian Hiskens on 28 Feb 2017.
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