Active and reactive energy balance equations in active and reactive time

Dimitri Jeltsema, Gerald Kaiser

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

Electrical networks, and physical systems in general, are known to satisfy a power balance equation which states that the rate of change of the energy in time equals the power at the port of the network minus the power dissipated. However, when complex power is considered, there does not seem to exist a similar statement for the imaginary power, either in the timedomain or in the frequency-domain. Recently, in the context of electromagnetic fields, it has been shown by complexifying the time to t+js and interpreting s as reactive time, that it is possible to set up an imaginary power balance in terms of the rate of change of reactive energy in reactive time. Here these ideas are specialized to linear and time-invariant RLC networks. For non-sinusoidal waveforms it is shown that the rate of change of reactive energy in reactive time contains all the essential properties and features of the commonly accepted definition of reactive power under sinusoidal conditions. We believe that this provides an unambiguous and physically motivated resolution to the longstanding debate on how to generalize reactive power to non-sinusoidal waveforms.

Original languageEnglish
Title of host publicationProceedings of the 2016 10th International Conference on Compatibility, Power Electronics and Power Engineering, CPE-POWERENG 2016
Place of PublicationPiscataway
PublisherIEEE
Pages21-26
Number of pages6
ISBN (Electronic)978-1-4673-7293-0
ISBN (Print)978-1-4673-7294-7
DOIs
Publication statusPublished - 2016
Event2016 10th International Conference on Compatibility, Power Electronics and Power Engineering (CPE-POWERENG) - Bydgoszcz, Poland
Duration: 29 Jun 20161 Jul 2016

Conference

Conference2016 10th International Conference on Compatibility, Power Electronics and Power Engineering (CPE-POWERENG)
CountryPoland
CityBydgoszcz
Period29/06/161/07/16

Keywords

  • Mathematical model
  • Reactive power
  • Load modeling
  • Transforms
  • Ports (Computers)
  • Frequency-domain analysis
  • Power measurement

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  • Cite this

    Jeltsema, D., & Kaiser, G. (2016). Active and reactive energy balance equations in active and reactive time. In Proceedings of the 2016 10th International Conference on Compatibility, Power Electronics and Power Engineering, CPE-POWERENG 2016 (pp. 21-26). [7544032] IEEE. https://doi.org/10.1109/CPE.2016.7544032