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Decomposition of a class of linear electrical networks for calculation of total power

Abstract

A new method of decomposition of linear electrical networks for calculating total power is presented. By an iterative procedure, on the basis of decomposition of the electrical network, the branches containing power sources (voltage and/or current) are selected first until the remaining network becomes passive. Then, one calculates the power dissipated by the decomposed networks supplied by the corresponding power sources. Total power dissipated by impedances of the starting networks is equal to the sum of powers dissipated by impedances of the decomposed networks, under the condition that all impedances Z of the network are either resistive \({\text{Im}}(Z)=0\) or reactive \({\text{Re}}(Z)=0\) or mutually equal.

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Acknowledgements

Author Tomislav B Šekara gratefully acknowledges support of the Ministry of Education, Science and Technological Development of the Republic of Serbia by Grant TR33020.

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Correspondence to Milovan Radulović.

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Radulović, M., Šekara, T.B. & Lutovac, B. Decomposition of a class of linear electrical networks for calculation of total power. Sādhanā 43, 139 (2018). https://doi.org/10.1007/s12046-018-0911-1

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  • DOI: https://doi.org/10.1007/s12046-018-0911-1

Keywords

  • Decomposition
  • iterative procedure
  • linear electrical network
  • Tellegen’s theorem