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Energies 2014, 7(11), 7519-7534;

A Recursive Solution for Power-Transmission Loss in DC-Powered Networks

Department of Biomedical Engineering, College of Medicine, Dankook University, 119, Dandae-ro, Dongnam-gu, Cheonan-si, Chungnam 330-714, Korea
Department of Electrical Engineering and Computer Science, University of California, Irvine, 3219 Engineering Hall, Irvine, CA 92697-2625, USA
Author to whom correspondence should be addressed.
Received: 29 July 2014 / Revised: 6 October 2014 / Accepted: 10 November 2014 / Published: 18 November 2014
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This article presents a recursive solution to the power-transmission loss in DC-powered networks. In such a network, the load cannot be modeled as a fixed equivalent resistance value, since the switching regulator may draw more or less current based on the actual supply voltage to meet the power demand. Although the power-transmission loss itself is simply I2 RL, I, in turn, depends on the load’s supply voltage, which, in turn, depends on I, making it impossible to derive a closed-form solution by classical resistive network analysis in general. The proposed approach is to first derive a closed-form solution to I in the one-node topology using the quadratic formula. Next, we extend our solution to a locally daisy-chained (LDC) network, where the network is readily decomposable into stages, such that the solution combines the closed-form formula for the current stage with the recursive solution for the subsequent stages. We then generalize the LDC topology to trees. In practice, the solution converges quickly after a small number of iterations. It has been validated on real-life networks, such as power over controller area network (PoCAN). View Full-Text
Keywords: DC-power network; energy buffer; power-transmission topology; sensors DC-power network; energy buffer; power-transmission topology; sensors
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Kim, S.; Chou, P.H. A Recursive Solution for Power-Transmission Loss in DC-Powered Networks. Energies 2014, 7, 7519-7534.

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