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

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 dem...

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Bibliographic Details
Published in:Energies (Basel) 2014-11, Vol.7 (11), p.7519-7534
Main Authors: Kim, Sehwan, Chou, Pai H
Format: Article
Language:English
Subjects:
Computer engineering
DC-power network
Electric potential
energy buffer
Exact solutions
Mathematical analysis
Mathematical models
Networks
power-transmission topology
Recursive
sensors
Switching theory
Voltage
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Summary: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).
ISSN:1996-1073
1996-1073
DOI:10.3390/en7117519