Abstract

For the Energy harvesting (EH) transmitter equipped with a Reliable Energy Backup (REB), the following problem is challenging and important: how to minimize the amount of energy supplied by the REB, such that the harvested energy is efficiently utilized for transmitting a given amount of data within a fixed delay constraint. In this paper, we first develop a stochastic model for this problem. We then discuss the optimization issue of delay-constrained data transmission over a fading wireless channel. We transform the delay constraint into the penalty function, and then the energy constrained control problem is modeled as a Markov decision process (MDP) without constraint, by which we obtain the optimal energy supplementary policy and the minimum of the expected energy consumption from REB. In the special case that the energy of the transmitter is supplied by REB alone, we find that the optimal energy supplementary policy is non-decreasing in the elapsed transmission time and for the remaining task of data transmission. This substantially reduces the computational complexity required to implement the optimal energy supplementary policy for a general EH wireless device. Numerical studies validate the theoretical findings, and observations are outlined to demonstrate the characteristics of the optimal energy supplementary policy and the minimum expected energy expenditure from the REB.

Highlights

  • In order to fulfil the uninterrupted long-term or perpetual communication task, an energy harvesting (EH) transmitter can harvest energy from natural energy sources, for example solar power, wind, magnetic fields, mechanical vibrations, temperature variations

  • We investigate some structural results of the optimal energy supplementary policy, which can be used to reduce the computational complexity of the value iteration algorithm

  • NUMERICAL RESULTS our focus will in giving a numerical example to illustrate the computation of the optimal control policy, and we will investigate the characteristics of the energy supplementary policy and the minimum expected total consumed energy from Reliable Energy Backup (REB)

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Summary

Introduction

In order to fulfil the uninterrupted long-term or perpetual communication task, an energy harvesting (EH) transmitter can harvest energy from natural energy sources, for example solar power, wind, magnetic fields, mechanical vibrations, temperature variations. The REB is some paid-use power supply unit, it refers to any reliable energy source, either traditional or newly developed. The EH transmitter is encouraged to use the free and replenishable harvested energy whenever available, when the residual energy can not meet the required energy consumption of the system, the REB is triggered to input energy to the transmitter to satisfy the energy consumption requirement. In this way, the efficient mixed usage of the harvested energy and reliable backup energy provides a key solution to robust wireless green communications of the EH transmitter

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