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Energy Cooperation in Energy Harvesting Communications (1303.2636v1)

Published 11 Mar 2013 in cs.IT, cs.NI, and math.IT

Abstract: In energy harvesting communications, users transmit messages using energy harvested from nature during the course of communication. With an optimum transmit policy, the performance of the system depends only on the energy arrival profiles. In this paper, we introduce the concept of energy cooperation, where a user wirelessly transmits a portion of its energy to another energy harvesting user. This enables shaping and optimization of the energy arrivals at the energy-receiving node, and improves the overall system performance, despite the loss incurred in energy transfer. We consider several basic multi-user network structures with energy harvesting and wireless energy transfer capabilities: relay channel, two-way channel and multiple access channel. We determine energy management policies that maximize the system throughput within a given duration using a Lagrangian formulation and the resulting KKT optimality conditions. We develop a two-dimensional directional water-filling algorithm which optimally controls the flow of harvested energy in two dimensions: in time (from past to future) and among users (from energy-transferring to energy-receiving) and show that a generalized version of this algorithm achieves the boundary of the capacity region of the two-way channel.

Citations (275)

Summary

  • The paper proposes energy cooperation via wireless energy transfer to optimize energy profiles and enhance throughput in various multi-user channel models.
  • It employs a two-dimensional directional water-filling algorithm under KKT conditions to derive optimal energy management policies across network scenarios.
  • The study lays a foundational framework for sustainable communication, paving the way for advanced methods like bi-directional energy transfer and real-world application adaptations.

Energy Cooperation in Energy Harvesting Communications

The paper "Energy Cooperation in Energy Harvesting Communications" explores innovative strategies to enhance system performance by leveraging the concept of energy cooperation among users in energy harvesting communication networks. The paper investigates the potential of wireless energy transfer among energy harvesting users in various multi-user network structures, specifically focusing on three scenarios: the two-hop relay channel, the two-way channel, and the multiple access channel. The core contribution of this research is the proposal and analysis of the energy cooperation method, whereby one user can wirelessly transfer a portion of its harvested energy to another user, providing flexibility and optimization in energy arrival profiles that can significantly enhance network throughput.

Key Contributions and Numerical Findings

The paper presents a robust formulation of energy cooperation for the three multi-user channel models. Using a Lagrangian formulation and the resulting Karush-Kuhn-Tucker (KKT) optimality conditions, the paper defines optimal energy management policies to maximize system throughput. A significant advancement is the development of a two-dimensional directional water-filling algorithm, which optimally manages the flow of harvested energy in two dimensions: temporally (from past to future) and spatially (from one user to another).

For the two-hop relay channel, the paper shows that matching the source and relay power levels results in optimal throughput when the relay's energy profile initially exceeds and subsequently falls below the source's energy profile. In scenarios where the source has non-harvesting sessions or a fixed initial energy, energy should ideally be transferred in the first slot to maximize throughput. For the two-way channel, the paper confirms that the achievable rate regions are expanded through optimal energy transfer, demonstrating significant gains in system performance. Notably, the results establish that the convex capacity region boundary can be achieved using the proposed two-dimensional water-filling algorithm where energy can be dynamically allocated. Similar improvements are observed in the multiple access channel, which shows distinct capacity benefits as a result of optimal energy allocation and transfer, especially when energy priority between users is varied.

Implications and Theoretical Understanding

The introduction of energy cooperation as a method of enhancing harvested energy utilization provides a glimpse into the future capabilities of self-sufficient and sustainable wireless networks. The findings highlight the intricate dynamics of energy cooperation at the battery level, moving beyond traditional signal-level cooperation. In particular, the proposed energy management strategies, which include algorithms that are adaptable to various network topologies and energy efficiencies, underscore the potential improvements in system capacity and efficiency. This research lays a foundational basis for future studies on wireless networks with energy exchange capabilities, promoting a nuanced view of cooperation where energy itself becomes a strategically allocable resource.

Future Directions

Several promising directions emerge from this paper: (1) The exploration of bi-directional energy cooperation to further optimize energy distributions across networks; (2) Expanding the modeling to consider additional practical constraints like imperfect battery storage, real-time energy costs, and processing energy overheads; (3) Investigating energy cooperation techniques in larger, more complex network environments, and integrating these methods with existing energy-efficient communication protocols for broader applicability and sustainability.

This paper is a valuable contribution to both theoretical development and practical applications in energy-efficient wireless communication networks, paving the way for continued research into intelligent energy management for future communication systems.