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Maximum Power Transfer

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Numerous practical applications within engineering disciplines, such as telecommunications, necessitate optimizing power delivery to a connected load. This pursuit, however, entails inherent internal losses, which can either equal or exceed the power supplied to the load. The Thevenin equivalent circuit is helpful in finding the maximum power a linear circuit can deliver to a load. It is assumed in this context that the load resistance can be adjusted.
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Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
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Transmission Line Design Considerations

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Maximum Power Flow and Line Loadability

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The maximum power flow for lossy transmission lines is derived using ABCD parameters in phasor form. These parameters create a matrix relationship between the sending-end and receiving-end voltages and currents, allowing the determination of the receiving-end current. This relationship facilitates calculating the complex power delivered to the receiving end, from which real and reactive power components are derived.

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Joint User Scheduling, Relay Selection, and Power Allocation for Multi-Antenna Opportunistic Beamforming Systems.

Wenbin Sun¹, Mingliang Tao¹, Xin Yang¹

¹School of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, China.

Entropy (Basel, Switzerland)

|October 23, 2021

Summary

A new multi-antenna opportunistic beamforming-based relay (MOBR) system enhances communication rates by leveraging multi-user and multi-relay gains. This advanced technique surpasses traditional opportunistic beamforming, offering improved performance in 5G and beyond networks.

Keywords:

multi-antenna opportunistic beamforming relay resource scheduling

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Area of Science:

Wireless communication systems
Signal processing
Information theory

Background:

Opportunistic beamforming (OBF) enhances 5G/B5G systems but faces performance saturation with many users.
Achievable rates in OBF systems can be limited due to user capacity constraints.

Purpose of the Study:

To introduce a multi-antenna opportunistic beamforming-based relay (MOBR) system for improved communication performance.
To maximize the achievable rate in wireless systems by combining multi-user and multi-relay selection gains.

Main Methods:

Formulated an optimization problem to maximize the achievable rate.
Addressed the NP-hard optimization problem by dividing it into two suboptimal issues.
Applied a joint iterative algorithm to solve the suboptimal issues.

Main Results:

The proposed MOBR system demonstrated a higher achievable rate compared to conventional OBF systems.
Simulation results confirmed superior performance over other beamforming schemes, especially with limited feedback.

Conclusions:

The MOBR system effectively overcomes the rate saturation limitations of traditional OBF.
This approach offers a promising solution for enhancing user quality of service (QoS) in future wireless networks.