News Release

Xidian University researchers develop optimal design method for microwave power transmission

Peer-Reviewed Publication


Illustration of an microwave power transmission system with an annular collection area.


Rr1: the inner radius of the annular receiving area; Rr2: the outer radius of the annular receiving area; Rt: the radius of the transmitting antenna; L: the distance between the transmitting antenna and rectenna; θ1θ2: the angles of the annular receiving area.

view more 

Credit: Xun Li et al.

A team of researchers from Xidian University in China has achieved a new result in the field of microwave power transmission. Their study, published in Engineering, introduces an optimal design method for antenna aperture illumination with an annular collection area, with the goal of maximizing the power radiated on the collection area.

The research, led by Professor Baoyan Duan from Shaanxi Key Laboratory of Space Solar Power Station System, Xidian University, focused on formulating the aperture amplitude distribution using a unique set of series. As a result, they were able to simplify the optimal design problem to maximize the ratio of two real quadratic forms. Leveraging matrix theory, the team identified the solution to the optimization problem as determining the largest characteristic value and its associated characteristic vector.

In addressing security concerns, the researchers also integrated additional constraints to account for peak radiation levels outside the receiving area. To address this constrained optimization problem, they developed a hybrid grey wolf optimizer and Nelder–Mead simplex method. The effectiveness of this novel approach was confirmed through numerical experiments using continuous apertures. Furthermore, the optimized results were validated using discrete arrays of isotropic elements, along with patch arrays.

The newly proposed method offers several advantages in the field of microwave power transmission. “Our optimal design method enables the achievement of maximum beam collection efficiency (BCE) while satisfying security requirements,” explained the team. “This method allows for the design of continuous aperture distributions to maximize BCE, with or without extra constraints, and facilitates the easy design of array antennas of various sizes.”

The impact of this research extends beyond annular collection areas. The team emphasized, “Our method is not only applicable to annular collection areas but also extends to microwave power transmission applications with circular collection areas, as the circular collection area is a special case of an annular collection area.”

This breakthrough in optimal design methods for antenna aperture illumination holds significant potential for advancing microwave power transmission technologies. It has the capacity to optimize power radiated on collection areas, leading to more efficient and effective transmission of microwave power.

The research conducted by the team at Xidian University represents a promising development in the field. Their approach introduces new possibilities for enhancing the design and performance of microwave power transmission systems. As the demand for wireless power transfer continues to grow, advancements like these are crucial.

The paper “Optimal Design of Aperture Illuminations for Microwave Power Transmission with Annular Collection Areas,” authored by Xun Li, Baoyan Duan, Yiqun Zhang, Yongxin Guo. Full text of the open access paper: For more information about the Engineering, follow us on Twitter ( & like us on Facebook (


About Engineering:

Engineering (ISSN: 2095-8099 IF:12.8) is an international open-access journal that was launched by the Chinese Academy of Engineering (CAE) in 2015. Its aims are to provide a high-level platform where cutting-edge advancements in engineering R&D, current major research outputs, and key achievements can be disseminated and shared; to report progress in engineering science, discuss hot topics, areas of interest, challenges, and prospects in engineering development, and consider human and environmental well-being and ethics in engineering; to encourage engineering breakthroughs and innovations that are of profound economic and social importance, enabling them to reach advanced international standards and to become a new productive force, and thereby changing the world, benefiting humanity, and creating a new future.

Disclaimer: AAAS and EurekAlert! are not responsible for the accuracy of news releases posted to EurekAlert! by contributing institutions or for the use of any information through the EurekAlert system.