中国物理B ›› 2023, Vol. 32 ›› Issue (1): 10502-010502.doi: 10.1088/1674-1056/ac76b2

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Data encryption based on a 9D complex chaotic system with quaternion for smart grid

Fangfang Zhang(张芳芳)1, Zhe Huang(黄哲)1, Lei Kou(寇磊)2,†, Yang Li(李扬)3, Maoyong Cao(曹茂永)1, and Fengying Ma(马凤英)1   

  1. 1 School of Information and Automation Engineering, Qilu University of Technology(Shandong Academy of Sciences), Jinan 250353, China;
    2 Institute of Oceanographic Instrumentation, Qilu University of Technology(Shandong Academy of Sciences), Qingdao 266000, China;
    3 School of Electrical Engineering, Northeast Electric Power University, Jilin 132000, China
  • 收稿日期:2022-03-12 修回日期:2022-05-31 接受日期:2022-06-08 出版日期:2022-12-08 发布日期:2022-12-20
  • 通讯作者: Lei Kou E-mail:koulei1991@hotmail.com
  • 基金资助:
    Project supported by the International Collaborative Research Project of Qilu University of Technology (Grant No. QLUTGJHZ2018020), the Project of Youth Innovation and Technology Support Plan for Colleges and Universities in Shandong Province, China (Grant No. 2021KJ025), the Major Scientific and Technological Innovation Projects of Shandong Province, China (Grant Nos. 2019JZZY010731 and 2020CXGC010901).

Data encryption based on a 9D complex chaotic system with quaternion for smart grid

Fangfang Zhang(张芳芳)1, Zhe Huang(黄哲)1, Lei Kou(寇磊)2,†, Yang Li(李扬)3, Maoyong Cao(曹茂永)1, and Fengying Ma(马凤英)1   

  1. 1 School of Information and Automation Engineering, Qilu University of Technology(Shandong Academy of Sciences), Jinan 250353, China;
    2 Institute of Oceanographic Instrumentation, Qilu University of Technology(Shandong Academy of Sciences), Qingdao 266000, China;
    3 School of Electrical Engineering, Northeast Electric Power University, Jilin 132000, China
  • Received:2022-03-12 Revised:2022-05-31 Accepted:2022-06-08 Online:2022-12-08 Published:2022-12-20
  • Contact: Lei Kou E-mail:koulei1991@hotmail.com
  • Supported by:
    Project supported by the International Collaborative Research Project of Qilu University of Technology (Grant No. QLUTGJHZ2018020), the Project of Youth Innovation and Technology Support Plan for Colleges and Universities in Shandong Province, China (Grant No. 2021KJ025), the Major Scientific and Technological Innovation Projects of Shandong Province, China (Grant Nos. 2019JZZY010731 and 2020CXGC010901).

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摘要： With the development of smart grid, operation and control of a power system can be realized through the power communication network, especially the power production and enterprise management business involve a large amount of sensitive information, and the requirements for data security and real-time transmission are gradually improved. In this paper, a new 9-dimensional (9D) complex chaotic system with quaternion is proposed for the encryption of smart grid data. Firstly, we present the mathematical model of the system, and analyze its attractors, bifurcation diagram, complexity, and 0-1 test. Secondly, the pseudo-random sequences are generated by the new chaotic system to encrypt power data. Finally, the proposed encryption algorithm is verified with power data and images in the smart grid, which can ensure the encryption security and real time. The verification results show that the proposed encryption scheme is technically feasible and available for power data and image encryption in smart grid.

关键词: 9-dimensional complex chaotic system, data encryption, quaternion, smart grid, real-time

Abstract: With the development of smart grid, operation and control of a power system can be realized through the power communication network, especially the power production and enterprise management business involve a large amount of sensitive information, and the requirements for data security and real-time transmission are gradually improved. In this paper, a new 9-dimensional (9D) complex chaotic system with quaternion is proposed for the encryption of smart grid data. Firstly, we present the mathematical model of the system, and analyze its attractors, bifurcation diagram, complexity, and 0-1 test. Secondly, the pseudo-random sequences are generated by the new chaotic system to encrypt power data. Finally, the proposed encryption algorithm is verified with power data and images in the smart grid, which can ensure the encryption security and real time. The verification results show that the proposed encryption scheme is technically feasible and available for power data and image encryption in smart grid.

Key words: 9-dimensional complex chaotic system, data encryption, quaternion, smart grid, real-time

中图分类号:  (Numerical simulations of chaotic systems)

  • 05.45.Pq
93.85.Bc (Computational methods and data processing, data acquisition and storage) 06.30.Ft (Time and frequency)