Simulation of homomorphic encryption of composite power data based on elliptic curve digital signature algorithm

The security and privacy of power data, which are core assets of energy systems, have become critical bottlenecks that restrict the development of new power systems, such as smart grids and the energy internet. Existing simulation techniques for composite power data encryption often suffer from high computational complexity, leading to slow processing speeds when dealing with large-scale power data, which makes it difficult to meet the real-time requirements of power system applications. To address this issue, a homomorphic encryption simulation method for composite power data is designed based on the elliptic curve digital signature algorithm. Smart meters enable the collection, measurement, and transmission of power data, while an encoding model for composite power data encryption is established. In addition, an advanced key-sharing mechanism is introduced, utilizing derived bilinear mappings on elliptic curves. By applying different key signatures, the proposed method integrates homomorphic encryption with arithmetic coding encryption to achieve comprehensive encryption of composite power data. Experimental results show that the proposed method achieves an encryption and decryption accuracy of over 98%, along with high performance in computational and communication efficiency. Moreover, its anti-attack capability remains consistently above 0.98. When processing 800-bit composite power data, the data transmission response time is 2.5 s.