Multi-dimensional Data Aggregation Scheme without a Trusted Third Party in Smart Grid

The data aggregation is an essential requirement in the smart grid that is gradually replacing the traditional grid for its reliability, flexibility, efficiency and other excellent performance. The one-dimensional data aggregation schemes cannot meet the requirements of fine-grained analysis, while most multi-dimensional data aggregation schemes rely on a trusted third party (TTP). Besides, some multi-dimensional data aggregation schemes cannot resist the collusion attacks from some users, the aggregator and the control center. In order to satisfy the fine grained analysis of the electricity consumption data and resist the collusion attack, meanwhile alleviate the dependence on the TTP, we propose a multi-dimensional data aggregation scheme based on the EC-ElGamal cryptosystem and the super increasing sequences. The scheme can achieve fine-grained data analysis of multi-dimensional electricity data, and each entity generates its own keys without any TTP, which avoids users’ privacy leakage. Furthermore, our scheme can resist the replay attack and the collusion attack from some users, the control center and the aggregator. Security analysis shows that the proposed scheme can meet the security requirements of the smart grid and is more practical than the existing schemes.