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As Smart Grid comes with new smart devices and additional data collection for improved control decisions, this puts a lot of burden on the underlying legacy communication infrastructures that may be severely limited in bandwidth. Therefore, an alternative is to consider publish-subscribe architectures for not only enabling flexible communication options but also exploiting multicasting capabilities to reduce the number of data messages transmitted. However, this capability needs to be complemented by a communication-efficient group key management scheme that will ensure security of multicast messages in terms of confidentiality, integrity and authentication. In this paper, we propose a group-key generation and renewal mechanism that minimizes the number of messages while still following the Diffie-Hellman (DH) Key exchange. Specifically, the Control Center (CC) utilizes Shamir's secret key sharing scheme …