Developing a smart grid is a trend nowadays and an indispensable basic necessity of life. In recent years, the electricity demand has risen rapidly due to economic development and quality of life improvement. The power grid in significant cities is unstable due to old equipment, and power outages occur frequently. The smart grid can adjust the grid's distribution strategy through the consumer's real-time electricity demand so that the consumer's electricity consumption data is always transmitted to the grid. Failure to protect the privacy and security of such information will expose consumers' habits and even make the grid unnecessarily wasteful. The smart grid's abnormality detection efficiency determines the overall grid's stability. Failure to detect anomalies or power theft in the grid promptly will not only lead to the selection of the wrong distribution strategy for the smart grid but also reduce the transmission efficiency of the grid. This research ensures the privacy and security of transmitted data to enhance the efficiency of abnormality detection in the smart grid. The research issues are divided into privacy of transmitted data, data security authentication, and anomaly detection efficiency.