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Millions of the smart meters, as essential components, are being deployed ubiquitously in the next generation power system. However, the public privacy concerns over the users' power consumption leakage raise, since the smart meters' unintermittent readings contain customers' behavior patterns. To alleviate this problem, the state-of-the-art techniques are common to use a rechargeable battery to hide the actual power consumption. Unfortunately, none of the existing works completely provide a rigorous privacy protection with reasonable cost under real-world battery settings, i.e., achieving the well-known differential privacy guarantee economically using batteries with limited charge/discharge rate and capacity. To attain this goal, this paper proposes a differentially private meter reading report mechanism. The main idea is to first narrow down the domain of the noise distribution parameter, in order to decrease the …