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This letter proposes a novel inner approximation method for the aggregated temporally-coupled power flexibility of distributed energy resources (DERs). Previous inner approximation methods were proposed without knowing the explicit formulation of the exact flexibility aggregation model of DERs. Recently, we have derived that explicit formulation [1], so its properties are exploited to develop an inner approximation in this letter. The proposed method significantly improves the accuracy and computation speed. Numerical tests verify the effectiveness of the proposed method.

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Using differential subordination, we consider conditions of β so that some multivalent analytic functions are subordinate to (1+z)γ (0<γ≤1). Notably, these results are applied to derive sufficient conditions for f∈A to satisfy the condition zf′(z)f(z)2−1<1. Several previous results are extended.