Adaptive Voltage Control of Inverter-based DG in Active Distribution Networks with Measurement-Strategy Mapping Matrix

The high penetration of distributed generators (DGs) has exacerbated voltage violations in active distribution networks (ADNs). The sensitivity, as the law between nodal power injection and state variation, can be used to develop DG strategies. However, due to the nonlinearity, the accurate description and efficient application of sensitivity have become an important challenge in the establishment of DG control strategy. In this paper, an adaptive voltage control strategy for DGs is developed based on ADN sensitivity. First, the measurement-strategy mapping matrix is established to describe the complex time-varying sensitivity. The sensitivity between nodal voltage and reactive power is described as discrete matrix elements, which are generated based on the Koopman operator. Then, an adaptive voltage control model is built based on the measurement-strategy mapping matrix, in which the lifted linear decision rule (LLDR) is introduced to continue the discrete matrix elements as a couple of constraints. Efficient formulation of DG strategies is realized in a data-driven manner based on ADN sensitivity. Finally, the effectiveness of the proposed strategy is validated using the IEEE 33-node system, practical 53-node system, and IEEE 123-node system. The proposed strategy can effectively cope with voltage problems while enhancing the adaptability to variations in practical operation.