This paper addresses the difficulty of traditional optimal power flow (OPF) models in high-renewable active distribution networks, where it is hard to simultaneously control overall voltage deviation, local limit violations and a few abnormal points. A distributed OPF model with multi-norm constraints is formulated by expressing voltage deviations, line loading rates and distributed generation outputs as deviation vectors and constraining them in a multi-scenario framework. An ADMM-based region–scenario decomposition is adopted for scalable solution. Case studies on modified IEEE 33-bus (DG 3.0 MW, storage 1.0 MW, maximum load 3.7 MW) and 69-bus systems (DG 5.5 MW, storage 2.0 MW, maximum load 5.8 MW) with 20 representative scenarios show that, under a 2-norm voltage deviation limit of 0.08 p.u. and an infinity-norm limit of 0.05 p.u., the multi-norm scheme suppresses long-tail voltage deviations at terminal buses and smooths normalized performance curves while maintaining network security and economic efficiency.
Povzetek: This paper develops a distributed OPF model with multi-norm constraints for high-renewable active distribution networks. Voltage deviations, line loading rates and distributed generation outputs are aggregated into deviation vectors and constrained by combined 2-norm and infinity-norm limits within a 20-scenario framework. Tests on modified IEEE 33-bus (DG 3.0 MW, storage 1.0 MW, max load 3.7 MW) and 69-bus systems (DG 5.5 MW, storage 2.0 MW, max load 5.8 MW) under 0.08 p.u. (2-norm) and 0.05 p.u. (∞-norm) voltage-deviation thresholds show that the method suppresses long-tail voltage deviations, smooths normalized performance indices and maintains secure, economical operation.
