Linear Sensitivity Modelling Useful for Voltage Control Analysis Using Power Injections from DER

The injection of apparent power to self-consumption buses generates voltage variations during network operation, which, when properly monitored, could support regulation and control. In this paper, we propose a linear sensitivity modelling, quite useful for studies with distributed energy resources (DER). This modelling consists two analytical improvement steps: first, full formulation the deviations, second, influence line capacitance as Q-injections at points common couplings (PCCs). Our proposal is based on topological an existing (as function parameters X, R, Bc), branch flow (active–reactive (P-Q)), injections PCCs. Here, algorithm applied modified IEEE 33-bus distribution system demonstrate its extended effectiveness monitoring control scenarios. Its application estimates compensates in better way deviations regard operating desired (|V|op) constraints, using Numerical results always showed curtailment relative error against simplifications electrical steady-state, thus simulating critical scenarios operation production–consumption response. proposed was validated considering reference profile outputs load analysis, Newton–Raphson method via DIgSILENT, terms accuracy, silhouette shape along feeder reactive compensation case study active networks.