An Interval Model to Analyze the Voltage Levels of Uncertainty in Distribution Network

In order to quantitatively assess the influence boundary of uncertainties on node voltage under the uncertainty of distribution network operating status, a new analysis model with interval linear regression was proposed in this paper from the perspective of the linear quantitative description. To obtain the model parameters defined as the voltage influence intervals, an analysis sample collection was conducted by the interval-affine power flow and virtual expected operating point. Then, according to the different requirements of interval linear regression, two kinds of parameter solving models based on quadratic programming and stochastic programming were established respectively. The verification results based on IEEE 33-bus test system and practical 113-bus system demonstrate the validity of interval linear analysis model and its solution method. The proposed model has an excellent performance and be of high accuracy in assessing the influence boundary of uncertainties on node voltage under the uncertainty of operating status.