A Mixed-integer Linear Programming Model for Defining Customer Export Limit in PV-rich Low-voltage Distribution Networks

Abstract

A photovoltaic (PV)-rich low-voltage (LV) distribution network poses a limit on the export power of PVs due to the voltage magnitude constraints. By defining a customer export limit, switching off the PV inverters can be avoided, and thus reducing power curtailment. Based on this, this paper proposes a mixed-integer nonlinear programming (MINLP) model to define such optimal customer export. The MINLP model aims to minimize the total PV power curtailment while considering the technical operation of the distribution network. First, a nonlinear mathematical formulation is presented. Then, a new set of linearizations approximating the Euclidean norm is introduced to turn the MINLP model into an MILP formulation that can be solved with reasonable computational effort. An extension to consider multiple stochastic scenarios is also presented. The proposed model has been tested in a real LV distribution network using smart meter measurements and irradiance profiles from a case study in the Netherlands. To assess the quality of the solution provided by the proposed MILP model, Monte Carlo simulations are executed in OpenDSS, while an error assessment between the original MINLP and the approximated MILP model has been conducted.

A Review of Demand-Side Resources in Active Distribution Systems: Communication Protocols, Smart Metering, Control, Automation, and Optimization

“…LP provides valuable insights into cost minimization and resource allocation. The integration of discrete decisions into DSR optimization is addressed by mixed-integer linear programming [143]. MILP models are beneficial for problems that involve both continuous and discrete decision variables, which are common in DSR management [144].…”

Cloud-edge collaboration mechanism for low-voltage power distribution grid service operation

“…With a large number of new power equipment such as distributed photovoltaic and electric vehicle charging piles connecting to the low-voltage distribution grid, massive data of power service operations such as demand response [1][2][3][4][5][6], power load management, and remote automatic meter reading services are required to be transmitted, processed, and stored efficiently [7][8][9][10]. However, traditional cloud computing faces problems such as uplink congestion and highlatency transmission since the cloud server is far away from the power distribution grid [11][12], leading to difficulty in meeting the transmission and computing requirements of low-voltage power distribution grid service data [13][14].…”