Resilient Distribution Network Infrastructure Planning with Renewable Uncertainty

A method for automatic generating network configurations of a resilient power distribution network to restore from a blackout, comprising:

• receiving, via an input interface, design parameters of a resilient specification for a power distribution network in terms of minimum power-on durations for loads with different priority levels under the blackout, and a network configuration of the power distribution network, wherein the network configuration is represented by a digital graph map indicating locations of critical loads, buses, regular loads, branches of line segments, a main grid, and substations on the power distribution network, wherein the digital graph map of the power distribution network includes candidate locations connectable with renewable distributed generations, dispatchable diesel generators, battery energy storage systems, and switchable devices, wherein the design parameters include
• a first cost representing a first setup cost and size-based maintenance cost for the renewable distributed generations,
• a second cost representing a cost of power purchased from the main grid through substations under a normal condition,
• a third cost representing a third setup cost, a power generation cost, and an emission cost for the dispatchable diesel generators,
• a fourth cost representing a fourth setup cost and a degradation cost for the battery energy storage systems,
• a fifth cost representing a fifth setup cost and a switching cost for the switchable devices,
• a sixth cost representing a load shedding cost of regular loads and critical loads, and
• a seventh cost representing an expected adjustment cost of uncertainty internalized by the dispatchable diesel generators;
• storing, into a memory, the design parameters, the digital graph map of the power distribution network and computer-executable programs including a resilience enhancement planning of power distribution network module;
• arranging at least one processor associating with the memory storing instructions of the computer-executable programs thereon that cause the at least one processor to perform steps:
• formulating an objective function to determine the network configuration of the power distribution network based on the first, second, third, fourth, fifth, sixth and seventh costs, wherein the object function is subject to a set of constraints includes a distributionally robust joint chance constraint based generation output limitations and renewable uncertainty allocation constraints for candidate dispatchable diesel generators, charging and discharging dynamics constraints for candidate battery energy storage systems, switching operation constraints for candidate switchable devices, substation power supply constraints for blackouts, power balance constraints for the buses under normal and blackout conditions, regular load and critical load constraints under normal and blackout conditions, thermal capacity constraints for the branches on flowing apparent powers, and bus voltage constraints in terms of squared voltage magnitudes;
• constructing a decision-dependent moment-based ambiguity set based on a series of observed samples to describe an uncertainty of renewable forecast error with respect to the objective function;
• arranging the candidate dispatchable diesel generators, the candidate battery energy storage systems, the renewable distributed generations, and the candidate switchable devices onto the candidate locations of the digital graph map of the power distribution network by minimizing the object function under the set of constraints using a mixed-integer second-order conic programming solver.