Distribution Network Reliability Modeling with MILP Load Recovery
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Solution Overview
Problem
Current reliability evaluation methods for power distribution networks are inefficient, requiring extensive sampling calculations and failing to accurately consider load recovery operations, leading to potential underestimation of reliability indexes.
Innovation Solution
A power distribution network reliability index calculation method based on mixed integer linear programming is established, optimizing reliability indexes by minimizing the system average interruption duration index (SAIDI) through a model comprising an objective function and constraint conditions, and solving it to directly obtain reliability indexes, thereby improving evaluation efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If sampling calculation methods are used for reliability evaluation, then the evaluation can be performed, but the computational efficiency is low and the accuracy is insufficient
Solution Approach 1:
The patent replaces the traditional sampling-based mechanical calculation method with a mixed-integer linear programming mathematical model. This substitution transforms the reliability evaluation from iterative sampling to direct optimization solving, achieving both high accuracy and computational efficiency simultaneously.
Solution Approach 2:
The patent changes the fundamental parameters of the evaluation approach by formulating reliability indices as optimization objectives rather than statistical results. By defining SAIDI and SAIFI as objective functions to be minimized, the method achieves precise calculation without relying on sampling distributions.
2Reliability
If traditional evaluation methods are used, then the calculation process is simple, but load recovery operations are not accurately considered leading to underestimation
Solution Approach 1:
The patent segments the power distribution network into discrete components and models their individual failure and recovery behaviors. By dividing the system into manageable parts with specific constraints, the model can accurately track load recovery operations while maintaining computational tractability.
Solution Approach 2:
The patent incorporates load recovery operations as preliminary actions in the optimization model. By pre-defining recovery constraints and objectives, the model proactively accounts for restoration processes rather than passively observing them, thereby improving reliability assessment accuracy.
Data Source
AI summary
The disclosure provides power distribution network reliability index calculation method based on mixed integer linear programming. The method includes: establishing a model for optimizing reliability indexes of a power distribution network based on a mixed integer linear programming model, wherein the model comprises an objective function and constraint conditions, the objective function is for minimizing a system average interruption duration index (SAIDI); solving the model based on the objective function and the constraint conditions to obtain reliability indexes of the power distribution network; and controlling operation of the power distribution network based on the reliability indexes.