Distribution Grid Hosting Capacity via Linear Power Flow
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Solution Overview
Problem
Existing methods for determining distribution grid hosting capacity are inefficient and fail to consider spatial interdependencies among distributed generators, leading to suboptimal and time-consuming calculations.
Innovation Solution
An optimization-based approach using linear programming and a lossless power flow model to determine hosting capacity, considering distribution bus overvoltage and line overload, while accounting for spatial interdependencies and avoiding iterative methods.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional iterative methods are used to determine hosting capacity, then measurement precision can be maintained, but computational time increases significantly
Solution Approach 1:
The patent transforms the nonlinear power flow equations into a linear programming problem by changing the mathematical parameters and formulation approach. This allows the use of efficient linear programming solvers instead of iterative nonlinear solvers, achieving both high computational speed and accurate hosting capacity determination while maintaining measurement precision.
Solution Approach 2:
The patent replaces the traditional iterative mechanical calculation process with an optimization-based mathematical model. By formulating the hosting capacity problem as a linear programming optimization problem, it substitutes the iterative numerical method with a direct optimization approach that converges faster and provides exact solutions.
2Measurement precision
If spatial interdependencies among distributed generators are considered, then hosting capacity accuracy improves, but calculation complexity increases
Solution Approach 1:
The patent segments the complex power system into individual distribution buses and their associated constraints. By formulating the hosting capacity problem as a set of linear constraints at each bus and combining them through linear programming, it manages spatial interdependencies systematically without requiring complex iterative simulations of the entire system.
Solution Approach 2:
The patent creates a universal linear programming framework that can handle multiple distributed generators across different locations simultaneously. The model universally accounts for spatial interdependencies by incorporating network constraints that link all generators, allowing the same mathematical structure to solve problems of varying complexity without requiring different calculation approaches.
Data Source
AI summary
Methods and systems for determining a hosting capacity in a distribution grid are disclosed herein. The methods and systems may use optimization models that consider operating conditions of a distribution grid having a distinct topology, characteristics, and predetermined performance parameters. The determination of a hosting capacity may first consider a lossless power flow model for the distribution grid, which may then be used to arrive at a maximum hosting capacity for the distribution grid. The maximum hosting capacity may be defined as the total capacity of a number of distributed generators connected to the distribution grid such that the performance parameters will be met.