Power Distribution Reliability Calculation for Multi-Connection Networks
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Solution Overview
Problem
Current methods for evaluating the reliability of complex power distribution networks with multi-connections are inefficient and complex, unable to perform one-time analytical calculations, and are limited to single radial feeder lines, making it difficult to assess reliability indexes effectively in large-scale power distribution systems.
Innovation Solution
A method that treats the power distribution network as a node-branch association model, building matrices such as the node-branch association matrix, section switch matrix, and tie-line matrix, and performing matrix operations to derive fault incidence matrices and calculate reliability indexes, allowing for sensitivity analysis to identify vulnerable links.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If the fault incidence matrix method is used for single radial feeder lines, then the calculation efficiency is improved, but the method becomes inapplicable to complex power distribution networks with multiple feeder lines and tie-lines
Solution Approach 1:
The patent extends the fault incidence matrix method by introducing tie-line matrices and multi-feeder association matrices, transforming a method limited to single radial feeders into a universal approach that handles complex multi-connection power distribution networks with multiple feeders and tie-lines, maintaining calculation efficiency while expanding applicability
Solution Approach 2:
The patent segments the complex power distribution network into multiple feeder lines and tie-lines, representing each with separate matrices (feeder association matrices, tie-line matrices) that can be independently constructed and then integrated through matrix operations to achieve one-time analytical calculation for the entire network
2Reliability
If traditional analytical methods with traversal cyclic search are used, then reliability indexes can be calculated, but the calculation process becomes extremely complicated and difficult to apply to large-scale networks
Solution Approach 1:
The patent replaces the mechanical traversal cyclic search process with matrix algebra operations. By constructing fault incidence matrices, feeder association matrices, and tie-line matrices, the complex iterative search is substituted with direct matrix multiplication and algebraic operations, dramatically simplifying the calculation process while maintaining accuracy for large-scale networks
Solution Approach 2:
The patent transforms the calculation approach by changing from enumerating individual fault conditions to using matrix parameters that represent system topology and connectivity. This parameter transformation enables analytical expression of reliability indexes through matrix operations rather than step-by-step traversal
3Productivity
If Monte Carlo simulation is used, then the simulation process can be performed, but explicit expression of reliability indexes cannot be achieved
Solution Approach 1:
The patent substitutes Monte Carlo simulation with deterministic matrix algebra operations. By constructing fault incidence matrices and performing algebraic operations, the method achieves explicit analytical expressions for reliability indexes, eliminating the need for probabilistic simulation while providing closed-form solutions that preserve mathematical precision
Data Source
AI summary
A method of analytical calculation of power supply reliability indexes of a power distribution network includes (A1) acquiring parameters of the power distribution network; (A2) building a reliability calculation model, which includes treating the power distribution network as a node-branch calculation unit and numbering nodes and branches in the power distribution network; (A3) building correlation matrices, and calculating a power supply path matrix and a tie-line matrix, wherein the correlation matrices are a node-branch association matrix, a section switch matrix and a fuse matrix; (A4) deriving a fault incidence matrix through the power supply path matrix, the section switch matrix, the fuse matrix and the tie-line matrix, and calculating the reliability indexes of the nodes and the power distribution network; and (A5) identifying vulnerable links by performing sensitivity analysis through partial derivative transformation for quantifiable parameters or perturbation transformation for unquantifiable parameters on an expression of the reliability indexes.