Computational Enhancement of Water Distribution Network Analysis and Optimization Models through Topological Simplification

Water distribution network models are crucial for the effective management and operation of water distribution systems. Current technology enables the creation of detailed models of complex networks, often requiring the use of optimization tools for the repeated analysis of network behavior. Simplifying these models offers several advantages, including reduced computational time and easier decision-making for network managers. This paper presents a methodology based on six simplification algorithms that achieve up to an 80% reduction in network elements, while maintaining a high efficiency index for validation and using set point curves to represent the simplified elements.

The methodology employs graph theory to analyze and optimize water distribution networks. Simplifications range from the elimination of parallel pipes and terminal nodes to the sectorization and simplification of blocks with multiple inputs and outputs. The simplification process ensures hydraulic equivalence between the simplified model and the original network.

The impact of network simplification on the management and operation of water distribution systems is evaluated through various operational scenarios with different control elements and allowable error percentages. The results indicate that the proposed simplification methodology provides practical tools for network managers, contributing to better practices in water resource management and enhancing the efficiency and effectiveness of water distribution network operations.