Optimizacija malog vodoopskrbnog sustava sekvencijalnim linearnim programiranjem

undergraduate thesis

• Title (english): Optimisation of a small-scale water distribution system via sequential linear programming
• Author: Rene Županić
• Mentor: Mario Vašak (mentor)
• Committee member: Mario Vašak (član povjerenstva)
• Committee member: Blaž Korotaj (član povjerenstva)
• Committee member: Antonio Karneluti (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2023-07-04, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Computing

Abstract

Proveden je opis sustava, definirana su ograničenja i postavljen je nelinearni model sustava. Cilj je minimizirati potrošnju energije i gubitke vode u sustavu, uz održavanje tlakova iznad granice minimuma. Kako bi se riješio taj problem, koristila se linearizacija nelineranog modela te sekvencijalno rješavanje linearnog problema pomoću CPLEX paketa u programskom jeziku Python. Svaka iteracija uključuje simulaciju rada vodoopskrbnog sustava za jedan dan unaprijed, linearizaciju modela i ograničenja, te rješavanje linearnog programa. Nakon optimizacije, prikazan je histerezni način upravljanja i usporedba s optimalnim. Provedeni postupak optimizacije znatno je smanjio operativne troškove rada sustava, poštujući pritom ograničenja rada sustava.

Abstract (english)

The description of the system was performed, constraints were defined and the nonlinear model of the system was established. The goal is to minimize energy consumption and water losses in the system, while maintaining pressures above the minimum limit. In order to solve this problem, the nonlinear model was linearized and sequential solving of the linear problem was employed using the CPLEX package in the Python programming language. Each iteration includes simulating the operation of the water distribution system for one day ahead, linearizing the model and constraints, and solving the linear program. After the optimization, the hysteric control strategy is presented and compared with the optimal one. The optimization process significantly reduced the operating costs of the system, while respecting the system's constraints.

• Keywords: ograničenja; optimalno upravljanje; vodoopskrbni sustav; linearizacija; sekvencijalno linearno programiranje; iteracije; simulacija; minimizacija
• Keywords (english): constraints; optimal control; water distribution system; linearization; sequential linear programming; iterations; simulation; minimization
• Language: croatian
• URN:NBN: urn:nbn:hr:168:711316
• Study programme: Title: Computing; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2023-07-13 10:42:50