Closed loop model identification using the Hansen Scheme: Thermal modeling of occupied houses
Authors
Juul, Frederik ; Sekunda, André Krabdrup
Term
4. term
Education
Publication year
2014
Submitted on
2014-06-20
Pages
93
Abstract
Projektet undersøger, hvordan man kan identificere en model af et termisk system i lukket kredsløb (et temperaturreguleret system med feedback). Det fysiske anlæg analyseres ud fra førsteprincipper, og regulatorens adfærd undersøges. Dette munder ud i en nominel model for både anlæg og regulator, som bruges i selve modelidentifikationen. Afhandlingen gennemgår Hansen Scheme, en metode til at identificere et anlæg, mens systemet kører i lukket kredsløb. Metoden kræver koprime faktoriseringer af systemet, som ikke er almindeligt tilgængelige for PI‑regulatorer (proportional–integral) med referenceforudkobling (en forudvirkende brug af referencesignalet). Der udledes analytisk sådanne faktoriseringer for denne type regulator, og der præsenteres en identifikationsteknik, der udnytter dem. Teknikken anvendes på data fra projektet Styr din varmepumpe til at udføre lukket-kredsløbs-identifikation.
This project studies how to identify a model of a thermal closed‑loop system (a temperature‑controlled system with feedback). The plant (the physical system) is analyzed from first principles, and the controller’s behavior is examined. This leads to a nominal model for both plant and controller, which is then used for model identification. The thesis explains the Hansen Scheme, a method for identifying a plant while the system operates in closed loop. The scheme requires coprime factorizations of the system, which are not readily available for PI (proportional–integral) controllers with reference feedforward (a way to act on the reference in advance). The work derives such factorizations analytically for this controller type and presents an identification technique that uses them. The technique is applied to data from the project Styr din varmepumpe to perform closed‑loop identification.
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