Naslov
Properties of the heat energy allocation models in systems with partial distribution of heat allocators

Autori
Hatzivelkos, Aleksandar

Izvornik
WSEAS transactions on heat and mass transfer (1790-5044) 11 (2016); 87-106

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Heat energy allocation model ; Heat allocators ; Non-linear algorithms

Sažetak
Systems with partial distribution of heat allocators present a problem in terms of energy allocation. Since heat allocators provide pure numerical, and not the consumed energy value, energy consumed in the apartments without heat allocators is unknown. Furthermore, energy loss within the building is also unknown. Therefore, models for heat energy allocation are used. With those models, based upon partial (numerical) consumption readings, allocation to all apartments is formed. This paper addresses the allocation methods used for allocation of the heat energy in systems with partial distribution of the heat allocators. Mathematical definition and analysis of three heat energy allocation methods is given. Two of them were officially legislated in Croatia, and in use since year 2008. Third one is proposed in works of Hatzivelkos. Properties of allocation methods are introduced: consistency, monotonicity and local consistency. While consistency, as a global property can be viewed as a necessary allocation property, special attention is given to later two properties, monotonicity and local consistency. Those properties describe allocation methods from the perspective of a consumer. Mathematical analysis of allocation methods behavior in worst case scenario is given, i.e. scenario that produces the greatest error for observed allocation model. Another high consumer visibility concept is analyzed: consumption reading point value. For a consumer, it is only natural to seek relation between consumption reading and energy allocation, which is described with concept of allocated energy value of consumption reading points. Criteria for consumption reading point value comparison is introduced and described by usage of simulations. Finally, notions of new areas of heat allocation model analysis are given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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