Optimization of reliability parameters structure for district heating systems

Ivan V Postnikov,N.N Novitsky,V.A Stennikov,L.B Korelstein,V.R Chupin,M.G Sukharev

doi:10.1051/e3sconf/201839012002

Ivan V Postnikov, N.N Novitsky + Show 4 more

Open Access

https://doi.org/10.1051/e3sconf/201839012002

Copy DOI

Abstract

The problem of reliability parameters distribution on the district heating system's scheme is considered. This is one of important part of the general problem of optimal synthesis of district heating systems and is urgent for both the systems under design and the existing insufficiently reliable systems. The concept of solving the problem is based on the average reliability parameters of components (failure and restoration rates) which determine the first approximation to the optimal solution. This parameters needs for the further distribution its average values among system components. Algorithm and mathematical models for determine of optimal reliability parameters of system components with provide the required level of heat supply reliability and minimal total costs on ensuring this level are developed. The methodology of solving the stated problem is based on the methods of the theory of hydraulic circuits, nodal reliability, indices models of Markov random process and general regularities of heat transfer processes. The methodology also takes into account changes in thermal loads during the heating period and time redundancy of consumers related to heat storage.

Highlights

District heating systems (DHS) is the most important component in support of vital activity of population and development of all economic branches
Statement of the optimization problem of reliability parameters structure optimization for DHS consists in determining the reliability parameters of it components, which provide the required level of heat supply reliability at the minimum costs of ensuring these parameters and constraints on technically possible values
These parameters are determined by the formulas intended for the calculation of nodal reliability indices of DHS [1, 16, 19], Rossander equation that determines annual heat load curves of consumers [20], and some basic laws of district heating and thermal physical processes involved in DHS [20]

Summary

Introduction

District heating systems (DHS) is the most important component in support of vital activity of population and development of all economic branches. Statement of the optimization problem of reliability parameters structure optimization for DHS consists in determining the reliability parameters of it components (failure and restoration rates), which provide the required level of heat supply reliability at the minimum costs of ensuring these parameters and constraints on technically possible values. Average reliability parameter of components is taken to mean their failure or restoration rate that preliminarily has the same value for these components, which provides the required level of reliability indices These parameters are determined by the formulas intended for the calculation of nodal reliability indices of DHS [1, 16, 19], Rossander equation that determines annual heat load curves of consumers [20], and some basic laws of district heating and thermal physical processes involved in DHS [20]. The hydraulic conditions in HN are calculated by the methods of theory of hydraulic circuits [9] with using the nodal and matrix form of model of flow distribution (hydraulic conditions) in the network (10)–(12)

Case study

Conclusions