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Parametric model order reduction for district heating networks
Author(s) -
Rein Markus,
Mohring Jan,
Damm Tobias,
Klar Axel
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800192
Subject(s) - reduction (mathematics) , quadratic equation , parametric statistics , mathematics , state space , stability (learning theory) , measure (data warehouse) , order (exchange) , algebraic number , model order reduction , state (computer science) , control theory (sociology) , mathematical optimization , computer science , algorithm , mathematical analysis , statistics , data mining , projection (relational algebra) , geometry , control (management) , finance , machine learning , artificial intelligence , economics
This contribution focuses on the model order reduction of index 1 hyperbolic differential algebraic equations which are quadratic in state, at the example of district heating networks. We demonstrate that an appropriate splitting of the state space variables in the two categories massflow and temperature leads to a linear parameter varying system, allowing the use of tools from linear model order reduction. We measure a significant decrease of computational effort to simulate the underlying network dynamics while preserving stability.