TY - JOUR

T1 - Embedded order reduction of hierarchical systems within an mCCM framework

AU - Popp, Michael

AU - Mathis, Wolfgang

N1 - Funding information: The authors would like to thank the Volkswagen Foundation for the financial support of this work within the project AMSES (Aggregated Models for the Simulation of Electromechanical Power Systems).

PY - 2018/10/16

Y1 - 2018/10/16

N2 - Purpose: The purpose of this paper is to present the embedding of linear and nonlinear order reduction methods in a theoretical framework for handling hierarchically interconnected dynamical systems. Design/methodology/approach: Based on the component connection modeling (CCM), a modified framework called mCCM for describing interconnected dynamic systems especially with hierarchical structures is introduced and used for order reduction purposes. The balanced truncation method for linear systems and the trajectory piecewise linear reduction scheme are used for the order reduction of systems described within the mCCM framework. Findings: It is shown that order reduction methods can be embedded into the context of interconnected dynamical systems with the benefit of having a further degree of freedom in form of the hierarchical level, on which the order reduction is performed. Originality/value: The aspect of hierarchy within system descriptions is exploited for order reduction purposes. This distinguishes the presented approach from common methods, which already start with single large-scale systems without explicitly considering hierarchical structures.

AB - Purpose: The purpose of this paper is to present the embedding of linear and nonlinear order reduction methods in a theoretical framework for handling hierarchically interconnected dynamical systems. Design/methodology/approach: Based on the component connection modeling (CCM), a modified framework called mCCM for describing interconnected dynamic systems especially with hierarchical structures is introduced and used for order reduction purposes. The balanced truncation method for linear systems and the trajectory piecewise linear reduction scheme are used for the order reduction of systems described within the mCCM framework. Findings: It is shown that order reduction methods can be embedded into the context of interconnected dynamical systems with the benefit of having a further degree of freedom in form of the hierarchical level, on which the order reduction is performed. Originality/value: The aspect of hierarchy within system descriptions is exploited for order reduction purposes. This distinguishes the presented approach from common methods, which already start with single large-scale systems without explicitly considering hierarchical structures.

KW - Balanced truncation

KW - Component connection modeling

KW - Interconnected dynamical systems

KW - Order reduction

KW - Trajectory piecewise-linear

UR - http://www.scopus.com/inward/record.url?scp=85053068924&partnerID=8YFLogxK

U2 - 10.1108/COMPEL-09-2017-0375

DO - 10.1108/COMPEL-09-2017-0375

M3 - Article

AN - SCOPUS:85053068924

VL - 37

SP - 1535

EP - 1544

JO - COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

JF - COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

SN - 0332-1649

IS - 4

ER -