Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWMKL-Regelungstechnik-Seminar / 04. Juni 2019
Parametric Model Reduction for Optimal Control of Heating Networks
Abstract:
[nur in Englisch verfügbar]
This contribution focuses on the application of a reduced order model on the optimal control of heating networks. A suitable model for the description of heating networks results in an index-1 differential algebraic equation with both nonlinear dynamics and constraints. To allow for a real-time solution of an optimal control, a reduced order model is derived. The central challenge in its derivation arises from the time varying advection of the thermal energy on the network. By splitting thermal dynamics and hydraulic constraints, a linear time-varying system results. Based on a moment-matching technique applied to transfer functions at selected linear models, a global Galerkin projection is determined.
The latter allows for a stability preserving reduction of the thermal transport. The effectiveness of the reduced model is evaluated for the optimal control of the power plant feed-in at the example of an existing heating network.
The seminar »KL-Regelungstechnik« (Kaiserslautern – Control Theory and Control Engineering) is organized by our department as well as several research groups of the TU Kaiserslautern:
- Technomathematics (Dep. of Mathematics)
- Mechatronics in Mechenical and Automotive Engineering (Dep. of Mechanical and Process Engineering)
- Automation Control (Dep. of Electrical and Computer Engineering)
- Electromobility (Dep. of Electrical and Computer Engineering)
The seminar takes place at the ITWM every 1st Tuesday of a month (besides holidays and summer break). Aims are broadening of experiences and exchange of scientific views – also beyond the organizing groups.
Typical subjects of talks are:
- ongoing or recently finished graduations and doctoral theses
- current research and projects
The topics vary from mathematical methods to technical implementations. Usually, the talks present research results. However, some show open issues for brainstorming and inputs from the audience.
The seminar »KL-Regelungstechnik« (Kaiserslautern – Control Theory and Control Engineering) is organized by our department as well as several research groups of the TU Kaiserslautern:
- Technomathematics (Dep. of Mathematics)
- Mechatronics in Mechenical and Automotive Engineering (Dep. of Mechanical and Process Engineering)
- Automation Control (Dep. of Electrical and Computer Engineering)
- Electromobility (Dep. of Electrical and Computer Engineering)
The seminar takes place at the ITWM every 1st Tuesday of a month (besides holidays and summer break). Aims are broadening of experiences and exchange of scientific views – also beyond the organizing groups.
Typical subjects of talks are:
- ongoing or recently finished graduations and doctoral theses
- current research and projects
The topics vary from mathematical methods to technical implementations. Usually, the talks present research results. However, some show open issues for brainstorming and inputs from the audience.
The seminar »KL-Regelungstechnik« (Kaiserslautern – Control Theory and Control Engineering) is organized by our department as well as several research groups of the TU Kaiserslautern:
- Technomathematics (Dep. of Mathematics)
- Mechatronics in Mechenical and Automotive Engineering (Dep. of Mechanical and Process Engineering)
- Automation Control (Dep. of Electrical and Computer Engineering)
- Electromobility (Dep. of Electrical and Computer Engineering)
The seminar takes place at the ITWM every 1st Tuesday of a month (besides holidays and summer break). Aims are broadening of experiences and exchange of scientific views – also beyond the organizing groups.
Typical subjects of talks are:
- ongoing or recently finished graduations and doctoral theses
- current research and projects
The topics vary from mathematical methods to technical implementations. Usually, the talks present research results. However, some show open issues for brainstorming and inputs from the audience.