Abstract

Steady state simulations are an important method to investigate thermodynamic processes. This is especially true for innovative micro gas turbine (MGT) based cycles as the complexity of such systems grows. Therefore, steady state simulation tools are required which ensure large flexibility and computation robustness. As the increased system complexity result often in more extensive parameter studies also a fast computation speed is required. While a number of steady state simulation tools for micro gas turbine based systems are described and applied in literature, the solving process of such tools is rarely explained. However, this solving process is crucial to achieve a robust and fast computation within a physically meaningful range. Therefore, a new solver routine for a steady state simulation tool developed at the DLR Institute of Combustion Technology is presented in detail in this paper. The solver routine is based on Broyden’s method. It considers boundaries during the solving process to maintain a physically and technically meaningful solution process. Supplementary methods are implemented and described which improve the computation robustness and speed. Furthermore, some features of the resulting steady state simulation tool are presented. Exemplary applications of a hybrid power plant, an inverted Brayton cycle and an aircraft auxiliary power unit show the capabilities of the presented solver routine and the steady state simulation tool. It is shown that the new solver routine is superior to the standard Simulink algebraic solver in terms of system evaluation and robustness for the given applications.

Highlights

  • ASME Paper Title: A Highly Flexible Approach on the Steady-State Analysis of Innovative Micro Gas Turbine Cycles

  • Steady state simulations are an important method to investigate thermodynamic processes. This is especially true for innovative micro gas turbine (MGT) based cycles as the complexity of such systems grows

  • A new solver routine for a steady state simulation tool developed at the DLR Institute of Combustion Technology is presented in detail in this paper

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Summary

INTRODUCTION

Micro gas turbines (MGT) are a promising technol- support the investigation of innovative MGT based cyogy for a wide variety of stationary and mobile appli- cles Based on these requirements the so called global cations. If the concepts are combined or extended with exhaust gas recirculation, water injection or other modifications Experimental investigations of such cycles are limited by time and resources. Steady states calculation with process simulation tools provides a powerful method to investigate, develop and optimize such systems. Transient simulations compute more information than needed for steady state analysis in general In this case unknown process quantities are initialized with guess values and changed until deviations to the steady state vanish Such methods are used in several simulation tools, for example in the Gas Turbine Simulation Program

STEADY STATE PROCESS SIMULATION TOOLS
GLOBAL SOLVER
The main solution process must not use derivations
Broyden’s Method
Scaling
Global Solver Routine
Model Creation in Simulink MGTS3 is implemented in Matlab and Simulink
EXEMPLARY CASE STUDIES
Comparison to Simulink Algebraic Solver
Solver Comparison
Inverted Brayton Cycle The next demonstration case is based on an inverted
Findings
CONCLUSIONS AND OUTLOOK
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