Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-06T04:24:25.624Z Has data issue: false hasContentIssue false
  • English
  • Français

Static and Dynamic Mathematical Modeling of a Micro Gas Turbine

Published online by Cambridge University Press:  29 January 2013

S. M. Hosseinalipour ,
E. Abdolahi  and
M. Razaghi
S. M. Hosseinalipour*
Affiliation:
CAE Center and DFC Lab., Faculty of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
E. Abdolahi
Affiliation:
CAE Center and CFD Lab., Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
M. Razaghi
Affiliation:
CAE Center and CFD Lab., Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
*
*Corresponding author ([email protected])
Get access

Abstract

This paper presents a static and linear dynamic model to simulate the performance of a Micro Gas Turbine (MGT). The static model is obtained using thermodynamic equations and maps of the components to determine off design performance of the MGT with constant output power. The linear dynamic model is developed using linearized static and dynamic nonlinear equations around an operating point as state-space model to predict the behaviour of the MGT in transient conditions. To validate the results of the static model, important information such as fuel flow, fuel to air ratio, and turbine inlet temperature are compared with the results of Aspen-HYSYS software during an increase in ambient temperature. In addition, static model results are compared with experimental data of the MGT test by previous studies. Also, the compressor equilibrium running line of the MGT is derived in constant ambient condition. In order to evaluate the linear dynamic model, the verification is performed using the results of nonlinear model of previous studies. The comparison between the results confirms the ability of proposed dynamic model to simulate a MGT while decreasing the computational effort and complexity of equations. Moreover, a comparison is carried out between static model results and steady state values predicted by dynamic model.

Keywords

Linear dynamic modelMicro Gas Turbine (MGT)Static modelSimulation
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 2 , June 2013 , pp. 327 - 335
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Hamilton, S. L., “Micro Turbine Generator Program,” Proceedings of the 33rd Hawaii International Conference on System Sciences, IEEE (2000).Google Scholar
2.Galanti, L. and Massardo, A. F., “Micro Gas Turbine Thermodynamic and Economic Analysis Up to 500 Kwe Size,” Applied Energy, 88, pp. 4795–4802 (2011).CrossRefGoogle Scholar
3.Scott, W. G., “Micro-Turbine Generators for Distribution Systems,” Industry Applications Magazine, IEEE, pp. 57–62 (1998).Google Scholar
4.Moya, M., Bruno, J. C., Eguia, P., Torres, E., Zamora, I. and Coronas, A., “Performance Analysis of a Trigeneration System Based on a Micro Gas Turbine and an Air-Cooled, Indirect Fired, Ammonia-Water Absorption Chiller,” Applied Energy, 88, pp. 4424–4440 (2011).Google Scholar
5.Esmaili, R., Das, D., Klapp, D. A., Dernici, O. and Nichols, D. K., “A Novel Power Conversion System for Distributed Energy Resources,” Proceedings of the Power Engineering Society General Meeting, IEEE (2006).Google Scholar
6.Velumani, S., Guzman, C. E., Peniche, R. and Vega, R., “Proposal of a Hybrid CHP System: SOFC/Microturbine/Absorption Chiller,” International Journal of Energy Research, 34, pp. 1088–1095 (2010).CrossRefGoogle Scholar
7.Vidal, A., Bruno, J. C., Best, R. and Coronas, A., “Performance Characteristics and Modelling of a Micro Gas Turbine for Their Integration with Thermally Activated Cooling Technologies,” International Journal of Energy Research, 31, pp. 119–134 (2007).CrossRefGoogle Scholar
8.Moran, A., Mago, P. J. and Chamra, L. M., “Thermoeconomic Modeling of Micro-CHP (Micro-Cooling, Heating, and Power) for Small Commercial Applications,” International Journal of Energy Research, 32, pp. 808–823 (2008).Google Scholar
9.Mago, P. J., Chamra, L. M. and Huffed, A., “A Review on Energy, Economical, and Environmental Benefits of the Use of CHP Systems for Small Commercial Buildings for the North American Climate,” International Journal of Energy Research, 33, pp. 1252–1265 (2009).Google Scholar
10.Walsh, P. P. and Fletcher, P., Gas Turbine Performance, 2nd Edition, Blackwell Science Ltd (2004).Google Scholar
11.Rho, M. S., Kim, G. R., Choi, Y. K. and Chae, M. S., “Development of Power Conditioning System for a Microturbine in Vehicle,” Proceedings of Power Electronics Specialists Conference, IEEE, pp. 1496–1501 (2007).Google Scholar
12.Lasseter, R. H., “Microgrids and Distributed Generation,” Journal of Energy Engineering, American Society of Civil Engineering, 133, pp. 144–149 (2007).Google Scholar
13.Rizy, D. T., Lawler, J. S., Patton, J. B. and Nelson, W. R., “Measuring and Analyzing the Impact of Voltage and Capacitor Control with High Speed Data Acquisition: Distribution System, Power Delivery,” IEEE Transactions on Power Delivery, 4, pp. 704–714 (1989).Google Scholar
14.Tsai, B. J. and Wang, Y. L., “A Novel Swiss-Roll Recuperator for the Microturbine Engine,” Applied Thermal Engineering, 29, pp. 216–223 (2009).Google Scholar
15.Gold, H. and Rosenweig, S., “A Method for Estimating Speed Response of Gas-Turbine Engines,” National Advisory Committee for Aeronautics (Washington), Research Memorandum (1952).Google Scholar
16.Saravanamutto, H. I. H. and Fawke, A. J., “Simulation of Gas Turbine Dynamic Performance,” ASME Gas Turbine Conference, 70-GT-23, pp. 1–8 (1970).Google Scholar
17.Ailer, P., Santa, I., Szederkenyi, G. and Hangos, K. M., “Nonlinear Model-Building of a Low-Power Gas Turbine,” Periodica Polytechnica Transportation Engineering, 29, pp. 117–135 (2001).Google Scholar
18.Kulikov, G. G. and Thompson, H. A., Dynamic Modelling of Gas Turbines: Identification, Simulation, Condition Monitoring and Optimal Control, Springer (2004).Google Scholar
19.Montazeri-Gh, M., Jafari, S. and Ilkhani, M. R., “Application of Particle Swarm Optimization in Gas Turbine Engine Fuel Controller Gain Tuning,” Engineering Optimization, 44, pp. 225–240 (2012).Google Scholar
20.Jurado, F., “Modelling Micro-Turbines Using Hammerstein Models,” International Journal of Energy Research, 29, pp. 841–855 (2005).Google Scholar
21.Haugywitz, S., “Modelling of Microturbine Systems,” Department of Automatic Control, Lund Institute of Technology (2002).Google Scholar
22.Jackson, D., Investigation of State Space Architectures for Engine Models, Rolls Royce plc, Report (1988).Google Scholar
23. Staff at section APD5., “Thermodynamic Model of the Spey Engine,” Linearised for Rolls Royce by Stirling Dynamic Ltd, DRA Pyestock (1993).Google Scholar
24.Daniele, C. J., Blaha, R. J. and Seldner, K., “Prediction of Axial-Flow Instabilities in a Turbojet Engine by Use of a Multistage Compressor Simulation on the Digital Computer,” NASA TM X-3134 (1975).Google Scholar
25.Evans, C., Chiras, N., Guillaume, P. and Rees, D., “Multivariable Modelling of Gas Turbine Dynamic,” Congress, , UK (2001).CrossRefGoogle Scholar
26. Aspen Technology, AspenOne Hysys Software (2006).Google Scholar
27.Ailer, P., Szederkenyi, G. and Hangos, K. M., “Model-Based Nonlinear Control of a Low-Power Gas Turbine,” Proceeding of the 15th IFAC World Congress on Automatic Control, Barcelona, Spain, pp. 1–6 (2002).Google Scholar
28.Wendig, I. D., Bio Fuel in Micro Gas Turbine, Report, Rostock University, Brussels (2004).Google Scholar
29.Al-Hamdan, Q. Z. and Ebail, M. S. Y., “Modelling and Simulation of a Gas Turbine Engine for Power Generation,” Journal of Engineering for Gas Turbines And Power, 128, pp. 302–311 (2006).Google Scholar
30.Pomgracz, B., Ailer, P., Hangos, K. M. and Szederkenyi, G., “Nonlinear Reference Tracking Control of a Gas Turbine with Load Torque Estimation,” International Journal of Adaptive Control Signal Processing, 22, pp. 757–773 (2008).Google Scholar