Nonlinear modeling of regenerative cycle micro gas turbine

In this paper, a nonlinear mathematical model of modern regenerative MGT (micro gas turbine) with superior accuracy is developed. The regenerator can improve efficiency and slow dynamic response of MGT. In view of its significant influence on MGT performance, the average static and dynamic model of the regenerator is included. In order to get more accurate mathematical description for off-design condition performance characteristic of compressor and turbine, nonlinear analytical expressions of compressor and turbine are employed instead of polynomial approximate expressions. The specific expressions of nonlinear state space equations are deduced in this paper. Static simulation results prove the correctness and validity of the model. In this paper, the new model is adopted to analyze dynamic characteristic of MGT having regenerator. The new nonlinear model can be used to thoroughly study performance characteristic of MGT and design superior nonlinear controller.

[1]  Stephanie L. Hamilton.  Project title: micro turbine generator program , 2000, Proceedings of the 33rd Annual Hawaii International Conference on System Sciences.

[2]  T. S. Kim,et al.  Part load performance analysis of recuperated gas turbines considering engine configuration and operation strategy , 2006 .

[3]  S. Chowdhury,et al.  Modeling and Performance Analysis of a Microturbine as a Distributed Energy Resource , 2009, IEEE Transactions on Energy Conversion.

[4]  Gábor Szederkényi,et al.  Nonlinear reference tracking control of a gas turbine with load torque estimation , 2008 .

[5]  Gábor Szederkényi,et al.  Nonlinear model-building of a low-power gas turbine , 2001 .

[6]  Harold Gold,et al.  A method for estimating speed response of gas-turbine engines , 1952 .

[7]  Huisheng Zhang,et al.  Dynamic Modeling and Simulation of Distributed Parameter Heat Exchanger , 2005 .

[8]  Aristide F. Massardo,et al.  Micro Gas Turbine Recuperator: Steady-State and Transient Experimental Investigation , 2010 .

[9]  W. I. Rowen,et al.  Simplified Mathematical Representations of Heavy-Duty Gas Turbines , 1983 .

[10]  C. F. McDonald.  A Review on Heat Recovery Exchangers for Very Small Engines , 1996 .

[11]  Jiandong Duan,et al.  Study on high-speed permanent magnet synchronous generators with PWM rectifier for microturbines , 2011, 2011 International Conference on Electrical Machines and Systems.

[12]  Seyed Mostafa Hosseinalipour,et al.  Static and Dynamic Mathematical Modeling of a Micro Gas Turbine , 2013 .

[13]  J.V. Milanovic,et al.  Overview and Comparative Analysis of Gas Turbine Models for System Stability Studies , 2008, IEEE Transactions on Power Systems.

[14]  Na Zhang,et al.  General characteristics of single shaft microturbine set at variable speed operation and its optimization , 2004 .

[15]  Gábor Szederkényi,et al.  Nonlinear zero dynamics analysis and control of a low power gas turbine. (Research report SCL-003/2005.) , 2004 .

[16]  P. Kundur,et al.  Dynamics models for combines cycle plants in power system studies , 1994 .

[17]  T. S. Kim,et al.  Analysis of the dynamic behaviour of regenerative gas turbines , 2001 .

[18]  Bernardo Fortunato,et al.  Dynamic modelling of recuperative gas turbines , 2000 .

[19]  William I. Rowen,et al.  Simplified Mathematical Representations of Single Shaft Gas Turbines in Mechanical Drive Service , 1992 .

[20]  Na Zhang,et al.  Analytical solutions and typical characteristics of part-load performances of single shaft gas turbine and its cogeneration , 2002 .