Abstract
Pressure gain combustion has been proposed to exploit superior thermodynamic cycles in gas turbines. However, further research on their integration is needed to reduce the induced negative effects on the last stages of a compressor. In this contribution, mitigation results on the effects of periodic disturbances on an annular compressor stator rig are presented and compared for different closed-loop controllers. Instead of a real, unsteady combustion setup, a rotating disc was installed to create periodic disturbances downstream of each passage. Pneumatic active flow control served to influence the suction side of each stator blade.
With steady blowing actuation, the effects of periodically induced disturbances could not be explicitly addressed and led to worse results compared to the closed-loop versions. For closed-loop control, a clear recommendation for a class of learning approaches can be given. Finally, an evaluation of the efficiency of flow control is presented with a refined characterization of the actuation effort.
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Notes
- 1.
This, of course, assumes that the cascade is rotational symmetric, all passages behave exactly the same, and other local disturbances do not occur.
- 2.
The offset of the cost function is ignored here because it is not essential for the optimization program.
- 3.
Meaning the \(n_{}-1\) time steps that are not used for solving the original BQP.
- 4.
Note: Because the disturbance induced by the throttling disc is periodic, a period angle \(\varphi \) can be defined.
- 5.
This results when fluctuating binary trajectories are averaged over several cycles.
References
Zander, V., Nitsche, W.: Control of secondary flow structures on a highly loaded compressor cascade. Proc. IMechE Part A J. Power Energy 227(6), 674 (2013)
Cattafesta III, L.N., Sheplak, M.: Actuators for active flow control. Ann. Rev. Fluid Mech. 43(1), 247 (2011)
Anthoine, J., et al.: Measurements Techniques in Fluid Dynamics - An Introduction, 3rd revised edn, Von Karman Institute for Fluid Dynamics, Rhode-Saint-Genese (2009)
Fietzke, B., King, R., Mihalyovics J., Peitsch, D.: Binary repetitive model predictive active flow control applied to an annular compressor stator cascade with periodic disturbances. In: Proceedings of ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition, GT2021-58744, vol. 4, p. V004T05A003 (2021)
Schmid, C., Biegler, L.T.: Quadratic programming methods for reduced Hessian SQP. Comput. Chem. Eng. 18(9), 817 (1994)
Morrison, D.R., Jacobson, S.H., Sauppe, J.J., Sewell, E.C.: Branch-and-bound algorithms: a survey of recent advances in searching, branching, and pruning. Discrete Optim. 19, 79 (2016)
Schäpel, J.S., King, R., Yücel, F., Völzke, F., Paschereit, C.O., Klein, R.: Fuel injection control for a valve array in a shockless explosion combustor. In: Proceedings of the ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, GT2018-75295, vol. 6, p. V006T05A007 (2018)
Bar-Shalom, Y., Li, X.-R., Kirubarajan, T.: Estimation with Applications to Tracking and Navigation: Theory Algorithms and Software. John Wiley & Sons, Hoboken (2004)
Cumpsty, N.A., Horlock, J.H.: Averaging nonuniform flow for a purpose. J. Turbomach. 128(1), 120 (2006)
Steinberg, S.J., King, R.: Closed-loop active flow control of repetitive disturbances in a linear stator cascade. In: 2018 Flow Control Conference AIAA 2018-3689, p. 3689 (2018)
Steinberg, S.J., King, R.: Efficiency of active flow control in an unsteady stator vane flow field. In: Radespiel, R., Semaan, R. (eds.) Fundamentals of High Lift for Future Civil Aircraft. NNFMMD, vol. 145, pp. 631–648. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-52429-6_38
Acknowledgements
The authors gratefully acknowledge the support of the Deutsche Forschungsgemeinschaft (DFG) as part of collaborative research center SFB 1029 “Substantial efficiency increase in gas turbines through direct use of coupled unsteady combustion and flow dynamics” on projects B01 and B06.
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Fietzke, B., Mihalyovics, J., King, R., Peitsch, D. (2022). A Comparison of Optimal, Binary Closed-Loop Active Flow Control Applied to an Annular Compressor Stator Cascade with Periodic Disturbances. In: King, R., Peitsch, D. (eds) Active Flow and Combustion Control 2021. AFCC 2021. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 152 . Springer, Cham. https://doi.org/10.1007/978-3-030-90727-3_20
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