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Aero-Propulsive Modeling for Propeller Aircraft Using Flight Data

Published Online:https://doi.org/10.2514/1.C036773

This paper describes methods to identify an integrated propulsion–airframe aerodynamic model and a decoupled propulsion model for fixed-wing aircraft with propellers using flight data. Propulsion aerodynamics and airframe aerodynamics for propeller aircraft are usually modeled separately, which fails to describe unavoidable interaction effects and propeller performance deviations when integrated on an aircraft. Two novel flight test system identification approaches are presented to develop flight dynamics models with improved characterization of propeller aerodynamics compared to conventional methods. Orthogonal phase-optimized multisine inputs are applied to both the control surfaces and propulsion system to generate data with high-quality information content for model identification. Propulsion explanatory variables derived from propeller aerodynamics theory combined with traditional aircraft modeling variables yield accurate aero-propulsive modeling results and provide propeller performance estimates, which are compared to isolated propeller wind tunnel data. An assessment of model adequacy using flight maneuvers withheld from model identification indicates that the models have good prediction capability. The paper describes application of these methods to a small unmanned aircraft, but the methods are generalizable to many propeller-driven aircraft.

References

  • [1] Brandt J. B. and Selig M. S., “Propeller Performance Data at Low Reynolds Numbers,” 49th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, AIAA Paper 2011-1255, Jan. 2011. https://doi.org/10.2514/6.2011-1255 LinkGoogle Scholar

  • [2] Deters R. W., Ananda G. K. and Selig M. S., “Reynolds Number Effects on the Performance of Small-Scale Propellers,” 32nd AIAA Applied Aerodynamics Conference, AIAA Paper 2014-2151, June 2014. https://doi.org/10.2514/6.2014-2151 LinkGoogle Scholar

  • [3] Dantsker O. D., Caccamo M., Deters R. W. and Selig M. S., “Performance Testing of Aero-Naut CAM Folding Propellers,” AIAA AVIATION 2020 Forum, AIAA Paper 2020-2762, June 2020. https://doi.org/10.2514/6.2020-2762 LinkGoogle Scholar

  • [4] Kimberlin R. D., Flight Testing of Fixed-Wing Aircraft, AIAA, Reston, VA, 2003, Chaps. 5–16. https://doi.org/10.2514/4.861840 LinkGoogle Scholar

  • [5] Gong A., Maunder H. and Verstraete D., “Development of an In-Flight Thrust Measurement System for UAVs,” 53rd AIAA/SAE/ASEE Joint Propulsion Conference, AIAA Paper 2017-5092, July 2017. https://doi.org/10.2514/6.2017-5092 LinkGoogle Scholar

  • [6] Sabzehparvar M., “In-Flight Thrust Measurements of Propeller-Driven Airplanes,” Journal of Aircraft, Vol. 42, No. 6, 2005, pp. 1543–1547. https://doi.org/10.2514/1.12837 LinkGoogle Scholar

  • [7] Bazin J. M., Fields T. D. and Smith A. J., “Feasibility of In-Flight Quadrotor Individual Motor Thrust Measurements,” AIAA Atmospheric Flight Mechanics Conference, AIAA Paper 2016-1760, Jan. 2016. https://doi.org/10.2514/6.2016-1760 LinkGoogle Scholar

  • [8] Bronz M. and Hattenberger G., “Aerodynamic Characterization of an Off-the-Shelf Aircraft via Flight Test and Numerical Simulation,” AIAA Flight Testing Conference, AIAA Paper 2016-3979, June 2016. https://doi.org/10.2514/6.2016-3979 LinkGoogle Scholar

  • [9] Bronz M., Garcia de Marina H. and Hattenberger G., “In-Flight Thrust Measurement Using On-Board Force Sensor,” AIAA Atmospheric Flight Mechanics Conference, AIAA Paper 2017-0698, Jan. 2017. https://doi.org/10.2514/6.2017-0698 LinkGoogle Scholar

  • [10] Bergmann D. P., Denzel J., Pfeifle O., Notter S., Fichter W. and Strohmayer A., “In-Flight Lift and Drag Estimation of an Unmanned Propeller-Driven Aircraft,” Aerospace, Vol. 8, No. 2, 2021, pp. 1–16. https://doi.org/10.3390/aerospace8020043 CrossrefGoogle Scholar

  • [11] Pfeifle O., Fichter W., Bergmann D., Denzel J., Strohmayer A., Schollenberger M. and Lutz T., “Precision Performance Measurements of Fixed-Wing Aircraft with Wing Tip Propellers,” AIAA Aviation 2019 Forum, AIAA Paper 2019-3088, June 2019. https://doi.org/10.2514/6.2019-3088 LinkGoogle Scholar

  • [12] Pfeifle O., Notter S., Fichter W., Paul Bergmann D., Denzel J. and Strohmayer A., “Verifying the Effect of Wingtip Propellers on Drag Through In-Flight Measurements,” Journal of Aircraft, Vol. 59, No. 2, 2022, pp. 474–483. https://doi.org/10.2514/1.C036490 LinkGoogle Scholar

  • [13] Ahsun U., Badar T., Tahir S. and Aldosari S., “Real-Time Identification of Propeller-Engine Parameters for Fixed Wing UAVs,” IFAC-PapersOnLine, Vol. 48, No. 28, 2015, pp. 1082–1087. https://doi.org/10.1016/j.ifacol.2015.12.275 CrossrefGoogle Scholar

  • [14] Perez T., de Lamberterie P., Donaire A. and Herrero E. R., “Parameter Estimation of Thrust Models of Uninhabited Airborne Systems,” IFAC Proceedings Volumes, Vol. 43, No. 16, 2010, pp. 354–359. https://doi.org/10.3182/20100906-3-IT-2019.00062 CrossrefGoogle Scholar

  • [15] Perry A. T., Bretl T. and Ansell P. J., “System Identification and Dynamics Modeling of a Distributed Electric Propulsion Aircraft,” AIAA Aviation 2019 Forum, AIAA Paper 2019-3086, June 2019. https://doi.org/10.2514/6.2019-3086 LinkGoogle Scholar

  • [16] Simmons B. M., “System Identification for eVTOL Aircraft Using Simulated Flight Data,” AIAA SciTech 2022 Forum, AIAA Paper 2022-2409, Jan. 2022. https://doi.org/10.2514/6.2022-2409 LinkGoogle Scholar

  • [17] Yuksek B., Saldiran E., Cetin A., Yeniceri R. and Inalhan G., “System Identification and Model-Based Flight Control System Design for an Agile Maneuvering Quadrotor Platform,” AIAA SciTech 2020 Forum, AIAA Paper 2020-1835, Jan. 2020. https://doi.org/10.2514/6.2020-1835 LinkGoogle Scholar

  • [18] Kaputa D. S. and Owens K. J., “Quadrotor Drone System Identification via Model-Based Design and In-Flight Sine Wave Injections,” AIAA SciTech 2020 Forum, AIAA Paper 2020-1238, Jan. 2020. https://doi.org/10.2514/6.2020-1238 LinkGoogle Scholar

  • [19] Gremillion G. and Humbert J. S., “System Identification of a Quadrotor Micro Air Vehicle,” AIAA Atmospheric Flight Mechanics Conference, AIAA Paper 2010-7644, Aug. 2010. https://doi.org/10.2514/6.2010-7644 LinkGoogle Scholar

  • [20] Sun S., Schilder R. J. and de Visser C. C., “Identification of Quadrotor Aerodynamic Model from High Speed Flight Data,” 2018 AIAA Atmospheric Flight Mechanics Conference, AIAA Paper 2018-0523, Jan. 2018. https://doi.org/10.2514/6.2018-0523 LinkGoogle Scholar

  • [21] Gong A., Sanders F. C., Hess R. A. and Tischler M. B., “System Identification and Full Flight-Envelope Model Stitching of a Package-Delivery Octocopter,” AIAA SciTech 2019 Forum, AIAA Paper 2019-1076, Jan. 2019. https://doi.org/10.2514/6.2019-1076 LinkGoogle Scholar

  • [22] Cho S. H., Bhandari S., Sanders F. C., Cheung K. K. and Tischler M. B., “System Identification and Controller Optimization of Coaxial Quadrotor UAV in Hover,” AIAA SciTech 2019 Forum, AIAA Paper 2019-1075, Jan. 2019. https://doi.org/10.2514/6.2019-1075 LinkGoogle Scholar

  • [23] Wei W., Cohen K. and Tischler M. B., “System Identification and Controller Optimization of a Quadrotor UAV,” AHS 71st Annual Forum, American Helicopter Soc., Fairfax, VA, May 2015, pp. 1–10. Google Scholar

  • [24] Tobias E. L., Sanders F. C. and Tischler M. B., “Full-Envelope Stitched Simulation Model of a Quadcopter Using STITCH,” AHS International 74th Annual Forum & Technology Display, American Helicopter Soc., Fairfax, VA, May 2018, pp. 1–17. Google Scholar

  • [25] Niermeyer P., Raffler T. and Holzapfel F., “Open-Loop Quadrotor Flight Dynamics Identification in Frequency Domain via Closed-Loop Flight Testing,” AIAA Guidance, Navigation, and Control Conference, AIAA Paper 2015-1539, Jan. 2015. https://doi.org/10.2514/6.2015-1539 LinkGoogle Scholar

  • [26] González-Rocha J., Woolsey C. A., Sultan C. and De Wekker S. F. J., “Sensing Wind from Quadrotor Motion,” Journal of Guidance, Control, and Dynamics, Vol. 42, No. 4, 2019, pp. 836–852. https://doi.org/10.2514/1.G003542 LinkGoogle Scholar

  • [27] Cunningham M. A. and Hubbard J. E., “Open-Loop Linear Model Identification of a Multirotor Vehicle with Active Feedback Control,” Journal of Aircraft, Vol. 57, No. 6, 2020, pp. 1044–1061. https://doi.org/10.2514/1.C035834 LinkGoogle Scholar

  • [28] Morelli E. A. and Klein V., Aircraft System Identification: Theory and Practice, 2nd ed., Sunflyte Enterprises, Williamsburg, VA, 2016. Google Scholar

  • [29] Murphy P. C. and Landman D., “Experiment Design for Complex VTOL Aircraft with Distributed Propulsion and Tilt Wing,” AIAA Atmospheric Flight Mechanics Conference, AIAA Paper 2015-0017, Jan. 2015. https://doi.org/10.2514/6.2015-0017 LinkGoogle Scholar

  • [30] Simmons B. M. and Murphy P. C., “Aero-Propulsive Modeling for Tilt-Wing, Distributed Propulsion Aircraft Using Wind Tunnel Data,” Journal of Aircraft, March 2022, pp. 1–17 (Article in Advance). https://doi.org/10.2514/1.C036351 Google Scholar

  • [31] Perry A. T., Ansell P. J. and Kerho M. F., “Aero-Propulsive and Propulsor Cross-Coupling Effects on a Distributed Propulsion System,” Journal of Aircraft, Vol. 55, No. 6, 2018, pp. 2414–2426. https://doi.org/10.2514/1.C034861 LinkGoogle Scholar

  • [32] Perry A. T., Bretl T. and Ansell P. J., “Aero-Propulsive Coupling Effects on a General-Aviation Aircraft with Distributed Electric Propulsion,” Journal of Aircraft, Vol. 58, No. 6, 2021, pp. 1351–1363. https://doi.org/10.2514/1.C036048 LinkGoogle Scholar

  • [33] Brandon J. M. and Morelli E. A., “Real-Time Onboard Global Non-Linear Aerodynamic Modeling from Flight Data,” Journal of Aircraft, Vol. 53, No. 5, 2016, pp. 1261–1297. https://doi.org/10.2514/1.C033133 LinkGoogle Scholar

  • [34] Morelli E. A., “Practical Aspects of Real-Time Modeling for the Learn-to-Fly Concept,” 2018 Atmospheric Flight Mechanics Conference, AIAA Paper 2018-3309, June 2018. https://doi.org/10.2514/6.2018-3309 LinkGoogle Scholar

  • [35] Morelli E. A., “Autonomous Real-Time Global Aerodynamic Modeling in the Frequency Domain,” AIAA SciTech 2020 Forum, AIAA Paper 2020-0761, Jan. 2020. https://doi.org/10.2514/6.2020-0761 LinkGoogle Scholar

  • [36] Jategaonkar R. V., Flight Vehicle System Identification: A Time-Domain Methodology, 2nd ed., AIAA, Reston, VA, 2015. https://doi.org/10.2514/4.102790 CrossrefGoogle Scholar

  • [37] Simmons B. M., “System Identification of a Nonlinear Flight Dynamics Model for a Small, Fixed-Wing UAV,” Master’s Thesis, Virginia Polytechnic Inst. and State Univ., Blacksburg, VA, April 2018. Google Scholar

  • [38] Simmons B. M., McClelland H. G. and Woolsey C. A., “Nonlinear Model Identification Methodology for Small, Fixed-Wing, Unmanned Aircraft,” Journal of Aircraft, Vol. 56, No. 3, 2019, pp. 1056–1067. https://doi.org/10.2514/1.C035160 LinkGoogle Scholar

  • [39] Gresham J. L., Simmons B. M., Fahmi J.-M. W. and Woolsey C. A., “Remote Uncorrelated Pilot Inputs for Nonlinear Aerodynamic Model Identification from Flight Data,” AIAA AVIATION 2021 Forum, AIAA Paper 2021-2792, Aug. 2021. https://doi.org/10.2514/6.2021-2792 LinkGoogle Scholar

  • [40] Gresham J. L., Fahmi J.-M. W., Simmons B. M., Hopwood J. W., Foster W. and Woolsey C. A., “Flight Test Approach for Modeling and Control Law Validation for Unmanned Aircraft,” AIAA SciTech 2022 Forum, AIAA Paper 2022- 2406, Jan. 2022. https://doi.org/10.2514/6.2022-2406 LinkGoogle Scholar

  • [41] Gresham J. L., Simmons B. M., Hopwood J. W. and Woolsey C. A., “Spin Aerodynamic Modeling for a Fixed-Wing Aircraft Using Flight Data,” AIAA SciTech 2022 Forum, AIAA Paper 2022-1160, Jan. 2022. https://doi.org/10.2514/6.2022-1160 LinkGoogle Scholar

  • [42] McCormick B. W., Aerodynamics, Aeronautics, and Flight Mechanics, 2nd ed., Wiley, New York, 1995, Chap. 6. Google Scholar

  • [43] Dommasch D. O., Elements of Propeller and Helicopter Aerodynamics, Pitman Publishing Corp., New York, 1953, Chaps. 1–3. Google Scholar

  • [44] Phillips W. F., Mechanics of Flight, 2nd ed., Wiley, Hoboken, NJ, 2010, Chap. 2. Google Scholar

  • [45] Greitzer E. M., Spakovszky Z. S. and Waitz I. A., “Thermodynamics and Propulsion,” Lecture Notes, Massachusetts Inst. of Technology, 2006, Chap. 11, http://web.mit.edu/16.unified/www/FALL/thermodynamics/notes/node86.html [retrieved 7 Nov. 2021]. Google Scholar

  • [46] Singleton J. D. and Yeager W. T., “Important Scaling Parameters for Testing Model-Scale Helicopter Rotors,” Journal of Aircraft, Vol. 37, No. 3, 2000, pp. 396–402. https://doi.org/10.2514/2.2639 LinkGoogle Scholar

  • [47] Leishman J. G., Principles of Helicopter Aerodynamics, 2nd ed., Cambridge Univ. Press, Cambridge, England, U.K., 2016, Chap. 7. Google Scholar

  • [48] Brandt J. B., Deters R. W., Ananda G. K., Dantsker O. D. and Selig M. S., UIUC Propeller Database, Vol. 3, Univ. of Illinois at Urbana-Champaign, 2020, https://m-selig.ae.illinois.edu/props/propDB.html [retrieved 16 Oct. 2021]. Google Scholar

  • [49] Morelli E. A., “Multiple Input Design for Real-Time Parameter Estimation in the Frequency Domain,” 13th IFAC Conference on System Identification, International Federation of Automatic Control (IFAC), Paper REG-360, 2003. https://doi.org/10.1016/S1474-6670(17)34833-4 Google Scholar

  • [50] Morelli E. A., “Flight-Test Experiment Design for Characterizing Stability and Control of Hypersonic Vehicles,” Journal of Guidance, Control, and Dynamics, Vol. 32, No. 3, 2009, pp. 949–959. https://doi.org/10.2514/1.37092 LinkGoogle Scholar

  • [51] Morelli E. A., “Practical Aspects of Multiple-Input Design for Aircraft System Identification Flight Tests,” AIAA AVIATION 2021 Forum, AIAA Paper 2021-2795, Aug. 2021. https://doi.org/10.2514/6.2021-2795 LinkGoogle Scholar

  • [52] Morelli E. A. and Klein V., “Accuracy of Aerodynamic Model Parameters Estimated from Flight Test Data,” Journal of Guidance, Control, and Dynamics, Vol. 20, No. 1, 1997, pp. 74–80. https://doi.org/10.2514/2.3997 LinkGoogle Scholar

  • [53] Morelli E. A., “Practical Aspects of the Equation-Error Method for Aircraft Parameter Estimation,” AIAA Atmospheric Flight Mechanics Conference and Exhibit, AIAA Paper 2006-6144, Aug. 2006. https://doi.org/10.2514/6.2006-6144 LinkGoogle Scholar

  • [54] Gustafsson F., “Determining the Initial States in Forward-Backward Filtering,” IEEE Transactions on Signal Processing, Vol. 44, No. 4, 1996, pp. 988–992. https://doi.org/10.1109/78.492552 CrossrefGoogle Scholar

  • [55] Morelli E. A., “Global Nonlinear Aerodynamic Modeling Using Multivariate Orthogonal Functions,” Journal of Aircraft, Vol. 32, No. 2, 1995, pp. 270–277. https://doi.org/10.2514/3.46712 LinkGoogle Scholar

  • [56] Morelli E., “Efficient Global Aerodynamic Modeling from Flight Data,” 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, AIAA Paper 2012-1050, Jan. 2012. https://doi.org/10.2514/6.2012-1050 LinkGoogle Scholar

  • [57] Morelli E. A., “Real-Time Global Nonlinear Aerodynamic Modeling for Learn-to-Fly,” AIAA Atmospheric Flight Mechanics Conference, AIAA Paper 2016-2010, Jan. 2016. https://doi.org/10.2514/6.2016-2010 LinkGoogle Scholar

  • [58] Barron A. R., “Predicted Squared Error: A Criterion for Automatic Model Selection,” Self-Organizing Methods in Modeling, edited by Farlow S. J., Marcel Dekker, Inc., New York, 1984, pp. 87–104. Google Scholar

  • [59] Klein V., Batterson J. G. and Murphy P. C., “Determination of Airplane Model Structure from Flight Data by Using Modified Stepwise Regression,” NASA TP-1916, Oct. 1981. Google Scholar

  • [60] Grauer J. A., Morelli E. A. and Murri D. G., “Flight-Test Techniques for Quantifying Pitch Rate and Angle-of-Attack Rate Dependencies,” Journal of Aircraft, Vol. 54, No. 6, 2017, pp. 2367–2377. https://doi.org/10.2514/1.C034407 LinkGoogle Scholar

  • [61] Grauer J. A. and Morelli E. A., “Generic Global Aerodynamic Model for Aircraft,” Journal of Aircraft, Vol. 52, No. 1, 2015, pp. 13–20. https://doi.org/10.2514/1.C032888 LinkGoogle Scholar

  • [62] Kuhn R. E. and Draper J. W., “Investigation of the Aerodynamic Characteristics of a Model Wing-Propeller Combination and of the Wing and Propeller Separately at Angles of Attack up to 90 Degrees,” NACA TR-1263, 1956. Google Scholar

  • [63] McCormick B. W., Aerodynamics of V/STOL Flight, Dover, Mineola, NY, 1999, Chaps. 4, 8. Google Scholar

  • [64] Simmons B. M., “System Identification for Propellers at High Incidence Angles,” Journal of Aircraft, Vol. 58, No. 6, 2021, pp. 1336–1350. https://doi.org/10.2514/1.C036329 LinkGoogle Scholar

  • [65] Gallais P., Atmospheric Re-Entry Vehicle Mechanics, Springer, New York, 2007, Chap. 4. CrossrefGoogle Scholar

  • [66] Simmons B. M. and Hatke D. B., “Investigation of High Incidence Angle Propeller Aerodynamics for Subscale eVTOL Aircraft,” NASA TM-20210014010, May 2021. Google Scholar

  • [67] Yaggy P. F. and Rogallo V. L., “A Wind-Tunnel Investigation of Three Propellers Through an Angle-of-Attack Range from 0° to 85°,” NASA TN D-318, May 1960. Google Scholar

  • [68] Morelli E. A., “Determining Aircraft Moments of Inertia from Flight Test Data,” Journal of Guidance, Control, and Dynamics, Vol. 45, No. 1, 2022, pp. 4–14. https://doi.org/10.2514/1.G006072 LinkGoogle Scholar

  • [69] Khan W. and Nahon M., “Development and Validation of a Propeller Slipstream Model for Unmanned Aerial Vehicles,” Journal of Aircraft, Vol. 52, No. 6, 2015, pp. 1985–1994. https://doi.org/10.2514/1.C033118 LinkGoogle Scholar