Comprehensive Survey of Micro Turbojet Experimentation: Sensor Technologies, Methodologies, and Research Trends
Abstract
1. Introduction
2. Fundamentals of Micro-Turbojet Engine and Experimental Requirements
- 1.
- Inlet with starter motor: gathers ambient air and effectively directs it with low pressure loss to the compressor. The starter motor is responsible for starting the engine until it reaches its ideal operational speed. The starter motor can also restart the engine in flight.
- 2.
- 3.
- 4.
- Turbine: Usually a single-stage axial-flow turbine is used in MTEs. Its main purpose is to drive the compressor utilizing the hot combustion gases by extracting enough energy. It is mechanically connected by a shaft with the compressor [3].
- 5.
- Nozzle: Newton’s second and third laws allow a convergent (or occasionally convergent-divergent) nozzle to accelerate the remaining hot, high-pressure gases to a high exhaust velocity, hence producing thrust [12].
- Specific Fuel Consumption (SFC): defined as the fuel flow rate per unit of thrust (kg/h.N or lb/h.lbf), a gauge of engine fuel efficiency. Extending flight range and endurance depends on minimizing SFC [17].
- Rotational speed (RPM): Usually expressed in revolutions per minute, the speed of the primary shaft connecting the compressor and turbine. It is an indication of the mechanical load of the engine and in engine modeling, the RPM is the output from the model and indicate the output power from the engine. MTEs run at very high RPMs often over 100,000 RPM.
- Efficiencies: Measured characteristics that allow one to derive various efficiencies, including thermal efficiency, propulsive efficiency, and component efficiencies (compressor, combustor, turbine) [13].
- Performance Map: There are several academic research programs on micro gas turbines aimed at enhancing their performance. This involves changes to the design of the MGTs compressor and turbine stages, new combustor designs, and combustion analysis. These studies have yielded improved engine performance by controlling specific fuel consumption, pressure ratio, cycle peak temperature, system pressure losses, turbine and compressor efficiencies, and required power [5].
- Understanding off-design behavior: Essential for operability and control system design, it aids in assessing the engine’s performance beyond its ideal design point [10].
- Component Interaction: To investigate how various engine components interact with each other under different running situations and their compatibility.
- Higher Rotational Speeds: The high RPMs call for high-frequency data capture for transient events, strong rotor dynamic design, and specialized bearings.
- Tip Clearance Effects: Small turbomachinery with relative tip clearances larger as a percentage of blade height will create increased leakage losses.
- Lower mass flow rates: This affects not just accuracy and sensor choice but also presents an additional challenge to correctly measure air and fuel flow.
- Accessibility of instrumentation: Installing large internal instrumentation (e.g., inter-stage pressure and temperature sensors) without appreciably upsetting the flow or engine integrity is challenging, given the small size.
- Relative heat losses: from the engine casing can be more important due to a greater surface area-to-volume ratio, hence possibly influencing thermal efficiency and EGT values [13].
- Engineering Tolerances: MTE performance may be substantially affected by small production differences.
3. Sensor Technologies in MTE Experimentation
3.1. Pressure Measurement
3.2. Temperature Measurement
3.3. Rotational Speed (RPM) Measurement
3.4. Thrust Measurement
3.5. Fuel Flow Measurement
3.6. Air Flow Measurement
3.7. Vibration and Acoustic Sensors
3.8. Advanced and Specialized Sensors
4. Experimental Methodologies for Performance and Operational Characterization
4.1. Steady-State Performance Mapping
4.2. Transient Performance Analysis
4.3. Component-Level Characterization
4.4. Operability and Stability Testing
4.5. Test Bed Design, Calibration, and Data Validation
5. Alternative Fuels and Emissions Characterization in MTE Experimentation
5.1. Alternative Fuels in MTEs: Motivation and Experimental Approaches
5.2. Emissions Characterization: Sensors and Methodologies
- A.
- B.
- Particulate Matter (PM) Measurement: One of the basic concerns in emission is PM, including black carbon (BC) [41]. Among the techniques are gravimetric approaches (filters), particle size and counting (SMPS, CPCs), and real-time BC measurement (aethalometers, photoacoustic sensors). Managing high exhaust velocity/temperature presents challenges; often, this calls for dilution systems [23].
- C.
- Exhaust Toxicity Evaluation: Some studies evaluate general toxicological effects of emissions from new fuels using bioassays (such as BAT-CELL technique [24]).
- D.
6. Control System and Engine Model Experimental Validation
6.1. Hardware-in-the-Loop (HIL) Simulation
- ECU-within-the-Loop: Real-time dynamic models of the MTE running on a simulator are verified against the actual Engine Control Unit (ECU) hardware. This enables thorough testing of the control logic of the ECU, response to simulated sensor inputs, and fault handling features free from risk to a real engine.
- Engine-in-the-Loop (less common for whole MTEs due to complexity, but components can be): A simulated ECU or overall system model controls a real MTE or essential engine component such as a fuel pump or actuators. If a full engine test is neither practical nor safe for particular control system test phases [29], more often a specific MTE hardware simulator (a physical rig that simulates engine outputs based on ECU commands) may be employed [29].
- Rapid Control Prototyping: enables fast iteration and testing of several control strategies and parameter adjustment [43].
- Extreme Condition Safe Testing: helps to evaluate control system performance under fault conditions, extreme operating points, or environmental changes that could be hazardous or challenging to recreate on a physical engine test bed [44].
- Cost and Reduced Development Time: reduces the early to mid-stage of control system development’s requirement for thorough, expensive, and maybe dangerous physical engine testing.
- Repeatability: Simulated settings have a lot of test conditions that can be easily repeated.
6.2. Experimental Data for System Identification and Model Validation
- System Identification: Using several mathematical approaches (e.g., least squares, subspace methods), transient response data—e.g., RPM, EGT, thrust variations following throttle steps—are estimated for linear or non-linear MTE models. These models can span from basic transfer functions to sophisticated physics-based or data-driven representations [26,31],
- Verification of Model: Once a model is established, its predictive capacity is evaluated by means of a comparison between its simulated output and an additional set of experimental data not used for identification [40,45]. Accuracy in replicating steady-state operating points, transient responses (spool-up/down timings, EGT overshoots), and stability limits defines key performance indicators for validation [46]. Figure 11 provides a standard comparison between simulated and experimental RPM response [35].
6.3. Validation of Diagnostic and Prognostic Algorithms
- Seeded Failure Tests: purposefully introducing controlled flaws or degradation into an engine or component (e.g., small blade damage, partially clogged fuel nozzle, sensor drift) on a test bed and tracking the engine’s response. Fault detection and isolation (FDI) methods are trained and validated using this data [31].
- Endurance Tests: Under realistic operating cycles, using an MTE for long periods helps to capture natural degradation trends. Develop and validate prognostic algorithms aiming at forecasting Remaining Useful Life (RUL) [47] using data from these tests (performance criteria, vibration, and oil debris if applicable).
- Performance degradation simulation: Simulating several degradation modes and generating synthetic data using validated engine models will help to complement experimental datasets for machine learning-based diagnostic systems [31]. Experimental evidence remains necessary for validation of these simulation-based approaches [30].
- (i)
- Physics-based cycle and component models: station-based Brayton formulations with compressor/combustor/turbine submodels are used for steady maps and for consistency checks against experiment [3,4,5]. Implementations include engine-level models with component links [32,35], integrated analyses that account for secondary flows [45], and exergy-based partitions to bound component efficiencies [13]. These reproduce measured thrust, SFC, and T–P trends on test stands with close agreement when corrected for inlet and heat losses.
- (ii)
- Low-order gray-box dynamics: throttle-step data are fit with least-squares/subspace identification to first- to second-order transfer functions for spool speed and EGT; regression formulations capture energy and emission metrics at operating points [26,39]. Reported outputs match transient rise/settle times and steady levels under synchronized logging [9].
- (iii)
- Data-driven predictors: hybrid and purely data-driven models learn mappings from commands and station measurements to performance. Examples include extreme-learning-machine hybrids for gas-turbine states [22], deep-learning forecasters for micro-gas-turbine performance [34], and supervised learning that predicts micro-turbojet thrust, SFC, and temperatures across regimes [31,40]. These studies report lower prediction error than baseline fits and real-time inference suitable for control-design workflows. Together, the physics-based, gray-box, and machine-learning approaches provide validated steady and transient predictions, with exergy and station-balance checks used to verify plausibility.
6.4. Algorithms Used
7. Emerging Research Trends and Future Challenges
8. Conclusions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
| APU | auxiliary power unit |
| ASTM D7566 | standard spec for SAF containing synthesized hydrocarbons |
| BC | black carbon |
| CFD | computational fluid dynamics |
| CLA | chemiluminescence analyzer |
| CO | carbon monoxide |
| CO2 | carbon dioxide |
| CPC | condensation particle counter |
| DAQ | data acquisition |
| DC | direct current |
| ECU | engine control unit |
| EGT | exhaust gas temperature |
| EI | emission index |
| EINOx | emission index of NOx |
| EMI | electromagnetic interference |
| FDI | fault detection and isolation |
| FID | flame ionization detector |
| FT | Fischer–Tropsch |
| HEFA | hydroprocessed esters and fatty acids |
| HIL | hardware-in-the-loop |
| I/O | input/output |
| KPI | key performance indicator |
| KPIs | key performance indicators |
| LCA | life-cycle assessment |
| LHV | lower heating value |
| LII | laser-induced incandescence |
| ML | machine learning |
| MTE | micro-turbojet engine |
| NDIR | non-dispersive infrared |
| NOx | nitrogen oxides |
| nvPM | non-volatile particulate matter |
| PA | photoacoustic |
| PHM | prognostics and health management |
| PID | proportional–integral–derivative |
| PLIF | planar laser-induced fluorescence |
| PM | particulate matter |
| RPM | revolutions per minute |
| RTD | resistance temperature detector |
| RUL | remaining useful life |
| SAF | sustainable aviation fuel |
| SFC | specific fuel consumption |
| SMPS | scanning mobility particle sizer |
| TC | thermocouple |
| TEA | techno-economic assessment |
| THC | total hydrocarbons |
| TIT | turbine inlet temperature |
| UAVs | unmanned aerial vehicles |
| VOC | volatile organic compounds |
| ambient pressure | |
| compressor inlet pressure | |
| compressor exit/combustor inlet pressure | |
| turbine inlet pressure | |
| turbine exit pressure | |
| ambient temperature | |
| compressor inlet temperature | |
| compressor exit/combustor inlet temperature | |
| turbine inlet temperature | |
| turbine exit temperature (EGT) |
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| Sensor Type | Typical Range | Typical Accuracy | Typical | Pros/Cons & Example MTE Research |
|---|---|---|---|---|
| (°C) | Estimate | Response | Contexts/Citations | |
| Type K TC | −200 to 1250 | ±1–2 °C | Moderate | Pro: Versatile, common for EGT. Con: Stability issues at high T. Context: Gen. perf. mapping, alt. fuel testing [17], test bed dev. [9]. |
| Type N TC | −270 to 1300 | ±1–2 °C | Moderate | Pro: Better high-T stability than K. Con: More expensive than K. Context: Long-duration tests, demanding EGT measurements. |
| Type R/S TC | 0 to 1600 | ±0.5–1 °C | Slow | Pro: High temp capability, high accuracy. Con: Expensive, fragile, slower response. Context: Baseline calibration, high-precision thermo. analysis (less common in MTEs) [3]. |
| Pt100 RTD | −200 to ∼650 | ±0.1–0.3 °C | Slow | Pro: Excellent accuracy for low T. Con: Slower response, less robust at high T. Context: Inlet air char. [5], fuel temp. monitoring [16]. |
| Optical | 300 to 2000+ | Varies | Fast | Pro: Non-intrusive, fast response. Con: Emissivity dependent, needs optical path. Context: Turbine blade temp. research in specialized MTE rigs (advanced) [4]. |
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Shehata, A.M.; Schoen, M.P. Comprehensive Survey of Micro Turbojet Experimentation: Sensor Technologies, Methodologies, and Research Trends. Machines 2025, 13, 989. https://doi.org/10.3390/machines13110989
Shehata AM, Schoen MP. Comprehensive Survey of Micro Turbojet Experimentation: Sensor Technologies, Methodologies, and Research Trends. Machines. 2025; 13(11):989. https://doi.org/10.3390/machines13110989
Chicago/Turabian StyleShehata, Ahmed M., and Marco P. Schoen. 2025. "Comprehensive Survey of Micro Turbojet Experimentation: Sensor Technologies, Methodologies, and Research Trends" Machines 13, no. 11: 989. https://doi.org/10.3390/machines13110989
APA StyleShehata, A. M., & Schoen, M. P. (2025). Comprehensive Survey of Micro Turbojet Experimentation: Sensor Technologies, Methodologies, and Research Trends. Machines, 13(11), 989. https://doi.org/10.3390/machines13110989

