sensors
Article
Measurement System of a Magnetic Suspension
System for a Jet Engine Rotor †
Paulina Kurnyta-Mazurek 1, *, Artur Kurnyta 2 and Maciej Henzel 1
1
2
*
†
Faculty of Mechatronics and Aerospace, Military University of Technology, 00-908 Warsaw, Poland;
maciej.henzel@wat.edu.pl
Airworthiness Division, Air Force Institute of Technology, 01-494 Warsaw, Poland; artur.kurnyta@itwl.pl
Correspondence: paulina.mazurek@wat.edu.pl; Tel.: +48-261-839-143
This paper is an extension version of the conference paper: Kurnyta-Mazurek, P.; Kurnyta, A.; Henzel, M.
Concept of wireless measurement system of UAV jet engine rotor. In Proceedings of the 2019 IEEE 5th
International Workshop on Metrology for AeroSpace (MetroAeroSpace), Torino, Italy, 19–21 June 2019.
Received: 24 November 2019; Accepted: 27 January 2020; Published: 6 February 2020
Abstract: This paper presents laboratory results on the measurement system of a magnetic suspension
bearing system for a jet engine rotor of an unmanned aerial vehicle (UAV). Magnetic suspension
technology enables continuous diagnostics of a rotary machine and eliminates of the negative
properties of classical bearings. This rotor-bearing system consists of two radial magnetic bearings
and one axial (thrust) magnetic bearing. The concept of the bearing system with a magnetically
suspended rotor for UAV is presented in this paper. Rotor geometric and inertial characteristics were
assumed according to the parameters of a TS-21 jet engine. Preliminary studies of the measurement
system of rotor engines were made on a laboratory stand with homopolar active magnetic bearings.
The measurement system consisted of strain gauges, accelerometers, and contactless proximity
sensors. During the research, strains were registered with the use of a wireless data acquisition (DAQ)
system. Measurements were performed for different operational parameters of rotational rotor speed,
control system parameters, and with the presence of disturbance signals from the control system.
In this paper, obtained operational characteristics are presented and discussed.
Keywords: active magnetic suspension; jet engine; wireless measurement system; UAV
1. Introduction
In recent years, magnetic suspension systems have been used in practice to solve certain problems
of classical bearing systems that occur during the operation and maintenance of machinery and other
technical objects. This technology was successfully implemented for the rail industry in Japan and
China. In the track and vehicle, permanent magnets or electromagnets were implemented, generating
magnetic levitation forces and providing non-contact movement of the vehicle on the track [1].
Magnetic bearing technology has been adopted in other branches of industry as well. It was
developed and commercialized due to its advantages, such as lack of lubrication and no mechanical
contact between operational elements [2,3]. Immense efforts have been undertaken to expand the
magnetic technology applicability in high-speed machinery due to its invaluable advantages in
terms of friction loss reduction, for example, in turbomachinery, compressors, and generators, [4–9].
In comparison with classical mechanical bearings, magnetic ones possess many advantages, [6,10] such
as low amplitudes of mechanical vibration, high durability, lack of tribological wears, and ability of
the extended operational term at high speed [11–13]. These features of magnetic technology give the
immense potential to become a key element in smart and intelligent machines, such as unmanned
aerial vehicle (UAV) jet engines [13].
Sensors 2020, 20, 862; doi:10.3390/s20030862
www.mdpi.com/journal/sensors
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Using active and passive magnetic bearing technologies in high-speed machinery can result in
overcoming the physical limitations of classical bearings. This technology decreases stiffness coefficients
and increases the damping coefficients of radial bearings, which reduce the value of critical rotor
speed. Active magnetic bearings allow precise control of the rotor position and movement and enable
“on-line” diagnosing, monitoring, and identification of high-speed machines. Thus, passive magnetic
bearings can increase the damping coefficient of the bearing system for high rotor speed. In contrast
to active bearings, passive ones do not consume electric energy. This technology uses magnets or
superconductors to suspend the rotor of high-speed machinery. The concept of the structurally simple
and operationally robust suspension of high-speed rotors in electrodynamic passive magnetic bearings
(EDPMB) was presented in [14].
Developing a useful diagnostic concept of the rotor-bearing system is very important in the
maintenance process of high-speed rotary machinery, including UAV jet engines. The accurate selection
of the high-speed rotor-bearing system is continued with the design process. It is usually based on
analysis of the load capacity, durability, bearing operating conditions, and experimental fatigue models
of cooperating pairs (used to determine the bearing durability). However, these systems (without
former change symptoms) are often damaged [15]. Therefore, an important issue is the development of
modern and advanced methods of high diagnosis susceptibility for bearing system analyses. Rotating
machinery monitoring methods are well established as well as detection algorithms for failure detection.
Generally, rotary machinery monitoring systems are usually based on vibration signal analysis. These
signals are essential and vital fault sources and contain enough information about operating states of
rotating machinery [16]. The application of magnetic suspension technology in the bearing system of
high-speed machine rotors enables one to measure vibrations with the use of eddy current sensors,
which are a necessary control system element. Therefore, the possibility of using magnetic bearings
creates an additional monitoring and diagnosis ability in comparison to classical rotary machines.
The structure of the diagnosis system correlates closely with the analyzed system, and only its
elements have a universal character. Therefore, it is necessary to carry out measurements to establish
a database (background) of typical operational parameters of the undamaged machine. Deviation
from the initial parameters in the monitoring process constitutes the primary database for evaluating
the technical conditions of rotating machinery. Dedicated condition indicators (CIs) are usually
developed based on vibration signals, rotational speed values, local temperature gradients, and strain
measurements. Changes in those CIs indicate damage progression. In magnetic bearings, the control
signals (e.g., control current, air gap value) can also be used to monitor their operational conditions
only after proper post-processing.
Preliminary studies of the monitoring system of the UAV jet engine rotor are presented in this
paper. In the first section, the production of the magnetically suspended rotor of a small jet engine of a
UAV is introduced. It consists of active and passive magnetic bearings as well. The second section
presents a measurement system dedicated to the rotor-bearing system. Subsequently, a laboratory
stand is presented. Finally, some conclusions and remarks are provided.
2. Design of the Magnetically Suspended Rotor of a UAV
Magnetic suspension technology allows the effective reduction of vibration amplitude and the
elimination of friction force and negative operational properties of the classical bearings. It is estimated
that the efficiency of magnetic suspension systems is 10% higher than for classical bearing systems, for
example, by eliminating critical speeds [17]. Moreover, this solution increases the durability and the
reliability of the bearing system and increases the operating range of the shaft’s rotational speeds.
Magnetic bearings are classified into two categories, namely passive and active bearings. Passive
magnetic suspensions use permanent magnets or superconductors. They do not require a closed-loop
control system. On the other hand, active magnetic suspensions use electromagnets to generate
magnetic forces and require a feedback control signal (the open-loop control system is unstable) [18].
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The fundamental element of an active magnetic bearing is an electromechanical actuator that
generates a controlled force between cooperation pair–rotor and stator. There are four types of
electromechanical actuators: heteropolar and homopolar electromechanical actuators, homopolar
electromechanical actuators with permanent magnets, and homopolar electromechanical actuators
with electromagnets [19].
Figure 1 shows the design of the magnetic suspension system of a UAV rotor with active and
passive magnetic bearings. Passive solutions effectively damp vibration amplitudes for high rotor
speeds, without consuming electric energy. Radial active magnetic bearings generate radial forces
in two perpendicular radial axes. The first active magnetic bearing #1 is controlled in the x1 and y1
axes’ coordinates. The second active radial magnetic bearing #2 is controlled in the x2 and y2 axes’
coordinates. The axial position in the z-axis (i.e., along the shaft axis) is controlled by axial forces
generated by a thrust magnetic bearing. In total, there are five axes, x1 , y1 , x2 , y2 , and z, that are
controlled by active magnetic bearing systems [10,18,20]. Radial active magnetic bearings suspend the
rotor for low rotor speed, whereas passive ones suspend the rotor in the high-speed range. In this way,
less energy is consumed than in the case of using only an active solution.
Figure 1. Magnetic suspension system of an unmanned aerial vehicle (UAV) rotor.
The designed magnetic suspension system for the UAV engine was developed for the rotor
parameters corresponding to the TS-21 engine. This construction works as a starter on Mig-23 and
Mig-27 aircraft, as well as Su-7, Su-20, and Su-22 aircraft. The TS-21 engine is driven by an electric
starter with about 3 kW of power. The engine characterizes 1 kN thrust force, 60 ÷ 80 kW power, and
50,500 rpm. The rotor shaft has a 1.22 kg mass and is 15 mm in diameter.
In Figure 1, the elements marked as (C) and (T) are mass equivalents of the TS-21 compressor and
turbine. The symbol O denotes the center of mass, which is located 178 mm (l1 ) from the “left” active
radial bearing #1 and 191 mm (l2 ) from the “right” active radial bearing #2.
Figure 2 presents the laboratory stand with the magnetic suspension system. The radial active
magnetic bearings are set in the universal grips, and the axial magnetic bearing is dismounted. Air gaps
in the radial and axial magnetic bearings are equal to 0.4 mm and 0.5 mm, respectively. Thus, the
operating point current for each bearing is 5, and the maximum current for each bearing is 10 A,
whereas axial one has 80 coils. Viscoelastic parameters of active magnetic bearings depend on control
law parameters as well as current stiffness coefficient and displacement stiffness coefficient, being
3.74 × 105 N/m and 1168 Ns/m, respectively. The axial bearing was designed to carry axial loads
of 1.5 kN, because of the engine thrust force, whereas radial bearing was designed to maintain a
100 N load. Mass equivalents of compressor and turbine are marked as (C) and (T), as shown in
Figure 1. Eddy current sensors are located in the electromagnet covers. Signals from these sensors
provide information about rotor position for the closed-loop control system and could be useful for the
diagnosis system as well.
Due to the high level of complexity of the laboratory stand shown in Figure 2, preliminary
qualitative studies were carried out on the system with only one active magnetic bearing and one ball
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bearing, presented in Figure 3. It consisted of an electromechanical actuator, rotor, control and data
acquisition system, and an electric drive. The rotor was supported on one side by a classical ball bearing
and on the other, by the magnetic bearing. The drive torque was transmitted to the rotor suspended by
the magnetic bearing. For that bearing system, a measurement system was designed as a proof-of-concept.
It consisted of eddy current sensors, which were a part of the control system and strain sensors.
AXIAL
BEARING DISKS
(T)
(C)
RADIAL ACTIVE
MAGNETIC BEARING
RADIAL ACTIVE
MAGNETIC BEARING
Figure 2. Laboratory stand with the magnetic suspension system of a UAV rotor.
(a)
(b)
(c)
Figure 3. Laboratory stand of the active magnetic bearing with sensors: (a) laboratory model, (b) strain
gauge configuration, (c) strain gauges with measurement nodes.
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In Figure 3b, the four-arm rosette strain gauge is illustrated with the orientation of its measuring
grids (R1 ÷ R4) in comparison to the longitudinal axis of the rotor. The location of individual
measurement system elements is shown in Figure 3c. In the next part of the paper, a laboratory stand
with measurement system is described. Rotor deformation and rotor displacement are measured by
strain gauges and eddy current sensors, respectively.
3. Measurement System
Bearing monitoring problems in turbomachinery, in the jet engines, currently represent significant
issues. Monitoring systems should enable to detect defects in the early stages, before the breakdown
of the whole system or the occurrence of further damage. Unfortunately, due to bearing operational
conditions, monitoring of these parameters is not a simple task. Bearings are often located in places with
difficult access. Another critical issue is the construction of moving engine parts, which make the use of
even a simple cable connection impossible. It becomes necessary to use a wireless connection between
sensors and recording modules. However, the use of wireless sensors can be made difficult due to the
electromagnetic noise in a broad frequency spectrum that may occur during engine operation [13].
The laboratory stand provided a wireless data acquisition system to measure rotating shaft strain.
Sensors for monitoring the strain under forced rotation were bonded on the shaft in two cross-sections,
as shown in Figure 3. Measurement nodes with a transmitter for wireless telemetry were mounted
near the ball bearing. Strain measurements were performed in the system build-up of the Wheatstone
bridge, amplifier, and signal transmission circuit.
The measurements of the shaft strains were performed for two cross-section areas (Nodes 954
and 955). Strain gauges operated first as a full-bridge and then as a quarter-bridge configuration,
connected to the measurement system, as shown in Figure 4. The strain signal was measured and
conditioned by nodes and wirelessly transferred to the gateway access point connected to the PC
computer with dedicated software. A small, low-power analog sensor node SG-Link® and the gateway
WSDA® -200-USB from LORD MicroStrain® Sensing Systems (Williston, VT, USA) were used for
wireless measurements. Measurements were performed in two independent channels, namely Nodes
954 and 955. The grid rosettes for measuring the compress and stretch forces of the shaft in the
longitudinal direction were in the range of ±45 degrees. Then, the strain gauge R1 was used to measure
values of the local strains [21]. In this bridge configuration, the other Wheatstone’s bridge arms were
supplemented by precision resistors with a resistance of 350 Ω ± 0.1%. The data acquisition system
worked with 32 µs accuracy synchronization inΩa wide wireless range. Conducted measurements
allowed to characterize the magnetically suspended rotor by comparing the local strain level in the
middle and front parts of the shaft at various rotational speeds. Additionally, the natural feature of
that type of bearing system is lack of torsion forces on the rotor. In that case, vibration components can
be obtained directly on the rotor by using the above full-bridge strain gauge configuration.
(a)
(b)
(c)
(d)
Figure 4. Diagram of the measurement system [13]: (a) strain gauge in a full-bridge configuration as a
sensor, (b) wireless nodes, (c) gateway, (d) software.
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The laboratory stand of the magnetic suspension system was also equipped with contactless
position sensors to measure the rotor displacement in the air gap. These sensors were a part of the
control system, as shown in Figure 5. The laboratory stand consisted of a control unit, proportional–
integral–derivative PID controller, amplifier, electromechanical actuator with the supported rotor, and
contactless eddy current sensors.
Figure 5. Active magnetic bearing control system.
The control unit was based on a PC and the dSpace platform (dSpace GmbH, PaderbornyGermany)
with input/output modules with 16-b A/D and D/A converters. The PID controller was designed in
MATLAB Simulink 2010a software (Mathworks, Natick, MA, USA) and then implemented in the
dSPACE platform. The control signals from the controller were transferred to two-channel bipolar
amplifiers. The amplifiers supplied magnetic bearing electromagnets. Control current signals caused
magnetic flux variations, which changed the rotor position. These displacements were measured by
contactless eddy current sensors from the Bently Nevada company (Minden, NV, USA). Measured
signals were transferred to the control unit via the input module. In this way, the feedback loop was
obtained. Contactless proximity sensors can measure the rotor position in the range of 2 mm with an
accuracy of 1 µm. Sample characteristics of the control system are presented in Figure 6.
0.005
Input signal (disturbance from the control system)
0.004
Output signal (Kd=0.003)
Output signal (Kd=0.004)
0.003
Output signal (Kd=0.005)
Rotor displacement (mm)
0.002
0.001
0
-0.001
-0.002
-0.003
-0.004
-0.005
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
Time (s)
Figure 6. Time characteristics of the control systems with proportional-derivative PD controller for
different Kd values and constant Kp equal to 1.75.
The time characteristics of the control systems with the proportional-derivative PD controller are
presented in Figure 6. The proportional parameter of the PID controller was marked as Kp and was
constant during the presented measurement, whereas the derivative parameter of the PID controller
was marked as Kd . The reference signal had the form of a rectangular signal acting on the Ox axis with
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amplitude and frequency equal to 0.01 V and 1 Hz, respectively. Later in the paper, this reference signal
is called disturbance from the control system acting on the Ox or Oy axes. Other signals depicted
in the figure present outputs from the control systems with the PD controller in the form of rotor
displacements. In this figure, the vibration amplitude of the rotor can be observed. As the derivative
parameter of controller Kd increases, the vibration amplitude decreases. The system behaves like an
oscillator with one degree of freedom and its transfer function reads as follows:
ms2 + ki Kd s + Kp ki − kx = 0,
(1)
where m denotes rotor weight, current stiffness coefficient is described by ki , and displacement stiffness
coefficient is expressed by kx . This equation has the following solutions p1,2 :
p
1,2=−ω0 ζ±iω0
√
1−ζ2
,
(2)
where ω0 denotes the eigen frequency of the system, ω0 = 3.2/(tr ζ), tr is the settling time, and ζ is the
dimensionless damping factor.
The location of the closed-loop system poles depends on settling time tr and the dimensionless
damping factor ζ. When the poles p1 and p2 are known, PD controller parameter values can be
calculated from the following relations:
Kd =
(−p1 − p2 )m
,
ki
(3)
Kp =
p1 p2 m + kx
.
ki
(4)
The above characteristic Equation (1) can be expressed as a differential equation of oscillatory motion:
m
dy
d2 y
+ c + ky = 0.
2
dt
dt
(5)
Comparing values of the equation parameters, the stiffness coefficient is described by the following:
k = Kp ki − kx .
(6)
Finally, the damping coefficient reads as follows:
c = k i Kd
(7)
From the above considerations about using a PD controller, it is possible to have an effect on
stiffness and damping coefficients of the entire active magnetic bearing system.
In conclusion, a measurement system for active magnetic bearings consists of strain gauges and
eddy current sensors to measure strains and rotor displacements, respectively. The flowchart of the
overall measurement process is presented in Figure 7. At the laboratory stage of the study, comparison
results were obtained from strain gauges placed on the rotor surface. The analysis of research results
allows the development of the monitoring and diagnosis system for a bearing system for a UAV engine
rotor, equipped with passive and active magnetic bearings.
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Figure 7. Flowchart with the overall measurement process.
4. Results
The rotary system with an active magnetic bearing, as shown in Figure 3, was investigated to
obtain its dynamic behavior with the developed measuring system. This system enabled the continuous
measurement of the magnetic bearing operational parameters, such as rotating shaft strains, rotor
displacements, and vibrations. During studies, strain measurements with full bridge and quarter
bridge were registered by a wireless data acquisition (DAQ) system. The sensors were located in
two cross-sections of the magnetically suspended shaft, that is, one in the middle (Node 955) and the
second near the magnetic bearing (Node 954). Two different bridge configurations for strain gauge
were utilized to measure the local uniaxial strain with a quarter bridge and quasi-vibrations from the
rotational motion with a full bridge. In a classical bearing system, a full-bridge configuration allows
the measurement of torsion strain, but in the magnetic bearing system, this component is absent.
Strain measurements were conducted for both cross-sections simultaneously for constant parameters
of the control system and disturbance signals acting on the Ox and Oy axes. These disturbances were
generated by the control system. Strain time-domain signals were acquired using a 512 Hz sampling
frequency, for approximately 20 seconds of stable rotational speed. For each rotational speed, three
measuring series were made with no disturbance, disturbances added in the Ox axis, and disturbances
added in the Oy axis. Fast Fourier transform (FFT) analysis was performed for time-domain signals
and the frequency characteristics are presented below.
In Figures 8 and 9, fast Fourier transform (FFT) characteristics of the rotating shaft strain measured
for a constant motor rotary speed equal to 25 rev/s for a quarter-bridge configuration at both shaft
cross-sections, Nodes 954 and 955, are presented, respectively. These characteristics were registered
without and with disturbance from the control system. Measurement with no disturbance is marked
by a blue line, and measurements with disturbance added to the control signal in the Ox and Oy axes
are indicated by red and orange lines, respectively. In Table 1, the list of significant values from the
characteristics shown in Figures 8 and 9 is presented. Cells with peaks from the sampling frequency
are marked in blue.
In Figures 10 and 11, fast Fourier transform (FFT) characteristics of the rotating shaft strain
measured at the shaft front cross-section (Node 954) for a constant motor rotary speed equal to 30 rev/s
for both full- and quarter-bridge configurations are presented, respectively. These characteristics were
registered without and with disturbance from the control system. Significant values from obtained
characteristics are presented in Table 2.
In Figures 12 and 13 and Table 3, the same set of characteristics as above are presented, but from
the middle shaft cross-section.
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Figure 8. Fast Fourier transform (FFT) of strain-level measurement for constant motor speed equal to
25 rev/s with disturbance from the control system for a quarter-bridge configuration (Node 954).
Figure 9. FFT of strain-level measurement for constant motor speed equal to 25 rev/s with disturbance
from the control system for a quarter-bridge configuration (Node 955).
Figure 10. FFT of strain-level measurement for constant motor speed equal to 30 rev/s with disturbance
from the control system for a full-bridge configuration (Node 954).
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Table 1. List of parameters read from the characteristics shown in Figures 8 and 9.
No external force for Node 954
FFT Amplitude
0.474
0.116
0.090
Frequency (Hz)
24.14
32.05
63.90
Additional force in Ox axis for Node 954
FFT Amplitude
0.385
0.098
0.051
Frequency (Hz)
24.14
32.05
48.08
Additional force in Oy axis for Node 954
FFT Amplitude
0.437
0.128
0.048
Frequency (Hz)
24.14
32.05
41.00
No external force for Node 955
FFT Amplitude
0.514
0.178
0.062
0.149
Frequency (Hz)
24.14
32.05
49.95
64.10
Additional force in Ox axis for Node 955
FFT Amplitude
0.466
0.167
0.068
0.93
Frequency (Hz)
24.14
32.05
49.95
64.10
Additional force in Oy axis for Node 955
FFT Amplitude
0.050
0.502
0.151
0.070
Frequency (Hz)
4.16
24.14
32.05
49.95
0.058
95.95
0.048
63.90
0.097
63.90
0.059
74.09
0.110
95.95
0.047
74.09
0.123
95.95
0.104
63.90
0.062
74.09
Table 2. List of parameters read from the characteristics shown in Figures 10 and 11.
No external force for Node 954,
full bridge
FFT
0.087
0.043
0.056
Amplitude
Frequency
28.60
32.00
57.40
(Hz)
Additional force in Ox axis for Node 954,
full bridge
FFT
0.074
0.047
0.064
Amplitude
Frequency
28.60
32.00
57.40
(Hz)
Additional force in Oy axis for Node 954,
full bridge
FFT
0.334
0.047
Amplitude
Frequency
27.60
32.00
(Hz)
No external force for Node 954, quarter bridge
FFT
Amplitude
Frequency
(Hz)
0.082
0.056
0.276
0.099
0.149
0.060
0.056
0.049
0.62
1.87
28.93
32.05
57.65
64.10
86.58
95.95
Additional force in Ox axis for Node 954, quarter bridge
FFT
Amplitude
Frequency
(Hz)
0.303
0.122
0.157
0.060
0.067
0.066
28.72
32.05
57.65
64.10
95.95
115.30
Additional force in Oy axis for Node 954, quarter bridge
FFT
Amplitude
Frequency
(Hz)
0.047
0.756
0.127
0.043
0.082
0.062
0.128
22.69
27.47
32.05
49.95
64.10
101.35
109.48
Figure 11. FFT of strain-level measurement for constant motor speed equal to 30 rev/s with disturbance
from the control system for a quarter-bridge configuration (Node 954).
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Figure 12. FFT of strain level measurement for constant motor speed equal to 30 rev/s with disturbance
from the control system for a full-bridge configuration (Node 955).
Figure 13. FFT of strain-level measurement for constant motor speed equal to 30 rev/s with disturbance
from the control system for a quarter-bridge configuration (Node 955).
Table 3. List of parameters read from the characteristics shown in Figures 12 and 13.
No external force for Node
955, full-bridge
FFT Amplitude
0.244
Frequency (Hz)
28.60
Additional force in Ox axis
for Node 955, full-bridge
FFT Amplitude
0.199
Frequency (Hz)
28.80
Additional force in Oy axis
for Node 955, full-bridge
FFT Amplitude
0.373
Frequency (Hz)
27.60
No external force for Node 955, quarter bridge
FFT
Amplitude
Frequency
(Hz)
0.361
0.143
0.076
0.098
0.050
0.063
28.72
32.05
57.65
64.10
78.88
95.95
Additional force in Ox axis for Node 955, quarter bridge
FFT
Amplitude
Frequency
(Hz)
0.052
0.402
0.120
0.062
0.055
0.065
0.049
0.080
26.43
28.72
32.05
49.95
57.65
63.90
78.88
95.95
Additional force in Oy axis for Node 955, quarter bridge
FFT
Amplitude
Frequency
(Hz)
0.043
0.608
0.081
0.059
0.069
0.061
13.11
27.47
32.05
49.95
64.10
95.95
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In Figures 14–17 and Table 4, fast Fourier transform (FFT) characteristics of the rotating shaft strain
measured for a constant motor rotary speed equal to 7 rev/s for quarter- and full-bridge configurations
at both front and middle shaft monitoring points are presented.
Figure 14. FFT of strain-level measurement for constant motor speed equal to 7 rev/s with disturbance
from the control system for a quarter-bridge configuration (Node 954).
Figure 15. FFT of strain-level measurement for constant motor speed equal to 7 rev/s with disturbance
from the control system for a quarter-bridge configuration (Node 955).
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Figure 16. FFT of strain-level measurement for constant motor speed equal to 7 rev/s with disturbance
from the control system for a full-bridge configuration (Node 954).
Figure 17. FFT of strain-level measurement for constant motor speed equal to 7 rev/s with disturbance
from the control system for a full-bridge configuration (Node 955).
Table 4. List of parameters read from the characteristics shown in Figures 14–17.
Additional force in Ox axis for Node
954, full bridge
FFT Amplitude
0.076 0.047 0.020
Frequency (Hz)
9.20 32.00 18.40
Additional force in Oy axis for Node
954, full bridge
FFT Amplitude
0.079 0.047 0.016
Frequency (Hz)
9.20 32.00 18.40
Additional force in Ox axis for Node
955, full bridge
FFT Amplitude
0.153
Frequency (Hz)
9.20
Additional force in Oy axis for Node
955, full bridge
FFT Amplitude
0.149
Frequency (Hz)
9.20
Additional force in Ox axis for Node 954, quarter bridge
FFT Amplitude
Frequency (Hz)
0.318
9.78
0.048
19.56
0.045
29.56
0.073
32.05
0.059
48.91
0.059
63.69
Additional force in Oy axis for Node 954, quarter bridge
FFT Amplitude
Frequency (Hz)
0.288
9.78
0.046
19.77
0.141
32.05
0.057
49.33
0.065
64.10
0.046
69.10
0.071
95.95
Additional force in Ox axis for Node 955, quarter bridge
FFT Amplitude
Frequency (Hz)
0.391
9.78
0.133
32.05
0.057
49.95
0.080
63.90
0.077
95.95
Additional force in Oy axis for Node 955, quarter bridge
FFT Amplitude
Frequency (Hz)
0.049
0.83
0.310
9.78
0.044
17.69
0.098
32.05
0.061
49.95
0.074
64.10
0.060
95.95
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5. Discussion
Presented test results were carried out for various rotational speeds of the magnetically suspended
rotor and constant values of controller parameters. Proportional and differential gains of the controller
were set to 1.75 and 0.003, respectively, and the amplitude of disturbance was set to 0.01 V with a
frequency of 1 Hz. Differences in results for the quarter- and full-bridge strain measurements are
attributed to various types of strain state to which the bridge configuration is sensitive, as one or four
grids are actively used to obtain data.
In Table 1 were presented the FFT amplitudes and corresponding frequencies of strain-level
measurements for an engine speed equal to 25 rev/s without and with external disturbance measured
for Nodes 954 and 955 for a quarter-bridge configuration. Cells with the frequency of 24.14 Hz
correspond to engine speed, whereas cells marked by blue peaks are the artefacts from the sampling
frequency. For the measurement with no disturbance for the front shaft cross-section, the frequency
response is clear with no additional peaks. For measurements with external disturbance in the Ox and
Oy axes for Node 954, peaks at the frequencies of 48 Hz and 41 Hz occurred, respectively. In the case of
Node 955 measurements without and with external disturbance, peaks at 49.95 and 74.09 Hz occurred.
It can be clearly seen that an added disturbance signal gives an additional frequency response for
both cross-sections. Both peak amplitudes are higher at the same frequencies for Node 955 (middle
cross-section of the shaft) in comparison with Node 954 (front cross-section) in both axes. However,
the ratio of FFT amplitudes for measurements without and with disturbance is lower for the front
cross-section and is 0.81 for Ox and 0.92 for Oy axes, respectively. For the middle cross-section, 0.9 for
the Ox axis and 0.97 ratios were obtained. That suggests the higher impact of an added disturbance in
both axes for the cross-section closer to the magnetic bearing.
In Tables 2 and 3 were presented the FFT amplitudes and corresponding frequencies of strain-level
measurements for an engine speed equal to 30 rev/s without and with external disturbance for Node
954 for quarter- and full-bridge configurations. Cells with the frequency of approximately 28 Hz
correspond to engine speed. For the measurement with full-bridge configuration, the frequency
characteristics are much clearer with a smaller number of peaks than in the case of the quarter-bridge
configuration. The FFT amplitude ratio for measurements without and with disturbance in the Ox axis
is similar for the first harmonic in both shaft cross-sections and is equal to 1.10. However, in the second
harmonic, the ratio is 0.72 and 1.05 for the middle and front measuring points. Regarding the added
disturbance in the Oy axis, the amplitude ratio differs significantly with values of 1.68 for the middle
and 2.74 for the front shaft cross-sections. The analysis for full-bridge measurements reveals a similar
effect with added disturbance in the Ox and the Oy axes. Here, the influence of added disturbance
in the Oy axis caused the further increase of the FFT amplitude ratio to values of 1.53 for the middle
and 3.84 for the front measuring points. It can also be seen that the first harmonic frequency with
added disturbance in the Oy axis is slightly decreased in comparison to those with no disturbances
and added in the Ox axis. The same phenomena can be observed for quarter-bridge measurements,
although those were performed separately. That decrease in the frequency characteristic was absent for
lower rotational speeds. The specific source of that effect requires further investigation. It is probable
that additional deflection modes occurred for the shaft at that speed, when a disturbance in the Oy
axis was present. An higher FFT amplitude with further frequency harmonics was measured for the
quarter-bridge configuration compared with the full-bridge configuration for that rotational speed.
Again, the shaft cross-section closer to the magnetic bearing was influenced more than its middle part
in the presence of disturbances.
In Table 4 were presented the FFT amplitudes and corresponding frequencies of strain-level
measurements for a low engine speed equal to 7 rev/s with external disturbance for Nodes 955 and
954 for quarter- and full-bridge configurations. For that rotational speed, no noticeable effects were
detected for disturbances in the Ox and Oy axes in both bridge configurations. Several frequency
peaks were seen for the strain gauge connected to Node 954 in the front of the shaft, which suggests
a higher level of strain and vibrations on frequencies above and even below the rotational speed.
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Additionally, higher harmonics were visible for the full-bridge configuration at that point. In classical
bearing diagnostics, that is an indicator of degradation. With the magnetic bearing, it can be a sign
of a rotational speed that is too low to ensure a suitable level of self-centering of the shaft to the
working point.
In summary, the performed measurements revealed that the strain gauge monitoring point
should be located near the magnetic bearing, as the presence of induced disturbances influenced more
that part of the rotating shaft. Because of the lack of physical contact between rotor and stator, the
classical approach for bearing diagnostics with the use of accelerometers would not be as efficient.
The full-bridge configuration gave a clearer indication of induced disturbances with a lower level of
noise in the frequency spectrum. Disturbance in the Oy axis impacted the frequency characteristics
more than the equal disturbance in the Ox axis. This is caused by the fact that the Oy axis stabilizes
vertically and provides the lifting force for the rotating shaft. Therefore, even in a static condition,
forces generated by the lower and upper coils are not equal, as in the Ox axis.
6. Conclusions
This paper presented preliminary studies of a measurement system dedicated to UAV engine
rotors. Moreover, the new concept of a rotor suspension system with magnetic bearings for a mini
turbojet engine rotor was described. In the proposed support system, both active and passive magnetic
bearings were introduced. Magnetic suspension technology allows the efficient reduction of the
transverse vibration amplitude and the negative performance features of a classical bearing system [7].
Additionally, this technology enables continuous diagnostics of rotor engines.
In this paper, a wireless measuring system for the rotary machine was introduced. It consisted of
strain sensors and measuring modules with a transmitter for wireless telemetry. Measurements of
strain gauge were performed in the system build-up of the Wheatstone bridge, amplifier, and signal
transmission circuit. During studies, strain measurements with strain gauges located in two
cross-sections of the magnetically suspended shaft were registered. Measurements were made
for the different rotational speeds of the rotor, different control system parameters, and various
disturbances acting on the Ox and Oy axes. Registered characteristics presented strain amplitude in
two cross-sections and fast Fourier transform of the strain measurements for constant motor speed,
without and with disturbance. The measurement revealed a higher amplitude level with an increase
of rotational speed. Additionally, disturbances in the Oy axis were more noticeable compared with
the data with no disturbance and those added in the Ox axis, especially in the front cross-section
monitoring point.
Developed laboratory stands with the magnetically suspended rotor and the positive effect
of preliminary studies have opened new perspectives for development work associated with the
monitoring system of UAV rotor engines. Results obtained during studies are the basis for developing
an identification and monitoring system of a rotor supported by magnetic bearings. The next stage of
studies includes an attempt to compare measurements from strain gauges and eddy current sensors to
indicate phenomena related to incorrect rotor operation using sensors integrated with the object.
Author Contributions: Methodology, A.K. and P.K.-M.; software, A.K. and P.K.-M.; validation, A.K. and P.K.-M.;
formal analysis, M.H.; investigation, A.K. and P.K.-M.; resources, M.H.; writing—original draft preparation, A.K.
and P.K.-M.; writing—review and editing, M.H.; supervision, M.H. All authors have read and agreed to the
published version of the manuscript.
Funding: This research was co-funded by the National Center of Research and Development under the grant
entitled “The use of surface engineering new technologies and magnetic bearings in the construction of a miniature
turbine jet engine”. Research presented in the paper was carried out in the Aircraft Propulsion Research Laboratory.
This Laboratory was modernized under the project entitled “Modernization and construction of a new scientific
and research infrastructure at the Military University of Technology and at the Warsaw University of Technology
for joint numerical experimental research of aviation turbine engines in 2009–2015”.
Conflicts of Interest: The authors declare no conflict of interest.
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References
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
Liu, Z.; Long, Z.; Li, X. Maglev Trains Key Underlying Technologies; Springer: Berlin/Heidelberg, Germany,
2015; pp. 29–39.
Zhang, L. Hopf Bifurcation and Vibration Control for a Thrust Magnetic Bearing with Variable Load Mass.
Sensors 2018, 18, 2212. [CrossRef] [PubMed]
Kurnyta-Mazurek, P.; Kurnyta, A.; Henzel, M. Concept of wireless measurement system of UAV jet
engine rotor. In Proceedings of the 2019 IEEE 5th International Workshop on Metrology for AeroSpace
(MetroAeroSpace), Torino, Italy, 19–21 June 2019; pp. 539–543.
Hung, J.Y.; Nathaniel, G.A.; Xia, F. Nonlinear control of a magnetic bearing system. Mechatronics 2003, 13,
621–637. [CrossRef]
Sawicki, J.T.; Maslen, E.H.; Bischof, K.R. Modeling and Performance Evaluation of Machining Spindle with
Active Magnetic Bearings. J. Mech. Sci. Thchnol. 2007, 21, 847–850. [CrossRef]
Schweitzer, G.; Traxler, A.; Bleuler, H. Magnetlager: Grundlagen, Eigenshaften und Anwendungen berührungsfreier
elektromagnetischer Lager; Springer: Berlin/Heidelberg, Germany, 1992; pp. 27–50, 107–142.
Zhang, C.; Tseng, K.J. Design and control of a novel flywheel energy storage system assisted by hybrid
mechanical-magnetic bearings. Mechatronics 2013, 23, 297–309. [CrossRef]
Brusa, E. Semi-active and active magnetic stabilization of supercritical rotor dynamics by contra-rotating
damping. Mechatronics 2014, 24, 500–510. [CrossRef]
Halminen, O.; Kärkkäinen, A.; Sopanen, J.; Mikkola, A. Active magnetic bearing-supported rotor with
misaligned cageless backup bearings: A dropdown event simulation model. Mech. Syst. Signal Process. 2015,
50–51, 692–705. [CrossRef]
Schweitzer, G.; Maslen, E.H. Magnetic Bearings: Theory, Designs and Application to Rotating Machinery; Springer:
Berlin/Heidelberg, Germany, 2009; pp. 2–26.
Polajzer, B. Modeling and Control of Horizontal-Shaft Magnetic BearingSystem. In Proceedings of the IEEE
International Symposium on Industrial Electronics (ISIE ’99), Bled, Slovenia, 12–16 July 1999; pp. 1051–1055.
Motee, N.; Queiroz, M.S.D. Control of Active Magnetic Bearing. In Proceedings of the 41st IEEE Conference
on Decision and Control, Las Vegas, NV, USA, 10–13 December 2002; pp. 860–865.
Kurnyta-Mazurek, P.; Kurnyta, A.; Pr˛egowska, A.; Kaźmierczak, K.; Fraś,
˛ L. Application concept of the active
magnetic suspension technology in the aircraft engine. Aviat. Adv. Maint. 2018, 41, 161–193. [CrossRef]
Szolc, T.; Falkowski, K. The design of a combined, self-stabilizing electrodynamic passive magnetic bearing
supporting high-speed rotors. In Proceedings of the 13th International Conference, Dynamics of Rotating
Machinery (SIRM 2019), Copenhagen, Denmark, 13–15 Feberary 2019; pp. 272–281.
Żokowski, M.; Majewski, P.; Spychała, J. Detection damage in bearing system of jet engine using vibroacustic
method. Acta Mech. Autom. 2017, 11, 237–242.
Yan, X.; Sun, Z.; Zhao, J.; Shi, Z.; Zhang, C.A. Fault Diagnosis of Active Magnetic Bearing-Rotor System via
Vibration Images. Sensors 2019, 19, 244. [CrossRef] [PubMed]
Żokowski, M.; Falkowski, K.; Kurnyta-Mazurek, P.; Henzel, M. Control of bearingless electric machines
dedicated for aviation. Aircr. Eng. Aerosp. Technol. 2020, 92, 27–36. [CrossRef]
Chiba, A.; Fukao, T.; Ichikawa, O.; Oshima, M.; Takemoto, M.; Dorrel, D.G. Magnetic Bearings and Bearingless
Drives; Elsevier: London, UK, 2005; pp. 1–15.
Genta, G. Dynamics of Rotating Systems; Ling, F.F., Hart, D.W.H., Eds.; Springer Science & Business Media:
New York, NY, USA, 2005.
Falkowski, K.; Gosiewski, Z. Multifunctional Magnetic Bearings; Institute of Aviation Scientific Library:
Warsaw, Poland, 2003.
Hoffmann, K. An Introduction to Measurement Using Strain Gages; Hottinger Baldwin Messtechnik GmbH:
Darmstadt, Germany, 1987.
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