# An Optical Fiber Measurement System for Blade Tip Clearance of Engine

Authors: Jia Binghui; He Lei
Journal: International Journal of Aerospace Engineering
 (2017)

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## Abstract

The benefits of reducing the tip clearance have been receiving many scholars’ attention all the time, which bring turbine efficiency increasing, emissions reduction, payloads increasing, and mission range abilities extension. In order to gain the blade tip clearance dynamically, a prototype optical fiber measurement system was built and tested based on the rotor test rig. The optical fiber tip clearance measurement system consists of the reflective intensity-modulated optical fiber bundle (sensor), main signal processing unit, high-speed data acquisition card, and a computer. The static performance and dynamic performance experiments were conducted to verify the performance of the system we designed. In addition, the results show that the accuracy of the system is 25μm or better; the stability of the measurement system was evaluated in room temperature. The clearance measurement range is about 5 mm, and sensitivity of the sensor is 0.0733/mm. Furthermore, the typical tip clearance dynamic measurement experiment results show that the system has good dynamic response characteristics as well. The system will provide a new tool for engine health monitoring or fast active tip clearance control.


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## Body

## 1. Introduction

Blade tip clearance is defined as the void between the blade tip and the surrounding casing. Minimization of blade tip clearance in the high-pressure turbine (HPT) and high-pressure compressor (HPC) has been a subject of intense research since the inception of gas turbine engine. The benefits of reducing the tip clearance include turbine efficiency increase, emissions reduction, and mission range abilities extension [1]. In addition, the aircraft noise and emissions will be reduced as well, which imply additional environmental advantages [2–4]. Unfortunately, engine loads, high-g turns, and maneuver in combination with high-power operation, aerodynamic loads, and wear mechanisms both contributed asymmetric and axisymmetric changes in tip clearance [1, 5]. However, the method of building the dynamic changes model of tip clearance to achieve the tip clearance real-time changes is very difficult. A measurement technology is desperately needed to realize the accurate real-time tip clearance.For blade tip clearance measurement, traditional methods currently make use of capacitive measurement methods, eddy current measurement method, radar-type measurement using microwave electromagnetic waves, and laser Doppler velocimetry. The capacitance sensors are most common. Sarma and Barranger [6] proved a capacitance-type blade tip clearance measurement system using a dual amplifier with ramp/DC inputs and integration. Sheard and Killeen [7, 8] described a capacitance based tip clearance measurement system which is used for blade-by-blade tip clearance measurement utilizing a frequency-modulated operating mode under laboratory conditions. Long et al. [9] researched the main accuracy influencing factors when using capacitance tip clearance device. Capacitive sensors are simple and inexpensive but they have a poor frequency response and require iron blade [2]. What is more, the measurement accuracy of capacitance sensor is about 50 μm; this accuracy is difficult to meet the typical clearance range requirements. Eddy current sensors provide noncontact measurements but have disadvantage to sense only magnetic materials. In addition, they are highly dependent on temperature and the blade tip shape [2, 5, 10]. Microwave interferometric techniques [11] allow real-time tip clearance measurement with accuracy of about 20 μm. Woike et al. [11] report the use of microwave sensor to acquire blade tip clearance being explored at the NASA Glenn Research Center. This type of sensor is beneficial in that it has the ability to operate at extremely high temperature but is very sensitive to the gas flow and the geometry of the sensor environment. On the contrary, optical sensor provides the high available resolution and sensitivity, small size, noncontact measurement and simple instrumentation, and insensitivity to electromagnetic interference [12–15].In order to achieve the dynamic changes of the gas turbine blade tip clearance based on the mechanisms of HPT tip clearance variation, this paper will describe development and evaluation of a blade tip clearance measurement system using an optical fiber tip clearance sensor. This method is capable of real-time (or near-real-time) tip clearance measurement with accuracy of 25μm or better.


## 2. Tip Clearance Measurement Techniques

### 2.1. Tip Clearance Change Mechanism

The simplified model of the tip clearance is shown as Figure1. The left side of the figure shows a cross section of the high-pressure turbine; we can see that the model mainly includes three parts, turbine rotor, blades, and the tip seal (shroud/case). The turbine rotor is mainly made up of the rotor blades, turbine, a turbine shaft, and other parts. The blades are composed of blade body and rabbet that translate the high temperature combustion gas energy into the mechanical work. Turbine casing is an important component of the engine support system; it is usually assumed that the general geometry of the shroud is a ring-like structure, where the inner surface is coated with an abradable material that also functions as a thermal barrier.Figure 1
Model of tip clearance change.Blade tip clearance variations are caused by the displacement or distortion of both the shroud and rotor system over the operating points of the engine. As mentioned previously, the mechanisms behind these variations come from a number of loads on those static and rotating components, such as engine load, flight loads, and aerodynamic and gyroscopic loads. Those loads can produce both axisymmetric and asymmetric tip clearance changes. The uniform radial displacement of shroud/case and the rotating components created by the uniform loads such as centrifugal, thermal, and internal pressure always bring about axisymmetric clearance changes; centrifugal and thermal loads are responsible for the largest radial variations in tip clearance [1, 16–19]. The nonuniform radial displacement of the stationary structures is usually produced by the nonuniform loads such as gravitational, aerodynamic, and gyroscopic loads that always arouse asymmetric clearance changes. The rotor or blade vibration caused by the fight load (thrust, inertial) will produce asymmetric clearance changes.Considering the above factors, the relative change in the time-varying geometry of each submodel is used to calculate the overall change in tip clearance, as shown in the following equation:(1)Clt=Clcold+rshroudt-rrotort-lbladet-vvibrationt.Here, Clcold is the initial tip clearance, Cl(t), rshroud(t), rrotor(t), lblade(t), and vvibration(t) are, respectively, the total tip clearance, the shroud inner radius, rotor outer radius, blade length, and the rotor vibration displacement as a function of time.Based on literatures [16–19], the tip clearance and speed as a function of time for a given mission profile due to engine loads and flight loads are shown in Figure 2. The operating points throughout the profile have been labeled take-off, cruise, and decal. We can see that the minimum clearance may occur during the take-off and the deceleration or restarting process shown in Figure 2. In take-off process, with speed increasing, the tip clearance diminished rapidly due to the centrifugal load on the rotor as well as the rapid heating of the turbine blades, which causes the rotating components to grow radially outward, but the shroud/case expands at a much slower rate; then, a minimum gap is produced. Shortly after the case expands, the clearance increases. In deceleration (landing) process, the clearance rapidly increased due to the mechanical unloading of the rotor and blades and the thermal lag of the case as it cools. What is more, the acceleration and deceleration caused by the vibration of the rotor will produce obvious tip clearance changes.Figure 2
Tip clearance as a function of time over a given mission profile.In order to avoid rub, reserved clearance must be set when designing turbine. Unfortunately, the extra space always generates nonoptimal clearance which causes the fuel oil consumption increasing in most of the working conditions. A real-time clearance measurement technology will be conducive to the optimization design of tip clearance and rapid active clearance control implementation.


### 2.2. Optical Fiber Displacement Sensor Based on Reflective Light Intensity-Modulated Principle

The measurement system consists of the reflective intensity-modulated optical fiber bundle (sensor), main signal processing unit, high-speed data acquisition card, and a computer, shown in Figure3. When the measurement system works, the light was sent out from the light source and transmitted to the blade tip surface firstly, and then the receiving fibers received the reflective light and sent it to the photoelectric converter. The size of the received light intensity reflects the distance between the reflector and the fiber probe.Figure 3
Optical fiber tip clearance measurement system.


#### 2.2.1. Structure of the Reflective Light Intensity-Modulated Fiber Bundle Probe

The optical fiber structural parameters (fiber core diameter, numerical aperture, and fiber optic axis spacing) have an important influence on the sensor’s characteristics. In recent years, fiber optic displacement sensors based on intensity modulation technique have received more considerable research efforts [14], and the sensor model is established based on different assumptions. The double-circle coaxial optical fiber bundle probe was designed for tip clearance measurement in this paper.The structure of the reflective intensity-modulated optical fiber bundle composed of a double-circle coaxial optical fiber bundle, as Figure4 shows. The bundling was divided into three parts: the emitting fiber (1 fiber, EF), the inner receiving fibers (6 fibers, RFa), and the outer receiving fibers (12 fibers, RFb). And the design parameters of the sensor fiber bundle are shown in Table 1.Table 1
Design parameters of the sensor fiber probe.
Parameters Value Emitting fiber (EF) Fiber radius (nucleus) 150μm Fiber cladding 15μm NA 0.22  Receiving fibers (RFs) Fiber radius (nucleus) 150μm Fiber cladding 15μm NA 0.37  Fiber type: standard multimode optical fiber  Fiber length 1.5 m  a: diameter of middle fiber bundle 1050μmFigure 4
Structure of the reflective intensity-modulated optical fiber bundle.
(a)
Arrangement of the fiber bundle (b)
Principle of reflective light intensity-modulated


#### 2.2.2. Reflective Light Intensity-Modulated Principle

For the double-circle coaxial optical fiber bundle shown in Figure4, the distance between EF of any fiber of RFa is d, and the distance between EF of any fiber of RFb is 2d. Based on the output optical field distribution function established by Yuan [14] and the intensity modulation mechanism of the two-circle reflective coaxial fiber bundle, The received light intensity of RFa and RFb can be written, respectively, as follows:(2)I1=ρ1·K0K1S1I0πσ2a021+ζ2z/a03/2tan⁡θ02·exp⁡-∑iηiri·exp⁡-d2σ2a021+ζ2z/a03/2tan⁡θ02I2=ρ2·K0K2S2I0πσ2a021+ζ2z/a03/2tan⁡θ02·exp⁡-∑jηjrj·exp⁡-2d2σ2a021+ζ2z/a03/2tan⁡θ02.Here,I1 is The received light intensity of RFa/cd; I2 is the received light intensity of RFb/cd; d is the distance between EF and RFa/μm; I0 is the light intensity by which light source coupled to the EF/cd; K0 is the loss of light in optical fiber; σ is the parameter related to the optical fiber refractive index profiles, and, for step index optical fiber, σ=1; a0 is the fiber radius/μm; ζ is the parameter that related to the type of the light source and how the light source coupled to the optical fiber; θ0 is the maximum exit angle of the fiber/rad; ρ is the specular reflectance; exp⁡(-∑iηiri) is fiber bending losses; S is the fiber capture area/mm2.Based on the structure of the double-circle coaxial optical fiber bundle as shown in Figure4, dividing both receiving light intensity of RFa and receiving light intensity of RFb, we obtain (3)Mz=I2I1.Here, M(z) is the ratio of the light intensity received by RFb and RFa.Substituting (2) into (3), we gain the following equation:(4)Mz=ρ2K2S2ρ1K1S1·exp⁡-∑jηjrjexp⁡-∑iηiri·exp⁡-2d2/a021+ζ2z/a03/2tan⁡θ02exp⁡-d2/a021+ζ2z/a03/2tan⁡θ02.For blade tip plane, the difference of the surface reflectivity can be neglected, and the receiving fiber bundles RFa and RFb are with the same materials and core area; in addition, the intrinsic loss and the loss caused by fiber bending are nearly equal, so (4) can be simplified as follows:(5)ρ1=ρ2S1=S2K1=K2exp⁡-∑iηiri=exp⁡-∑jηjrj.And we obtain the output characteristic function of the fiber bundle:(6)Mz=exp⁡-3·d2a021+ζ2z/a03/2tan⁡θ02.Therefore, the quotient of the irradiance only depends on a constant related to the losses in the optical fibers and it is a function of the distance to the illuminated blade.


### 2.3. Light Intensity to Voltage Converter and Low-Pass Filter Circuit

Light intensity to voltage converter and the low-pass filter circuit is composed of photovoltaic module, signal multiplication, dark error offset circuit, and low-pass filter circuit, as shown in Figure5. The main function of photovoltaic module is converting the light intensity signal reflected by the blade tip into a voltage signal. And the OPT101 (Burr-Brown) was chosen as the light-to-voltage device in this system, as OPT101 has a very large measurement area that collects a significant amount of light and thus allows for high-sensitivity measurements. The internal feedback resistor is laser trimmed to 1 MΩ. Using this resistor, the output voltage responsivity, RV, is approximately 0.45 V/μw at 650 nm wavelength. The dark errors in the electrical characteristics table include all sources. The OPT101 voltage output is 7.5 mV dc with no light and increases with increasing illumination. In order to trim the dark output voltage to zero, a low-impedance offset driver (op amp) was used to drive pin 8 (Common) of OTP101 because this node has signal-dependent currents [20].Figure 5
Light intensity to voltage converter and Low-pass filter circuit.The signal multiplication circuit was designed to improve the signal-to-noise ratio and ensure the accuracy of sampling data. As Figure5 shows, the operational amplifier INA118 was chosen in this system.Low-pass filter module is designed for antialiasing filter. According to the sampling theorem, in order to avoid frequency aliasing, the sampling frequency must be as large again as the highest signal frequency or larger. The max RPM is 6000 r/min; the cutoff frequency is set to 30 kHz, which is 10 times the highest frequency of the rotor.


## 2.1. Tip Clearance Change Mechanism

The simplified model of the tip clearance is shown as Figure1. The left side of the figure shows a cross section of the high-pressure turbine; we can see that the model mainly includes three parts, turbine rotor, blades, and the tip seal (shroud/case). The turbine rotor is mainly made up of the rotor blades, turbine, a turbine shaft, and other parts. The blades are composed of blade body and rabbet that translate the high temperature combustion gas energy into the mechanical work. Turbine casing is an important component of the engine support system; it is usually assumed that the general geometry of the shroud is a ring-like structure, where the inner surface is coated with an abradable material that also functions as a thermal barrier.Figure 1
Model of tip clearance change.Blade tip clearance variations are caused by the displacement or distortion of both the shroud and rotor system over the operating points of the engine. As mentioned previously, the mechanisms behind these variations come from a number of loads on those static and rotating components, such as engine load, flight loads, and aerodynamic and gyroscopic loads. Those loads can produce both axisymmetric and asymmetric tip clearance changes. The uniform radial displacement of shroud/case and the rotating components created by the uniform loads such as centrifugal, thermal, and internal pressure always bring about axisymmetric clearance changes; centrifugal and thermal loads are responsible for the largest radial variations in tip clearance [1, 16–19]. The nonuniform radial displacement of the stationary structures is usually produced by the nonuniform loads such as gravitational, aerodynamic, and gyroscopic loads that always arouse asymmetric clearance changes. The rotor or blade vibration caused by the fight load (thrust, inertial) will produce asymmetric clearance changes.Considering the above factors, the relative change in the time-varying geometry of each submodel is used to calculate the overall change in tip clearance, as shown in the following equation:(1)Clt=Clcold+rshroudt-rrotort-lbladet-vvibrationt.Here, Clcold is the initial tip clearance, Cl(t), rshroud(t), rrotor(t), lblade(t), and vvibration(t) are, respectively, the total tip clearance, the shroud inner radius, rotor outer radius, blade length, and the rotor vibration displacement as a function of time.Based on literatures [16–19], the tip clearance and speed as a function of time for a given mission profile due to engine loads and flight loads are shown in Figure 2. The operating points throughout the profile have been labeled take-off, cruise, and decal. We can see that the minimum clearance may occur during the take-off and the deceleration or restarting process shown in Figure 2. In take-off process, with speed increasing, the tip clearance diminished rapidly due to the centrifugal load on the rotor as well as the rapid heating of the turbine blades, which causes the rotating components to grow radially outward, but the shroud/case expands at a much slower rate; then, a minimum gap is produced. Shortly after the case expands, the clearance increases. In deceleration (landing) process, the clearance rapidly increased due to the mechanical unloading of the rotor and blades and the thermal lag of the case as it cools. What is more, the acceleration and deceleration caused by the vibration of the rotor will produce obvious tip clearance changes.Figure 2
Tip clearance as a function of time over a given mission profile.In order to avoid rub, reserved clearance must be set when designing turbine. Unfortunately, the extra space always generates nonoptimal clearance which causes the fuel oil consumption increasing in most of the working conditions. A real-time clearance measurement technology will be conducive to the optimization design of tip clearance and rapid active clearance control implementation.


## 2.2. Optical Fiber Displacement Sensor Based on Reflective Light Intensity-Modulated Principle

The measurement system consists of the reflective intensity-modulated optical fiber bundle (sensor), main signal processing unit, high-speed data acquisition card, and a computer, shown in Figure3. When the measurement system works, the light was sent out from the light source and transmitted to the blade tip surface firstly, and then the receiving fibers received the reflective light and sent it to the photoelectric converter. The size of the received light intensity reflects the distance between the reflector and the fiber probe.Figure 3
Optical fiber tip clearance measurement system.


### 2.2.1. Structure of the Reflective Light Intensity-Modulated Fiber Bundle Probe

The optical fiber structural parameters (fiber core diameter, numerical aperture, and fiber optic axis spacing) have an important influence on the sensor’s characteristics. In recent years, fiber optic displacement sensors based on intensity modulation technique have received more considerable research efforts [14], and the sensor model is established based on different assumptions. The double-circle coaxial optical fiber bundle probe was designed for tip clearance measurement in this paper.The structure of the reflective intensity-modulated optical fiber bundle composed of a double-circle coaxial optical fiber bundle, as Figure4 shows. The bundling was divided into three parts: the emitting fiber (1 fiber, EF), the inner receiving fibers (6 fibers, RFa), and the outer receiving fibers (12 fibers, RFb). And the design parameters of the sensor fiber bundle are shown in Table 1.Table 1
Design parameters of the sensor fiber probe.
Parameters Value Emitting fiber (EF) Fiber radius (nucleus) 150μm Fiber cladding 15μm NA 0.22  Receiving fibers (RFs) Fiber radius (nucleus) 150μm Fiber cladding 15μm NA 0.37  Fiber type: standard multimode optical fiber  Fiber length 1.5 m  a: diameter of middle fiber bundle 1050μmFigure 4
Structure of the reflective intensity-modulated optical fiber bundle.
(a)
Arrangement of the fiber bundle (b)
Principle of reflective light intensity-modulated


### 2.2.2. Reflective Light Intensity-Modulated Principle

For the double-circle coaxial optical fiber bundle shown in Figure4, the distance between EF of any fiber of RFa is d, and the distance between EF of any fiber of RFb is 2d. Based on the output optical field distribution function established by Yuan [14] and the intensity modulation mechanism of the two-circle reflective coaxial fiber bundle, The received light intensity of RFa and RFb can be written, respectively, as follows:(2)I1=ρ1·K0K1S1I0πσ2a021+ζ2z/a03/2tan⁡θ02·exp⁡-∑iηiri·exp⁡-d2σ2a021+ζ2z/a03/2tan⁡θ02I2=ρ2·K0K2S2I0πσ2a021+ζ2z/a03/2tan⁡θ02·exp⁡-∑jηjrj·exp⁡-2d2σ2a021+ζ2z/a03/2tan⁡θ02.Here,I1 is The received light intensity of RFa/cd; I2 is the received light intensity of RFb/cd; d is the distance between EF and RFa/μm; I0 is the light intensity by which light source coupled to the EF/cd; K0 is the loss of light in optical fiber; σ is the parameter related to the optical fiber refractive index profiles, and, for step index optical fiber, σ=1; a0 is the fiber radius/μm; ζ is the parameter that related to the type of the light source and how the light source coupled to the optical fiber; θ0 is the maximum exit angle of the fiber/rad; ρ is the specular reflectance; exp⁡(-∑iηiri) is fiber bending losses; S is the fiber capture area/mm2.Based on the structure of the double-circle coaxial optical fiber bundle as shown in Figure4, dividing both receiving light intensity of RFa and receiving light intensity of RFb, we obtain (3)Mz=I2I1.Here, M(z) is the ratio of the light intensity received by RFb and RFa.Substituting (2) into (3), we gain the following equation:(4)Mz=ρ2K2S2ρ1K1S1·exp⁡-∑jηjrjexp⁡-∑iηiri·exp⁡-2d2/a021+ζ2z/a03/2tan⁡θ02exp⁡-d2/a021+ζ2z/a03/2tan⁡θ02.For blade tip plane, the difference of the surface reflectivity can be neglected, and the receiving fiber bundles RFa and RFb are with the same materials and core area; in addition, the intrinsic loss and the loss caused by fiber bending are nearly equal, so (4) can be simplified as follows:(5)ρ1=ρ2S1=S2K1=K2exp⁡-∑iηiri=exp⁡-∑jηjrj.And we obtain the output characteristic function of the fiber bundle:(6)Mz=exp⁡-3·d2a021+ζ2z/a03/2tan⁡θ02.Therefore, the quotient of the irradiance only depends on a constant related to the losses in the optical fibers and it is a function of the distance to the illuminated blade.


## 2.2.1. Structure of the Reflective Light Intensity-Modulated Fiber Bundle Probe

The optical fiber structural parameters (fiber core diameter, numerical aperture, and fiber optic axis spacing) have an important influence on the sensor’s characteristics. In recent years, fiber optic displacement sensors based on intensity modulation technique have received more considerable research efforts [14], and the sensor model is established based on different assumptions. The double-circle coaxial optical fiber bundle probe was designed for tip clearance measurement in this paper.The structure of the reflective intensity-modulated optical fiber bundle composed of a double-circle coaxial optical fiber bundle, as Figure4 shows. The bundling was divided into three parts: the emitting fiber (1 fiber, EF), the inner receiving fibers (6 fibers, RFa), and the outer receiving fibers (12 fibers, RFb). And the design parameters of the sensor fiber bundle are shown in Table 1.Table 1
Design parameters of the sensor fiber probe.
Parameters Value Emitting fiber (EF) Fiber radius (nucleus) 150μm Fiber cladding 15μm NA 0.22  Receiving fibers (RFs) Fiber radius (nucleus) 150μm Fiber cladding 15μm NA 0.37  Fiber type: standard multimode optical fiber  Fiber length 1.5 m  a: diameter of middle fiber bundle 1050μmFigure 4
Structure of the reflective intensity-modulated optical fiber bundle.
(a)
Arrangement of the fiber bundle (b)
Principle of reflective light intensity-modulated


## 2.2.2. Reflective Light Intensity-Modulated Principle

For the double-circle coaxial optical fiber bundle shown in Figure4, the distance between EF of any fiber of RFa is d, and the distance between EF of any fiber of RFb is 2d. Based on the output optical field distribution function established by Yuan [14] and the intensity modulation mechanism of the two-circle reflective coaxial fiber bundle, The received light intensity of RFa and RFb can be written, respectively, as follows:(2)I1=ρ1·K0K1S1I0πσ2a021+ζ2z/a03/2tan⁡θ02·exp⁡-∑iηiri·exp⁡-d2σ2a021+ζ2z/a03/2tan⁡θ02I2=ρ2·K0K2S2I0πσ2a021+ζ2z/a03/2tan⁡θ02·exp⁡-∑jηjrj·exp⁡-2d2σ2a021+ζ2z/a03/2tan⁡θ02.Here,I1 is The received light intensity of RFa/cd; I2 is the received light intensity of RFb/cd; d is the distance between EF and RFa/μm; I0 is the light intensity by which light source coupled to the EF/cd; K0 is the loss of light in optical fiber; σ is the parameter related to the optical fiber refractive index profiles, and, for step index optical fiber, σ=1; a0 is the fiber radius/μm; ζ is the parameter that related to the type of the light source and how the light source coupled to the optical fiber; θ0 is the maximum exit angle of the fiber/rad; ρ is the specular reflectance; exp⁡(-∑iηiri) is fiber bending losses; S is the fiber capture area/mm2.Based on the structure of the double-circle coaxial optical fiber bundle as shown in Figure4, dividing both receiving light intensity of RFa and receiving light intensity of RFb, we obtain (3)Mz=I2I1.Here, M(z) is the ratio of the light intensity received by RFb and RFa.Substituting (2) into (3), we gain the following equation:(4)Mz=ρ2K2S2ρ1K1S1·exp⁡-∑jηjrjexp⁡-∑iηiri·exp⁡-2d2/a021+ζ2z/a03/2tan⁡θ02exp⁡-d2/a021+ζ2z/a03/2tan⁡θ02.For blade tip plane, the difference of the surface reflectivity can be neglected, and the receiving fiber bundles RFa and RFb are with the same materials and core area; in addition, the intrinsic loss and the loss caused by fiber bending are nearly equal, so (4) can be simplified as follows:(5)ρ1=ρ2S1=S2K1=K2exp⁡-∑iηiri=exp⁡-∑jηjrj.And we obtain the output characteristic function of the fiber bundle:(6)Mz=exp⁡-3·d2a021+ζ2z/a03/2tan⁡θ02.Therefore, the quotient of the irradiance only depends on a constant related to the losses in the optical fibers and it is a function of the distance to the illuminated blade.


## 2.3. Light Intensity to Voltage Converter and Low-Pass Filter Circuit

Light intensity to voltage converter and the low-pass filter circuit is composed of photovoltaic module, signal multiplication, dark error offset circuit, and low-pass filter circuit, as shown in Figure5. The main function of photovoltaic module is converting the light intensity signal reflected by the blade tip into a voltage signal. And the OPT101 (Burr-Brown) was chosen as the light-to-voltage device in this system, as OPT101 has a very large measurement area that collects a significant amount of light and thus allows for high-sensitivity measurements. The internal feedback resistor is laser trimmed to 1 MΩ. Using this resistor, the output voltage responsivity, RV, is approximately 0.45 V/μw at 650 nm wavelength. The dark errors in the electrical characteristics table include all sources. The OPT101 voltage output is 7.5 mV dc with no light and increases with increasing illumination. In order to trim the dark output voltage to zero, a low-impedance offset driver (op amp) was used to drive pin 8 (Common) of OTP101 because this node has signal-dependent currents [20].Figure 5
Light intensity to voltage converter and Low-pass filter circuit.The signal multiplication circuit was designed to improve the signal-to-noise ratio and ensure the accuracy of sampling data. As Figure5 shows, the operational amplifier INA118 was chosen in this system.Low-pass filter module is designed for antialiasing filter. According to the sampling theorem, in order to avoid frequency aliasing, the sampling frequency must be as large again as the highest signal frequency or larger. The max RPM is 6000 r/min; the cutoff frequency is set to 30 kHz, which is 10 times the highest frequency of the rotor.


## 3. Experimental Setup

To verify the performance of the optical fiber tip clearance measurement system, a measurement experiment system was built (shown in Figure6). In Figure 6, we have the following: (1) the rotor test-platform (the speed range of the rotor test-platform was from 0 to 6000 rpm), (2) the rotor (with blades), (3) the optical fiber bundle, (4) the main signal processing unit, (5) the high-speed data acquisition card (USB-1901, ADLINK), (6) computer, (7) the DC power supply (MCH-305D), and (8) the laser light source (type: JW3105B, wavelength: 650 nm, and power: 10 mW).Figure 6
Optical fiber tip clearance measurement system test rig.The speed adjustable range of the rotor test rig is 0~6000 r/min. In dynamic simulation measurement experiment, the system dynamic characteristic was verified by adjusting the rotor rotational speed. The blade tip clearance data was acquired using optical fiber displacement probes as shown in Figure7. As Figure 7 shows, the rotor had an outside diameter of 90 mm. The thinnest portion of the rotor’s web was 2.5 mm. Ten blades were spaced evenly around the circumference of the disk. Each blade had a cross section of 15 mm by 0.8 mm and a height of 15 mm.Figure 7
Simulated rotor and optical fiber displacement sensor.The displacement calibration platform was used to calibrate the fiber bundle as shown in Figure8. The platform is composed of a digital micrometer (distance change), a calibration metal plane, and a metal fixed platform, and the accuracy is 0.001 mm.Figure 8
Displacement calibration platform.


## 4. Results and Discussion

### 4.1. Static Performance of the System

#### 4.1.1. Measurement Range and Accuracy and Sensitivity

The calibration components shown in Figure8 have been used for gaining the measurement range and accuracy of the sensor. During the calibration process, the optical fiber bundle was fixed to the end of the calibration platform by a bolt; the reflector was manipulated moving 25 μm in one step in the range of 0~10 mm. Using this procedure, the calibration curve (shown in Figure 9) of the sensor was obtained. As Figure 9 shows, the sensitivity and linear range are obtained by fitting the experimental RFa/RFb to a linear expression with 99%  R-square value, the ratio-displacement curve of the receiving fiber bundles RFa and RFb has good linearity in the 3~8 mm range, and it can be seen from Figure 9 that its sensitivity is 0.0733/mm. We can see that the sensitivity has very little changes in the measurement range of 3~8 mm as well.Figure 9
Displacement measurement calibration.


#### 4.1.2. Stability Test

A long-term stability experiment was conducted; in the experiment process, the fiber probe was fixed 5 mm away from reflector. In our experiment, both the output of the measurement system and the environmental temperature of testing system were acquired as a function of time, and the data were collected for 24 h. The results are shown in Figure10. We can see that the output of the system drifts with time, and the drift is strongly correlated with the environmental temperature, although this drift is very small. This can be explained by the fact that the probe expands/contracts in dimension when temperature changes.Figure 10
Measurement system stability test result.


### 4.2. Dynamic Performance of the System

Taking into account the fact that our measurement system’s linear range is 3~8 mm and the vibration changes range of our rotor test rig between 0 and 2.5 mm, the preinstalled initial distance between the blade tip and the fiber probe is near 5.5 mm, as shown in Figure7. As shown in Figure 11, the curve shows the filtered signals from the photodetectors and their quotient at a working point of 0 RPM. Based on the calibration results of the optical fiber sensor as shown in Figure 9, we obtain the real initial distance of each blade tip from the optical fiber probe, as shown in Figure 12. In Figure 12, the black number is the maximum distance of blade tip pass through sensor probe; the red number is the minimum distance of blade tip pass through sensor probe. From Figure 12, we can see that the initial distance of every blade is different; what is more, the tip clearances of all blades have the same change phenomena when the blade passes through the front of the optical fiber probe. This can be explained by the blade tip surface with a small tilt angle; the geometry relationship of blade tip via the probe was shown in Figure 13.Figure 11
Filtered signals from the photodetectors and their quotient at a working point of 0 RPM.Figure 12
The real initial distance of each blade tip from the optical fiber probe at 0 RPM.Figure 13
The front view when the blade passes through the probe.The typical dynamic outputs (filtered signals data) from the photodetectors as they pass under the optical fiber probe on the simulated rotor spinning at 500, 1000, 2000, 3000, 4000, and 5000 rpm are shown in Figure15. For above rotational speed, the passing frequencies of the rotate blade are 83 Hz, 166 Hz, 334 Hz, 500 Hz, 667 Hz, and 833 Hz, respectively. Based on sampling theorem, the sampling frequency should be 2 to 5 times the signal being measured; as Figure 14 shows, our test system could acquire the blade tip profile completely at above speed.Figure 14
The raw filtered signals data from the photodetectors at different working point.Figure 15
Tip clearance measured at different rotor working speed.An additional means of viewing the data is shown in the polar plots of Figure15 and each blade tip clearance changes curve with rotational speed increasing was shown in Figure 16. As noted previously, these plots show that the blade tip clearances decrease as the fan speed is increased. A more noticeable change in the individual clearances can be observed in the polar plot in Figure 15. With the rotation speed increasing, the rotor vibration amplitude is larger; and the tip clearance has been smaller when working 3000 RPM as the speed close to the critical speed of the rotor test rig. With the speed across the natural frequency of the rotor, the tip clearance slightly increased (shown as Figure 15; the curve of 5000 RPM).Figure 16
The tip clearance of each blade with rotational speed increasing.


## 4.1. Static Performance of the System

### 4.1.1. Measurement Range and Accuracy and Sensitivity

The calibration components shown in Figure8 have been used for gaining the measurement range and accuracy of the sensor. During the calibration process, the optical fiber bundle was fixed to the end of the calibration platform by a bolt; the reflector was manipulated moving 25 μm in one step in the range of 0~10 mm. Using this procedure, the calibration curve (shown in Figure 9) of the sensor was obtained. As Figure 9 shows, the sensitivity and linear range are obtained by fitting the experimental RFa/RFb to a linear expression with 99%  R-square value, the ratio-displacement curve of the receiving fiber bundles RFa and RFb has good linearity in the 3~8 mm range, and it can be seen from Figure 9 that its sensitivity is 0.0733/mm. We can see that the sensitivity has very little changes in the measurement range of 3~8 mm as well.Figure 9
Displacement measurement calibration.


### 4.1.2. Stability Test

A long-term stability experiment was conducted; in the experiment process, the fiber probe was fixed 5 mm away from reflector. In our experiment, both the output of the measurement system and the environmental temperature of testing system were acquired as a function of time, and the data were collected for 24 h. The results are shown in Figure10. We can see that the output of the system drifts with time, and the drift is strongly correlated with the environmental temperature, although this drift is very small. This can be explained by the fact that the probe expands/contracts in dimension when temperature changes.Figure 10
Measurement system stability test result.


## 4.1.1. Measurement Range and Accuracy and Sensitivity

The calibration components shown in Figure8 have been used for gaining the measurement range and accuracy of the sensor. During the calibration process, the optical fiber bundle was fixed to the end of the calibration platform by a bolt; the reflector was manipulated moving 25 μm in one step in the range of 0~10 mm. Using this procedure, the calibration curve (shown in Figure 9) of the sensor was obtained. As Figure 9 shows, the sensitivity and linear range are obtained by fitting the experimental RFa/RFb to a linear expression with 99%  R-square value, the ratio-displacement curve of the receiving fiber bundles RFa and RFb has good linearity in the 3~8 mm range, and it can be seen from Figure 9 that its sensitivity is 0.0733/mm. We can see that the sensitivity has very little changes in the measurement range of 3~8 mm as well.Figure 9
Displacement measurement calibration.


## 4.1.2. Stability Test

A long-term stability experiment was conducted; in the experiment process, the fiber probe was fixed 5 mm away from reflector. In our experiment, both the output of the measurement system and the environmental temperature of testing system were acquired as a function of time, and the data were collected for 24 h. The results are shown in Figure10. We can see that the output of the system drifts with time, and the drift is strongly correlated with the environmental temperature, although this drift is very small. This can be explained by the fact that the probe expands/contracts in dimension when temperature changes.Figure 10
Measurement system stability test result.


## 4.2. Dynamic Performance of the System

Taking into account the fact that our measurement system’s linear range is 3~8 mm and the vibration changes range of our rotor test rig between 0 and 2.5 mm, the preinstalled initial distance between the blade tip and the fiber probe is near 5.5 mm, as shown in Figure7. As shown in Figure 11, the curve shows the filtered signals from the photodetectors and their quotient at a working point of 0 RPM. Based on the calibration results of the optical fiber sensor as shown in Figure 9, we obtain the real initial distance of each blade tip from the optical fiber probe, as shown in Figure 12. In Figure 12, the black number is the maximum distance of blade tip pass through sensor probe; the red number is the minimum distance of blade tip pass through sensor probe. From Figure 12, we can see that the initial distance of every blade is different; what is more, the tip clearances of all blades have the same change phenomena when the blade passes through the front of the optical fiber probe. This can be explained by the blade tip surface with a small tilt angle; the geometry relationship of blade tip via the probe was shown in Figure 13.Figure 11
Filtered signals from the photodetectors and their quotient at a working point of 0 RPM.Figure 12
The real initial distance of each blade tip from the optical fiber probe at 0 RPM.Figure 13
The front view when the blade passes through the probe.The typical dynamic outputs (filtered signals data) from the photodetectors as they pass under the optical fiber probe on the simulated rotor spinning at 500, 1000, 2000, 3000, 4000, and 5000 rpm are shown in Figure15. For above rotational speed, the passing frequencies of the rotate blade are 83 Hz, 166 Hz, 334 Hz, 500 Hz, 667 Hz, and 833 Hz, respectively. Based on sampling theorem, the sampling frequency should be 2 to 5 times the signal being measured; as Figure 14 shows, our test system could acquire the blade tip profile completely at above speed.Figure 14
The raw filtered signals data from the photodetectors at different working point.Figure 15
Tip clearance measured at different rotor working speed.An additional means of viewing the data is shown in the polar plots of Figure15 and each blade tip clearance changes curve with rotational speed increasing was shown in Figure 16. As noted previously, these plots show that the blade tip clearances decrease as the fan speed is increased. A more noticeable change in the individual clearances can be observed in the polar plot in Figure 15. With the rotation speed increasing, the rotor vibration amplitude is larger; and the tip clearance has been smaller when working 3000 RPM as the speed close to the critical speed of the rotor test rig. With the speed across the natural frequency of the rotor, the tip clearance slightly increased (shown as Figure 15; the curve of 5000 RPM).Figure 16
The tip clearance of each blade with rotational speed increasing.


## 5. Conclusion

In this paper, we propose an optical fiber tip clearance system. The optical fiber tip clearance measurement system consists of the reflective intensity-modulated optical fiber bundle, main signal processing unit, high-speed data acquisition card, and a computer. The structure of the fiber bundle was designed based on the tip clearance change mechanism; and then the principle of the reflective light intensity-modulated function of the fiber bundle we designed was obtained. The light intensity to voltage converter and filter circuit were given.In order to verify the performance of the system we designed, the static performance and dynamic performance measurement experiments were done on a simulated rotor test rig. The results show that the accuracy of the system is 25μm or better; the clearance measurement range is about 5 mm, and sensitivity of the sensor is −0.0733/mm. Furthermore, the typical tip clearance dynamic measurement experiment results show that the system has good dynamic response characteristics as well.



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*Source: 4168150-2017-02-28.xml*