# Control of Surge in Centrifugal Compressor by Using a Nozzle Injection System: Universality in Optimal Position of Injection Nozzle

Authors: Toshiyuki Hirano; Takanori Uchida; Hoshio Tsujita
Journal: International Journal of Rotating Machinery
 (2012)

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## Abstract

The passive control method for surge and rotating stall in centrifugal compressors by using a nozzle injection system was proposed to extend the stable operating range to the low flow rate. A part of the flow at the scroll outlet of a compressor was recirculated to an injection nozzle installed on the inner wall of the suction pipe of  the compressor through the bypass pipe and injected to the impeller inlet. Two types of compressors were tested at the rotational speeds of 50,000 rpm and 60,000 rpm with the parameter of the circumferential position of the injection nozzle. The present experimental results revealed that the optimum circumferential position, which most effectively reduced the flow rate for the surge inception, existed at the opposite side of the tongue of the scroll against the rotational axis and did not depend on the compressor system and the rotational speeds.


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## Body

## 1. Introduction

In recent years, the global approach to environmental protection has progressed and the measures against the problems such as the exhaust gas of cars and the fossil fuels depletion are urgent tasks. A turbocharger, as a part of the technology dealing with environmental problems, is expected to clean the exhaust gas from automobile engines by improving combustion efficiency, and to contribute to the reduction of fuel consumption through downsizing of engine leading to the weight reduction. Therefore, the application of a turbocharger to various types of vehicle is developing rapidly. Moreover, since the centrifugal compressor, which is a main component of turbocharger, possesses higher pressure ratio in a single stage and consequently contributes to the reduction in size and weight, it is widely used for many kinds of industrial machines as well as turbochargers. Therefore, the extension of the stable operation range and the improvement of the supercharging characteristics of a centrifugal compressor are required dramatically.The operation of a centrifugal compressor of turbocharger at a lower flow rate close to the maximum pressure ratio induces instability phenomena such as rotating stall and surge. Especially, the surge may generate enough intense vibration and noise to destroy the whole pipeline system including a compressor. Moreover, it strongly influences the performance characteristics of the compressor. As a result, the stable operation range is inevitably restricted. Therefore, several investigations [1–6] have been carried out to control the inception of instability phenomena for the purpose of the extension of stable operation range of a centrifugal compressor to the lower flow rate.In the previous studies on the control of surge in a centrifugal compressor, the injection nozzle system was employed, in which a part of the flow in the discharge duct was recirculated to the inlet of the impeller, and controlled the inceptions of rotating stall and surge [7]. Moreover, optimization of the parameters affecting on the performance of the injection nozzle system such as a position of injection has been performed [8]. Furthermore, the dependency of the optimum injection position on the rotational speed of the impeller has been investigated [9]. However, since these studies have been performed for the same turbocharger system, the universality in the characteristics of the injection nozzle has not been clarified yet.In this study, the optimum circumferential position of injection nozzle, which most effectively reduced the flow rate for the surge inception, was investigated for two types of compressors at rotational speeds of 50,000 rpm and 60,000 rpm to examine the universality of the optimum circumferential position of injection nozzle. In addition, the influences of the injection on the fluctuating property of the flow field before and after the surge inception were investigated by examining the frequency of static pressure fluctuation on the wall surface.


## 2. Experimental Apparatus

The experimental apparatus used in this study is shown in Figure1. The configurations and the specifications of centrifugal impellers for two types of centrifugal compressors Type A and Type B are shown in Figure 2 and Table 1, respectively. The outlet blade angle is measured from a radial direction. The compressed air supplied from the screw compressor was used to drive the turbine impeller which revolved the compressor impeller through the corotating axis. A part of the air at the exit of the compressor scroll, which was compressed by the centrifugal impeller and the vaneless diffuser, was recirculated into the injection nozzle installed at the impeller inlet through the bypass pipe. Then, the remaining air was discharged through the delivery duct. The inner diameter of the injection nozzle used in this study is 4 mm. The injection nozzle is installed on the inner wall of the suction pipe of compressor, which is movable in the circumferential direction as shown in Figure 3.Table 1
Specifications of impeller.
Type of compressor
A
B
Inlet diameter (mm)
43.38
45
Outlet diameter (mm)
56
60
Number of blades
12
12
Outlet blade angle (deg.)
40
60
Inlet blade height (mm)
15.4
14
Outlet blade height (mm)
4.08
5.6
Blade thickness (mm)
0.4
0.675Figure 1
Experimental apparatus (unit: mm).Tested impeller (unit: mm).
(a)
Type A
(b)
Type BFigure 3
Injection nozzle (unit: mm).


## 3. Experimental Method

The origin of a circumferential position of the injection nozzle indicated by TT(0) is located at the corresponding position to the scroll tongue portion as shown in Figure4. The circumferential position of the injection nozzle TT has the positive value in the rotational direction of the centrifugal impeller. In the following, the case with the injection nozzle is named “Injection,” and that without the injection nozzle is named “Normal.” The performance tests of compressors were performed at the corrected rotational speed of 50,000 rpm and 60,000 rpm. In each experiment, the flow rate was decreased gradually from the full opening condition by closing the gate valve installed at the downstream side of the delivery duct, until the surge inception. In this study, the preexperiments were performed to relate the degree of the gate valve opening to the flow rate. The limiting flow rate for the surge inception is defined as the flow rate at the degree of valve opening opened by its minimum revolution from that at which a sudden increase of the pressure fluctuation caused by the surge is observed. In this study, the surge inception was detected by the observation of the pressure fluctuation caused by the surge, which was suddenly increased by gradually closing the valve by its minimum revolution. In the experiments for Injection, the experiments were carried out at every 30 degrees of TT from TT(0). Moreover, the experiments for Type B were made at 15-degree intervals around the optimum TT which remarkably reduced the limiting flow rate for surge inception. The exit of  the injection nozzle was located at 1 mm upstream of the inlet of the impeller for every experimental condition of Injection. The thermocouples were used to measure the temperature at both the inlet and outlet of the compressor. The static pressure at delivery duct and the pressure difference across the orifice were measured by the pressure transducer. The uncertainty for the measured pressure data is ±5 kPa. The corrected flow rate Q and the pressure ratio πt were defined by the following equations:
(1)Q=Q0Pa0PaT1T0[kg/s],(2)πt=PtPa[-],
where Q0 is the measured flow rate, Pa0 is the standard atmospheric pressure, Pa is the measured atmospheric pressure, T1 is the measured temperature, T0 is the standard temperature, and Pt is the measured total pressure at the compressor outlet. In order to investigate the unstable phenomena, the wall static pressure fluctuation was measured at 1800 mm downstream of the compressor exit. The frequency characteristics of the wall static pressure fluctuation were analyzed by performing FFT. Flow sensor was installed at the bypass pipe to measure the flow rate ejected from the injection nozzle.Definition for position of injection nozzle.
(a)
Type A
(b)
Type B


## 4. Results and Discussion

### 4.1. Performance Characteristics

Figure5 shows the performance characteristics for Normal and Injection of Type A and Type B at rotational speeds of 50,000 rpm and 60,000 rpm. Figure 6 shows the performance characteristics at the low flow rate region for TT(0) and TT(180) of Injection, which remarkably reduced the limiting flow rate for surge inception as shown later, with that for Normal.Performance characteristics.
(a)
Type A
(b)
Type BFigure 6
Performance characteristics at low flow rate.The performance curves for Injection almost coincide with those for Normal in both Type A and Type B for every rotational speed (Figure5). Therefore, it is apparent that the influence of the injection system on the performance characteristics of the compressor is negligible. Moreover, the limiting flow rate for surge inception is reduced by using the nozzle injection system as shown in Figure 6. Therefore, the nozzle injection system is recognized to have ability to extend the stable operating range to the lower flow rate region. It is considered that the injection on the inner wall of the suction pipe of the impeller would reduce the reversed flow region distributed on the shroud side wall from the diffuser exit up to the impeller inlet which appeared before the surge inception and consequently extend the limiting flow rate for surge inception to the lower flow rate region.


### 4.2. Optimal Injection Position

In order to evaluate the effect of injection on the reduction of limiting flow rate for surge inception, the improvement rate of surge marginIR was defined by the following equation:
(3)IR=QN-QIQN×100[%],
where QN and QImean the limiting flow rate for surge inception in Normal and Injection, respectively. Figure 7 gives the relationship between the injection position TT and the improvement rate IR.Improvement rate of surge margin.
(a)
Type A
(b)
Type BThe improvement ratesIR at 50,000 rpm are relatively higher than those at 60,000 rpm in both Type A and Type B. The  IR in Type A exhibits the improvement rate more than 10% for every TT, and the maximum IR more than 20% is achieved especially for TT(180) at each rotational speed (Figure 7(a)). Similar tendency is also observed in Type B (Figure 7(b)), and the maximum improvement rate more than 20% is located around TT(180) at both 50,000 rpm and 60,000 rpm. These results suggest that the optimum circumferential position of the injection nozzle, which produces the maximum improvement ratio, is located around TT(180), which is the opposite side of the tongue of the scroll against the rotational axis, without the dependencies on the compressor type and the rotational speed. In general, the number of stall cell in the diffuser under the rotating stall condition varies from one to two according to the decrease of the flow rate. Moreover, in the case of the compressor with a scroll, the circumferential distribution of  the static pressure on the diffuser endwall becomes nonaxisymmetric and is strongly distorted by the decrease of the flow rate. This distortion of the pressure distribution in the diffuser influences the flow field in the impeller, and consequently on the flow rate for surge inception. Therefore, it is considered that the optimum circumferential position of the injection nozzle has a strong relation with the behavior of  the stall cell and the formation of circumferential distribution of the static pressure in the diffuser.


### 4.3. Frequency Characteristic

(a) Before Surge Inception
Figures8 and 9 show the frequency characteristics of the static pressure fluctuation on the inner wall of the delivery duct at 1800 mm downstream of the compressor exit for Normal and the optimum TT of Injection in Type A and Type B, respectively. The flow rate in the results shown in Figures 8 and 9 is the nearest one to the limiting flow rate for surge inception for Normal. The peaks of the spectrum of pressure fluctuation for Normal at each rotational speed in Type A and Type B are observed around 15 to 30 Hz. The peaks for the optimum TT of Injection are lower than those in Normal. The surge frequencies in Type A and Type B are about 24.5 Hz and 23.5 Hz, respectively, irrespective of the rotational speed, which are different from the frequencies for the peaks observed in Figures 8 and 9. So, the peaks in Figures 8 and 9 are considered to be associated with the unstable phenomenon such as the rotating stall which appears before the surge inception. Therefore, it is considered that the optimum TT of Injection enhances the improvement rate of surge margin by suppressing the unstable phenomenon appearing before the surge inception.Spectrum of pressure fluctuation at delivery duct.
(a)
50,000 rpm (Q≒0.010kg/s)
(b)
60,000 rpm (Q≒0.014kg/s)Spectrum of pressure fluctuation at delivery duct for Type B.
(a)
50,000 rpm (Q≒0.011kg/s)
(b)
60,000 rpm (Q≒0.011kg/s)(b) After Surge Inception
In order to examine the effects of the injection on the flow field under the surge condition, the frequency characteristics for Normal, TT(0), and the optimum TT(180) of Injection in Type A atQ=0.000 kg/s after the surge inception are given in Figure 10. “Q=0.000 kg/s” means the fully closed vane condition.
It is recognized that the peak of spectrum for the surge frequency of Injection becomes less than that of Normal after the surge inception. Moreover, the optimum TT(180) more reduces the peak of spectrum than TT(0). This means that Injection also reduces the strength of the surge, and the optimum circumferential position of injection for the surge reduction coincides with that for the reduction of the limiting flow rate for the surge inception.Spectrum of pressure fluctuation at delivery duct during surge for Type A.
(a)
Normal
(b)
TT(0)
(c)
TT(180)


### 4.4. Injection  Flow Rate

Figure11 shows the injection mass flow rate QRB for TT(0) and the optimum TT(180) of Injection at 50,000 rpm and 60,000 rpm in Type A and Type B. The injection flow rate in each condition is almost constant over the full operating range, but increased by the increase of the rotational speed. This is caused by the increase of pressure ratio due to the increase of the rotational speed. On the other hand, the injection flow rate is almost unaffected by the circumferential position of injection TT at each rotational speed.Injection mass flow rate.
(a)
Type A
(b)
Type BIn order to evaluate the ratio of the injection mass flow rate to the mass flow rate discharged from the delivery duct, the recirculation ratioπR was defined by the following equation:
(4)πR=QRBQN×100[%].Figure12 shows the recirculation ratio πR for TT(0) and the optimum TT(180) of Injection at 50,000 rpm and 60,000 rpm in Type A and Type B. The influence of the circumferential position of injection TT on the recirculation ratio πR is very small. The recirculation ratio is increased by the decrease of the flow rate in every experimental condition. Moreover, the comparison between the rotational speeds indicates that the recirculation ratio πR is increased by the increase of the rotational speed corresponding to the tendency observed for the injection mass flow rate (Figure 11).Recirculation ratio.
(a)
Type A
(b)
Type B


## 4.1. Performance Characteristics

Figure5 shows the performance characteristics for Normal and Injection of Type A and Type B at rotational speeds of 50,000 rpm and 60,000 rpm. Figure 6 shows the performance characteristics at the low flow rate region for TT(0) and TT(180) of Injection, which remarkably reduced the limiting flow rate for surge inception as shown later, with that for Normal.Performance characteristics.
(a)
Type A
(b)
Type BFigure 6
Performance characteristics at low flow rate.The performance curves for Injection almost coincide with those for Normal in both Type A and Type B for every rotational speed (Figure5). Therefore, it is apparent that the influence of the injection system on the performance characteristics of the compressor is negligible. Moreover, the limiting flow rate for surge inception is reduced by using the nozzle injection system as shown in Figure 6. Therefore, the nozzle injection system is recognized to have ability to extend the stable operating range to the lower flow rate region. It is considered that the injection on the inner wall of the suction pipe of the impeller would reduce the reversed flow region distributed on the shroud side wall from the diffuser exit up to the impeller inlet which appeared before the surge inception and consequently extend the limiting flow rate for surge inception to the lower flow rate region.


## 4.2. Optimal Injection Position

In order to evaluate the effect of injection on the reduction of limiting flow rate for surge inception, the improvement rate of surge marginIR was defined by the following equation:
(3)IR=QN-QIQN×100[%],
where QN and QImean the limiting flow rate for surge inception in Normal and Injection, respectively. Figure 7 gives the relationship between the injection position TT and the improvement rate IR.Improvement rate of surge margin.
(a)
Type A
(b)
Type BThe improvement ratesIR at 50,000 rpm are relatively higher than those at 60,000 rpm in both Type A and Type B. The  IR in Type A exhibits the improvement rate more than 10% for every TT, and the maximum IR more than 20% is achieved especially for TT(180) at each rotational speed (Figure 7(a)). Similar tendency is also observed in Type B (Figure 7(b)), and the maximum improvement rate more than 20% is located around TT(180) at both 50,000 rpm and 60,000 rpm. These results suggest that the optimum circumferential position of the injection nozzle, which produces the maximum improvement ratio, is located around TT(180), which is the opposite side of the tongue of the scroll against the rotational axis, without the dependencies on the compressor type and the rotational speed. In general, the number of stall cell in the diffuser under the rotating stall condition varies from one to two according to the decrease of the flow rate. Moreover, in the case of the compressor with a scroll, the circumferential distribution of  the static pressure on the diffuser endwall becomes nonaxisymmetric and is strongly distorted by the decrease of the flow rate. This distortion of the pressure distribution in the diffuser influences the flow field in the impeller, and consequently on the flow rate for surge inception. Therefore, it is considered that the optimum circumferential position of the injection nozzle has a strong relation with the behavior of  the stall cell and the formation of circumferential distribution of the static pressure in the diffuser.


## 4.3. Frequency Characteristic

(a) Before Surge Inception
Figures8 and 9 show the frequency characteristics of the static pressure fluctuation on the inner wall of the delivery duct at 1800 mm downstream of the compressor exit for Normal and the optimum TT of Injection in Type A and Type B, respectively. The flow rate in the results shown in Figures 8 and 9 is the nearest one to the limiting flow rate for surge inception for Normal. The peaks of the spectrum of pressure fluctuation for Normal at each rotational speed in Type A and Type B are observed around 15 to 30 Hz. The peaks for the optimum TT of Injection are lower than those in Normal. The surge frequencies in Type A and Type B are about 24.5 Hz and 23.5 Hz, respectively, irrespective of the rotational speed, which are different from the frequencies for the peaks observed in Figures 8 and 9. So, the peaks in Figures 8 and 9 are considered to be associated with the unstable phenomenon such as the rotating stall which appears before the surge inception. Therefore, it is considered that the optimum TT of Injection enhances the improvement rate of surge margin by suppressing the unstable phenomenon appearing before the surge inception.Spectrum of pressure fluctuation at delivery duct.
(a)
50,000 rpm (Q≒0.010kg/s)
(b)
60,000 rpm (Q≒0.014kg/s)Spectrum of pressure fluctuation at delivery duct for Type B.
(a)
50,000 rpm (Q≒0.011kg/s)
(b)
60,000 rpm (Q≒0.011kg/s)(b) After Surge Inception
In order to examine the effects of the injection on the flow field under the surge condition, the frequency characteristics for Normal, TT(0), and the optimum TT(180) of Injection in Type A atQ=0.000 kg/s after the surge inception are given in Figure 10. “Q=0.000 kg/s” means the fully closed vane condition.
It is recognized that the peak of spectrum for the surge frequency of Injection becomes less than that of Normal after the surge inception. Moreover, the optimum TT(180) more reduces the peak of spectrum than TT(0). This means that Injection also reduces the strength of the surge, and the optimum circumferential position of injection for the surge reduction coincides with that for the reduction of the limiting flow rate for the surge inception.Spectrum of pressure fluctuation at delivery duct during surge for Type A.
(a)
Normal
(b)
TT(0)
(c)
TT(180)


## 4.4. Injection  Flow Rate

Figure11 shows the injection mass flow rate QRB for TT(0) and the optimum TT(180) of Injection at 50,000 rpm and 60,000 rpm in Type A and Type B. The injection flow rate in each condition is almost constant over the full operating range, but increased by the increase of the rotational speed. This is caused by the increase of pressure ratio due to the increase of the rotational speed. On the other hand, the injection flow rate is almost unaffected by the circumferential position of injection TT at each rotational speed.Injection mass flow rate.
(a)
Type A
(b)
Type BIn order to evaluate the ratio of the injection mass flow rate to the mass flow rate discharged from the delivery duct, the recirculation ratioπR was defined by the following equation:
(4)πR=QRBQN×100[%].Figure12 shows the recirculation ratio πR for TT(0) and the optimum TT(180) of Injection at 50,000 rpm and 60,000 rpm in Type A and Type B. The influence of the circumferential position of injection TT on the recirculation ratio πR is very small. The recirculation ratio is increased by the decrease of the flow rate in every experimental condition. Moreover, the comparison between the rotational speeds indicates that the recirculation ratio πR is increased by the increase of the rotational speed corresponding to the tendency observed for the injection mass flow rate (Figure 11).Recirculation ratio.
(a)
Type A
(b)
Type B


## 5. Conclusion

The following conclusions were obtained by the present study.(1)
With the nozzle injection system the stable operating range of the compressor improves and that is a direct effect on the performance characteristic.(2)
The optimum circumferential position of the injection nozzle, which produces the maximum improvement rate, is located around the opposite side of the tongue of the scroll against the rotational axis irrespective of the compressor type and the rotational speed.(3)
The optimum circumferential position of Injection enhances the improvement rate of surge margin by suppressing the unstable phenomenon appearing before the surge inception.(4)
The injection flow rate is almost constant over the full operating range, but increased by the increase of the rotational speed.(5)
The nozzle injection system has also the ability to reduce the strength of the surge.(6)
The optimum circumferential position of Injection for the surge reduction coincides with that for the reduction of the limiting flow rate for the surge inception.



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*Source: 259293-2012-11-14.xml*