Article citation info: POJAWA B. Studying the effects of changes in ambient condition parameters on the torque characteristics of a naval gas turbine. Combustion Engines. 2015, 162(3), 1015-1020. ISSN 2300-9896. Bogdan POJAWA NSS 2015 3508 Studying the effects of changes in ambient condition parameters on the torque characteristics of a naval gas turbine In the operation of multi-engine propulsion systems, a very important issue for strength reasons is the uniformity of the drive engines' load. This is especially important when two or more engines are geared to a single shaft. There are many ways to implement the load uniformity of the operating engines. However, controlling their operation according to the torque is the best solution. In such cases engine torque characteristics are very important, which also applies to naval gas turbine engines. Torque characteristics allow for the determination of the engines' applications, analysis of performance and operating economy, and, what it involves, they help to establish the strategy and costs of the engines operation. In the process of marine gas turbine engine operation, the most important operating characteristic for the user is the characteristics of the engine's cooperation with the receiver of energy. This is particularly important when the power turbine is mated to a controllable pitch propeller (CPP). The article presents the torque characteristics of the selected gas turbine engine, which were determined using the experiment-planning theory, and the results of the experimental tests concerning the impact of changes in ambient condition parameters on the course of the above characteristics. The tests, whose object was the GTD-350 gas turbine engine, were conducted on a laboratory stand. Key words: naval gas turbine, experiment planning, characteristics of naval gas turbine, modeling and simulation Badanie wpływu zmiany parametrów stanu otoczenia na charakterystyki momentu obrotowego okrętowego turbinowego silnika spalinowego Podczas eksploatacji wielosilnikowych układów napędowych bardzo ważnym zagadnieniem ze względów wytrzymałościowych jest równomierność obciążania silników napędowych. Jest to szczególnie ważne w przypadku, gdy występuje praca dwóch lub więcej silników na jedną linię wałów. Istnieje wiele sposobów realizacji równomierności obciążeń pracujących silników. Jednak najlepszym rozwiązaniem jest sterowanie ich pracą według momentu obrotowego. W takich przypadkach bardzo ważne są charakterystyki momentu obrotowego silnika, w tym również okrętowych turbinowych silników spalinowych. Pozwalają one na określenie ich zastosowań, analizę osiągów oraz ekonomiczności pracy, tym samym pozwalają na ustalenie strategii i kosztów ich eksploatacji. W procesie eksploatacji okrętowych turbinowych silników spalinowych, spośród charakterystyk eksploatacyjnych, najistotniejszą dla eksploatatora jest charakterystyka jego współpracy z odbiornikiem energii. W szczególności jeżeli jest nim śruba o skoku nastawnym. W artykule przedstawiono charakterystykę momentu obrotowego wybranego turbinowego silnika spalinowego, wyznaczoną z wykorzystaniem teorii planowania doświadczeń oraz wyniki badań wpływu zmian parametrów stanu otoczenia na przebieg powyższej charakterystyki. Badania przeprowadzono na stanowisku laboratoryjnym z turbinowym silnikiem spalinowym GTD 350. Słowa kluczowe: okrętowy turbinowy silnik spalinowy, plan eksperymentu, charakterystyki okrętowych turbinowych silników spalinowych, modelowanie i symulacja 1. Introduction During the operation of multi-drive systems, a very important issue with respect to strength, is the evenness of load of the propulsion engines. This is particularly important when two or more engines are mated to a single shaft. There are many ways to provide the load uniformity of the operating engines. However, the best way is to control their operation according to the torque. The user manages the load of the engines according to the characteristics contained in the operating instructions, or, as it is in the case of automatic control systems, the engines are not controlled directly, but an automatic control system takes over their control [1 6, 9]. A good example is an automatic load control system of the LM 2500 naval gas turbine engine. This system controls the process of maintaining a constant speed of a sailing ship by means of choosing both the right pitch of the controllable propeller and the fuel flow. Uniformity of loads is not implemented on the basis of torque measurement but on the basis of measuring the thermo-gas-dynamic parameters by the so-called torque computer, which sets (online) the torque of the power turbine based on the measurement of selected physical quantities characterizing the mechanical operation of the engine [6, 9, 15]. The characteristics of the naval gas turbine strongly depend on ambient state parameters. The paper presents an analysis of the impact of changes in ambient state parameters on the torque character- 1015
istics of the naval gas turbine. The study used the determined torque characteristics of the GTD 350 turbine engine. The equations describing the abovementioned characteristics were determined using the experiment-planning theory [6, 10, 11]. The characteristics were determined for the engine operating parameters reduced to standard reference state. Standard reference state is described by standard pressure 1 atm (101 325 Pa) and standard temperature 288,15 K [6, 13]. 2. Object and methods of study The object of the study was the laboratory stand with the GTD 350 turbine engine. The stand is equipped with a miniaturized ship's propulsion system with the naval gas turbine. The main components comprise: twin-shaft GTD 350 turbine engine, one-stage reduction gear H-564 and the receiver of energy in the form of the HWZ 3 Froude water brake. Because of its principle of operation, the brake is a load similar to a controllable pitch propeller (CPP) [7, 14]. The view of the stand is shown in Fig. 1 and the cross-section of the GTD 350 turbine engine is shown in Fig. 2. Fig. 1. The laboratory stand with the GTD 350 turbine engine turbine engine and the controllable pitch propeller. From the operator's perspective, and on the basis of the characteristics of naval gas turbines, it is apparent that those characteristics should show the dependence between effective energy transmitted to the receiver and the energy expressed by the useful torque, depending on [6, 8, 9]: parameters characterizing the energy state of the gas generator exhaust: rotation speed of the gas generator n ; temperature of the exhaust gas behind the combustion chamber T 3 or behind the gas generator T 04 ; air pressure behind the compressor p 2. The most common parameter is the rotational speed of the gas generator n. parameters characterizing the cooperation between the power turbine and the controllable pitch propeller. Usually this is the speed of the power turbine n. The torque characteristics of the studied engine were determined in the previous research study [6]: M 3109,007 3,009 n 109,507 n 1,169 n 2 2 0,012 n (1) 0,152 n where: M engine torque, n gas generator speed, n power turbine speed. n The resulting polynomial allows for the removal of the dependence of the useful torque for any rotational speed of the gas generator n (characterized by its energy state) and any rotational speed of the power turbine n (characterized by its load, in cooperation with a propeller with a given pitch) [6]. The dependence between theuseful torque in the gas generator speed and the power turbine speed is shown in Fig. 3. Fig. 2. Cross-section of the GTD 350 turbine engine [7] In order to determine the characteristics of the above-mentioned mating, we should consider, not a single characteristics of the propeller, but a group of characteristics. Such a group of characteristics creates a field of cooperation between the power Fig. 3. Relation of the useful torque M in the function of the rotation speed of the power turbine n and the gas generator n based on the scope of the experiment plan. [6] 1016
The accuracy of the resultant approximating function was found by determining the standard deviation [6,12]: n M n, = 3,5 N m (2) as well as on the basis of the relative mean square error [6,12]: M n, = 0,32 % (3) n An adequacy study was conducted for the designated torque characteristics of the studied engine. The study was based on a comparison of the adequacy of the characteristics of cooperation between the power turbine and the controllable pitch propeller, for selected values of pitch adjustment H and gas generator speed n, obtained from measurements and calculations [6]. Graphical representation of the results of adequacy is shown in Fig. 4. 2000 1900 1800 1700 1600 1500 Curves from the approximating function Curves from measurements n = 87 % n = 90 % H = max D 1400 n = 84 % 1300 1200 n = 81 % n MAX M [Nm] 1100 1000 900 n = 75 % n = 78 % n 76,6 % n 82 % 800 n = 72 % 700 600 500 400 300 n = 63 % n = 60 % n = 57 % C n = 66 % n = 69 % n 63,5 % n MIN H 2 H 1 200 100 A H = min B 0 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 n [%] Fig. 4. The torque characteristics of GTD 350 turbine engine [6] H propeller pitch, n gas generator speed, n power turbine speed Based on the above figure it can be concluded that the resulting polynomial allows setting a very accurate area of cooperation for GTD-350 engine with an adjustable pitch propeller. Higher inaccuracies only exist in the areas that were not covered by the plan of the experiments.. This applies in particular to the area including the gas generator speeds close to nominal. The area covered by the experimental errors of approximation does not exceed 0.5% [6]. Turbine engines are characterized by the fact that their specific fuel consumption, torque and power are strongly dependent on weather conditions such as varying ambient air pressure p o and temperature T o. Air quality parameters reach different values depending on the season, time of day, area of operation, etc. Changes in engine performance parameters caused by changes in ambient conditions can cause the following: difficulties in achieving a set engine load; exceeding its allowable power which is limited by the strength considerations; unstable operation of the compressor, and even engine failure. Therefore, for the determined torque characteristics of the engine under consideration, an investigation was carried out to assess the impact of changes in ambient state parameters on those characteristics. 3. Results obtained The designated torque characteristics of the engine under consideration (Fig. 4) were determined for the engine operating parameters reduced to standard reference state. Standard reference state is characterized by standard pressure, 1 atm (101 325 Pa), and standard temperature, 288,15 K [13]. The equations shown in Tab. 1. were used in order to determine the above characteristics for any ambient state parameters. The analysis was performed for the following extreme ambient state parameters: 1017
for pressure: p o min = 980 hpa and p o max = 1030 hpa; for temperature: T o min = 243,15 K ( 30 C) and T o max = 303,15 K (30 C). The analysis was performed separately for the pressure and temperature changes. The impact of changes in ambient temperature on torque characteristics of the studied engine, while maintaining a standard pressure 1 atm (101 325 Pa), is shown in Fig. 5. Tab. 1. Conversion formulas used to determine the torque characteristics of the engine under consideration for any ambient state parameters [13] (indexes: R reduced, M measured, 0 - ambient) Parameter Conversion formula Power Torque P M = P R M M = M R Speed n M = n R T 0 Mass Flow Rate m M = m R Temperature T M = T R T 0 Pressure (air, exhaust gas) Hourly Fuel Consumption Fuel Pressure p M = p R 101325 B hm = B hr p fuelm = p fuelr T 0 ( 101325 ) 2 Fig. 5. The impact of changes in ambient temperature on torque characteristics of the studied engine, while maintaining the standard pressure 1 atm (101 325 Pa) 1018
On the basis of the courses of the relationship curves shown in Fig. 5 a conclusion may be drawn that lowering the temperature causes the torque characteristics of the studied engine to move to the left, towards lower speeds of both the gas generator, and the power turbine. It is also visible that changes in ambient temperature exert the greatest influence on the torque characteristics change when the engine load is close to nominal. If the temperature rises there is a reverse situation, the torque characteristics moves to the right, towards the higher speed of both gas generator as well as the power turbine. The above analysis confirms the fact that the performance of turbine engines is better at lower temperatures. The impact of changes in ambient pressure on torque characteristics of the studied engine, while maintaining the standard temperature K, is shown in Fig. 6. Fig. 6. The impact of changes in ambient pressure on torque characteristics of the studied engine, while maintaining the standard temperature K On the basis of the courses of the relationship curves shown in Fig. 6 a conclusion may be drawn that lowering the ambient pressure causes a slight shift to the left of the torque characteristics of the studied engine towards lower speeds of both the gas generator and the power turbine. It is also visible that changes in pressure sensitive loads are close to nominal. In the case of an increase in ambient pressure, the opposite situation occurs. 4. Conclusions On the basis of the results of conducted studies, the following conclusions can be drawn: There is a possibility of describing the changes in the studied characteristics by means of a credible mathematical model for different conditions of cooperation between the turbine engine and the receiver in the form of the controllable pitch propeller. The relation of approximation drawn up allows, in an indirect way, to determine the useful torque of the power turbine on the basis of the parameters characterizing an energy state of the gas generator of the turbine engine under consideration, for any ambient state parameters. The relation drawn up allows for approximating the useful torque, with the accuracy sufficing its engineering applications. The achieved computational abilities and experience can be used in the operation of naval gas turbines, in particular in the construction of the systems for controlling the engine, according to the torque and the protecting systems preventing the engine overload. 1019
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