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    TURBINE AND AUXILIARIES STEAM TURBINE THEORY

    CHAPTER 12

    STEAM TURBINE THEORY

    12.1 INTRODUCTION

    The steam turbine is most versatile prime mover, which is capable of almost endless

    applications. A machine, which originates mechanical motion by using some natural

    force, is called prime mover. Steam turbine is a practical power source and is built in as

    small size as 5 KW to as large as 1300 MW. It is relatively quiet and smooth in

    operation. Its compactness is unexpelled in the high capacity region and operates on

    relative speed, which permits direct connection to the alternator.

    The steam turbine offers many advantages over other prime movers, both

    thermodynamically and mechanically. From a thermodynamic point of view, the main

    advantage of the steam turbine over, say, a reciprocating steam engine, is that in the

    turbine the steam can be expanded down to a lower back-pressure, thereby making

    available a greater heat drop. In addition, the internal efficiency of the turbine is high, so

    it is able to convert a high proportion of this relatively large heat drop into mechanical

    work.

    From a mechanical point of view, the turbine is ideal, because the propelling force is

    applied directly to the rotating elements of the machine and has not, as in the

    reciprocating engine, to be transmitted through a system of connecting links, which are

    necessary to transform a reciprocating motion into a rotary motion. Hence, since the

    steam turbine possesses rotary motion only, if the manufacture is good and the machine is

    correctly designed, it ought to be free from out-of-balance forces.

    If the load on a turbine is kept constant, the torque developed at the coupling remains

    constant. A generator at a steady load offers a constant resisting torque. Therefore, a

    turbine is suitable for driving a generator, particularly as they are both high-speed

    machines.

    A further advantage of the turbine is that the exhaust steam is not contaminated with oil

    vapour and can be condensed and fed back to the boilers without passing through filters.

    It also means that there is considerable saving in lubricating oil when compared with a

    reciprocating steam engine of equal power.

    Yet the steam turbine is not without disadvantages. It is non-reversible. Unlike the IC

    engine, it is not a complete power plant, but must be associated with a steam generator.

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    Steam rates are high unless in condensing operation. The thermal (steam) power plant

    therefore was a duel phase cycle, i.e. vapour and liquid. It is a closed cycle to enable the

    working fluid (water) to be used again and again. The cycle used is "Rankine Cycle"

    modified to include superheating of steam, regenerative feed water heating and reheating

    of steam.

    12.2 ENERGY CONVERSION IN STEAM TURBINE

    A steam turbine basically consists of two elements or sets of elements as shown in Fig.

    1.2. These are

    Fig.1.2 Basic Elements of Turbine

    a) NOZZLE

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    The nozzle, attached to the casing of the turbine. The steam enters the nozzle at a high

    pressure and a relatively low velocity. Due to nozzle action steam velocity increases at

    the cost of pressure and temperature.

    b) CURVED BLADES

    The blades are attached to the turbine rotor. The rapidly moving particles of steam

    issuing from the nozzle enter the blades. As the blades are curved (Fig. 1.3), the

    direction of motion of these particles of steam is changed. This causes the change of

    momentum of passing steam due to

    which resultant force in the tangential to the rotor periphery is set-up. The summation of

    this force acting on all the blades constitutes the driving force of the turbine.

    Finally when the steam comes out of the blades, the pressure and temperature of the

    steam are reduced, i.e. the drop of the enthalpy at the exhaust of the turbine due to

    expansion of steam. The processes of expansion and direction changing may occur once

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    nozzle exit velocity of the steam is high. For maximum blade efficiency, the blade

    velocity should be slightly less than one half the steam velocity, so in this type of turbine

    the blade velocity is very high. As the rotor diameter is kept fairly small, the rotational

    speed is also very high, being of the order of 30,000 rpm. With speeds of this order it is

    often necessary to reduce the speed of the driven machine by gear-box, thus increasing

    the cost and complexity of an installation and reducing its overall efficiency. It can be

    seen from Fig. 1.4 that the velocity of the steam leaving the moving blades is large which

    represents the loss of Kinetic energy and is called the "Carry-over loss" or "Leaving

    Loss" which may be approximately 11% of initial Kinetic energy of the steam.

    An example of the simple impulse turbine is the De Laval turbine used for relatively low

    power application. Rotor of simple (Single stage) impulse turbine is shown in Fig. 1.5.

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    12.4.2 The Pressure-Compounded Impulse Turbine

    The turbine, shown in Fig. 1.6, is basically a number of impulse turbines connected in

    series on the same shaft, the exhaust steam from one stage entering the nozzles of the

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    succeeding stage. In this way the whole of the pressure drop (heat drop) available, i.e.

    from steam chest to condenser, is split-up into a number of smaller pressure drops.

    Hence stage consists of set of nozzles and blades. As the heat drop in each stage is a

    fraction of the heat drops in a simple impulse turbine working between the same limits of

    pressure and temperature, the increase in Kinetic energy in each stage will be much

    lower, i.e. the velocity of the steam issuing from the nozzles will be much lower.

    Therefore, the blade velocities and rotational speed can be lowered. This means the

    greater the number of stages, the lower the speeds.

    The leaving loss in the last stage as compared to simple impulse turbine is

    proportionately less, still it is appreciable.

    In a pressure-compounded impulse turbine the nozzles are usually fitted into partitions,

    called "diaphragms", which separate one wheel chamber from the next. The wheels are

    mounted individually on the shaft and carry the blades on their periphery. As expansion

    of the steam takes place wholly in the nozzles, the space between any two diaphragms is

    filled with steam at a constant pressure, but the pressure on either side of any diaphragm

    are different. The greatest difference occurs in the first few stages. Hence, steam will

    tend to leak through the space between the bore of the diaphragm and the surface of the

    shaft. Fitting of labyrinth glands usually minimizes such leakage. A.C.E. Rateau first

    designed this type of turbine.

    12.4.3 The Velocity-Compounded Impulse Turbine

    It is similar to the simple impulse turbine in that there is only one set of nozzles. The

    wheel, however, instead of being fitted with a single row of blades, is fitted with two or

    more rows, between which are arranged rows of stationary guide blades. Fig. 1.7 shows

    a three-row wheel. Steam enters the nozzles at the steam chest pressure and issues from

    the nozzles at condenser pressure and as in the simple impulse turbine, at very high

    velocity. The provision of two or more rows of moving blades, however, enables the

    blade velocity for maximum efficiency to be made appreciably less than that necessary

    for maximum efficiency in its simple impulse turbine. On passing through the first row

    of moving blades the steam gives up only a part of its Kinetic energy and issues from this

    row of blades with fairly high velocity. It then enters the first of the two rows of guide

    blades and is redirected by them into the second row of moving blades. There is a slight

    drop in velocity in the fixed guide blades due to friction. In passing through the second

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    row of moving blades, the steam gives up another portion of its Kinetic energy to the

    rotor. It is redirected in the second row of guide blades, does work on the third row of

    moving blades, and finally leaves the wheel in a more or less axial direction with a

    certain residual velocity. This velocity is comparatively small and therefore the leaving

    loss is small, being about two percent of the initial available energy of the steam.Fig.1.7

    (a) shows two-stage vel.comp.impulse turbine.

    12.4.4 The Pressure-Velocity Compounded Impulse Turbine

    In the same way that a number of simple impulse turbines in series on the same shaft can

    be combined to form a pressure-compounded impulse turbine, so a number of simple

    velocity - compounded impulse turbine as shown in Fig. 1.8. The only difference in

    principle between the two types is that in the pressure-compounded type a stage consists

    of a set of nozzles and a single row wheel, whereas in the pressure-velocity-compounded

    type a stage consists of set of nozzles and a single row wheel, whereas in the pressure-

    velocity compounded type a stage consists of a set of nozzles and a wheel with two or

    more rows of blades.

    As in other type of impulse turbines, the steam is expanded wholly in the nozzles and the

    wheels rotate in steam at constant pressure. The total pressure drop from steam chest to

    condenser being split-up into as many steps as the number of wheels on the shaft. This

    type of turbine is comparatively simple in construction and is much more compact than

    the multi-stage pressure-compounded impulse turbine since the pressure drop is greater

    per stage and consequently fewer stages are necessary. Unfortunately its efficiency is not

    high. At one time it was widely used in power stations but is now an obsolete type.

    Many impulse turbines, however, incorporate a two-row velocity wheel for the first stage

    in the high pressure cylinder. An American engineer, C.G. Curtis, first introduced this

    turbine.

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    Fig.1.6 Pressure Compounded Impulse Turbine

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    Fig.1.8 Velocity &Pressure Compounded impulse Turbine

    12.5 IMPLUSE-REACTION TURBINEImpulse-reaction (commonly called as "Reaction Turbine") turbines works on the

    principle that the steam pressure is reduced in both fixed and moving blades unlike in

    impulse turbine in which pressure was reduced only in nozzles. While the steam is

    passing through the moving blades, work is still being done by the impulse effect due to

    the reversal of direction of the high velocity steam, but the fixed and moving blades are

    so designed that the steam expands as it passes through both thus giving, in addition, a

    reaction effect due to the expansion of steam through the moving blades.

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    Since in the reaction type machine a pressure drop also occurs across the moving blades

    it is necessary to provide effective sealing at the blade tips. This must be done to prevent

    leakage of steam past the shrouding of the wheel and consequent loss in efficiency

    particularly at the high-pressure end of the machine. These turbines may be designed for

    radial flow or axial flow. However, radial flow machines are absolute now a days and all

    modern turbine employ axial flow designs.

    The axial-flow impulse-reaction turbine consists of a number of rows of moving blades

    attached to the rotor and an equal number of rows of fixed blades attached to the casing

    as shown in Fig. 1.9.

    The fixed blades compare to the nozzles used in the impulse turbine. Steam is admitted

    over the whole circumference and in passing through the first row of fixed blades

    undergoes a small drop in pressure and its velocity is increased. It then enters the first

    row of moving blades and as in the impulse turbine, suffers a change in direction and

    hence momentum giving an impulse on the blades. During the steam passage through the

    moving blades it undergoes a further small drop in pressure resulting in increase in

    velocity, which gives rise to a reaction in the direction opposite to that of the added

    velocity. It is in this way that the impulse-reaction turbine differs from the pure impulse

    turbine. Thus the gross propelling force in the impulse-reaction turbine, or the "reaction"

    turbine, is the vector sum of the impulse and the reaction effects.

    Fig. 1.9 shows how the blade heights increase as the specific volume of the steam

    increases with reduction in pressure. It also shows how the pressure falls gradually as the

    steam passes through the groups of blades. There is a pressure drop across each row of

    blades both fixed and moving. This is of considerable practical importance, especially at

    the high-pressure end of the turbine where the pressure drops are greatest, because this

    difference of pressure tends to force some steam through the clearance spaces between

    the moving blades and the casing, similarly between the fixed blades and rotor. These

    clearances have to be carefully controlled by using axial and/or radial seals at the blade

    tips; otherwise the available energy possessed by the steam, which leaked across, would

    be lost. The pressure drop across the moving blades gives rise to a large axial thrust on

    the rotor towards the low pressure end of the turbine, therefore special balance pistons

    have to be fitted to counteract it. Fig. 1.10 shows the axial section of a turbine with

    impulse/reaction stages and balance piston arrangement.

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    The steam velocities in this type of turbine are moderate, the velocity for maximum blade

    efficiency being roughly equal to the blade velocity. The leaving loss is normally about

    the same as for the multi-stage impulse turbine.

    The impulse-reaction turbine was developed by Sir Charles A. Parsons and is widely

    used in power stations.

    Fig.1.9 Axial Flow Reaction Turbine

    12.5.1 Distinction between Impulse & Reaction Designs

    The hard and fast distinction between the impulse and impulse-reaction turbine is

    becoming progressively less important. The general trend of commercial development

    being that the reaction turbine often to adopt a certain percentage of impulse in its design

    and the impulse turbine likewise to adopt a certain percentage of reaction. At the present

    time the two types are therefore characterized more by differences of constructional

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