Malampuzha Hydel Plant Project Report’ 08- 09 Dept. of Mechanical Engg Page 1 Govt. Engg. College, Thrissur 1. ITRODUCTIO Hydro power is the largest renewable energy resource being used for the generation of electricity. In India, hydro power projects with a station capacity of up to 25 megawatt (MW) each fall under the category of small hydro power (SHP). India has an estimated SHP potential of about 15 000 MW, of which about 11% has been tapped so far. Here we take up an analysis of the technical inefficiency, time and cost overruns in the Malampuzha mini Hydel power project. This is of very significance in the present context of arguments by the government in favour of private sector participation in power generating capacity addition, under the pretext of a resources crunch. The government is said to be under a tight constraint of severe funds scarcity and hence incapable of undertaking new projects for power development. However, we will find that this argument is flimsy to the extent that the government is actually over-spending on each of the projects undertaken. Each project involves immense cost overrun, and the machines implemented are of inferior quality. Had the government been able to implement each project efficiently within the normally expected constraints of time and cost, then it could have saved huge resources and hence undertaken a large number of additional projects. The problem is in the inefficiency of management, to forecast the needs and to find the best for the state, coupled with the political economy of corruption. This paper, has the limited objective of bringing into light this aspect.
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Malampuzha Hydel Plant Project Report’ 08- 09
Dept. of Mechanical Engg Page 1 Govt. Engg. College, Thrissur
1. I�TRODUCTIO�
Hydro power is the largest renewable energy resource being used
for the generation of electricity. In India, hydro power projects with a
station capacity of up to 25 megawatt (MW) each fall under the category
of small hydro power (SHP). India has an estimated SHP potential of
about 15 000 MW, of which about 11% has been tapped so far.
Here we take up an analysis of the technical inefficiency, time and
cost overruns in the Malampuzha mini Hydel power project. This is of
very significance in the present context of arguments by the government
in favour of private sector participation in power generating capacity
addition, under the pretext of a resources crunch. The government is said
to be under a tight constraint of severe funds scarcity and hence incapable
of undertaking new projects for power development. However, we will
find that this argument is flimsy to the extent that the government is
actually over-spending on each of the projects undertaken.
Each project involves immense cost overrun, and the machines
implemented are of inferior quality. Had the government been able to
implement each project efficiently within the normally expected
constraints of time and cost, then it could have saved huge resources and
hence undertaken a large number of additional projects. The problem is in
the inefficiency of management, to forecast the needs and to find the best
for the state, coupled with the political economy of corruption. This
paper, has the limited objective of bringing into light this aspect.
Malampuzha Hydel Plant Project Report’ 08- 09
Dept. of Mechanical Engg Page 2 Govt. Engg. College, Thrissur
2. HISTORICAL PERSPECTIVE
Evolution of Modern Turbine from the Water Wheel
The water turbine has a rich and varied history and has been
developed as a result of natural evolutionary process from the
waterwheel. The water turbine was originally used for direct drive of
machinery; its use for the generation of electricity is comparatively
recent. Much of its development occurred in France. England had cheap
and plentiful sources of coal which sparked the industrial revolution in
the eighteenth century, but Nineteenth century France had only water as
its most abundant energy resource. To this day houille blanche ‘ white
coal’ is the term for water power.
Bernard Forest de Belidor, a Hydraulic and Military Engineer
authored (1737-1753) the monumental 4 Volume architecture
Hydraulique, a descriptive compilation of Hydraulic Engineering
information of every sort.
The water Wheel described by Belidor departed from convention
by having a vertical axis of rotation and being enclosed in along
cylindrical chamber in approximately one meter in diameter. Large
quantities of water, supplied from a tapered sluice at a tangent to the
chamber, entered with considerable rotational velocity. This pre-swirl
combined with the weight of water above the wheel was the driving
force. The original tub wheel had an efficiency of only 15%-20%.
Water Turbine development proceeded on several fronts from
1750- 1850. The classical Horizontal-axis waterwheel was improved by
such Engineers as John Smeaton (1724-1792) of England, who used the
first avowed model experiments in this endeavor and also played an
important role in windmill development, and Jean Victor Poncelet (1788-
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Dept. of Mechanical Engg Page 3 Govt. Engg. College, Thrissur
1867) of France. These improvements resulted in waterwheels having
efficiencies in the range of 60% -70 %.
At the same time reaction turbines were being considered by
several workers. The great Swiss Mathematician Leonhard Eular (1707 –
1783) investigated the theory of operation of these devices. A practical
application of the concept was introduced in France in 1807 by Mannoury
de Ectot (1777 – 1822). His machines were, in effect, radial outward-flow
machines. The theoretical analysis of Claude Buridin ( 1790 – 1893), a
French professor of mining engineering who introduced the word
‘turbine’ in engineering terminology, contributed much to our
understanding of shock-free entry and exit with minimum velocity as the
basic requirements for high efficiency
A student of Buridin, Benoit Fourneyon (1802 – 67), put his
teacher’s theory to practical use, which led to the development of high
speed outward flow turbines with efficiencies of the order of 80 percent.
Fourneyron developed some 100 turbines in france and elsewhere in
Europe. Fourneyron turbines, successful as they were, lacked flexibility
and were only efficient over a narrow range of operating conditions. The
modern Francis turbine is the result of this line of development. At the
same time, European engineers addressed the idea of axial flow
machines, today which are represented by propeller turbines of both fixed
pitch and the Kaplan type.
Just as the vertical axis hub wheels of Belidor evolved into
modern reaction turbines of the Francis and Kaplan type, development of
the classical horizontal axis waterwheel reached its peak with the
introduction of impulse turbine. The seeds of development were sown in
1826 when Poncelet described the criteria for an efficient waterwheel.
These ideas were cultivated in the late nineteenth century by a group of
California engineers that included Lester A. Pelton (1829-1908).
Malampuzha Hydel Plant Project Report’ 08- 09
Dept. of Mechanical Engg Page 4 Govt. Engg. College, Thrissur
His name was given to the pelton wheel, which consists of a jet or
jets of water impinging on an array of specially shaped buckets closely
spaced around the periphery of a wheel. Thus, the relatively high speed
reaction turbines trace their roots to the vertical axis tub wheels of
Belidor, where as the pelton wheel can be considered as a direct
development of the more familiar horizontal axis waterwheel.
Malampuzha Hydel Plant Project Report’ 08- 09
Dept. of Mechanical Engg Page 5 Govt. Engg. College, Thrissur
3. MALAMPUZHA HYDEL PROJECT
– A� OVERVIEW
Malampuzha, one of the first projects planned in the State to
generate electricity from water let out from an irrigation dam. The
contract for the design, supply and installation works were awarded to a
private firm which allegedly had no previous experience in such projects.
A mini Hydel project of 2.5 MW with an annual generation of 5.6
MU, this scheme envisages construction of a power station on the
downstream side of the existing irrigation dam (owned by the State
PWD) to utilize the irrigation release. Started in 1987 and expected to be
online by 1989, this mini project is now expected to be commissioned ‘in
the near future’. After 12 years with a time overrun of about 10 years as
in 1999-2000, the capital cost was revised from the original Rs. 295 lakhs
to Rs. 679 lakhs – an increase of about 130 per cent. Now it has reached
an alarming value of 697 lakhs- a total increase of 136 percent!
The civil work was done by the KSEB. Though the company
started the erection work in 1992, it took as many as four years to attempt
at a trial run. However, during the trial run, some defects were noticed in
the butterfly valve. In 1997, another trial run was tried, but again during
the run, a valve disc got broken. In 2004 it was brought into operation but
after working for 200 days it malfunctioned. The shaft of the turbine was
broken, and from that day to present it remains non-functional.
Malampuzha Hydel Plant Project Report’ 08- 09
Dept. of Mechanical Engg Page 6 Govt. Engg. College, Thrissur
4. BASIC DEFI�ITIO�S
4.1 DEFI�ITIO� OF HEAD
4.1.1 Effective Head (�et Head)
The effective head is the net head available to the turbine unit for
power production. This head is the static gross head, the difference
between the level of water in the Forebay/impoundment and the tail water
level at the outlet, less the hydraulic losses of the water passage as shown
in Fig. 1.1. The effective head is used for all power calculations. The
hydraulic losses can vary from essentially zero to amounts so significant
that the energy potential of the site is seriously restricted.
In general a hydraulic loss of one velocity head (V2/2g) or greater
would not be uncommon. The hydraulic losses through the turbine and
draft tube are accounted for in the turbine efficiency.
4.1.2 Gross Head (Hg)
It is the difference in elevation between the water levels of the
forebay and the tailrace.
4.1.3 Maximum Head (Hmax)
It is the gross head resulting from the difference in elevation
between the maximum forebay level without surcharge and the tailrace
level without spillway discharge, and with one unit operating at speed no-
load (turbine discharge of approximately 5% of rated flow). Under this
condition, hydraulic losses are negligible and nay be disregarded.
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Dept. of Mechanical Engg Page 7 Govt. Engg. College, Thrissur
4.1.4 Minimum Head (Hmin)
It is the net head resulting from the difference in elevation between
the minimum forebay level and the tailrace level minus losses with all
turbines operating at full gate.
4.1.5 Design Head (Hd)
It is the net head at which peak efficiency is desired. This head
should preferably approximate the weighted average head, but must be so
selected that the maximum and minimum heads are not beyond the
permissible operating range of the turbine. This is the head which
determines the basic dimensions of the turbine and therefore of the power
plant.
4.1.6 Rated head (Hr)
It is the net head at which the full-gate output of the turbine
produce the generator rated output in kilowatts. The turbine nameplate
rating usually is given at this head. Selection of this head requires
foresight and deliberation.
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Dept. of Mechanical Engg Page 9 Govt. Engg. College, Thrissur
4.2 CLASSIFICATIO� A�D TYPES OF TURBI�ES
Turbines can be either reaction or impulse types. The turbines type
indicates the manner in which the water causes the turbine runner to
rotate. Reaction turbine operates with their runners fully flooded and
develops torque because of the reaction of water pressure against runner
blades. Impulse turbines operate with their runner in air and convert the
water’s pressure energy into kinetic energy of a jet that impinges onto the
runner buckets to develop torque.
Reaction turbines are classified as Francis (mixed flow) or axial
flow. Axial flow turbines are available with both fixed blades (Propeller)
and variable pitch blades (Kaplan). Both axial flow (Propeller & Kaplan)
and Francis turbines may be mounted either horizontally or vertically.
Additionally, Propeller turbines may be slant mounted. Out of this we are
interested in Axial flow (Kaplan& Tubular) turbines only.
4.2.1 AXIAL FLOW TURBI�ES
Axial flow turbines are those in which flow through the runner is
aligned with the axis of rotation. Axial flow hydraulic turbines have been
used for net heads up to 40 meters with power output up to 25 MW.
However, they are generally used in head applications below 35 meters
Tubular turbine (S-type). S-turbines are used below 30 meters head and 8
MW capacity. Specific mechanical designs, civil construction, and
economic factors must be given full consideration when selecting among
these three axial flow turbine arrangements.
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Dept. of Mechanical Engg Page 10 Govt. Engg. College, Thrissur
Propeller Turbines -
A propeller turbine is one having a runner with four, five or six
blades in which the water passes through the runner in an axial direction
with respect to the shaft. The pitch of the blades will be fixed. Principal
components consist of a water supply case, wicket gates, a runner and a
draft tube.
The efficiency curve of a typical fixed blade Propeller turbine
forms a sharp peak, more abrupt than a Francis turbine curve. Propeller
turbines may be operated at power outputs with flow from 40-105% of
the rated flow. Discharge rates above 105% may be obtained; however,
the higher rates are generally above the turbine and generator
manufacturers’ guarantees.
Kaplan Turbines (Vertical)
A Kaplan Turbine is one having a varying blade pitch. For these
units the peak efficiency occurs at different outputs depending on the
blade setting. An envelope of the efficiency curves cover the range of
blade pitch settings forms the variable pitch efficiency curve. This
efficiency curve is broad and flat. . The conventional propeller or Kaplan
(variable pitch blade) turbines are mounted with a vertical shaft.
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Dept. of Mechanical Engg Page 11 Govt. Engg. College, Thrissur
Fig. 2: Kaplan turbine (vertical)
The vertical units are equipped with a wicket gate assembly to
permit placing the unit on line at synchronous speed, to regulate speed
and load, and to shutdown the unit. The wicket gate mechanism units are
actuated by hydraulic servomotors. Small units may be actuated by
electric motor gate operators. Variable pitch units are equipped with a
cam mechanism to coordinate the pitch of the blade with gate position
and head. Digital control envisages Control of wicket gates and blade
angle by independent servomotors coordinated by digital control.
Fixed blade units are less costly than variable pitch blade turbines;
however, the power operating ranges are more limited. Four blade
Malampuzha Hydel Plant Project Report’ 08- 09
Dept. of Mechanical Engg Page 12 Govt. Engg. College, Thrissur
designs may be used up to 12 meters of head, five blade designs to 20
meters and six blade designs to 35 meters. In general, peak efficiencies
are approximately the same as for Francis turbines.
Many units are in satisfactorily operation from 60 to 140% of
design head. Efficiency loss at higher heads drops 2 to 5% points below
peak efficiency at the design head and as much as 15% points at lower
heads. Variable pitch propeller turbines without wicket gates are called
Semi Kaplan turbine.
Kaplan Features
• Simple designs for ease of erection and simple foundation details
• Low cost solutions for exploiting low head potential
• Water lubricated shaft bearing system
• Entire range of Kaplan runners available in three, four, five & six
blades
• Simplified interface with powerhouse structure to reduce overall
civil costs
Tubular turbines
Tubular or tube turbines are horizontal or slant mounted units with
propeller runners. The generators are located outside of the water
passageway. Tube turbines are available equipped with fixed or variable
pitch runners and with or without wicket gate assemblies. Performance
characteristics of a tube turbine are similar to the performance
characteristics discussed for propeller turbines. The efficiency of a tube
turbine will be one to two % higher than for a vertical propeller turbine of
the same size since the water passageway has less change in direction.
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Dept. of Mechanical Engg Page 13 Govt. Engg. College, Thrissur
Fig 3: Tubular turbines (Horizontal Kaplan)
The performance range of the tube turbine with variable pitch blade
and without wicket gates is greater than for a fixed blade propeller turbine
but less than for a Kaplan turbine. The water flow through the turbine is
controlled by changing the pitch of the runner blades.
When it is not required to regulate turbine discharge and power
output, a fixed blade runner (propeller) may be used. This results in a
lower cost of both the turbine and governor system.. Several items of
auxiliary equipments are often necessary for the operation of tube
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Dept. of Mechanical Engg Page 14 Govt. Engg. College, Thrissur
turbines. All tube turbines without wicket gates should be equipped with
a shut off valve automatically operated to provide shut-off and start-up
functions.
Tube turbines can be connected either directly to the generator or
through a speed increaser. The speed increaser would allow the use of a
higher speed generator, typically 750 or 1000 r/min, instead of a
generator operating at turbine speed. The choice to utilize a speed
increaser is an economic decision. Speed increasers lower the overall
plant efficiency by about 1% for a single gear increaser and about 2% for
double gear increaser. (The manufacturer can supply exact data regarding
the efficiency of speed increasers). This loss of efficiency and the cost of
the speed increaser must be compared to the reduction in cost for the
smaller generator. It is recommended that speed increaser option should
not be used for unit sizes above 5 MW capacity.
The required civil features are different for horizontal units than for
vertical units. Horizontally mounted tube turbines require more floor area
than vertically mounted units. The area required may be lessened by slant
mounting, however, additional turbine costs are incurred as a large axial
thrust bearing is required. Excavation and powerhouse height for a
horizontal unit is less than that required for a vertical unit.
Standard Tube turbines of Bharat Heavy Electrical based on
runner diameter is shown in Figure 2.
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Dept. of Mechanical Engg Page 15 Govt. Engg. College, Thrissur
Fig. 4: Tubular Turbine
�omenclature
1. Runner
2. Main inlet valve
3. valve servomotor
4. stay valve
5. Runner chamber
6. Turbine bearings
7. Shaft seal
8. Draft tube
9. gear box
10. Generator
11. Generator bearing
12. Runner bearing
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Dept. of Mechanical Engg Page 16 Govt. Engg. College, Thrissur
4.3 SPECIFIC SPEED (�s)
The term specific speed used in classifying types of turbines and
characteristics of turbines within types is generally the basis of selection
procedure. This term is specified as the speed in revolutions per minute at
which the given turbine would rotate, if reduced homologically in size, so
that it would develop one metric horse power at full gate opening under
one meter head. Low specific speeds are associated with high heads and
high specific speeds are associated with low heads. Moreover, there is a
wide range of specific speeds which may be suitable for a given head.
Selection of a high specific speed for a given head will result in a
smaller turbine and generator, with savings in capital cost. However, the
reaction turbine will have to be placed lower, for which the cost may
offset the savings. The values of electrical energy, plant factor, interest
rate, and period of analysis enter into the selection of an economic
specific speed.
Commonly used mathematically expression in India for specific speed
is power based (English System) is as follows:
�s = � √Pr ÷ (Hr) 5/4
Where N = revolutions per Minute
Pr = power in metric horse power at full gate opening – (1 kW =
0.86 metric hp)
Hr =rated head in m.
The specific speed value defines the approximate head range
application for each turbine type and size. Low head units tend to have a
high specific speed, and high-head units to have a low specific speed.
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Dept. of Mechanical Engg Page 17 Govt. Engg. College, Thrissur
Flow based metric system for specific speed (Nq) used in Europe is given
by equitation below.
�q = �Q0.5÷H0.75
Where Nq = Specific Speed
N = Speed in rpm
Q = Flow in cubic meters/second
H = Net Head in meters
Specific speed (metric HP units) range of different types of turbines is as
follows:
Table 1: The range of specific speed for various turbines.
TURBI�ES SPECIFIC SPEED
Fixed blade propeller turbines 300 – 1000
Adjustable blade Kaplan turbines 300 – 1000
Francis turbines 65 - 445
Pelton Turbine 16-20 per jet*
Cross flow turbine 12-80 per jet*
* For multiple jets the power is proportionally increased
The basic graph between Specific speed Vs Head is given below
(Fig. 5)
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Dept. of Mechanical Engg Page 19 Govt. Engg. College, Thrissur
4.4 EFFICIE�CIES OF A TURBI�E (η)
The different types of efficiencies are
1. Hydraulic efficiency
2. Mechanical efficiency
3. Volumetric efficiency
4. Overall efficiency
4.4.1 Hydraulic efficiency ηh:
It is defined as the ratio of power given by water to the runner of a
turbine to the power supplied by the water at the inlet of the turbine. Thus
mathematically
ηh = Power delivered to the runner = R.P Power supplied at inlet W.P
Where R.P = runner power
W.P = water power
4.4.2 Mechanical efficiency – ηm
The power delivered by water is transmitted to the shaft of the
turbine. But due to the mechanical losses cent percent power won’t be
delivered at the shaft. The ratio of power available at the shaft to that
delivered to the runner is defined as the mechanical efficiency of the
turbine. Mathematically,
ηm = Power at the shaft of the turbine = S.P
Power delivered by turbine R.P
Where S.P= Shaft power
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4.4.3 Volumetric efficiency – ηv
The volume of water striking the runner of a turbine is slightly less
than the volume of the water supplied to the turbine. Some volume of the
water is discharged to the tail race without striking the runner of the
turbine. Thus the ratio of the volume of the water actually striking the
runner to the volume of water supplied to the turbine is defined as the
volumetric efficiency.
Ηv = Volume of water actually striking the runner Volume of water supplied to the turbine
4.4.4 Overall efficiency – ηo
It is defined as the ratio of power available at the shaft of the
turbine to the power supplied by the water at the inlet of the turbine. It is
written as:
ηo = Volume available at the shaft of the turbine = S.P Power supplied at the inlet of the turbine W.P
S.P × R.P = ηh× ηm R.P × W.P
ηo= ηh× ηm
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Dept. of Mechanical Engg Page 21 Govt. Engg. College, Thrissur
4.5 U�IT QUA�TITIES
In order to predict the behavior of a turbine working under varying
conditions of head, speed, output, and gate opening, the results are
obtained in terms of quantities which may be obtained when the head on
the turbine is reduced to unity. The conditions of the turbine under unit
head are such that the efficiency of the turbine remains unaffected. The
followings are the three important unit quantities which must be studied
under unit head:
i) unit speed
ii) unit power
iii) unit discharge
4.5.1 Unit Speed
The unit speed is defined as the speed of the turbine working under
a unit head (i.e. under a head of 1m). It is denoted by Nu
�u = � √H
Where N = Speed of a turbine under a head H
4.5.2 Unit Discharge
It is defined as the discharge of the turbine, which is working under
unit head (i.e. under a head of 1m). It is denoted by Qu. the expression for
unit discharge is given as
Qu = Q
√H
Where Q = Discharge through the turbine under a
head H
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4.5.3 Unit Power
It is defined as the discharge of the turbine, which is working under
unit head (i.e. under a head of 1m). It is denoted by Pu. the expression for
unit discharge is given as
Pu = P H3/2
Where P = Power developed by a turbine under a head H
Use of unit quantities (�u, Qu, Pu)
If a turbine is working under different head the behavior of the
turbine can be easily known from the values of the unit quantities.
Let H1, H2 ,H3, H4, H5…be the different heads under which turbine
works
Then, �u = �1 = �2
√H √H
Qu = Q1 = Q2
√H √H
Pu = P1 = P2 H3/2 H3/2
Thus if the rated speed, rated discharge, rated head, rated power are
known then we can find out the unit quantities and there by find the
speed, discharge and power for different heads.
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4.6 CAVITATIO� I� TURBI�ES
When the pressure in any part of the flow passage reaches
the vapour pressure of the flowing liquid, it starts vaporizing and small
bubbles of vapour form in large numbers. These bubbles (or vapour-filled
pockets or cavities) are carried along by the flow, and on reaching the
high pressure zones these bubbles suddenly collapse as the vapour
condenses to liquid again. Due to sudden collapsing of bubbles or cavities
the surrounding liquid rushes into fill them. The liquid moving from all
directions collides at the center of the cavity, thus giving rise to very high
local pressure, which may be as high as 686.7MN ̸ m2. Any solid surface
in the vicinity is also subjected to these intense pressures. The alternate
formation and collapse of vapour bubbles may cause severe damage to
the surface which ultimately fails by fatigue and the surface becomes
badly scored and pitted. This phenomenon is known as cavitation which
is found to occur in turbines as well as in various hydraulic structures
such as penstocks, gates, valves, spillways etc.
In reaction turbines the cavitation may occur at the runner
exit or the inlet to the draft tube where the pressure is considerably
reduced. Due to cavitation the metal of the runner vanes and the draft
tube is gradually eaten away in these zones, which results in lowering
the efficiency of the turbine. As such the turbine components should be
so designed that as far as possible cavitation is eliminated. In order to
determine whether cavitation will occur in any portion of the turbine,
D.Thoma of Germany has developed a dimensionless parameter called
Thoma’s cavitation factor σ which is expressed as
σ = ( Ha- Hv – Hs ) ̸ H 4.6.1
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Where H is atmospheric pressure head; H is vapour pressure head; H is
suction pressure head (or height of runner outlet above tail race); and H is
working head of the turbine. Complete similarity in respect of can be
ensured if the value of σ is same in both the model and prototype.
Moreover it has reduced up to a certain value up to which its efficiency
n0 remains constant. A further decrease in the value of σ results in a
sharp fall in ηo. The value of σ at this turning point is called the critical
cavitation factor σc. The value for σc for different turbines may be
determined with the help of following empirical relationships:
For Francis Turbines
σc = 0.625 { Ns /380.78}2
For Propeller turbines
σ c = 0.28+{ (1/7.5) { Ns /380.78}3 } 4.6.2
For Kaplan turbines, values of σc obtained in the above equation
should be increased by 10%.
In the above expression Ns is in (r.p.m, kW, m) units. However if
Ns is in (r.p.m, h.p, m) units, the expression for σc would be as follows:
For Francis turbines
σc = 0.625 { Ns /444}2
For Propeller turbines
σ c = 0.28+{ (1/7.5) { Ns /444}3 }
Again for Kaplan turbines, value for σc obtained by the above
equation should be increased by 10%
4.6.1 Suction Specific Speed.
In addition to Thoma’s criterion the consideration of suction
specific speed provides another very useful criterion for establishing
similarity in respect of cavitation in the turbines. The suction specific
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speed S may be defined as the speed of a geometrically similar turbine
such that when it is developing a power equal to 1 kilowatt (or in metric
units equal to 1 metric horse power ) the total suction head Hsv is equal to
1m (in absolute units). According to this definition the expression for
suction specific speed may be obtained by replacing H, given in the
equation for the specific speed, by total suction head Hsv. Thus
S = (N√P) ⁄ Hsv5/4 4.6.3
By having the same value of suction specific speed for the model
and the prototype turbines the similarity in respect of cavitation can be
established
The total suction head Hsv can be expressed as
Hsv = Ha− Hv –Hs 4.6.4
And hence from the equation 4.6.1
Hsv = σH 4.6.5
By substituting the value of Hsv in the equation 4.6.3, we get
S = (N√P) ⁄ (σ H)5/4 Or
σ = (Ns ⁄ S)4/5 4.6.6
Equation 4.6.6 represents the relation between the two parameters σ and
S, both of which are useful for establishing a similarity in respect of
cavitation in the model and prototype turbines. However, the concept of
suction specific speed is more commonly used in case of pumps.
Cavitation protection is an important criterion in Kaplan turbine
blade design. In Kaplan turbines cavitation occurs at a number of
Malampuzha Hydel Plant Project Report’ 08- 09
Dept. of Mechanical Engg Page 26 Govt. Engg. College, Thrissur
different locations, notably at the blade leading edge, on the blade suction
side, in both tip and hub gaps and on the discharge ring. Cavitation can
result in frosting or pitting in the above-mentioned locations. Its severity
depends on design and operating regime of the machine. Cavitation itself
is primarily a local effect.
The discharge ring cavitation often occurs in a number of discrete
circumferential patches corresponding to the number of guide vanes. At
first sight this is surprising, because we assume that the low pressure
zones caused by the rotating blades are responsible for the cavitation.
Therefore any effect would be expected to occur at the entire
circumference of the discharge ring. Since that is not the case, we can
conclude that unsteady flow behavior driven by the rotor-stator
interaction of the guide vanes and blades have to be responsible for the
effect. Due to the various physical effects involved, unsteady two-phase
flow with highly locally refined meshes is required for the numerical
simulation of the Kaplan turbine cavitation phenomena
4.7 HYDRO-TURBI�E GOVER�I�G SYSTEM
Governor control system for Hydro Turbines is basically a feed
back control system which senses the speed and power of the generating
unit or the water level of the forebay of the hydroelectric installation etc.
and takes control action for operating the discharge/load controlling
devices in accordance with the deviation of actual set point from the
reference point. Governor control systems of all units suitable for isolated
operation are a feed back control system that controls the speed and
power output of the hydroelectric turbine. Water level controllers can be
used for grid connected units. Governing system comprises of following
sections.
Malampuzha Hydel Plant Project Report’ 08- 09
Dept. of Mechanical Engg Page 27 Govt. Engg. College, Thrissur
a) Control section
b) Mechanical hydraulic Actuation section
The control section may be mechanical; analogue electronic or
digital. Actuator can be hydraulic controlled, mechanical (motor) or load
actuator. Load actuator are used in micro Hydel range; mechanical (motor
operated) may be used say up to 1000 kW unit size. Hydro actuators are