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PROBLEMS OF LIFETIME ASSESSMENTPROBLEMS OF LIFETIME ASSESSMENT OF WATER-STEAM CIRCUIT ELEMENTSOF WATER-STEAM CIRCUIT ELEMENTS
OF POWER UNITSOF POWER UNITS
I. M. DMYTRAKH and V. V. PANASYUK
Karpenko Physico-Mechanical Institute, National Academy of Sciences of Ukraine,
Lviv, UKRAINE
1st Hungarian - Ukrainian Joint Conference“Safety, Reliability and Risk of Engineering Plants and Components”
Bay Zoltan Institute for Logistics and Production SystemsMiskolc, HUNGARY, 11- 12 April 2006
ABSTRACT
The analysis and synthesis of the modern scientific and engineering approaches for life assessment of the structural elements of basic heat and mechanical equipment for heat power plants are presented. Basic concepts and methods for strength and durability assessment of materials and structural elements are stated grounding on the fracture mechanics approaches. The examples of calculations of residual life of the basic structural elements are given with take into account of the actual data of metal properties and operating conditions of equipment.
CONTENTS
1. GENERAL CHARACTERISATION OF IN-SERVICE DAMAGES AND FAILURES OF BASIC EQUIPMENT OF HEAT POWER PLANTS
2. FRACTURE MECHANICS APPROACHES
3. ENGINEERING APPLICATIONS FOR SERVICEABILITY ASSESSMENTS OF POWER ENGINEERING PIPELINES
1. GENERAL CHARACTERISATION OF IN-SERVICE DAMAGES AND FAILURES OF BASIC EQUIPMENT
OF HEAT POWER PLANTS
1. Water-wall tubes of high-pressure steam boilers
2. Super heater tubes of sub- and supercritical pressure boilers
3. Water economizers
4. Non-heated boiler’s elements
5. Feeding pipelines of supercritical pressure power generating units
1. WATER-WALL TUBES OF HIGH-PRESSURE STEAM BOILERS
2. SUPERHEATER TUBES OF SUB- AND SUPERCRITICAL
PRESSURE BOILERS 3. WATER ECONOMIZERS
5. FEEDING PIPELINES OF SUPERCRITICAL PRESSURE POWER GENERATING UNITS
4. NON-HEATED BOILER’S ELEMENTS
2. FRACTURE MECHANICS APPROACHES
MATERIAL
STRESS STATE
CORROSIONFRACTURE
ENVIRONMENT
Fig. 2.1. Factors that define corrosion fracture
Fig. 2.2. Stages of corrosion fracture
Surface film breakdown Surface film breakdown
Corrosion pits developmentCorrosion pits development
Pit-crack transitionPit-crack transition
Crack growth to critical size Crack growth to critical size
Catastrophic fracture Catastrophic fracture
2.1. ASSESSMENT OF CORROSION PITS DEVELOPMENT
12
34
56
78
910
1520
2528
0,49
1,03
1,2
0,001
0,01
0,1
1
i, mA/cm 2
c, m
, %
STAGE I dc0 τ;σ;iFc appitpit
c
c aa
dc N;σ;iFa eff*pitcrack
effσ
STAGE IІ
SVETEki
Fig. 2.3Fig. 2.4
(2.1)
(2.2)
2. 2. SURFACE FATIGUE CRACK NUCLEATION AS RESULT OF CORROSION DEFORMATION INTERACTIONS
2.2.1. EXPERIMENTAL BACKGROUND
00 100 200 300
0
100
200
300
400
s
12
pH=3,0
I c(
)
12Kh1МF
max
I, n
А
, МPаFig. 2.5 Fig. 2.6
N
III III
(2.3)
2.2.2. EXPERIMENTAL PROCEDURE
4 0 5
50
1 0
12 16
9
4
3
P
1
13 1514
8
76
5
2
11
10
17
Fig. 2. 7. Testing equipment.
a)
b)
c)
102
103
10410
1
102
103
s, M
Pa
N, cycles
I II III
Fig. 2.8. Correlation between parameter s and level of corrosion fatigue
damaging of cyclic deformed surface (08Kh18N12T steel; pH=6.5).
2.2.4. ASSESSMENT OF SURFACE CORROSION FATIGUE CRACK NUCLEATION
s
s
neMM z
Fig. 2.13
(2.4)
2.3. CORROSION FATIGUE CRACK GROWTH
2.3.1. MODEL OF THE CORROSION CRACK
)S(B);τ(A);σ(P;CΦdNda mnji(2.5)
Where da/dN - corrosion fatigue crack growth rate; Pj() - parameters, that characterise stress-strain
state of materials and are function of the external applied load ; An() - parameters, that determine in
time physicochemical processes that occur between deformed material and environment; Bm(S) -
parameters, that characterise the material surface state S which is created during fracture processes; Ci
are constants that characterise given system “material - environment”; i, j, m, n = 1, 2, 3…
.E;pH;K;CΦdNda ttIi0 (2.6)
Fig. 2.9. Model presentation of a material prefracture zone at corrosion crack
Where pH t and Et - hydrogen
exponent of environment and electrode potential in the crack tip; KI - stress
intensity factor.
P
P
s
s
E
pH
s
s
E
pHtpH
tE
IK
2.3.2. EXPERIMENTAL METHODOLOGY
1
2
34
5
6
initial cracknotch
L
a w
d
t
60.
ha
Fig. 2. 10. Technique for electrochemical measurements in corrosion crack: a) - Scheme of the minielectrodes installation: 1- specimen; 2- crack; 3- crack propagation front; 4- crack propagation plane; 5- mini electrodes; 6 – driver. b) - Specimen geometry. c) - Minielectrodes: 1 – teflon tube; 2-antimony indicator; 3-ions conductor; 4-isolator
d<0.3mmd<0.3mm d<0.3mm
D=1.0mm D=1.0mm D=1.0mm
a b c
1 1 1
2
3
4 4 4
d<0.3mmd<0.3mm d<0.3mm
D=1.0mm D=1.0mm D=1.0mm
a b c
1 1 1
2
3
4 4 4
a)
c)
b)
Fig. 2.11. General view (a) and principal scheme of testing system (b): 1- specimen; 2- corrosion cell; 3- heater; 4-temperature gauge; 5- temperature control unit; 6- load mechanism; 7- load registration; 8-minielectrodes; 9- mini electrodes motion mechanism; 10- step motor; 11-operating unit; 12- registration unit; 13-PC; 14-keyboard; 15- monitor; 16- printer.
F
pH
E
PC
14
13
11
15
1612
105
7
1
2
3
4
6
9
8
a) b)
2.3.3. ELECTROCHEMICAL CONDITIONS IN THE CORROSION CRACKS
axmexpax1pHxpH 1n
01
axmexpax1ExE 2n
02
Fig. 2.12. Dependencies of pH(x) and E(x).
Fig. 2.13. Distribution of pH values in the corrosion crack cavity for cracks of different length (40Kh13steel - reactor water of boron regulation; pH=8.0).
x0
pHt
Et
pH(x)
E(x)
0 < x < a
pHts
E ts
pH0E 0
a
x0
pHt
Et
pH(x)
E(x)
0 < x < a
pHts
E ts
pH0E 0
a
x0
pHt
Et
pH(x)
E(x)
0 < x < a
pHts
E ts
pH0E 0
a
x0
pHt
Et
pH(x)
E(x)
0 < x < a
pHts
E ts
pH0E 0
a0 0.2 0.60.4 0.8 x / a
1
2
3
4
5
6
7
pH(x)
8 - a = 3.40mm
-a = 5.80mm
-a= 13.8mm
(2.7)
(2.8)
2.3.4. METHOD FOR FORECASTING OF THE THRESHOLD STRESS INTENSITY FACTOR UNDER STRESS CORROSION CRACKING
AND CORROSION FATIGUE
Sm
1
0bSt
StSISCC TTpHbaEAK
Cm
1
0bCt
CtCth NNpHbaEωAKΔ
Where A and m are the constants “material-environment” system; a and b are a thermodynamic constants, that define an electrochemical conditions of electrolytic hydrogen forming from corrosion environment; is a frequency of cyclic loading; T0 and N0 are respectively time and number of
cycles loading, that correspond to the beginning of hydrogen formation in the crack tip; Tb and Nb are the base of tests in hours and in cycles of loading,
respectively. Subscripts s and c specify static or cyclic loading conditions, respectively.
(2.9)
(2.10)
Fig. 2.14. Comparison the cyclic crack growth resistance diagrams for pressure vessels metal those have been built according to ASME data (curves 1 and 2) and Bamford’s data (curves 3 and 4) and also on the base of proposed method (curve 5). Note that different curves represent different test conditions: 1 - dry air; 2 - humid air; 3 - corrosive environment, load ratio R<0.5; 4 - corrosive environment, load ratio R>0.5; 5 - corrosive environment, load ratio R=0.7.
2.3.5. METHOD FOR DETERMINING OF BASIC CHARACTERISTICS OF CORROSION CRACK GROWTH RESISTANCE
110100
1
2
3
4
5
1
2
3
4
5
310
410
510
210
mMPa,KΔI
da/dN,mm/cycle
da/dN,mm/cycle
da/dN,mm/cycle
da/dN,mm/cycle
110100
1
2
3
4
5
1
2
3
4
5
310
410
510
210
mMPa,KΔI
da/dN,mm/cycle
da/dN,mm/cycle
da/dN,mm/cycle
da/dN,mm/cycle
.constE.;constpH tt (2.11)
3. ENGINEERING APPLICATIONS FOR SERVICEABILITY ASSESSMENTS OF POWER ENGINEERING PIPELINES
Fig 3.1. Typical distribution and view of crack-like defects in the pipeline wall.
d
S
3.1. SUBJECT OF STUDIES
D =219
S=42
50
50
50
a)
b)
c)
a) b)
Fig 3.2. Element of pipe (a) and schematic cutting plan (b).
3.2. DETERMINING OF PERIOD FOR SURFACE CORROSION FATIGUE CRACK NUCLEATION
(3.1)
pH12Kh1MF steel 08Kh18N12T steel
а, mm а, mm
1 5 10 1 5 10
рН=3,0 32565 45285 52272 217541 255481 274469
рН=6,5 49777 69925 81093 134573 160021 173304
рН=9,0 34464 46270 54051 184605 213375 227405
Table 3.1
104
105
104
105
08Kh18N12Т 55443
32
32
45
21
11
1 а=1 mm2 а=2 mm3 а=5 mm4 а=10 mm5 а=20 mm
Nex, cycles
Nca
l, cy
cles pH3,0
pH6,5 pH9,0
105
106
105
106
12Kh1МF
1 а=1 mm2 а=2 mm3 а=5 mm4 а=10 mm5 а=20 mm
5432
34
54
2
3
5
21
1
1
Nex, cycles
Nca
l, cy
cles pH3,0
pH6,5 pH9,0
Fig. 3.3. Experimental and predicted according to formula (7.1) values of number cycles of loading N for corrosion fatigue surface crack of different length.
3.3. ASSESSMENT OF ADMISSIBLE CORROSION FATIGUE CRACK DEPTH
The assessment of admissible crack depth in pipelines walls has been done on the base of corrosion fatigue crack growth rate, i.e:
(3.2)
where is the maximum crack growth rate that may be admitted in the wall of pipelines during planned time of exploitation
dNdl
Table 3.2. Operating aqueous environments and their chemical composition
Number of environment
Environment Chemical composition
1 Boron regulation 1 %-solution H3BO3+KOH (pH8)
2 Boron regulation with chloride admixtures
1 %-solution H3BO3+KOH (pH8) + +5 mg/kg Cl– (10,5 mg/kg KCl)
3 Boron regulation with nitride admixtures
1 %-solution H3BO3+KOH (pH8)+ +10 mg/kg
3NO (16,3 mg/kg KNO3)
4 Ammoniac Distilled water+NH3 (pH9) 5 Hydrazine-ammoniac (I) H2O+NH3 (pH9)+100 g/kg N2H4 6 Hydrazine-ammoniac (II) H2O+NH3 (pH9)+100 mg/kg N2H4
7 Ammoniac with chloride admixtures
H2O+NH3 (pH9)+ +10 mg/kg Cl–(16,5 mg/kg NaCl)
8 Ammoniac with admixtures of hydrochloric acid
H2O+NH3 (pH9)+ + 10 mg/kg Cl– (HCl); pH3,95
9 Ammoniac with admixtures acetic acid
H2O+NH3 (pH9)+ +10–5 mole/l CH3CH2COOH; pH5,9
10 10010
-9
10-8
10-7
10-6
08Kh18N12T
dl/d
N, m
/cyc
le
KI , МPа(m)1/2
1 2 3
10 10010
-9
10-8
10-7
10-6
12Kh1MF
dl/d
N, m
/cyc
le
KI , МPа(m)1/2
4 5 6 7 8 9
Fig 3.4. Corrosion fatigue crack growth rate diagrams of steels 08Kh18N12Т and 12Kh1МF in operating environments of different composition. The numbers of
points correspond to numbers of environments in Table 3.2.
Table 3.3. Coefficients in Paris equation for tested conditions
Steel Number of
environment C n R2
1 2.10-17 7,61 0,8162 2 6.10-19 8,95 0,9339 08Kh18N12Т 3 4.10-12 3,48 0,8306 4 2.10-16 7,13 0,9181 5 3.10-16 7,15 0,9289 6 1.10-14 5,79 0,9199 7 7.10-21 10,26 0,9528 8 2.10-14 5,50 0,8978
12Kh1МF
9 3.10-31 21,39 0,8051
Table 3.4. Admissible crack depth in the wall of pipelines versus number cycles of loading of the heat plant power units
Admissible depth of crack l , mm Shape of
crack Steel
Number of environment 500
cycles 1000 cycles
2000 cycles
3000 cycles
5000 cycles
1 7,2 7,1 7,0 6,9 6,8 2 7,1 7,0 6,9 6,8 6,8 08Kh18N12Т 3 7,9 7,6 7,3 7,1 7,0 4 7,1 7,0 6,8 6,7 6,6 5 7,0 6,9 6,7 6,7 6,6 6 7,2 7,0 6,9 6,8 6,6 7 7,1 7,0 6,9 6,9 6,8 8 7,2 7,1 6,9 6,8 6,7
201al
12Kh1МF
9 6,2 6,2 5,9 5,8 5,8 1 7,8 7,6 7,5 7,4 7,2 2 7,6 7,5 7,4 7,3 7,2 08Kh18N12Т 3 8,6 8,2 7,8 7,7 7,4 4 7,7 7,5 7,3 7,2 7,1 5 7,5 7,4 7,2 7,1 7,0 6 7,8 7,6 7,4 7,2 7,1 7 7,6 7,5 7,4 7,4 7,2 8 7,8 7,6 7,4 7,3 7,1
31al
12Kh1МF
9 6,6 6,6 6,4 6,3 6,3
Fig 3.5. Assessment of admissible crack-like defect depth on operation time of pipe-line made from steel 08Kh18N12Т (a, b) and steel 12Kh1МF (c, d): a, c – a/b=1/10; b, d – a/b=2/3. Numbers of points correspond to numbers of environments in Table 4.1.
0 100 200 300 4006
7
8
9a)
l * , m
m
103, hours
1 2 3
0 100 200 300 4005
6
7
8c)
l * ,
mm
103, hours
4 5 6 7 8 9
0 100 200 300 400
6
7
8
9
b)
103, hours
l * , m
m
1 2 3
0 100 200 300 4005
6
7
8
d)
103, hours
l * , m
m
4 5 6 7 8 9
3.4. ASSESSMENT OF METAL PROPERTIES DEGRADATION UNDER LONG TERM EXPLOITATION
Table 3.5. Statistic data on exploitation regimes of power plant units.
Power Plant Exploitation
term, thousand hours
Number of unit start
Number cycles of loading
Vyhlehirska Power Plants (V)
120-150
170-350
850-17500
Ladyghynska Power Plants (L)
135-145
360-455
1800-2275
C Mn Si Cr Ni Cu S P As Fe 0,12 1,2 0,7 0,3 0,3 0,3 <0,04 <0,03 <0,08 Bal.
Ultimate stress MPa480σU Yield stress MPa250σY
Table 3.6. Chemical composition of steel 16HS (in weight %).
“ M a t e r i a l - e n v i r o n m e n t ” s y s t e m
n
C
N e w m e t a l - n o m i n a l e n v i r o n m e n t
1 1 . 2 1 8 7 1 1 0 1 6.
N e w m e t a l - o r g a n i c a d d i t i o n s
1 0 . 5 5 3 0 2 1 0 1 5.
M e t a l V - n o m i n a l e n v i r o n m e n t
1 4 . 0 7 1 6 6 1 0 1 8.
M e t a l V - o r g a n i c a d d i t i o n s
1 0 . 6 6 3 2 4 1 0 1 5.
M e t a l L - n o m i n a l e n v i r o n m e n t
3 2 . 8 7 1 6 6 1 0 3 3.
M e t a l L - o r g a n i c a d d i t i o n s 1 8 . 3 6 4 3 6 1 0 2 2.
Table 3.7. Corrosion fatigue crack growth resistance of feeding pipelines metal (16HSsteel).
da/dN,mm/cycle
R Hz 0 7 10. ; . R Hz 0 7 10. ; .
K MPa m, K MPa m,
10
10-6
10-5
10-4
129876 10
10-6
10-5
10-4
10-3
129876
(a) (b)
1
2
3
1
2
3
dl /dN,mm/cycle
R Hz 0 7 10. ; . R Hz 0 7 10. ; .
K MPa m, K MPa m,
10
10-6
10-5
10-4
129876 10
10-6
10-5
10-4
10-3
129876
(a) (b)
1
2
3
1
2
3
da/dN,mm/cycle
R Hz 0 7 10. ; .R Hz 0 7 10. ; . R Hz 0 7 10. ; .R Hz 0 7 10. ; .
K MPa m, K MPa m, K MPa m, K MPa m,
10
10-6
10-5
10-4
129876 10
10-6
10-5
10-4
10-3
129876
(a) (b)
1
2
3
1
2
3
10
10-6
10-5
10-4
129876 10
10-6
10-5
10-4
10-3
129876
(a) (b)
1
2
3
1
2
3
dl /dN,mm/cycle
R Hz 0 7 10. ; .R Hz 0 7 10. ; . R Hz 0 7 10. ; .R Hz 0 7 10. ; .
K MPa m, K MPa m, K MPa m, K MPa m,
10
10-6
10-5
10-4
129876 10
10-6
10-5
10-4
10-3
129876
(a) (b)
1
2
3
1
2
3
10
10-6
10-5
10-4
129876 10
10-6
10-5
10-4
10-3
129876
(a) (b)
1
2
3
1
2
3
Fig 3.6. Comparison of the corrosion fatigue crack growth resistance diagrams of new metal (1) and used pipe-line metals from Vyhlehirska Power Plant (2) and Ladyghynska Power Plant (3) for operating environments of different composition: (a) - environment of nominal composition; (b) - with organic additions.
Fig. 3.7. Dependencies of admissible rack-like defects depth on the planned service life for new metal (1) and used pipeline metals from Vyhlehirska Power Plant (2) and Ladyghynska Power Plant (3). Environment: (a) and (c) - nominal composition; (b) and (d) - with organic additions. Type of crack-like defect: (a) and (b) - furrow-type; (c) and (d) - ulcer-type. 0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
a m m ,
a m m ,
h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
mm,l
mm,l
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
a m m ,
a m m ,
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
a m m ,a m m ,
a m m ,a m m ,
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3*h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(b )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 03
4
5
6
(c )
3
2
1
h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3 h o u rs1 0,T 3
0 1 0 0 2 0 0 3 0 0 4 0 0
3
4
5
6
7(d )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
2
3
4
5(a )
3
2
1
0 1 0 0 2 0 0 3 0 0 4 0 0
mm,l
mm,l
EXPERT SYSTEM
FOR ASSESSMENT OF RELIABILITY AND DURABILITYFOR ASSESSMENT OF RELIABILITY AND DURABILITY OF STRUCTURAL COMPONENTS OF HEAT POWER PLANTSOF STRUCTURAL COMPONENTS OF HEAT POWER PLANTS
CONCLUTIONS
1. Analysis of the characteristic types of in-service damages and failures of 1. Analysis of the characteristic types of in-service damages and failures of basic equipment of heat power plants (water-wall tubes of high pressure steam-basic equipment of heat power plants (water-wall tubes of high pressure steam-boilers, super heater tubes of sub- and supercritical pressure boilers, water boilers, super heater tubes of sub- and supercritical pressure boilers, water economizers, non-heated boiler’s elements and feeding pipelines of economizers, non-heated boiler’s elements and feeding pipelines of supercritical pressure power generating units) has showed on predominantly supercritical pressure power generating units) has showed on predominantly cracks nucleation and growth processes as result of as result of long time of cracks nucleation and growth processes as result of as result of long time of exploitation or as result of different reflections of operating regimes of exploitation or as result of different reflections of operating regimes of equipment.equipment. 2. Fracture mechanics approaches are preferable as basic concept for expert 2. Fracture mechanics approaches are preferable as basic concept for expert assessments of technical state and reliability of heat-and-power engineering assessments of technical state and reliability of heat-and-power engineering equipment.equipment. 3. Service life extension of such equipment is to be carried out on the base of 3. Service life extension of such equipment is to be carried out on the base of diagnostics of its actual state and diagnostics of its actual state and residual life of the basic structural elements residual life of the basic structural elements should be evaluated with takes into account of the actual data of metal should be evaluated with takes into account of the actual data of metal properties and operating conditions of equipment.properties and operating conditions of equipment.