Varikonta / Dr. Ilgevicius
DETERMINATION OF LOADING CAPABILITIES
OF POWER CABLES
Page 2
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
AGENDA
1. Motivation and goals of the project
2. IEC 60287 Standard for power cable rating and its limitations
3. Application of analytical and nummerical methods for cable calculations
4. Case examples of MV and HV cable installation projects
5. Conclusions
Page 3
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
Project Management,
Design&Engineering,
Commisioning and
Consulting
VARIKONTA SOLUTIONS FOR POWER
UTILITIES
Page 4
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
1. MOTIVATION AND GOALS OF THE PROJECT
Motivation / Problem:
Existing standard methods (e.g. Neher-McGrath, IEC 60287 or by G. Anders) are based on
analytical 1D formulations
Determination of the hot spots under unfavorable thermal conditions
Moisture migration
Short time overload
Induced voltage in the cable screen
Goals of the EUREKA “Poweropt”:
Algorithm for steady-state and dynamic current rating for single-core and three-core cables
under following thermal conditions:
-Cable in air
- cable in ground
-Cable in duct / pipe
Algorithm for economical optimization of cable cross section
Validation of simulation results and recommendations to LST/IEC standards
Page 5
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
Project schedule and milestones:
1. MOTIVATION AND GOALS OF THE PROJECT
Page 6
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
Project Partners:
UAB Varikonta – Project Coordinator/ Dr. A. Ilgevicius
Vilnius Gediminas Technical University – Project Partner/ Prof. R. Ciegis
Universität der Bundeswehr München – Project Partner/ Prof. H.D. Liess
1. MOTIVATION AND GOALS OF THE PROJECT
Page 7
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
The Neher-McGrath (IEC 60287) method is based on a thermal-electrical analogy
method. The basic idea is to subdivide the area in layers, where the heat sources are
substituted by current sources, thermal resistances by electrical resistances and thermal
capacitances by electrical capacitances.
2. IEC 60287 STANDARD FOR POWER CABLE
RATING AND ITS LIMITATIONS
3Wc 0.5Wd Wa0.5Wd Ws
Rth1
Rth2
Rth3
Rth4
Rth1
Rth1
3 3
The total Joule loss Wtotal in a cable can be
expressed as:
)1( 21 CaSCtotal WWWWW
The conductor temperature T rise above the
ambient temperature and rated current is given by:
)()1()1()5.0( 4321
2
21
2
1
2
ththdAC
thdAC
thdAC RRnWI
A
lnRWI
A
lRWI
A
lT
))(1()1(
)(5.0(
4321211
4321
ththACthACthAC
ththththdrated
RRnRRnRRR
RRRnRWTI
Page 8
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
Curren adjustment factors:
with:
I’ is the permissible current under actual installation conditions,
F overall adjustment factor,
I is the base permissible current
The overall adjustment factor is:
where:
Ft is the adjustment factor to account the differences in ambient and conductor
temperatures from the base temperature,
Fth is the adjustment factor to account the differences in the soil thermal resistivity from
the base value,
Fg is the adjustment factor to account for cable grouping
FII '
gtht FFFF
2. IEC 60287 STANDARD FOR POWER CABLE
RATING AND ITS LIMITATIONS
Page 9
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
Limitations of the IEC 60287:
- Modeling of ground thermal properties
- Modeling of the heat transfer in air gap
between cable and duct
- Dynamic loadability of cables
2. IEC 60287 STANDARD FOR POWER CABLE
RATING AND ITS LIMITATIONS
Page 10
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
Comparision of IEC 60287 vs. nummerical Simulation
300mm2 XLPE copper cable direct burried in the ground:
Max permissible current acc. IEC 60287:
2. IEC 60287 STANDARD FOR POWER CABLE
RATING AND ITS LIMITATIONS
AAFFIFI gtht 51889,093,01626'
Page 11
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
Three different time scales are relevant:
-Real time operation (minutes) – Analytical approach
-Day-ahead planning (hours) – Analytical approach
-Grid planing (years) – Nummerical approach
A simulation tool should cover all three time scales
1. Real time operation/monitoring systems
4. ANALYTICAL AND NUMMERICAL METHODS
FOR CABLE CALCULATIONS
mn
nnnm
tTTTT expˆˆ
1
mn
nnmn
TT
TTt
ˆ
ˆln 1
22
2
1
2
lnmn
nnmn
II
IIt
Page 12
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
2. Day – ahead planning
-Predicted currents in each of three systems
- Predicted current in System 3 when System 1
is out of order and System 2 fails
System 1(380 kV) A C
B
System 2 (380 kV)
System 3 (150 kV)
4. ANALYTICAL AND NUMMERICAL METHODS
FOR CABLE CALCULATIONS
Page 13
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
3. Grid planning
4. ANALYTICAL AND NUMMERICAL METHODS
FOR CABLE CALCULATIONS
1mG G G
<1m
D2
D3
D1
D3
Page 14
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
-Cables in ducts
- Induced voltage into the screen by magnetic field from conductor
4. ANALYTICAL AND NUMMERICAL METHODS
FOR CABLE CALCULATIONS
Page 15
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
-HVDC Nordbalt Project:
-Total cable length: ca. 450 km,
Rated Power: 700 MW
System Voltage: 400 kV DC
The longest cable route of such power
rating so far.
5. REFERENCE PROJECTS
Reference: ABB/Nordbalt
Page 16
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
-110 kV cable in Klaipeda, Lypkiai
- Calculated max. permissible current:
5. REFERENCE PROJECTS
Base rated current
Page 17
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
-Fortum Waste-to-Energy Plant in Klaipeda
-10 and 6 kV cable installations in ground
and air
9 single core cables of 500mm2
from generator to the step up transformer
5. REFERENCE PROJECTS
Page 18
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
6. CONCLUSIONS
Page 19
Date: 28.05.2014 Dr. A. Ilgevicius
UAB Varikonta
6. QUESTIONS
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