Abstract
The paper presents the improvement in design of the conductor connecting the windings and bushings in oil power transformers. This is a sensitive part of large transformers and there is a need to optimise its manufacturing time and costs. The thermal problem of the heating of this conductor with increased insulation thickness on a part of it is treated using a non-linear two-dimensional thermal model. The experiments performed made determining of some problematic parameters (heat resistance of oil-paper insulation and the paper to oil convection heat transfer coefficient) of the thermal model feasible. The results obtained are of practical interest in the design practice of interconnections, but also affect the important parameters of heat transfer by devices with oil immersed paper insulation.
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Abbreviations
- Δx (m):
-
Length of a finite conductor element (0.1 m)
- a×b (m2):
-
Copper cross-section dimensions (17×22 mm)
- δp (m):
-
Paper insulation thickness
- Subscript *:
-
With normal insulation
- Subscript **:
-
With additional insulation (equivalent value Eq. 14)
- δa (m):
-
Thickness of the additional manually wrapped insulation
- ϑO (°C):
-
Oil temperature
- ϑa (°C):
-
Ambient (air) temperature
- qCui (W):
-
Power losses in the ith finite element
- ϑCui (°C):
-
Conductor temperature of the ith finite element
- ϑPi (°C):
-
Insulation temperature of the ith finite element
- RλPi (K W−1):
-
Thermal resistance of conduction through paper insulation
- Rαi (K W−1):
-
Thermal resistance of convection from the paper’s insulation outer surface to the surrounding oil
- RλCu (K W−1):
-
Thermal resistance of conductive heat transfer through the copper
- k s :
-
Skin and proximity effect coefficient
- SCu (m2):
-
Total conductor cross section (263.25 mm2)
- ρCu20 (Ω m):
-
Specific electrical copper resistance at 20°C (1.7×10−8 Ω m)
- αCu20 (°C−1):
-
Thermal coefficient of resistance (3.9×10−3°C−1)
- I (A):
-
Current
- λCu (W m−1 K−1):
-
Thermal conductivity of copper (401 W m−1 K−1)
- αi (W m−2 K−1):
-
Convection heat transfer coefficient
- Spo (m2):
-
Convection heat transfer surface
- Ra:
-
Rayleigh number
- Nu:
-
Nusselt number
- D (m):
-
Cylinder diameter, i.e. equivalent diameter of the conductor
- ϑs (°C):
-
Cylinder surface temperature
- ϑf (°C):
-
Fluid temperature
- g (m s−2):
-
Gravitational acceleration (9.81 m s−2)
- β (K−1):
-
Oil volumetric thermal expansion coefficient
- ν (m s−2):
-
Oil kinematic viscosity
- a (m2 s−1):
-
Oil thermal diffusivity
- λ (W m−1 K−1):
-
Oil thermal conductivity
- Pr:
-
Oil Prandtl number
- ϑpar (°C):
-
Average surface and oil temperature
- λP (W m−1 K−1):
-
Thermal conductivity of the oil-paper insulation (0.0015 W m−1 K−1)
- SP (m2):
-
Cross section of heat conduction through the paper area
- ϑsi (°C):
-
Temperature measured by the sensor at position i (i=0,1,2,...,28)
- ϑ (°C):
-
Temperature
- J (A mm−2):
-
Current density
- ϑac (°C):
-
Calculated mean winding temperature
- ϑam (°C):
-
Measured mean winding temperature
- Δ ϑa (K):
-
Deviation of calculated from measured mean winding temperature
- ϑOa (°C):
-
Average oil temperature
- Δ ϑsi (K):
-
Difference between calculated and measured temperature values at measuring positions in the insulation
References
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Radakovic, Z., Cardillo, E., Schaefer, M. et al. Design of the winding–bushing interconnections in large power transformers. Electr Eng 88, 183–190 (2006). https://doi.org/10.1007/s00202-004-0275-x
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DOI: https://doi.org/10.1007/s00202-004-0275-x