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2 Magnetic shielding of the tank from HV side for the original design of investigated transformer<br />

Surface impedance<br />

boundary condition<br />

enables calculations<br />

of stray losses<br />

in transformers,<br />

using a significantly<br />

reduced number of<br />

finite elements.<br />

3 Simulation model of transformer (tank walls are shown)<br />

A solution to this limitation has been implemented<br />

in many FEM software packages. In<br />

a first approximation, it can be stated that<br />

all eddy currents, and therefore losses, are<br />

generated close to the surface of the magnetic<br />

conductive materials. Therefore, the<br />

phenomenon can be treated as a boundary<br />

condition rather than a volume calculation.<br />

Surface impedance boundary condition<br />

Surface impedance boundary condition<br />

(SIBC) is a particular case of a general<br />

approximate boundary condition relating<br />

to electromagnetic quantities at a conductor/dielectric<br />

interface. It enables calculations<br />

of stray losses in transformers,<br />

using a significantly reduced number of<br />

finite elements [6].<br />

Surface impedance boundary conditions<br />

were assigned to magnetic and conducting<br />

components of the transformer such<br />

as flitch plates, tank and clamps.<br />

Electromagnetic simulations of power<br />

transformers<br />

A MVA three-phase 380/110/13.8 kV autotransformer,<br />

produced by ABB, was used<br />

for this research. The results concern the<br />

unit’s stray losses and temperature distribution.<br />

For simulation purposes, a simplified<br />

3-D model was created including<br />

only the major components of the transformer.<br />

The model includes a core, windings,<br />

flitch plates, clamps, a tank and<br />

magnetic shields on high- (HV) and lowvoltage<br />

(LV) walls ➔ 1.<br />

Magnetic shielding<br />

When loaded with full current, transformer<br />

windings produce high amounts of stray<br />

flux and losses, which translate into temperature<br />

rises in metallic parts. To avoid<br />

overheating, magnetic shunts are mounted<br />

on the tank walls ➔ 2. Shunts are ferromagnetic<br />

laminated steel elements that<br />

guide the flux emanating from the transformer<br />

winding ends and work as shields.<br />

In this particular case, the tank has three<br />

embossments on the HV wall ➔ 3 to<br />

make room for the three HV bushings.<br />

Only the optimization procedure for the<br />

shunts on the HV wall is considered here<br />

because no hot spots are detected from<br />

the LV side ➔ 4.<br />

Loss prophet<br />

53

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