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Showing posts with label Short Circuit. Show all posts
Showing posts with label Short Circuit. Show all posts
PHASE SHIFTING TRANSFORMER SHORT CIRCUIT CHARACTERISTIC
Short Circuit Requirements
General
PSTs shall comply with the short circuit requirements of IEEE Std C57.12.00-2000, unless otherwise agreed upon by the purchaser and manufacturer.
Transformer categories
The kVA rating to be considered for determining the category should be the equivalent to the rating according to IEEE Std C57.12.00-2000.
Short-circuit current magnitude
The manufacturer shall determine the most onerous conditions for short circuit on every winding or active part in accordance with IEEE Std C57.12.00-2000.
These conditions should take into account the large impedance swings that can occur as the tap position is changed from the extreme positions to the mid position.
Since the system short-circuit levels are critical to the design of PSTs, the user shall specify the maximum system short-circuit fault levels expected throughout the life of the unit.
If a short-circuit test is performed, it shall be done in accordance with IEEE Std C57.12.90-1993.
The test shall be carried out on the tap position that produces the most severe stresses in each winding. This may require more than a single test depending on the type of construction.
For two-core PSTs this usually requires a test on the zero phase-shift position, as this position involves only the series transformer, and a second test on a position to be agreed upon between customer and manufacturer.
OPEN CIRCUIT CHARACTERISTICS OF POWER TRANSFORMER BASIC INFORMATION
The core loss (no-load loss) of a power
transformer may be obtained from an empirical design curve of watts
per pound of core steel (Fig. below). Such curves are established by
plotting data obtained from transformers of similar construction.
The basic loss level is determined by
the grade of core steel used and is further influenced by the number
and type of joints employed in construction of the core. Figure 10-1
applies for 9-mil-thick M 3-grade steel in a single-phase core with
45” mitered joints.
Loss for the same grade of steel in a
3-phase core would usually be 5% to 10% higher. Exciting current for
a power transformer may be established from a similar empirical curve
of exciting volt-amperes per pound of core steel.
The steel grade and core construction
are the same as for Fig. 10-1. The exciting current characteristic is
influenced primarily by the number, type, and quality of the core
joints, and only secondarily by the grade of steel.
Because of the more complex joints in
the 3-phase core, the exciting volt-amperes will be approximately 50%
higher than for the single-phase core. The exciting current of a
transformer contains many harmonic components because of the greatly
varying permeability of the steel.
For most purposes, it is satisfactory
to neglect the harmonics and assume a sinusoidal exciting current of
the same effective value. This current may be regarded as composed of
a core-loss component in phase with the induced voltage (90DEG ahead
of the flux) and a magnetizing component in phase with the flux.
Sometimes it is necessary to consider
the harmonics of exciting current to avoid inductive interference
with communication circuits. The harmonic content of the exciting
current increases as the peak flux density is increased.
Performance can be predicted by
comparison with test data from previous designs using similar core
steel and similar construction. The largest harmonic component of the
exciting current is the third.
Higher-order harmonics are
progressively smaller. For balanced 3-phase transformer banks, the
third harmonic components
POWER TRANSFORMER SHORT CIRCUIT FORCES BASICS AND TUTORIALS
SHORT CIRCUIT FORCES ON POWER TRANSFORMERS BASIC INFORMATION
What Are The Short Circuit Forces Acting On Power Transformers?
Forces exist between current-carrying conductors when they are in an alternating-current field. These forces are determined using :
F = B I sin x
where
F = force on conductor
B = local leakage flux density
x = angle between the leakage flux and the load current. In transformers, sin x is almost
always equal to 1.
Thus
B = uI
and therefore
F directly proportional to I^2
Since the leakage flux field is between windings and has a rather high density, the forces under shor tcircuit conditions can be quite high. This is a special area of transformer design. Complex computer programs are needed to obtain a reasonable representation of the field in different parts of the windings.
Considerable research activity has been directed toward the study of mechanical stresses in the windings and the withstand criteria for different types of conductors and support systems.
Between any two windings in a transformer, there are three possible sets of forces:
• Radial repulsion forces due to currents flowing in opposition in the two windings
• Axial repulsion forces due to currents in opposition when the electromagnetic centers of the two windings are not aligned
• Axial compression forces in each winding due to currents flowing in the same direction in adjacent
conductors
The most onerous forces are usually radial between windings. Outer windings rarely fail from hoop stress, but inner windings can suffer from one or the other of two failure modes:
• Forced buckling, where the conductor between support sticks collapses due to inward bending into the oil-duct space
• Free buckling, where the conductors bulge outwards as well as inwards at a few specific points on the circumference of the winding
Forced buckling can be prevented by ensuring that the winding is tightly wound and is adequately supported by packing it back to the core. Free buckling can be prevented by ensuring that the winding is of sufficient mechanical strength to be self-supporting, without relying on packing back to the core.
What Are The Short Circuit Forces Acting On Power Transformers?
Forces exist between current-carrying conductors when they are in an alternating-current field. These forces are determined using :
F = B I sin x
where
F = force on conductor
B = local leakage flux density
x = angle between the leakage flux and the load current. In transformers, sin x is almost
always equal to 1.
Thus
B = uI
and therefore
F directly proportional to I^2
Since the leakage flux field is between windings and has a rather high density, the forces under shor tcircuit conditions can be quite high. This is a special area of transformer design. Complex computer programs are needed to obtain a reasonable representation of the field in different parts of the windings.
Considerable research activity has been directed toward the study of mechanical stresses in the windings and the withstand criteria for different types of conductors and support systems.
Between any two windings in a transformer, there are three possible sets of forces:
• Radial repulsion forces due to currents flowing in opposition in the two windings
• Axial repulsion forces due to currents in opposition when the electromagnetic centers of the two windings are not aligned
• Axial compression forces in each winding due to currents flowing in the same direction in adjacent
conductors
The most onerous forces are usually radial between windings. Outer windings rarely fail from hoop stress, but inner windings can suffer from one or the other of two failure modes:
• Forced buckling, where the conductor between support sticks collapses due to inward bending into the oil-duct space
• Free buckling, where the conductors bulge outwards as well as inwards at a few specific points on the circumference of the winding
Forced buckling can be prevented by ensuring that the winding is tightly wound and is adequately supported by packing it back to the core. Free buckling can be prevented by ensuring that the winding is of sufficient mechanical strength to be self-supporting, without relying on packing back to the core.
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