Whenever a power transformer under no load condition is manually tripped, residual flux appears in the transformer core which vitally causes inrush current when the transformer is later reenergized. However real aspects of residual fluxes in relation with the tripping time have not yet been experimentally cleared. The authors established their interpretation of residual flux as of the ending states of transient phenomena after tripping, and they executed experimental proof test. By the authors' interpretation, three phase balanced transient phenomenon of voltage, current and core-flux is caused immediately after the transformer is tripped at
top0, and it continues until time
top1. The real aspect of the residual flux should be the core flux φ
a(
top1), φ
b(
top1), φ
c(
top1) at
top1. Further such residual flux as well as voltages and currents during the transient interval are practically three phase balanced so that they can be expressed as three phase balanced equilateral triangle phasors. By the way, the core flux values and the waveforms can not be directly measured while they can be digitally generated as integration of voltage waveform. So, the proof test of the residual flux by the above interpretation can be executed indirectly by preparing (a) measured voltage waveforms just after transformer tripping, (b) mathematically generated flux waveforms by voltage integration just after tripping and (c) measured transient inrush current
irush a,
irush b,
irush c caused immediately after the transformer is reenergized at timing
θcl, and then by comparing all these three data as the characteristics on the 3-D coordinates of [
θop0,
θcl,
irush] and of [
θop1,
θcl,
irush].
The authors executed experimental proof test using a mimic-test-circuit where large number of on-off-switching tests of a transformer were conducted. The test result clearly indicated that inrush current becomes the largest whenever
θcl is reverse angular timing toward
θop1 (in stead of
θop0), and it becomes the smallest whenever
θcl is in-phase with
θop1. All these test results satisfied the authors' interpretation of real aspect of the transient phenomena and the residual flux after tripping. The test results suggest essential algorisms of inrush current restraining control in order to appropriately restrain inrush current phenomena.
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