Power Systems Application Brief
Power Generation
The Solution
The investigative team at the Queensland Electricity Commission (QEC)
used
DADiSP, the graphic display and data management software by
DSP Development Corporation, to determine the cause of the failures. With DADiSP and
some creative problem-solving techniques, the engineers identified the
troublesome harmonics in the system and traced their source.
Harmonic Power Flow
In a power system, synchronous generators produce energy at a
fundamental frequency of 50 or 60 Hz. Non-linear loads convert this
energy into useful output and into harmonic energy which flows back
into the power system to be dissipated. Since harmonic power flow is
from the non-linear load back 'towards' the power system, it is
possible to locate an offending harmonic source by determining the
direction of the harmonic power flow. The goal of the DADiSP
processing was, therefore, to determine the direction of harmonic power
flow.
FFT Analysis
About 30 current and voltage signals were measured using a data
acquisition system controlled by a personal computer. The data
acquisition system was triggered by high current levels in the filter
bank which indicated a 6th harmonic resonance. Recording duration was
about 2 seconds, with a sampling rate of 2560 Hz per channel. Recorded
data were translated from HP format into a binary file and imported
into DADiSP for post-processing. Voltage and current harmonic
components were extracted using Fast Fourier Transforms (FFTs). A
DADiSP macro which applied a frequency-related phase shift to the phase
output of the FFT was written and used to compensate for skewing errors
caused by the sequential sampling of the signals.
Transformer Saturation
Since data had been acquired at a fixed sampling rate even though the
power system frequency varied by as much as 0.2 Hz, spectral leakage
was a serious threat to accuracy. The investigative team reduced
leakage errors to sufficiently low levels using DADiSP's Hanning window
function, then verified them using test signals created with DADiSP's
'G' (Generate) functions. Another macro was written which acted on two
series, a voltage and a current, to produce a signed power flow vs.
frequency output. When the problems were isolated it was found that
the transformers under investigation had gone into saturation in the
presence of unsymmetrical load currents - currents containing both even
and odd harmonics. The 6th harmonic components were found to be
exciting the resonant condition, and particularly bad resonances were
found to occur when the large power transformers were energized in the
vicinity of the filter bank. These resonances produced high voltage
stresses on the capacitors which contributed to their failure.
DADiSP for Automated Power Analysis
T. A. George, one of the investigators on the team, especially
appreciated DADiSP's help on the project. In the report he wrote on
the investigation, he states, "The ability of DADiSP to automate the
bulk of the signal processing through the use of macros and pre-defined
spreadsheets contributed to tremendous savings in manpower." He says
that his team will use DADiSP as a standard tool to analyze similar
problems in the future - not that they intend to have further
catastrophic failures.