Title: Admittance (or ABCD) Matrix of a Voltage Source Converter (VSC)
1Admittance (or ABCD) Matrix of a Voltage Source
Converter (VSC)
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- Presenter Ryan Lian
- Supervisor Prof. P. W.Lehn
- Energy and Systems Group
- University of Toronto
2Introduction (1)
- Advances in the voltage and current ratings of
IGBTs and GTOs result in wide spread use of VSC - At generation level, back to back VSCs to
interface with energy source such as wind
conversion systems. - At transmission level, VSCs are used to improve
system stability and power flow - However, the side effect of these power
electronics is the generation of harmonics -
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3Introduction (2)
- Objective
- To accurately model VSC for harmonics study
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4Main Concept
- Our Proposed Method
- Solve for piecewise LTI differential equations in
the time domain - Apply periodicity constraints
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5Results (1)
- ABCD parameters based on proposed method with h
- -10..10 included
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6Results (2)
- ABCD parameters based on harmonic domain method
with h-10..10 included
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7Results (3)
- Apply an arbitrary set of input stimuli to both
ABCD parameters to compare output currents
Resulting first 4 output currents
Phase A Current Harmonic Domain Proposed Time Domain
DC -0.0147 -0.0127
Fundamental -0.6751 - j0.4428 -0.6396 -j 0.4227
2nd harmonic 0.0102 - j0.0324 0.0081-j0.0126
3rd harmonic 0.1848 j0.0113 0.1820 j 0.0157
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8Results (4)
- Increase harmonic numbers to 50
Resulting first 4 output currents
Phase A Current Harmonic Domain Proposed Time Domain
DC -0.0127 -0.0127
Fundamental -0.6395 - j0.4173 -0.6396 - j0.4227
2nd harmonic 0.0080-j0.0125 0.0081-j0.0126
3rd harmonic 0.1817 j0.0157 0.1820 j 0.0157
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9Results (5)
- The proposed method does not suffer truncation
errors
Resulting first 4 output currents
Phase A Current Proposed Time Domain (h10) Proposed Time Domain (h50)
DC -0.0127 -0.0127
Fundamental -0.6396 -j 0.4227 -0.6396 -j 0.4227
2nd harmonic 0.0081-j0.0126 0.0081-j0.0126
3rd harmonic 0.1820 j 0.0157 0.1820 j 0.0157
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10Conclusions
- Admittance matrix derived from the proposed
method does not suffer from harmonic truncation
error. - The admittance matrix derived from the proposed
time domain method can be used to improve the
accuracies of harmonic power flow programs - Email liank_at_ecf.utoronto.ca
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