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Admittance (or ABCD) Matrix of a Voltage Source Converter (VSC). Presenter: Ryan Lian Supervisor: Prof. P. W.Lehn Energy and Systems Group University of Toronto. Introduction (1). Advances in the voltage and current ratings of IGBTs and GTOs result in wide spread use of VSC
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Admittance (or ABCD) Matrix of a Voltage Source Converter (VSC) Presenter: Ryan Lian Supervisor: Prof. P. W.Lehn Energy and Systems Group University of Toronto
Introduction (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 R. K. Lian 1
Introduction (2) • Objective: • To accurately model VSC for harmonics study • Input-Output Relation R. K. Lian 2
Main Concept • Linear Relation: • Our Proposed Method: • Solve for piecewise LTI differential equations in the time domain • Apply periodicity constraints R. K. Lian 3
Results (1) • ABCD parameters based on proposed method with h= -10..10 included R. K. Lian 4
Results (2) • ABCD parameters based on harmonic domain method with h=-10..10 included R. K. Lian 5
Results (3) • Apply an arbitrary set of input stimuli to both ABCD parameters to compare output currents Resulting first 4 output currents R. K. Lian 6
Results (4) • Increase harmonic numbers to 50 Resulting first 4 output currents R. K. Lian 7
Results (5) • The proposed method does not suffer truncation errors Resulting first 4 output currents R. K. Lian 8
Conclusions • 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@ecf.utoronto.ca R. K. Lian 9