Power Electronics Harmonic Analysis Based on the Linear Time Periodic Modeling. Applications for AC/DC/AC Power Electronic Interface

• Autorzy: Ignatova V. , Granjon P. , Bacha S.
• Języki publikacji: EN

Abstrakty

EN

This paper presents an analytical frequency-domain method for harmonics modeling and evaluation in power electronic systems. The considered system is described by a set of differential equations, which are converted in the frequency domain and presented in a matrix form. Indeed, currents and voltages are described in terms of Fourier series and arranged in a vector form. The passive elements and the switching functions are then represented by harmonic transfer matrices. The resolution of the matrix equations leads to theoretical time and frequency expressions of the system voltages and currents. This method is applied to a closed-loop three phase AC/DC/AC PWM converter. The control loop of the converter is modeled by additional equations. The spectra of the switching functions, necessary to build the corresponding harmonic transfer matrices, are calculated through a double Fourier series decomposition. The matrix equations are solved and the results are compared to those obtained by real measurements and Matlab/Simulink simulations.

Słowa kluczowe

EN

power system harmonics; power electronic; linear time periodic modeling; PWM; control system

• Wydawca: AGH University of Science and Technology ; Lodz University of Technology
• Czasopismo: Electrical Power Quality and Utilisation. Journal
• Rocznik: 2006
• Tom: Vol. 12, nr 1
• Strony: 45--51
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Ignatova V.

autor

Granjon P.

autor

Bacha S.

• LEG: Laboratory of Electrical Engineering of Grenoble, France,

Bibliografia

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• 2. Bathurst G., Smith B., Watson N., Arrillaga J.: Modelling of HVDC transmission systems in the Harmonic Domain. IEEE Transactions on Power Delivery, Vol.14, No.3, July 1999.
• 3. Mollerstedt E., Bernhardsson B.: A harmonic transfer function model for a diode converter train. 2000-IEEE-Power-Engineering-Society-Winter-Meeting.-Conference-Proceedings-Cat.-No.00CH37077. 2000: 957.62 vol.2.
• 4. Vanassche P., Gielen G., Sansen W.: Symbolic modeling of periodically time- varying systems using harmonic transfer matrices. IEEE Transactions on computer-aided design of integrated circuits and systems, Vol.21, No.9, September 2002.
• 5. Ignatova V., Bacha S., Granjon P., Retière N.:Linear time periodic modeling of power electronic devices for power system harmonic analysis and simulation. SAAEI-EPF 2004.
• 6. Ignatova V., Bacha S., Granjon P.: An analytical method for power quality assessment applied to grid connected power electronic converters. CIRED 2005.
• 7. Holmes D., McGrath P.: Opportunities for harmonic cancellation with carrier-based PWM for two-level and multilevel cascaded inverters. IEEE Transactions on industry applications, Vol.37, No.2, March/Avril 2001..