Modeling of harmonics in the frequency range 2-150 kHz

Disturbances in the frequency range 2-150 kHz become more and more important every day. Many experiments have been done to observe and record them but less work has been done toward the modeling of these disturbances. This work describes the implementation of a CFL (Compact Fluorescent Lamp) model. In order to start from its input connection, the model is composed of: EMI filter, rectifier, APFC (boost converter), half-bridge, tank circuit and finally CFL load. Three implementations are proposed: - A complete model in Simulink, simulating in the time-domain the APFC, its controller and the other components. - The data of interest is the current harmonics at the device input. The device current is periodic with a period imposed by the grid frequency (T = 1/50) and therefore the Fourier series of this current can be computed over this period. The EMI filter must be kept to simulate the interactions with other devices in parallel, but the rest of the model is replaced by one equivalent Fourier series. It enables fast computation of the current harmonics for one device, but at this stage the Simulink simulation must still be executed to compute the harmonics for several devices in parallel. - The last model represents the devices interactions (previously done in Simulink) based on their Kirchhoff's current equations. The system of equation is then resolved in matlab with everything after the rectifier represented again by a current source. This enables fast computation time and current harmonics can now be defined everywhere in the circuit. The error ratio between this last simplified model and the ideal complete model are bounded between 0.9 and 1.1 allowing us to validate our model.