This chapter reveals the design and application of an adaptive passivitybased controller in the Lagrangian framework for the three-level (TL) boost converter
as an EV battery charger. The proposed control technique is based upon the dynamic
model of the proposed system along with the idea of energy shaping and damping
injection. First, the state-space equations are developed using the EL formulation.
Furthermore, the adaptive PBC on the average dynamics of the TL boost converters is
designed along with the stability analysis. To reduce the steady-state errors and to
obtain a robust controller against dynamics and external disturbances, a PI controller is
added parallel to the proposed controller. The performances of the proposed controller
are studied for two different loads (resistive and battery) under several operating
conditions through MATLAB/ Simulink and tested through the OPAL-RT simulator.
The power quality feature of the TL boost PFC converter is also assessed through total
harmonic distortion of input source current under different operating conditions. Less
than 5% total harmonic distortion is observed in the source current under various
loading conditions, which lies in the range of international harmonic standard IEC
61000-3-2 Class C. Further, the comparative discussion of the proposed adaptive PBC
with the PI controller is included in terms of peak overshoot, rise time, peak time and
settling time.
Keywords: Adaptive passivity-based control, Euler-lagrange equation, Mathematical modeling, Three-level boost converter.
