Lyapunov-based control and observer of a boost converter with LC input filter and stability analysis

This paper presents a control method for a boost converter, which is connected to a dc-link of an onboard microgrid system via an LC input filter. The boost converter is considered as a load converter. This control approach is based on a Lyapunov stability analysis, where all state variables must be known. An observer is used to estimate the input current and losses in the converter. A change of load resistance can be known by evaluating the information from the estimated losses without using any sensor for the output current. These allow us to decrease a countable number of sensors. A Lyapunov function candidate is chosen to ensure that the system and the observer operate stably. The switching command for turning the semiconductor switch on or off is determined by evaluating the time-derivative of the chosen Lyapunov function and choosing the minimum one making the controlled system stable every each sampling cycle. It makes the controlled system operate under a stable zone for the bounded load resistance and input voltage. The experimental results verify the validation of the proposed control.

[1]  Jian Liu,et al.  Hybrid bidirectional interactive DC traction power supply system with microgrid , 2014, 2014 IEEE Conference and Expo Transportation Electrification Asia-Pacific (ITEC Asia-Pacific).

[2]  Marta Molinas,et al.  Stability analysis of hybrid AC/DC power systems for more electric aircraft , 2016, 2016 IEEE Applied Power Electronics Conference and Exposition (APEC).

[3]  Marta Molinas,et al.  Energy management and stabilization of a hybrid DC microgrid for transportation applications , 2016, 2016 IEEE Applied Power Electronics Conference and Exposition (APEC).

[4]  Sung Jin Yoo,et al.  State observer based sensor less control using Lyapunov's method for boost converters , 2015 .

[5]  Raymond A. DeCarlo,et al.  MPC of Switching in a Boost Converter Using a Hybrid State Model With a Sliding Mode Observer , 2009, IEEE Transactions on Industrial Electronics.

[6]  Babak Nahid-Mobarakeh,et al.  Active stabilization of a poorly damped input filter supplying a constant power load , 2009, 2009 IEEE Energy Conversion Congress and Exposition.

[7]  D. Sadarnac,et al.  A control strategy to stabilize PWM dc-dc converters with input filters using state-feedback and pole-placement , 2008, INTELEC 2008 - 2008 IEEE 30th International Telecommunications Energy Conference.

[8]  Marta Molinas,et al.  Discrete-time modelling, stability analysis, and active stabilization of dc distribution systems with constant power loads , 2015, 2015 IEEE Applied Power Electronics Conference and Exposition (APEC).

[9]  Pierre Riedinger,et al.  Switched Affine Systems Using Sampled-Data Controllers: Robust and Guaranteed Stabilization , 2011, IEEE Transactions on Automatic Control.

[10]  Dylan Dah-Chuan Lu,et al.  A Novel Stabilization Method of LC Input Filter With Constant Power Loads Without Load Performance Compromise in DC Microgrids , 2015, IEEE Transactions on Industrial Electronics.

[11]  Jian Sun,et al.  Constant-Power Load System Stabilization by Passive Damping , 2011, IEEE Transactions on Power Electronics.

[12]  Wajiha Shireen,et al.  Control of PHEV charging facilities integrated with small scale wind turbine , 2015, 2015 IEEE Transportation Electrification Conference and Expo (ITEC).

[13]  Jean-Philippe Martin,et al.  Switching command based on Lyapunov function for a boost converter with an LC input filter in dc microgrid application , 2015, 2015 International Conference on Renewable Energy Research and Applications (ICRERA).

[14]  A. Bakhshai,et al.  An Adaptive Nonlinear Current Observer for Boost PFC AC/DC Converters , 2014, IEEE Transactions on Industrial Electronics.

[15]  Jean-Philippe Martin,et al.  DC–DC Converters Dynamic Modeling With State Observer-Based Parameter Estimation , 2015, IEEE Transactions on Power Electronics.

[16]  Moshe Sitbon,et al.  Disturbance Observer-Based Voltage Regulation of Current-Mode-Boost-Converter-Interfaced Photovoltaic Generator , 2015, IEEE Transactions on Industrial Electronics.

[17]  Sarah Saeed.  Design and construction of a DAB Converter for integration of energy storage systems in Power Electronic applications , 2015, 2015 6th International Conference on Power Electronics Systems and Applications (PESA).