Stability Analysis of a Constant Power Load Serviced by a Buck Converter as the Source Impedance Varies

As the NAVY moves forward with plans to become less dependent on fossil fuels and more dependent on hybrid electric drives and all-electric ships, being aware of the stability issues associated with direct current (DC)-DC and DC-alternating current (AC) power converters and understanding how to solve the issues that come with using them, are very important. The negative input impedance that is observed when using a buck converter servicing a constant power load (CPL) is one of the issues that needs to be understood. Understanding the stability issue caused by the negative input impedance and mitigating this instability by varying the input source impedance is the focus of this thesis. Using a Simulink model of an ideal CPL, we determined the expected results. Then, the Simulink results were compared to the analysis of the linearized small signal transfer function to determine how well the results of the two matched. Finally, the hardware model was observed and its results compared to the Simulink model and linearized small signal transfer function. These experiments led to the conclusion that increasing the capacitance or decreasing the inductance reduces the input source impedance and, ultimately, reduces instability in the system.http://archive.org/details/stabilityanalysi1094517451Lieutenant, United States NavyApproved for public release; distribution is unlimited

A Hyperbolic Tangent Adaptive PID + LQR Control Applied to a Step-Down Converter Using Poles Placement Design Implemented in FPGA

This work presents an adaptive control that integrates two linear control strategies applied to a step-down converter: Proportional Integral Derivative (PID) and Linear Quadratic Regulator (LQR) controls. Considering the converter open loop transfer function and using the poles placement technique, the designs of the two controllers are set so that the operating point of the closed loop system presents the same natural frequency. With poles placement design, the overshoot problems of the LQR controller are avoided. To achieve the best performance of each controller, a hyperbolic tangent weight function is applied. The limits of the hyperbolic tangent function are defined based on the system error range. Simulation results using the Altera DSP Builder software in a MATLAB/SIMULINK environment of the proposed control schemes are presented

Addressing Instability Issues in Microgrids Caused By Constant Power Loads Using Energy Storage Systems

Renewable energy sources, the most reasonable fuel-shift taken over the naturally limited conventional fuels, necessarily deal with the self-functional microgrid system rather than the traditional grid distribution system. The study shows that the microgrid system, a comparatively low-powered system, experiences the challenge of instability due to the constant power load (CPL) from many electronic devices such as inverter-based systems. In this dissertation, as a methodical approach to mitigate the instability complication, AC microgrid stability is thoroughly investigated for each and every considerable parameter of the system. Furthermore, a specific loading limit is depicted by evaluating the stability margin from the small signal analysis of the microgrid scheme. After demonstrating all cases regarding the instability problem, the storage-based virtual impedance power compensation method is introduced to restore the system stability and literally extend the loading limit of the microgrid system. Here, a PID controller is implemented to maintain the constant terminal voltage of CPL via current injection method from storage. Since the system is highly nonlinear by nature, advanced nonlinear control techniques, such as Sliding Mode Control and Lyapunov Redesign Control technique, are implemented to control the entire nonlinear system. Robustness, noise rejection, and frequency variation are scrutinized rigorously in a virtual platform such as Matlab/Simulink with appreciable aftermaths. After that, a comparative analysis is presented between SMC and LRC controller robustness by varying CPL power. From this analysis, it is evident that Lyapunov redesign controller performs better than the previous one in retaining microgrid stability for dense CPL-loaded conditions. Finally, to ensure a robust storage system, Hybrid Energy Storage System is introduced and its advantages are discussed as extended research work