Mitigation of Complex Non-Linear Dynamic Effects in Multiple Output Cascaded DC-DC Converters

Abstract

In the modern world of technology, the cascaded DC-DC converters with multiple output configurations are contributing a dominant part in the DC distribution systems and DC micro-grids. An individual DC-DC converter of any configuration exhibits complex non-linear dynamic behavior resulting in instability. This paper presents a cascaded system with one source boost converter and three load converters including buck, Cuk, and Single-Ended Primary Inductance Converter (SEPIC) that are analyzed for the complex non-linear bifurcation phenomena. An outer voltage feedback loop along with an inner current feedback loop control strategy is used for all the sub-converters in the cascaded system. To explain the complex non-linear dynamic behavior, a discrete mapping model is developed for the proposed cascaded system and the Jacobian matrix's eigenvalues are evaluated. For the simplification of the analysis, every load converter is regarded as a fixed power load (FPL) under reasonable assumptions such as fixed frequency and input voltage. The eigenvalues of period-1 and period-2 reveal that the source boost converter undergoes period-2 orbit and chaos whereas all the load converters operate in a stable period-1 orbit. The proposed configuration eliminates the period-2 and chaotic behavior from all the load converters and is also validated using simulation in MATLAB/Simulink and experimental results.

Hybrid PV and Fuel Cell Generating System for Shipboard Applications Based on Optimal Dispatch Evaluator Algorithm

“…In the past decade, a variety of modified boost DC-DC topologies have been proposed to achieve significant voltage gains and high effectiveness while including three-level boost, quadratic boost, Cascaded Inductor Boost (CLB), Integrated Inductor Boost (ILB), Interleaved Boost (IB), and Tapped-Inductor Boost (TLB). Additionally, several voltage-amplifying methods, such as Switched Capacitors (SC), Switched Inductors (SL), and Voltage Lifts (VL), have been used to enhance the performance of these conversion devices [2].…”

Simplified Nonlinear Current-Mode Control of DC-DC Cuk Converter for Low-Cost Industrial Applications

“…In addition, the structure of the controller should be cost-effective and attractive for industrial applications [ 2 ]. In the literature, nonlinear control techniques have been proposed for such a type of power converter [ 3 , 4 , 5 , 6 , 7 , 8 ]. For instance, a cascaded system that incorporates a DC-DC boost converter supplying buck, Cuk, and SEPIC converters has been studied [ 3 ].…”

“…In the literature, nonlinear control techniques have been proposed for such a type of power converter [ 3 , 4 , 5 , 6 , 7 , 8 ]. For instance, a cascaded system that incorporates a DC-DC boost converter supplying buck, Cuk, and SEPIC converters has been studied [ 3 ]. The nonlinear behavior of the cascaded system has been investigated with a two-loop controller, which contains inner current and outer voltage loops.…”

Dynamic behavior analysis of cascaded buck converter and boost converter system

“…However, SSA can also not predict the fast-scale instability because average linearization techniques ignore the switching process and high frequency ripples (Zadeh et al , 2017; Ji et al , 2022). Moreover, Du et al (2013), Xie et al (2013), Xu et al (2016), Zadeh et al (2017), Lenz Cesar et al (2018), and Ahmed et al (2021) used the idea of order reduction and the load stage of cascaded system is considered as a constant power load (CPL), which can transfer the cascaded system to a single-stage system and hence simplify the modeling and analysis. However, CPL method omits the dynamic of load stage and requires that the converter can regulate its output tightly, which is not always in practice.…”