Sliding mode controller-based switched-capacitor-based high DC gain and low voltage stress DC-DC boost converter for photovoltaic applications

This brief mainly studies the dynamic analysis and control problem for the Leslie-Gower predator-prey system, which is established by a delay-differential equation. We use the Euler scheme to derive the discrete form of Leslie-Gower model. By discussing the associated characteristic equation, its dynamics properties, including stability analysis and Neimark-Sacker bifurcation, are investigated. Furthermore, we use the center manifold reduction and normal form theory to show the directions of Neimark-Sacker bifurcation, and we also analyze the stability of periodic bifurcation solution. In order to achieve effective control of the above bifurcation, we proposed a novel delayed feedback control scheme. Finally, an simulation example is given to verify the effectiveness of the main conclusion.

Bifurcation and Control for a Predator-Prey System With Two Delays

One-cycle controlled Cuk converters are prone to exhibit oscillation at the input stage as a result of Hopf bifurcation. A controller based on time delay feedback is proposed to eliminate the oscillation and stabilize the converter. The controller introduces two new parameters, which are known as the feedback gain and the delayed time. These two parameters are of great importance in stabilizing the converter. The averaged model of the converter is adopted to select the parameters. A necessary condition for the converter to be stabilized gives an effective range of the two parameters. An experimental Cuk converter was constructed for verification purposes. The waveforms in front of load changes are provided. The results show that the proposed controller eliminated the oscillation in the input stage of the converter. The controller allows widening of the stability domain and decreases switch voltage stress in the input stage of the one-cycle controlled Cuk converter.

Hopf Bifurcation and Its Control in the One-Cycle Controlled Cuk Converter

Power electronics technology is still an emerging technology, and it has found its way into many applications, from renewable energy generation (i [...]

/pdf/applications-of-power-electronics-2cchyxpl9i.pdf

Applications of Power Electronics

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.

/pdf/mitigation-of-complex-non-linear-dynamic-effects-in-multiple-22de2cggks.pdf

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

Power Factor Correction (PFC) converters are widely used in engineering. A classical PFC control circuit employs two complicated feedback control loops and a multiplier, while the One-Cycle-Controlled (OCC) PFC converter has a simple control circuit. In OCC PFC converters, the voltage loop is implemented with a PID control and the multiplier is not needed. Although linear theory is used in designing the OCC PFC converter control circuit, it cannot be used in predicting non-linear phenomena in the converter. In this paper, a non-linear model of the OCC PFC Boost converter is proposed based on the double averaging method. The line frequency instability of the converter is predicted by studying the DC component, the first harmonic component and the second harmonic component of the main circuit and the control circuit. The effect of the input voltage and the output capacitance on the stability of the converter is studied. The correctness of the proposed model is verified with numerical simulations and experimental measurements.

https://www.mdpi.com/2079-9292/7/9/203/pdf

Line Frequency Instability of One-Cycle-Controlled Boost Power Factor Correction Converter

The Buck converter exhibits interesting nonlinear phenomena which many studies have addressed, and the resonant parametric perturbation is effective to control these nonlinear phenomena. We investigate the control mechanism by using the monodromy matrix derived from the Filippov's method when the perturbation has an appropriate phase shift and the duty ratio is not changed. We find that only one term in the monodromy matrix changes, and as a result of it, the eigenvalues may move into the unit circle with perturbation amplitude much less than existing methods. Along this clue, we make further attempt to decrease the amplitude by increasing the perturbation frequency to be an integer multiple of the converter frequency. The experimental results show effectiveness of the new method.

Control of bifurcation in the buck converter using novel resonant parametric perturbation

The invention discloses a DC-DC converter delay control circuit and delay gain factor determining method. The DC-DC converter delay control circuit includes a DC-DC converter comprising a main circuitand a control circuit. The control circuit is provided with a drive module driving switching on and switching off of a power device in the main circuit. The control circuit is also provided with a delay module and a gain module. The delay module collects state volume in the main circuit and outputs delay signals to the gain module after a delay process. The gain module amplifies the delay signalsand then inputs acquired gain signals to the drive module. The invention has beneficial effects that bifurcation and chaos are eliminated, so that converter stable operation is realized and ripple waves and switch device stress are reduced.

DC-DC converter delay control circuit and delay gain factor determining method

The invention discloses a DC-DC converter slow-time-scale low-frequency oscillation delay control circuit and a parameter calculation method. The DC-DC converter slow-time-scale low-frequency oscillation delay control circuit comprises a DC-DC converter. The DC-DC converter comprises a main circuit and a control circuit. The control circuit comprises a delay gain module, an integral module and a drive module. The delay gain module collects the state quantity of the main circuit, and a delay gain signal obtained through delay and amplification is input to the drive module through the integral module. A first drive output end of the drive module is connected with a power device switch tube in the main circuit. The drive circuit is used for driving the power device switch tube in the main circuit to be switched on/off and adjusting the working state of the main circuit. The feedback end of the drive module is connected with the integral module. The integral module integrates and resets the delay gain signal according to a feedback control signal to realize the closed-loop adjustment of the drive data of the drive module. The beneficial effects are as follows: voltage and current oscillation in the converter is overcome; the stable working parameter domain is expanded; an analog circuit is adopted, and the circuit is simple; the control is reliable; the voltage change is stable; and the precision is high.

DC-DC converter slow-time-scale low-frequency oscillation delay control circuit and parameter calculation method

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