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The design of robust and reliable power converters is fundamental in the incorporation of novel power systems. In this paper, we perform a detailed theoretical analysis of a synchronous ZETA converter controlled via peak-current with ramp compensation. The controller is designed to guarantee a stable Period 1 orbit with low steady state error at different values of input and reference voltages. The stability of the desired Period 1 orbit of the converter is studied in terms of the Floquet multipliers of the solution. We show that the control strategy is stable over a wide range of parameters, and it only loses stability: (i) when extreme values of the duty cycle are required; and (ii) when input and reference voltages are comparable but small. We also show by means of bifurcation diagrams and Lyapunov exponents that the Period 1 orbit loses stability through a period doubling mechanism and transits to chaos when the duty cycle saturates. We finally present numerical experiments to show that the ramp compensation control is robust to a large set of perturbations.
David Angulo-García; Fabiola Angulo; Juan-Guillermo Muñoz. DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis. Applied Sciences 2021, 11, 5946 .
AMA StyleDavid Angulo-García, Fabiola Angulo, Juan-Guillermo Muñoz. DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis. Applied Sciences. 2021; 11 (13):5946.
Chicago/Turabian StyleDavid Angulo-García; Fabiola Angulo; Juan-Guillermo Muñoz. 2021. "DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis." Applied Sciences 11, no. 13: 5946.
The boost-flyback converter is a DC-DC step-up power converter with a wide range of technological applications. In this paper, we analyze the boost-flyback dynamics when controlled via a modified Zero-Average-Dynamics control technique, hereby named Zero-Average-Surface (ZAS). While using the ZAS strategy, it is possible to calculate the duty cycle at each PWM cycle that guarantees a desired stable period-1 solution, by forcing the system to evolve in such way that a function that is constructed with strategical combination of the states over the PWM period has a zero average. We show, by means of bifurcation diagrams, that the period-1 orbit coexists with a stable period-2 orbit with a saturated duty cycle. While using linear stability analysis, we demonstrate that the period-1 orbit is stable over a wide range of parameters and it loses stability at high gains and low loads via a period doubling bifurcation. Finally, we show that, under the right choice of parameters, the period-1 orbit controller with ZAS strategy satisfactorily rejects a wide range of disturbances.
Juan-Guillermo Muñoz; Fabiola Angulo; David Angulo-Garcia. Zero Average Surface Controlled Boost-Flyback Converter. Energies 2020, 14, 57 .
AMA StyleJuan-Guillermo Muñoz, Fabiola Angulo, David Angulo-Garcia. Zero Average Surface Controlled Boost-Flyback Converter. Energies. 2020; 14 (1):57.
Chicago/Turabian StyleJuan-Guillermo Muñoz; Fabiola Angulo; David Angulo-Garcia. 2020. "Zero Average Surface Controlled Boost-Flyback Converter." Energies 14, no. 1: 57.
Controlling switched systems is a difficult task, even when dealing with piecewise linear systems (CPWLs), which consist of a set of linear differential equations and a set of switching conditions. This difficulty is largely due to the loss of linearity in the entire system, and it is necessary to solve differential and algebraic equations to determine the solution. In this paper, a new method to tune the parameters of the controllers applied to switched systems is derived using information from the saltation matrix, particularly its induced norm. First, the parameters are tuned using classical methods, and then, after analyzing the norm of the saltation matrix, a new set of parameters that guarantees the stability of the period-1 orbit is obtained. The method is validated using analytical solutions for two different systems (boost and boost-flyback power converters) and is also experimentally validated for the boost-flyback power converter.
Juan-Guillermo Muñoz; Arnold Perez; Fabiola Angulo. Enhancing the Stability of the Switched Systems Using the Saltation Matrix. International Journal of Structural Stability and Dynamics 2019, 19, 1 .
AMA StyleJuan-Guillermo Muñoz, Arnold Perez, Fabiola Angulo. Enhancing the Stability of the Switched Systems Using the Saltation Matrix. International Journal of Structural Stability and Dynamics. 2019; 19 (5):1.
Chicago/Turabian StyleJuan-Guillermo Muñoz; Arnold Perez; Fabiola Angulo. 2019. "Enhancing the Stability of the Switched Systems Using the Saltation Matrix." International Journal of Structural Stability and Dynamics 19, no. 5: 1.
Peak current-mode control is widely used in power converters and involves the use of an external compensation ramp to suppress undesired behaviors and to enhance the stability range of the Period-1 orbit. A boost converter uses an analytical expression to find a compensation ramp; however, other more complex converters do not use such an expression, and the corresponding compensation ramp must be computed using complex mechanisms. A boost-flyback converter is a power converter with coupled inductors. In addition to its high efficiency and high voltage gains, this converter reduces voltage stress acting on semiconductor devices and thus offers many benefits as a converter. This paper presents an analytical expression for computing the value of a compensation ramp for a peak current-mode controlled boost-flyback converter using its simplified model. Formula results are compared to analytical results based on a monodromy matrix with numerical results using bifurcations diagrams and with experimental results using a lab prototype of 100 W.
Juan-Guillermo Muñoz; Guillermo Gallo; Fabiola Angulo; Gustavo Osorio. Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter. Energies 2018, 11, 3000 .
AMA StyleJuan-Guillermo Muñoz, Guillermo Gallo, Fabiola Angulo, Gustavo Osorio. Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter. Energies. 2018; 11 (11):3000.
Chicago/Turabian StyleJuan-Guillermo Muñoz; Guillermo Gallo; Fabiola Angulo; Gustavo Osorio. 2018. "Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter." Energies 11, no. 11: 3000.
Power converters with coupled inductors are very promising due to the high efficiency and high voltage gain. Apart from the aforementioned advantages, the boost-flyback converter reduces the voltage stress on the semiconductors. However, to obtain good performance with high voltage gains, the controller must include two control loops (current and voltage), and a compensation ramp. One of the most used control techniques for power converters is the peak current-mode control with compensation ramp. However, in the case of a boost-flyback converter there is no mathematical expression in the literature, to compute the slope of the compensation ramp. In this paper, a formula to compute the slope of the compensation ramp is proposed in such a way that a stable period-1 orbit is obtained. This formula is based on the values of the circuit parameters, such as inductances, capacitances, input voltage, switching frequency and includes some assumptions related to internal resistances, output voltages, and some other electrical properties related with the physical construction of the circuit. The formula is verified numerically using the saltation matrix and experimentally using a test circuit.
Juan-Guillermo Muñoz; Guillermo Gallo; Fabiola Angulo; Gustavo Osorio. Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter. 2018, 1 .
AMA StyleJuan-Guillermo Muñoz, Guillermo Gallo, Fabiola Angulo, Gustavo Osorio. Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter. . 2018; ():1.
Chicago/Turabian StyleJuan-Guillermo Muñoz; Guillermo Gallo; Fabiola Angulo; Gustavo Osorio. 2018. "Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter." , no. : 1.
In this work we have presented a methodology for the hybrid simulation of DC-DC power electronic converters. This methodology only requires a description of the circuit through the incidence matrix and a control rule to generate all the needed circuit topologies in the simulation. We have performed a comparative analysis of the simulations performed with the proposed methodology and a commercial software like PLECS.
Guillermo Gallo; Juan-Guillermo Muñoz; Fabiola Angulo; Gustavo Osorio. Automatic hybrid simulation of DC-DC power electronic converters. 2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC) 2017, 1 -6.
AMA StyleGuillermo Gallo, Juan-Guillermo Muñoz, Fabiola Angulo, Gustavo Osorio. Automatic hybrid simulation of DC-DC power electronic converters. 2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC). 2017; ():1-6.
Chicago/Turabian StyleGuillermo Gallo; Juan-Guillermo Muñoz; Fabiola Angulo; Gustavo Osorio. 2017. "Automatic hybrid simulation of DC-DC power electronic converters." 2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC) , no. : 1-6.
In this work we have simulated and physically implemented a boost-flyback power converter with an average current control mode which presents two sliding dynamics. We have tested four applications to perform the simulations: NGSPICE, PSIM, PLECS, MATLAB/SIMULINK/SIMSCAPE. We have developed a program that detects the sliding dynamics and solves a Filippov field in order to avoid blockages and long simulation times. We compared our program with PSIM and obtained speed ups around 119 times. Finally, a discussion about pros and cons is presented.
Cristian Galindo; Guillermo Gallop; Juan-Guillermo Muñoz; Gustavo Osorio; Fabiola Angulo. Effects of sliding dynamics and filippov fields in the simulation of a boost-flyback power converter with an average current control mode. 2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC) 2017, 1 -5.
AMA StyleCristian Galindo, Guillermo Gallop, Juan-Guillermo Muñoz, Gustavo Osorio, Fabiola Angulo. Effects of sliding dynamics and filippov fields in the simulation of a boost-flyback power converter with an average current control mode. 2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC). 2017; ():1-5.
Chicago/Turabian StyleCristian Galindo; Guillermo Gallop; Juan-Guillermo Muñoz; Gustavo Osorio; Fabiola Angulo. 2017. "Effects of sliding dynamics and filippov fields in the simulation of a boost-flyback power converter with an average current control mode." 2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC) , no. : 1-5.
In many practical applications power Converters are designed to work in a desired operation point depending on the needs of the appliance. The ability of the system to work in that point is related to a correct dynamic analysis that eventually leads to de design of a proper control strategy. Linear model approximations are an option to design control loops, but using this kind of models the nonlinear dynamics are neglected. In this paper we propose to study a boost-flyback converter by means of the numerical analysis of the converter hybrid model. The bifurcations diagrams show that the converter exhibits coexistence of solutions when varying the coupling coefficient of the inductors. Four different coexistence scenarios are reported, including period-1, period-2 and chaotic solutions. Results for two cases of study are experimentally validated.
Juan-Guillermo Muñoz; Guillermo Gallo; Fabiola Angulo; Gustavo Osorio. Coexistence of solutions in a boost-flyback converter with current mode control. 2017 IEEE 8th Latin American Symposium on Circuits & Systems (LASCAS) 2017, 1 -4.
AMA StyleJuan-Guillermo Muñoz, Guillermo Gallo, Fabiola Angulo, Gustavo Osorio. Coexistence of solutions in a boost-flyback converter with current mode control. 2017 IEEE 8th Latin American Symposium on Circuits & Systems (LASCAS). 2017; ():1-4.
Chicago/Turabian StyleJuan-Guillermo Muñoz; Guillermo Gallo; Fabiola Angulo; Gustavo Osorio. 2017. "Coexistence of solutions in a boost-flyback converter with current mode control." 2017 IEEE 8th Latin American Symposium on Circuits & Systems (LASCAS) , no. : 1-4.
High voltage gain power converters are very important in photovoltaic applications mainly due to the low output voltage of photovoltaic arrays. This kind of power converters includes three or more semiconductor devices and four or more energy storage elements, making the dynamical analysis of the controlled system more difficult. In this paper, the boost-flyback power converter is controlled by peak-current mode with compensation ramp. The closed-loop analysis is performed to guarantee operation conditions such that a period-1 orbit is attained. The converter is considered as a piecewise linear system, and the closed-loop stability is determined by using the monodromy matrix, obtained by the composition of the saltation matrixes with the solutions of the dynamical equations in the linear intervals. The largest eigenvalue of the monodromy matrix gives the stability of the period-1 orbit, and a deep analysis using bifurcation diagrams let us reach a conclusion about the loss of the stability, which is experimentally verified. To avoid overcompensation effects, the minimum value required by the compensation ramp is obtained, and the minimum and maximum values of the load resistance are found too. The system has a good transient response under disturbances in the load and in the input voltage.
Juan-Guillermo Muñoz; Guillermo Gallo; Gustavo Osorio; Fabiola Angulo. Performance Analysis of a Peak-Current Mode Control with Compensation Ramp for a Boost-Flyback Power Converter. Journal of Control Science and Engineering 2016, 2016, 1 -14.
AMA StyleJuan-Guillermo Muñoz, Guillermo Gallo, Gustavo Osorio, Fabiola Angulo. Performance Analysis of a Peak-Current Mode Control with Compensation Ramp for a Boost-Flyback Power Converter. Journal of Control Science and Engineering. 2016; 2016 ():1-14.
Chicago/Turabian StyleJuan-Guillermo Muñoz; Guillermo Gallo; Gustavo Osorio; Fabiola Angulo. 2016. "Performance Analysis of a Peak-Current Mode Control with Compensation Ramp for a Boost-Flyback Power Converter." Journal of Control Science and Engineering 2016, no. : 1-14.
In this work, a theoretical analysis of a boost-flyback converter is presented. The open loop operation and the inner dynamics of the coupled inductors are shown. A complete mathematical model, including the internal resistances of the inductors, is presented and simulated with Matlab®. The system is handled like a finite-state machine with the transition conditions completely defined. Finally, a prototype is implemented and numerical and experimental results agree.
Frank Florez; Juan-Guillermo Muñoz; Fabiola Angulo. Modeling, simulation and experimental set-up of a boost-flyback converter. 2015 IEEE 2nd Colombian Conference on Automatic Control (CCAC) 2015, 1 -4.
AMA StyleFrank Florez, Juan-Guillermo Muñoz, Fabiola Angulo. Modeling, simulation and experimental set-up of a boost-flyback converter. 2015 IEEE 2nd Colombian Conference on Automatic Control (CCAC). 2015; ():1-4.
Chicago/Turabian StyleFrank Florez; Juan-Guillermo Muñoz; Fabiola Angulo. 2015. "Modeling, simulation and experimental set-up of a boost-flyback converter." 2015 IEEE 2nd Colombian Conference on Automatic Control (CCAC) , no. : 1-4.
This paper shows experimental results of a boost converter for power factor correction using a quasi sliding control strategy named Zero Average Dynamic (ZAD). After defining the sliding surface, the purpose is obtain a zero average error each period of a PWM control signal, through the computation of a proper duty cycle. The controller was implemented in a FPGA using a DE2-70 board from TERASIC and Quartus II for the design. The experimental setup allows the study of the dynamic behavior. A comparison between simulations and experimental results is presented.
Juan-Guillermo Muñoz; Gustavo Osorio; Fabiola Angulo. Boost converter control with ZAD for power factor correction based on FPGA. 2013 Workshop on Power Electronics and Power Quality Applications (PEPQA) 2013, 1 -5.
AMA StyleJuan-Guillermo Muñoz, Gustavo Osorio, Fabiola Angulo. Boost converter control with ZAD for power factor correction based on FPGA. 2013 Workshop on Power Electronics and Power Quality Applications (PEPQA). 2013; ():1-5.
Chicago/Turabian StyleJuan-Guillermo Muñoz; Gustavo Osorio; Fabiola Angulo. 2013. "Boost converter control with ZAD for power factor correction based on FPGA." 2013 Workshop on Power Electronics and Power Quality Applications (PEPQA) , no. : 1-5.