DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis
Source abstract
Abstract
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.
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Research context
OpenAlex topics: Advanced DC-DC Converters · Microgrid Control and Optimization · Multilevel Inverters and Converters
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Affiliations
Grupo de Modelado Computacional—Dinámica y Complejidad de Sistemas, Instituto de Matemáticas Aplicadas, Universidad de Cartagena, Carrera 6 # 36-100, Cartagena de Indias 130001, Colombia
Facultad de Ingeniería y Arquitectura, Departamento de Ingeniería Eléctrica, Electrónica y Computación, Percepción y Control Inteligente—Bloque Q, Universidad Nacional de Colombia—Sede Manizales, Campus La Nubia, Manizales 170003, Colombia
Instituto Tecnológico Metropolitano, Calle 54A # 30-01, Barrio Boston, Medellín 050013, Colombia
Funding
Universidad Nacional de Colombia · Universidad de Cartagena, Vicerrectoria de Investigaciones
References (62)
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