Multivariable maximum power point tracking for photovoltaic micro-converters using extremum seeking

Ghaffari, Azad; Seshagiri, Sridhar; Krstić, Miroslav

doi:10.1016/j.conengprac.2014.11.007

Cited by 37 publications

(19 citation statements)

References 19 publications

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“…Our objective is to develop a feedback mechanism minimizing the energy consumed (E), where its nonlinear static map is known to have an extremum. We utilize the multivariable extremum seeking scheme [50][51][52][53], developed from Krstić and Wang efforts [24], in obtaining optimal values B Ã ¼ ½B Ã 1 ; …; B Ã 7 T . The extremum seeking scheme estimates the gradient of cost function defined in addition to driving it to zero.…”

Section: Multivariable Optimization Using Gradient-based Extremum Seementioning

confidence: 99%

Multivariable Extremum Seeking for Joint-Space Trajectory Optimization of a High-Degrees-of-Freedom Robot

Bagheri

Krstić

2018

Journal of Dynamic Systems, Measurement, and Control

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In this paper, a novel analytical coupled trajectory optimization of a seven degrees-of-freedom (7DOF) Baxter manipulator utilizing extremum seeking (ES) approach is presented. The robotic manipulators are used in network-based industrial units, and even homes, by expending a significant lumped amount of energy, and therefore, optimal trajectories need to be generated to address efficiency issues. These robots are typically operated for thousands of cycles resulting in a considerable cost of operation. First, coupled dynamic equations are derived using the Lagrangian method and experimentally validated to examine the accuracy of the model. Then, global design sensitivity analysis is performed to investigate the effects of changes of optimization variables on the cost function leading to select the most effective ones. We examine a discrete-time multivariable gradient-based ES scheme enforcing operational time and torque saturation constraints in order to minimize the lumped amount of energy consumed in a path given; therefore, time-energy optimization would not be the immediate focus of this research effort. The results are compared with those of a global heuristic genetic algorithm (GA) to discuss the locality/globality of optimal solutions. Finally, the optimal trajectory is experimentally implemented to be thoroughly compared with the inefficient one. The results reveal that the proposed scheme yields the minimum energy consumption in addition to overcoming the robot's jerky motion observed in an inefficient path.

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Section: Multivariable Optimization Using Gradient-based Extremum Seementioning

confidence: 99%

Multivariable Extremum Seeking for Joint-Space Trajectory Optimization of a High-Degrees-of-Freedom Robot

Bagheri

Krstić

2018

Journal of Dynamic Systems, Measurement, and Control

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“…Similar to P&O techniques, the extremum seeking (ES) algorithm employs "ad hoc" perturba-tions [4]. A multi-variable extremum seeking algorithm based on a single control loop for cascaded dc/dc photovoltaic micro-converters has been proposed in [5]. A Newton-based ES algorithm has been adopted to improve the dynamic performances of gradient-based ES in [6].…”

Section: Introductionmentioning

confidence: 99%

Three-Phase Three-Level Flying Capacitor PV Generation System with an Embedded Ripple Correlation Control MPPT Algorithm

et al. 2019

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This paper presents the implementation of a maximum power point tracking (MPPT) algorithm in a multilevel three-phase photovoltaic (PV) system using the ripple correlation control (RCC) method. Basically, RCC adopts the inherent oscillations of PV current and voltage as perturbation, and it has been predominantly used for single-phase configurations, where the oscillations correspond to the 2nd order harmonics. The implementation of an RCC-MPPT algorithm in a three-phase system has not been presented yet in the literature. In this paper, the considered three-phase three-level converter is a three-level flying capacitor (FC) inverter. The proffered RCC method uses the 3rd harmonic components of PV current and voltage for the estimation of the voltage derivative of the power dPpv/dVpv (or current, dIpv/dVpv), compelling the PV array to operate at or very close to the maximum power point. The analysis and calculation of the low-frequency PV current and voltage ripple harmonic components in the three-phase flying capacitor inverter is presented first, with reference to centered carrier-based three-level PWM. The whole grid-connected PV generation scheme has been implemented by MATLAB/Simulink, and detailed numerical simulations verified the effectiveness of the control method in both steady-state and dynamic conditions, emulating different sun irradiance transients.

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“… Since its rigorous proof was firstly given in 2 studies, the theory of extremum seeking has been highly developed in past years, including discrete‐time extremum seeking, multivariable extremum seeking, stochastic extremum seeking, and other novel viewpoints of extremum seeking . Extremum seeking has been successfully applied to many areas, such as combustion engines, thermoacoustic cooler, bioreactors, and photovoltaic microconverters …”

Section: Introductionmentioning

confidence: 99%

Overshoot‐free nonholonomic source seeking in 3‐D

Lin

Song

You

et al. 2017

Adaptive Control & Signal

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This paper studies the problem of steering a nonholonomic vehicle with a constant forward velocity to localize a source in 3-D. Of two existing 3-D source-seeking strategies, one causes overshoots of the vehicle around the source while the other shows slow convergence rate in approaching the source. We propose a composite of these 2 control strategies to achieve a balanced performance by taking advantage of both strategies. Moreover, we prove local exponential stability for a static spherical signal map using averaging and describe the influence of the parameters using root locus method. Simulation results further validate the effectiveness and advantages of the combined strategy.

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Multivariable maximum power point tracking for photovoltaic micro-converters using extremum seeking

Cited by 37 publications

References 19 publications

Multivariable Extremum Seeking for Joint-Space Trajectory Optimization of a High-Degrees-of-Freedom Robot

Multivariable Extremum Seeking for Joint-Space Trajectory Optimization of a High-Degrees-of-Freedom Robot

Three-Phase Three-Level Flying Capacitor PV Generation System with an Embedded Ripple Correlation Control MPPT Algorithm

Overshoot‐free nonholonomic source seeking in 3‐D

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