Efficiency Optimization of a 7-Switch Flying Capacitor Buck Converter Power Stage IC Using Simulation and Geometric Programming

Stupar, Andrija; Halamicek, Michael; Moiannou, Tom; Prodić, Aleksandar; Taylor, Joshua A.

doi:10.1109/compel.2018.8459935

Cited by 9 publications

(10 citation statements)

References 15 publications

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“…The function models, f 1 , ..., f 7 , in (23) will be represented in posynomial form, with respect to the design variables, to perform the GP optimization. efficiency and the total installation cost are calculated from (23) as:…”

Section: A System Modelingmentioning

confidence: 99%

Levelized Cost of Energy-Oriented Modular String Inverter Design Optimization for PV Generation System Using Geometric Programming

et al. 2022

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Levelized cost of energy (LCOE) is a commonly used metric to assess the cost-to-benefit ratio over the lifetime of an energy resource such as photovoltaics (PV). However, power electronics engineers tend to rely on metrics such as efficiency and power density which do not guarantee lifetime cost optimality. Recent work has shown that an LCOE-focused optimization approach can yield improved system designs, leading to improved lifetime performance with balanced lifetime cost and energy generation. This paper outlines an LCOE optimization framework for PV power electronics that uses geometric programming. The large number of circuit parameters and nonlinear nature of the system equations pose significant barriers. Our approach allows for decoupling of design variables which in turn enables superior computational efficiency and a near-optimal solution. By incorporating the power electronics design process and magnetic loss mechanism into the convex design framework, the optimization engine yields practically implementable parameters for a PV converter that minimizes LCOE. An optimization example for a cascaded modular PV inverter architecture is presented that suggests 3.35% LCOE improvement can be achieved by the new power electronics and the advanced optimization. The proposed optimization framework can be applied to other power generation systems to evaluate the effect of the power electronics design on system lifetime costs and efficiency.INDEX TERMS Convex optimization, geometric programming, levelized cost of energy, lifetime energy cost, magnetic loss modeling, solar inverters, modular multilevel converter.

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Section: A System Modelingmentioning

confidence: 99%

Levelized Cost of Energy-Oriented Modular String Inverter Design Optimization for PV Generation System Using Geometric Programming

et al. 2022

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“…After such a transformation, the function presents a linear and convex behavior, which guarantees the existence of only one global optimized point. In the next sections we will show that the multi-objective optimization of an inductor aiming at finding the trade-off between power losses and volume, can be quickly solved as long as the formulation is a GP-valid problem [10].…”

Section: Geometric Programmingmentioning

confidence: 99%

Optimal Design of Inductors Based on Homothetic Shape and using Geometric Programming

Zapata

Meynard

2019

2019 21st European Conference on Power Electronics and Applications (EPE '19 ECCE Europe)

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The efficiency and power density of a converter are two major characteristics but they are antagonists so the designer has to find a tadeoff between them. This is generally formulated as a multi-objective optimization problem giving a pareto front, and it can be encoutered at the system level, at subsystem level or even at the component level. In general the formulation needs to be different at each level because optimization algorithms are not robust enough and cannot guarantee convergence on large scale problems. This paper proposes a design method for inductors, using a mathematical formalism known as Geometric Programming (GP) that gives strong guarantees of convergence whatever the size of the problem. The design model describes objective and constraint functions using monomials and posynomials to comply with GP rules and works with homothetic shapes. A first formulation using continuous parameters allows selecting the region of operation and provides a good estimate of attainable size and losses, then a second formulation shows how to truncate parameters that need to be discrete values to obtain feasible objects (integer number of turns, discrete core size,) and account for non linear permeability. An evaluation case is presented to test the performance of the proposed algorithm. Last, a finite element analysis is included to account for some non linearities such as fringing and proximity effects, and improve the design accuracy. Because of the GP formulation, it should be possible in future work to use such an inductor model for sub-system level optimization (for example 2nd or 4th order filter) and still guarantee convergence towards a global optimum.

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“…Recently it has been shown [1], [2], [3], [4], [5], that geometric programming [6], a class of convex optimization problems, can be used to accurately and quickly optimize power converters for multiple objectives. There are two main advantages of using this approach.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, in order to model a power converter as a GP, each component in the system must be modeled using posynomial functions. As shown in [2], [4], [5], semiconductor models are often already in posynomial form or can be manipulated to be in posynomial form in a relatively straightforward manner. Accurate models of magnetic models, such as those in [7], [8], are more difficult to put into posynomial form.…”

Section: Introductionmentioning

confidence: 99%

“…Accurate models of magnetic models, such as those in [7], [8], are more difficult to put into posynomial form. In [1], [4], comprehensive posynomial models of inductors were not considered. In [2], [5], low-power SMD inductors were considered and modeled in an application-specific way, with a posynomial model that is appropriate to the converters considered for optimization within the operating range envisioned for the studied application.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Generation and Derivation of Practical Optimization-Oriented Models of Inductors

Stupar

Flumian

Gouedard

et al. 2019

2019 20th Workshop on Control and Modeling for Power Electronics (COMPEL)

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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Efficiency Optimization of a 7-Switch Flying Capacitor Buck Converter Power Stage IC Using Simulation and Geometric Programming

Cited by 9 publications

References 15 publications

Levelized Cost of Energy-Oriented Modular String Inverter Design Optimization for PV Generation System Using Geometric Programming

Levelized Cost of Energy-Oriented Modular String Inverter Design Optimization for PV Generation System Using Geometric Programming

Optimal Design of Inductors Based on Homothetic Shape and using Geometric Programming

Generation and Derivation of Practical Optimization-Oriented Models of Inductors

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