Angular distribution of annual collectible radiation on solar cells of CPC based photovoltaic systems

Yu, Mingjiu; Yu, Yamei; Tang, Runsheng

doi:10.1016/j.solener.2016.06.046

Cited by 9 publications

(17 citation statements)

References 28 publications

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“…In this work, CPV-θ a /θ e with θ a < 2θ e − 0.5π is investigated, and for such CPVs, radiation irradiating on plane mirrors will arrive on solar cells after one reflection as indicated by Yu et al [27]. The imaging principle of plane mirrors indicates that solar rays pointing to solar cells' image formed by a plane mirror will hit on solar cells after reflection, therefore, for θ p ≤ θ a , all radiation irradiating on the entire right mirror (BD) will strike on the solar cells after reflection (see Figure 4a); for θ a < θ p ≤ θ t , the radiation irradiating on lower part of mirror (MB) (see Figure 4b), will redirect onto the solar cells, and for θ t < θ p < θ p,c1 , the plane mirror is partially irradiated, thus only radiation irradiating on the middle part of the mirror will redirect onto the solar cells (see Figure 4c), whereas for θ p > θ p,c1 , no radiation arrives on solar cells from the plane mirror (see Figure 4d).…”

Section: Calculation Of F 2 and ηmentioning

confidence: 99%

“…The earlier work by Rabl and Winston indicated that the use of CPCs with a restricted exit angle (CPC-θ a /θ e ) can improve the photovoltaic performance of CPVs thanks to the limited solar incident/exit angle [26]. For CPC-θ a /θ e , the solar incidence angle on the absorber is limited within θ e for the radiation within its acceptance angle (θ a ), and common CPC, the one without restriction of exit angle, is a special case of CPC-θ a /θ e for θ e = 90 • [27]. An comparative study conducted by Yu et al showed that, in comparison with CPV-20/90, power output increases of 2.1%, 5.4% and 8.17% from CPV-20/65 were measured for projected incident angle θ p = 0 • , 10 • and 16 • , respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, Yu et al proposed a 2-D model to investigate the annual power output of CPV-θ a /θ e based on the angular distribution of annual collectible radiation, and found that, with increase of θ e , the annual electricity generated by E-W CPV-θ a /θ e decreased, except full CPV-θ a /θ e with the aperture's tilt-angle being yearly adjusted four times at three tilts [27]. However, the solar incident angle mentioned in the paper is the projection angle, but the efficiency of solar cells is dependent on the real solar incidence angle [28,30].…”

Section: Introductionmentioning

confidence: 99%

“…In this work, a trial is first made to suggest a mathematical procedure to find the real solar incidence angle of all radiation on solar cells of CPV-θ a /θ e for solar radiation from any direction of the sky based on three-dimensional radiation transfer within CPVs (3-D model) by means of vector algebra, convenient but powerful, solar geometry as well imaging principle of plane mirror. The objective of this work is to study the effect of θ e on the annual electricity generation from CPV-θ a /θ e as well the reasonability of the 2-D model proposed by Yu [27] for evaluating the performance of CPVs.…”

Section: Introductionmentioning

confidence: 99%

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A Three-Dimensional Radiation Transfer Model to Evaluate Performance of Compound Parabolic Concentrator-Based Photovoltaic Systems

Tang

2018

Energies

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Abstract:In the past, two-dimensional radiation transfer models (2-D models) were widely used to investigate the optical performance of linear compound parabolic concentrators (CPCs), in which the radiation transfer on the cross-section of CPC troughs is considered. However, the photovoltaic efficiency of solar cells depends on the real incidence angle instead of the projection incidence angle, thus 2-D models can't reasonably evaluate the photovoltaic performance of CPC-based photovoltaic systems (CPVs). In this work, three-dimensional radiation transfer (3-D model) within CPC-θ a /θ e , the CPC with a maximum exit angle θ e for radiation within its acceptance angle (θ a ), is investigated by means of vector algebra, solar geometry and imaging principle of plane mirror, and effects of geometry of CPV-θ a /θ e on its annual electricity generation are studied. Analysis shows that, as compared to similar photovoltaic (PV) panels, the use of CPCs makes the incident angle of solar rays on solar cells increase thus lowers the photovoltaic conversion efficiency of solar cells. Calculations show that, 2-D models can reasonably predict the optical performance of CPVs, but such models always overestimate the photovoltaic performance of CPVs, and even can't predict the variation trend of annual power output of CPV-θ a /θ e with θ e . Results show that, for full CPV-θ a /θ e with a given θ a , the annual power output increases with θ e first and then comes to a halt as θ e > 83 • , whereas for truncated CPV-θ a /θ e with a given geometric concentration (C t ), the annual power output decreases with θ e .

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Section: Calculation Of F 2 and ηmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Three-Dimensional Radiation Transfer Model to Evaluate Performance of Compound Parabolic Concentrator-Based Photovoltaic Systems

Tang

2018

Energies

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“…As literature [20] proved, Beta distribution function is used to describe solar radiation intensity as…”

Section: Pv Output Power Modelmentioning

confidence: 99%

A Multiobjective Robust Scheduling Optimization Mode for Multienergy Hybrid System Integrated by Wind Power, Solar Photovoltaic Power, and Pumped Storage Power

Zhang

et al. 2017

Mathematical Problems in Engineering

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Wind power plant (WPP), photovoltaic generators (PV), cell-gas turbine (CGT), and pumped storage power station (PHSP) are integrated into multienergy hybrid system (MEHS). Firstly, this paper presents MEHS structure and constructs a scheduling model with the objective functions of maximum economic benefit and minimum power output fluctuation. Secondly, in order to relieve the uncertainty influence of WPP and PV on system, robust stochastic theory is introduced to describe uncertainty and propose a multiobjective stochastic scheduling optimization mode by transforming constraint conditions with uncertain variables. Finally, a 9.6 MW WPP, a 6.5 MW PV, three CGT units, and an upper reservoir with 10 MW⋅h equivalent capacity are chosen as simulation system. The results show MEHS system can achieve the best operation result by using the multienergy hybrid generation characteristic. PHSP could shave peak and fill valley of load curve by optimizing pumping storage and inflowing generating behaviors based on the load supply and demand status and the available power of WPP and PV. Robust coefficients can relieve the uncertainty of WPP and PV and provide flexible scheduling decision tools for decision-makers with different risk attitudes by setting different robust coefficients, which could maximize economic benefits and minimize operation risks at the same time.

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Application of compound parabolic concentrators to solar photovoltaic conversion: A comprehensive review

Paul

2019

Int J Energy Res

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Summary The use of concentrating systems has been proposed as a way to reduce the cost of electrical energy from photovoltaic (PV) module. Since 1970s, different solar collector designs have been used to increase energy flux on the PV module. This study aims at providing a comprehensive review of development in the application of compound parabolic concentrators (CPCs) to solar photovoltaic conversion for the past five decades. By narrowing down the application of CPCs to electrical energy only gives a reader an opportunity to clearly understand the detail development stages, challenges, and research opportunities for further improvement. From this review, it has been found that during 1970s, all studies on the application of CPCs to solar photovoltaic conversion were mainly focused on establishing technical feasibility and cost effectiveness. Thereafter (1981‐May 2018), extensive studies were carried out to resolve challenges that were observed during the establishment stage. However, it has been found that even though the power output of the PV modules with the CPC was always higher than similar modules without the CPC, the values were less than the expected (theoretical) results. This was due to optical losses, series resistance losses, non‐uniform illumination effect, and high operating cell temperature effect. In addition, high cost of the PV‐CPC systems and low concentration ratio of the CPCs were also the main concerns of various researchers.

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Angular distribution of annual collectible radiation on solar cells of CPC based photovoltaic systems

Cited by 9 publications

References 28 publications

A Three-Dimensional Radiation Transfer Model to Evaluate Performance of Compound Parabolic Concentrator-Based Photovoltaic Systems

A Three-Dimensional Radiation Transfer Model to Evaluate Performance of Compound Parabolic Concentrator-Based Photovoltaic Systems

A Multiobjective Robust Scheduling Optimization Mode for Multienergy Hybrid System Integrated by Wind Power, Solar Photovoltaic Power, and Pumped Storage Power

Application of compound parabolic concentrators to solar photovoltaic conversion: A comprehensive review

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