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研究生: 葉承恩
Ye, Cheng-En
論文名稱: 基於互補式數獨布局之靜態重組電路與功率損耗指標以改善部分遮蔽太陽能系統之研究
Design of a Static Reconfiguration Circuit Based on Complementary SuDoKu Puzzle Topology and Power Loss Estimation Indexes for Photovoltaic System under Partial Shading Conditions
指導教授: 戴政祺
Tai, Cheng-Chi
學位類別: 博士
Doctor
系所名稱: 電機資訊學院 - 電機工程學系
Department of Electrical Engineering
論文出版年: 2023
畢業學年度: 112
語文別: 英文
論文頁數: 72
中文關鍵詞: 太陽能部分遮蔽靜態重組電路陰影分散功率損耗估算指標
外文關鍵詞: Solar energy, photovoltaic, partial shading conditions, static reconfiguration, SuDoKu puzzle, shade dispersion, power loss evaluation
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  • 近年來,太陽能被廣泛的應用,且具有可再生、環保、可靠性高等優點。然而太陽能系統功率輸出易受到照度影響,當太陽能陣列中各個模組被遮蔽或接收到不同光照強度時,太陽能模組會產生不同的電流大小,發生串聯電流不匹配的現象而導致功率損耗以及增加太陽能系統輸出功率-電壓曲線的複雜度,此現象被稱為部分遮蔽效應。為降低部分效應所造成的影響,有許多靜態重組電路技術被提出,藉由改變太陽能陣列串並聯接線以分散陰影效應,而降低串聯電流不匹配造成之損耗,並提升系統功率輸出。
    本論文旨在研究太陽能靜態重組電路技術,藉由設計創新之互補式數獨法、改良式互補式數獨法、以及功率損耗估算指標,以研製最佳效能並具擴充性之太陽能靜態重組電路系統。首先,部分遮蔽常見的陰影分佈為角落陰影模式,本論文中的互補式數獨法特別設計互補式對角線排列規則,以減輕太陽能陣列中常見的角落陰影模式。為了驗證和比較互補式數獨法的性能,本論文設計六種常見部分遮蔽情況以及比較其他四種靜態重組電路技術。驗證結果顯示互補式數獨法在這五種靜態重組電路技術中,具有最低的平均功率損耗以及最高的平均功率改善。此外,當互補式數獨法和原本的全跨接接線方式做比較,互補式數獨法的平均功率輸出可以提升14.6%。尤其在角落陰影模式下可以提升18.69的平均功率輸出。
    本論文為了進一步探討互補式數獨法擴充性之問題,將互補式數獨法應用於8 × 8太陽能陣列,從實驗結果觀察出,互補式數獨法在角落陰影模式依然表現優異,但在中央陰影模式下時,互補式數獨法陰影分散效果不佳相較於其他靜態重組方法。為了進一步改善中央陰影模式下的分散效果,本論文提出改良式互補式數獨法。改良式互補式數獨法結合優化數獨法中的排列規則以及互補式數獨法中互補式對角線排列規則,結合此兩種數獨法的規則並改良規則,以改善太陽能陣列中常見的中心陰影和角落陰影模式。為了驗證和比較改良式互補式數獨法的性能,本論文設計九種常見部分遮蔽情況以及比較其他四種靜態重組電路技術。從驗證結果可以得知,在中央陰影模式下,改良式互補式數獨法比互補式數獨法提升14.62%的平均功率輸出。此外,改良式互補式數獨法在這五種靜態重組電路技術中,具有最低的平均功率損耗以及最高的平均功率改善。驗證結果證明改良式互補式數獨法在減輕中央和角落陰影效應的有效性。在本論文提出的改良式互補式數獨法具有提高功率輸出、降低列電流失配損耗、提高陰影分散能力並具有良好的可擴展性之優點。
    最後,本論文從太陽能電路模型方程式中,推導出兩種功率損耗估算指標應用於靜態重組電路技術性能比較。驗證結果證明此兩種功率損耗估算指標和實際功率損耗具有高度的相關性(r2 = 0.9655 and 0.9590)。因此,此兩種功率損耗估算指標是一種潛在的診斷工具,有助於分析部分遮蔽對太陽能陣列性能的不利影響,並可用於初步評估不同重組電路策略之功效。

    Solar energy has become increasingly popular in recent years. It is a renewable, eco-friendly, and maintenance-free energy source. However, the power output of a photovoltaic (PV) array can vary greatly depending on environmental conditions such as irradiance and temperature variations. For example, when each individual module of a PV array receives a different level of irradiance, this is called partial shading conditions (PSCs). PSCs can cause current mismatches, power losses, and complexity in the power-voltage curve. To address these issues, numerous static reconfiguration methods have been proposed that modify the hardware circuit connections.
    In this dissertation, a complementary SuDoKu puzzle (CSDKP) and modified complementary SuDoKu puzzle (MC-SDKP) topologies are proposed to further enhance the output power of PV arrays under partial shading conditions (PSCs) and simplify the arrangement of the topology based on the static reconfiguration circuit for a PV array. Additionally, two novel performance-evaluation indexes are proposed for the performance comparison of the topologies. In the CSDKP topology, an especially-designed complementary diagonal circuit arrangement is used to mitigate the common corner-shading patterns in a PV array, which are typically caused by the direction of sunlight or mutual module shadings. For validation, six PSC patterns are considered, and the output of a PV array configured using the proposed CSDKP topology is evaluated and compared with four other topologies. The evaluation results demonstrated that the CSDKP topology offered the lowest averaged power loss (12.86%) and the highest averaged maximum-power improvement (14.6%) among the five topologies. When compared with the benchmark total cross-tied (TCT) topology under these shading pattern conditions, the average power output of the array using the CSDKP topology improved by approximately 14.6%. Additionally, the CSDKP topology had the better average power output under the other four corner-shading patterns, with approximately an 18.9% maximum-power improvement when compared with the TCT benchmark.
    To further discuss the scalability of the CSDKP, the topology was expanded to an 8 × 8 PV array. Experimental results showed that the CSDKP can improve power output and reduce mismatch losses under corner shading, but it may not be as effective as other topologies under center shading. To disperse cases of both center shading and corner shading, the MC-SDKP technique modified and combined the Optimal SDKP and CSDKP topologies. An 8 × 8 PV array configured with the MC-SDKP topology was exposed to nine different shading cases, and its performance was compared with that of the other four topologies. The performance evaluation results confirmed that the PV array produced the highest average power output when configured according to the MC-SDKP topology. The PV array with the MC-SDKP topology also exhibited the lowest average power loss (1.34%). Additionally, the MC-SDKP topology had the better average power output under the center-shading patterns, with approximately a 14.62% average maximum-power improvement when compared with the CSDKP topology. This study clearly established the effectiveness of the MC-SDKP topology at mitigating the effects of both center and corner shading. The advantages of the MC-SDKP static reconfiguration technique are: an increase in extracted power, a reduction in current mismatch losses, an improvement in shade dispersion, and good scalability.
    Two novel performance-evaluation indexes are proposed in this dissertation for the performance comparison of the topologies. Based on the evaluation results, the two proposed indexes approximately evaluated the power loss of a PV array with high correlation coefficients (r2 = 0.9655 and 0.9590). These indexes calculate the current differences and roughly estimate the group module power losses. As a result, the two power loss estimation indexes are a potential diagnostic tool that could help in the analysis of the adverse impact of partial shading conditions (PSCs) on the performance of the PV array. In addition, the two indexes could be used for the preliminary assessment of the performance of different reconfiguration circuit strategies.

    摘 要 I Abstract III 誌謝 VI Contents VII Figure Captions IX Table Captions XI Chapter 1 Introduction 1 1.1 Research background 1 1.2 Motivation 5 1.3 Organization of dissertation 6 Chapter 2 Methodology 8 2.1 Circuit model of a PV array 8 2.2 Power-loss estimation indexes 11 2.3 Calculation of row current 15 2.4 Circuit layout arrangement based on CSDKP topology 16 2.5 Circuit layout arrangement based on MC-SDKP topology 18 Chapter 3 Performance evaluation 21 3.1 Performance evaluation for the CSDKP topology 21 3.1.1 Experimental Setup for the CSDKP topology 21 3.1.2 Performance evaluation results for the topologies 25 3.1.3. Comparison of the performance-evaluation indexes 29 3.2 Performance evaluation for the MC-SDKP topology 32 3.2.1 Experimental Setup for the MC-SDKP topology 32 3.2.2 Estimated results for the topologies 33 3.2.3 Performance evaluation results for the topologies 36 3.2.4 Comparison of the P-V curves for the five topologies 38 Chapter 4 Discussion 40 4.1 Discussion for the CSDKP topology 40 4.1.1 Effects of between-module differences in irradiation and temperature 40 4.1.2 Energy-savings and income generation analysis 43 4.2 Discussion for the MC-SDKP topology 45 Chapter 5 Conclusion 48 References 50 Appendix 56

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