獨立型太陽光發電系統的太陽電池匹配設計與充電增強技術研究

୯ҥᆵ᡼εᏢπᏢଣᐒఓπำᏢس ᅺγፕЎ

Department of Mechanical Engineering College of Engineering

National Taiwan University Master Thesis

ᐱҥࠠϼ໚Ӏวႝس಍ޑϼ໚ႝԣϰଛ೛ीᆶкႝቚ மמೌࣴز

PV selection and battery charging enhancement of independent solar power system

Цੀ៾

Wang, Tai-Chiuan

ࡰᏤ௲௤Ǻ໳ޚ໋ ௲௤

Advisor: Huang, Bin-Juine

ύ๮҇୯ 103 ԃ 7 Д July, 2014

ᇞᖴ

ӧ೭ᅺγ೭ٿԃ္ᇥߏόߏǵᇥอΨόอǴՠ܌

࿶ᐕၸޑ؂΋ҹ٣ᆶ؂΋ঁΓ೿ుుቹៜך۳ࡕޑགྷ ݤᆶว৖ǶLab106 ࢂঁߚத੝ձޑჴᡍ࠻ǴٿԃΠ

ٰӵಥजඤମ૓ޑԋߏǴ೭ाགᖴჴᡍ࠻࿶ԃಕД܌

໺܍Πٰޑ໺಍Ǵགᖴ؂ঁჴᡍ࠻ޑԋ঩ჹ೭ঁ໺಍

ޑᒥൻᆶᇡӕǶ

གᖴ໳ޚ໋ԴৣׯᡂΑךޑᏢಞᄊࡋᆶ଺ࣴزޑ གྷݤǴࡌҥଆ੿҅ՖᒏԖჴ፦ਏ੻ޑࣴزǴԶߚ౜ӧ Ꮲೌ໻གྷ຾Չёа׫ዺԶคჴ፦ԋ݀ޑࣴزǹགᖴჴ ᡍ࠻ύޑ؂Տᇡ੿ޑᏢ׌Ǵ໳ԓ଻ǵЦࡌඵǵЦ᝿

ᗶǵጰےᑣаϷഋ࠶ϘǴҺമҺ࡜ǵڐշᏢߏϩᏼᚇ ٣ǹќѦ੝ձགᖴ೚դ୲ǵಷຽֻǵ஭г݅Ꮲߏӧࣴ

ز΢ޑڐշǹགᖴӕۛޑᎄֻࡏǵᎄγሺǵ݅଻૦ǵ

஭ՙҺӕᏢǴᗨฅךЍජޑ೽ϩКၨӭǴᡣךჴᡍό

཮คಠǹനࡕགᖴᏢۂߋ▲ౝǴᡣࣴزғࢲόԿܭϼ ၸᝄ๘Ƕ

ᐱҥࠠϼ໚Ӏวႝس಍ޑϼ໚ႝԣϰଛ೛ीᆶкႝቚ மמೌࣴز

Цੀ៾* ໳ޚ໋**

୯ҥᆵ᡼εᏢ ᐒఓπำࣴز܌

ύЎᄔा

ҁࣴزࡰӧճҔႝ৒ᆶ᎖ႝԣ٠ᖄǴ٠ᖄௗϼ໚ٰ݈຾ՉкႝࣴزǴЬा

׆ఈૈ೸ၸ೭ኬޑБԄٰቚமϼ໚ૈ݈᎖ႝԣкႝޑวႝໆǴගଯкႝޑ܄

ૈǴࣴزϣ৒х֖Α᎖ႝԣޑ୏ᄊኳࠠϐس಍᛽ձǵၸѐࣴزЎ᝘ኳᔕКၨϩ

݋ǵаϷЊѦჴሞෳ၂Кჹϩ݋Ƕ

ӧࣴزύΨගрΑଞჹ nMPPO س಍ϰଛޑ܄ૈࡰ኱Ǵаڐշӧ຾Չ nMPPOس಍ϰଛϐϼ໚ૈ݈ᑔᒧਔޑ٩ᏵǶ٠೸ၸ೭܄ૈࡰ኱໒วΑ΋঺კࠠ

ϯ٬Ҕޣϟय़Ǵᡣӧ຾Չϼ໚ૈ݈ᑔᒧਔૈ׳уזೲᆶКჹǶനࡕӧ೸ၸЊѦ ჴᡍǴࡌҥ MPPT ᆶ nMPPO ٿ঺س಍຾ՉКჹෳ၂Ǵჴᡍ่݀ᡉҢǴnMPPO ޑวႝਏ౗നեޑ௃ݩ໻եܭ MPPT س಍Π 5%ѰѓǴԶӧଯಕᑈวႝໆޑ௃

ݩǴnMPPO س಍ޑวႝਏ౗ϸԶ཮ຬຫ MPPT س಍ޑวႝਏ౗Ƕ

________________

PV selection and battery charging enhancement of independent solar power system

Wang, Tai-Chiuan* Huang, Bin-Juine**

Department of Mechanical Engineering National Taiwan Universuty

Abstract

The research focuses on how to enhance charge performance of PV power generation system, for use in independent solar power system. Investigates increasing energy storage of PV power generation system by paralleling capacitor. Outdoor experimental results indicate that lithium battery in parallel capacitor system can improve the charge efficiency of PV power generation system. Then use effects of changes in radiation to explain why paralleling capacitor can improve the charge efficiency.

In the research also proposed to explore nMPPO matching system performance to help match making system based nMPPO screening of the solar panels.

Performance indicators through which developed a graphical user interface, making solar panels so that screening can be more quickly and comparison. Finally, through the outdoor experiments

_______________

* Graduate student

** Adviser

Ҟᒵ

ᇞᖴ... II ύЎᄔा...IV Abstract ... V Ҟᒵ...VI კҞᒵ... VIII ߄Ҟᒵ... XII

ಃ΋ക ᆣፕ...1

߻ق...1

Ў᝘ӣ៝...3

ࣴزϣ৒...14

ಃΒക ᐱҥࠠϼ໚ૈวႝس಍೛ीϰଛࣴز...15

߈നεф౗ᗺᏹբ୷ҁচ౛...15

ᐱҥࠠϼ໚ૈวႝس಍ nMPPO ϩ݋ϰଛ...17

ϼ໚ૈኳಔኳࠠᆶჴᡍКჹ...21

nMPPOس಍ϰଛ೛ी೬ᡏ...24

nMPPOჴᡍᡍ᛾...31

ಃΟക ᎖ႝԣ୏ᄊس಍᛽ձ...44

ϼ໚ૈ݈ኳಔኧᏢኳࠠ...44

᎖ႝԣ୏ᄊኳࠠᆶس಍᛽ձ...45

ಃѤക ᎖ႝԣ٠ᖄႝ৒ϐϼ໚ૈкႝቚமϩ݋...51

᎖ႝԣ٠ᖄႝ৒ϐϼ໚ૈкႝس಍ኳࠠ...51

᎖ႝԣ٠ᖄႝ৒ϐϼ໚ૈкႝس಍ኳᔕ...57

ჴᡍ೛ी...65

ಃϤക ૸ፕǵ่ፕᆶ҂ٰ৖ఈ...79

6.1 ૸ፕᆶ่ፕ...79

6.2 ҂ٰ৖ఈ...81

ୖԵЎ᝘...82

კҞᒵ

კ 1.1. 1 2004 ԃӄౚૈྍ٬ҔКٯ...1

კ 1.2. 1 ϼ໚ૈ݈੝܄Ԕጕ...4

კ 1.2. 2 ΟࢤԄкႝ...5

კ 1.2. 3 ൂВ߄౜Кၨ...7

კ 1.2. 4 ຬભႝ৒ߏਔ໔Кၨෳ၂ 58F ᆶ 288F ...7

კ 1.2. 5 คຬભႝ৒ϐวႝໆ...8

კ 1.2. 6 ϼ໚ૈวႝໆᆶຬભႝ৒ϐ৒ໆ٬Ҕ...8

კ 1.2. 7 ϼ໚ૈวႝໆ VS ຬભႝ৒৒ໆ ...9

კ 1.2. 8 ߏයКၨෳ၂่݀...9

კ 1.2. 9 ϼ໚ૈวႝس಍ਏ౗Кၨෳ၂...10

კ 1.2. 10 ᆽႝԣس಍ᕴϣߔ...10

კ 1.2. 11Phase 2 кႝ Duty cycle ߄౜... 11

კ 1.2. 12 ϼ໚ૈวႝКၨ(2011/2/22)... 11

კ 1.2. 13 ϼ໚ૈวႝКၨ(2011/2/22)...12

კ 1.2. 14 س಍ᕴ฻ਏႝߔКၨ(2011/2/28)...12

კ 1.2. 15 س಍ᕴ฻ਏႝߔК(2011/2/22)...13

კ 2.1. 1 NSP 45^oCϼ໚ૈ݈ႝᓸ-ႝࢬ੝܄Ԕጕ ...15

კ 2.1. 2 NSP 45^oCϼ໚ૈ݈ႝᓸ-ф౗੝܄Ԕጕ ...16

კ 2.2. 1 ϼ໚ૈ݈ϐႝᓸ-ф౗੝܄Ԕጕᆶᆽႝԣႝᓸᏹբጄൎᜢ߯კ ...20

კ 2.3. 1 ϼ໚ૈ݈฻ਏႝၡ...21

კ 2.3. 2 ϼ໚ૈ݈ϐ Simulink Block diagram ...23

კ 2.4. 2 ϼ໚ૈ݈ୖኧ೛ۓϟय़...26

კ 2.4. 3 ᆽႝԣкႝႝᓸϐᏹբጄൎ...27

კ 2.4. 4 nMPPO ϐس಍ϰଛीᆉ่݀ᡉҢϟय़...28

კ 2.4. 5 ܄ૈࡰ኱ᓯӸ...28

კ 2.4. 6 Ѥᅿϼ໚ૈ݈ϐೕ਱...29

კ 2.5. 1 nMPPO ᡍ᛾ჴᡍϐس಍ࢎᄬ...31

კ 2.5. 2 NSP245W Кჹෳ၂-྽Вᕓਔวႝໆ ...33

კ 2.5. 3 NSP245 ϐ nMPPO ࣬ჹܭ MPP วႝਏ౗ ...34

კ 2.5. 4 NSP245 ϐ MPPT ᆶ nMPPO ᕓਔวႝКၨ...34

კ 2.5. 5 NSP245W ೱុѤϺޑಕᑈวႝໆ ...35

კ 2.5. 6 PCM130W Кჹෳ၂-྽Вᕓਔวႝໆ ...36

კ 2.5. 7 PCM130 ϐ nMPPO ࣬ჹܭ MPP วႝਏ౗ ...36

კ 2.5. 8 PCM130 ϐ MPPT ᆶ nMPPO ᕓਔวႝКၨ...37

კ 2.5. 9 PCM130 ϐಕᑈวႝໆཞѨ ...37

კ 2.5. 10 ASEC130W Кჹෳ၂-྽Вᕓਔวႝໆ ...39

კ 2.5. 11 ASEC130 ϐ nMPPO ࣬ჹܭ MPP วႝਏ౗...39

კ 2.5. 12 PCM130 ϐ MPPT ᆶ nMPPO ᕓਔวႝКၨ...40

კ 2.5. 13 ASEC130 ϐಕᑈวႝໆཞѨ...40

კ 2.5. 14 PCM60W Кჹෳ၂-྽Вᕓਔวႝໆ ...42

კ 2.5. 15 PCM60 ϐ nMPPO ࣬ჹܭ MPP วႝਏ౗ ...42

კ 2.5. 16 PCM60 ϐ MPPT ᆶ nMPPO ᕓਔวႝКၨ...43

კ 2.5. 17 PCM60 ϐಕᑈวႝໆཞѨ ...43

კ 3.2. 1 ᎖ႝԣϐ฻ਏႝၡኳࠠ...45

კ 3.2. 2 PCT ჴᡍइᒵᏔ ...46

კ 3.2. 3 PSI15Ah ᎖ႝԣ...46

კ 3.2. 5 PCT ჴᡍ่݀ϐႝᓸᡂϯ ...47

კ 3.2. 6 PCT ჴᡍϐ SOC 50%ႝᓸᡂϯ ...48

კ 3.2. 7 όӕ SOC Πޑ᎖ႝԣႝᓸᡂ੝܄Ԕጕ...48

კ 3.2. 8 όӕ SOC ޑ OCV ᆶ Rs...49

კ 3.2. 9 όӕ SOC Πޑ R1ǵC1...50

კ 3.2. 10 όӕ SOC Πޑ R2ǵC2...50

კ 4.1. 1 SOC ϐ Simulink Block diagram ...51

კ 4.1. 2 OCV ϐ Simulink Block diagram...52

კ 4.1. 3 RC ฻ਏႝၡኳࠠϐ Simulink Block diagram (1) ...52

კ 4.1. 4 RC ฻ਏႝၡኳࠠϐ Simulink Block diagram (2) ...53

კ 4.1. 5 όӕ SOC Πޑ Vsϐ Simulink Block diagram...53

კ 4.1. 6 ᎖ႝԣֹ᏾ simulink block diagram...54

კ 4.1. 7 ᎖ႝԣኳಔϐ Simulink Block diagram ...55

კ 4.1. 8 кႝቚமس಍ Simulink Block diagram ...55

კ 4.1. 9 ϼ໚ૈ݈ Simulink Block Diagram ...55

კ 4.1. 10 ϼ໚ૈቚமس಍ϐ Simulink Block Diagram ...56

კ 4.2. 1 ᎖ႝԣ޻ኳᔕԔጕᆶჴሞෳ၂Кၨკ...57

კ 4.2. 2 PSI 24V30Ah ᎖ႝԣኳಔ ...58

კ 4.2. 3 ᎖ႝԣኳಔኳᔕᆶჴሞԔጕკ...58

კ 4.2. 4 2013/6/2 ᎖ႝԣϐϼ໚ૈس಍ኳᔕᆶჴᡍ่݀Кၨ ...59

კ 4.3. 1 ϼ໚ૈ݈ӧ᎖ႝԣ৒ໆ 30Ah Πวႝਏ౗...60

კ 4.3. 2 2014/6/1 ኧᏵКၨ ...62

კ 4.3. 3 2014/6/2 ኧᏵКၨ ...62

კ 5.1. 1 кܫႝ௓ڋᏔ i-sCon2...65

კ 5.1. 2 кܫႝ௓ڋᏔϐႝတೱጕ೬ᡏ...66

კ 5.1. 3 ௓ڋᏔޑس಍ PID ӣ௤Б༧კ ...66

კ 5.1. 4 इᒵᏔ...67

კ 5.1. 5 ஑ҔइᒵᏔϐႝတೱጕ೬ᡏ...67

კ 5.1. 6 50V22000uF ႝှႝ৒ ...68

კ 5.1. 7 PSI 24V30Ah ᎖ႝԣኳಔ ...68

კ 5.1. 8 NSP ϼ໚ૈ݈ ...69

კ 5.1. 9 ഛનᐩ(֖ᐩ০)...70

კ 5.1. 10 кႝቚமמೌϐس಍ࢎᄬ...70

კ 5.2. 1 2014/6/2 ...71

კ 5.2. 2 2014/6/3 ...71

კ 5.2. 3 2014/6/4 ...72

კ 5.2. 4 2014/6/5 ...72

კ 5.2. 5 2014/6/6 ...73

კ 5.2. 6 2014/6/7 ...73

კ 5.2. 7 2014/6/8 ...73

კ 5.2. 8 2014/6/9 ...74

კ 5.2. 9 2014/6/10 ...74

კ 5.2. 10 2014/6/11 ...75

კ 5.2. 11 2014/6/12 ...75

კ 5.2. 12 2014/6/13 ...75

კ 5.2. 13 2014/6/14 ...76

კ 5.2. 14 Strengthen س಍࣬ჹܭ Normal س಍ϐวႝໆቚ੻კ ...77

߄Ҟᒵ

߄ 2.4. 1 όӕೕ਱ϼ໚ૈ݈ޑ܄ૈࡰ኱... 29

߄ 2.5. 1 NSP245 ϼ໚ૈ݈ೕ਱ ... 33

߄ 2.5. 2 ࣽ॥ 130W ϼ໚ૈ݈ೕ਱߄ ... 36

߄ 2.5. 3 ASEC130 ϼ໚ૈ݈ೕ਱... 38

߄ 2.5. 4 PCM60 ϼ໚ૈ݈ೕ਱ ... 41

߄ 3.2. 1 όӕ SOC Π᎖ႝԣϣ೽ୖኧॶ ... 49

߄ 4.3. 1 30Ah ᎖ႝԣ؂Вวႝໆǵᒟ৔ໆᆶวႝਏ౗ ... 61

߄ 4.3. 2 ่݀Кၨ߄... 64

߄ 4.3. 1 30Ah ᎖ႝԣ؂Вวႝໆǵᒟ৔ໆᆶวႝਏ౗ ... 61

߄ 4.3. 2 ่݀Кၨ߄... 64

߄ 5.1. 1 NSP245 ೕ਱ ... 69

߄ 5.2. 1 Cap ࣬ჹܭ No-Cap س಍ϐวႝໆቚ੻ ... 77

ಃ΋കġ ᆣፕ

߻ق

٩Ᏽ 1997 ԃಃΟۛ٧೿୯ሞᕉߥ཮᝼(COP3)่ፕǴ2002~2012 ԃ 10 ԃ ໔ǴΒ਼ϯᅹ฻ྕ࠻਻ᡏ௨ܫໆሡ೴ԃ෧Ͽ 6%(ᆶ 1990 ԃК)ǴωૈԖਏ෧጗

Ӧౚཪϯ܌஥ٰޑઇᚯǶाགྷ଺ډ೭΋ᗺǴѸ໪໒วཥૈྍǴځύ२ᒧޑࢂϼ

໚ૈک॥ૈǶ

ϼ໚ૈࢂӦౚനӭޑૈྍǴډၲε਻୮Ѧޑϼ໚Ӏமࡋࣁ 1.38kW/m²Ǵځ ύԖ 30%ӛӹۖϸ৔ǴූᎩޑ 70%ёډၲӦౚǶϼ໚ޑტڮᏵ௢ᆉၲ൳Μሹ ԃǴ܌аϼ໚ૈёᆀࣁคጁεૈྍǶਥᏵၗ਑಍ीǴ2004 ԃӄౚ٬Ҕႝໆࣁ 0.471 ZJ (Z = 10²¹)ǴԶ؂΋ԃёճҔϼ໚ૈࣁ 3850 ZJǴඤقϐǴӵஒ΋ԃϐϼ

໚ૈӄ೽ԏ໣Ǵёᡣӄ೽Γᜪ٬Ҕ 8,000 ԃǶฅԶǴ[1][2]౜ϞΓᜪϝฅаྡǴ Ϻฅ਻Ǵਡૈ฻ૈྍࣁЬाวႝٰྍǴ2004 ԃӄౚૈྍ٬ҔКٯǴӵკ 1.1.1Ƕ ӢԜӵՖࣴز໒วϼ໚ૈޑၮҔǴа࿯࣪౜ԖᓯӸૈྍޑ੃઻ࢂߚதख़ाޑ ٣Ƕ

კ 1.1. 1 2004 ԃӄౚૈྍ٬ҔКٯ

ϼ໚ૈวႝس಍ёϩࣁషӝǵٳᖄᆶᐱҥΟεᜪࠠǶషӝࠠࢂϼૈႝԣว

ႝس಍ᆶځдวႝس಍ٳᖄམଛ٬ҔǴ೯தးԖᆽႝԣǴதբࣁٛؠࠠႝΚس

2004ԃӄౚૈྍ٬ҔКٯ

Gas 23.18%

Coal 25.19%

Oil 37.28%

Nuclear 6.05%

Others 0.75%

Biomass 4%

Hydro3%

Solar heat 0.50%

Oil Coal Gas Nuclear Biomass Hydro

ૈႝԣวႝس಍ҔЊԖӭᎩႝΚǴёӣଌډѱႝǴϸϐ߾җѱႝٮᔈႝΚǶᐱ ҥࠠࢂࡰ҂ᆶځдႝΚᆛ܈วႝಔٳᖄޑϼ໚ૈႝԣวႝس಍Ǵத٬ҔܭϦӅ

ႝΚᆛ(ѱႝ)คݤډၲϐೀǴӵଯξ܈؅ᅃ฻ǶӢᐱҥࠠϼ໚ૈس಍όڙႝᆛ ޑቹៜǴࣁനӼӄޑٮႝس಍ǴЪӧ೚ӭ੝ਸޑ൑ӝǴӵᆙ࡚ᔈҔϐ೯ૻǵྣ

ܴǵٮНᆶ๏ݨ฻฻Ǵᐱҥࠠϼ໚ૈวႝس಍ڀԖᓬ༈ǶϿΑଛጕԋҁǴᐱҥ

ࠠϼ໚ૈวႝس಍ڀԖཱུεޑ࿶ᔮᇨӢǶ

ᐱҥࠠϼ໚ૈวႝس಍ޑჴҔ܄ڗ،ܭس಍ޑុૐΚᆶё᎞ࡋǶុૐΚࡰ

ޑࢂϼ໚ૈس಍ޑೱុၮᙯਔ໔Ǵё᎞ࡋࡰޑࢂᐱҥࠠϼ໚ૈวႝس಍ޑཞᚯ

܈ଶၩޑᐒ౗ǶԶӵՖගܹᆽႝԣޑкႝਏ౗ǴࣁቹៜុૐΚޑനЬाᜢᗖǶ ќѦǴё᎞ࡋΨࡐख़ाǴӵՖӧፄᚇᕉნΠ҅தၮբሡፄᚇޑמೌǶ

Ў᝘ӣ៝

ᐱҥࠠϼ໚ૈวႝس಍தᔈҔܭϼ໚ૈ LED ၡᐩ܈ୃᇻӦ୔Ҕႝ฻ǴЬा

ฯᡏх֖Ԗϼ໚ૈ݈ǵᆽႝԣǵкܫႝ௓ڋᏔᆶॄၩǶӧ೛ीϼ໚ૈس಍ਔሡԵ ቾ೚ӭ٣໨Ǵፏӵॄၩӭჲǵϼ໚ૈ݈ޑวႝໆǵϺ਻చҹаϷᆽႝԣޑុૐΚ

฻฻Ǵᒿόӕޑس಍೛ीک௓ڋǴϼ໚ૈวႝس಍ޑ٬Ҕਏ౗Ԗࡐεޑৡ౦Ǵ΋

૓ϼ໚ૈ݈ޑ٬Ҕტڮऊ 20 ԃǴՠ܌མଛޑᆽႝԣӵႉለႝԣǴځѳ֡ტڮऊ 2~3ԃǴԜৡ౦คᅪӦቚуΑϼ໚ૈวႝس಍ޑԋҁǴӵՖቚуᆽႝԣޑុૐΚ ᆶё᎞ࡋǴࢂख़ाޑፐᚒǶ

΋૓ѱय़΢ޑϼ໚ૈкႝ௓ڋᏔࣁΑวචϼ໚ૈ݈നεޑวႝф౗Ǵࣣ཮у Εനεф౗ᗺଓᙫ(Maximum power point tracking, MPPT)௓ڋᏔǴԜ MPPT ௓ڋ Ꮤӧᏹբਔ཮Ԗૈໆཞ઻ǴҞ߻ന٫ޑ MPPT ௓ڋᏔᙯඤਏ౗ऊࣁ 95%Ǵՠգ ӧӄၩၮᙯਔω཮วғǴӧჴሞ٬Ҕਔϼ໚ᒟ৔ᕓ৲࿤ᡂǴMPPT ௓ڋᏔคݤҺ Ֆਔڅ೿ӧӄၩၮᙯǴࡺჴሞ΢ځᙯඤਏ౗ёૈեܭ 95%ЪуΕΑ MPPT ௓ڋ Ꮤό໻ቚуวႝԋҁǴΨफ़եΑس಍ޑё᎞ࡋǶѠε৊ᇶಅ[3][4]ճҔϼ໚ૈ݈

ޑႝᓸ-ႝࢬᏹբ੝܄ԔጕǴӵკ 1.2.1Ǵکႉለႝԣᏹբႝᓸ຾ՉϰଛǴว৖Α Ȩ߈നεф౗ᗺᏹբ(Maximum Power Point Operation, nMPPO)ȩ೛ीǴ٠җჴᡍ

่݀ளޕӧؼӳޑϰଛΠځᏹբёၲډ౛གྷനεф౗ᗺଓᙫ౗วႝໆޑ 97%а

΢Ǵ࿯࣪Α٬Ҕ MPPT ௓ڋᏔޑԋҁǴӕਔΨගϲΑس಍ฯᡏޑё᎞ࡋǶԶҁࣴ

ز܌٬Ҕޑϼ໚ૈวႝس಍ࣣа nMPPO ޑБԄ০ϼ໚ૈس಍ޑϰଛǶӣ៝[3][4]

Ў᝘ύǴᔠ૸ nMPPO ޑ೛ीБݤǴճҔߏයس಍ኳᔕϰଛႝᓸ(Battery)Ǵՠ٬

Ҕ΢όߡǴ׆ఈ໒ว΋ঁᙁߡޑ nMPPO ೛ीБݤǴࣁҁࣴزҞޑϐ΋Ƕ

კ 1.2. 1 ϼ໚ૈ݈੝܄Ԕጕ

ӧᆽႝԣкႝ௓ڋޑ೽ϩǴҗѠεֆ҇ဃ[4]܌೛ीޑΟ໘ࢤкႝ௓ڋ (Phase1ǵPhase2 ک Phase3) Ǵӵკ 1.2.2Ǵ΋૓ᆽႝԣ೿཮ԖೕۓޑкႝႝᓸǴ

྽ႉለႝԣӧεܭԜႝᓸᏹբਔǴ཮೷ԋᆽႝԣӧкႝၸำύౢғཞᚯǴᝄख़ё

ૈᏤठᆽႝԣᛈࣆޑӒᓀǴӵ٬Ҕ᎖ႝԣѸ໪׳уݙཀǶԖ᠘ܭԜǴ΋૓໺಍ޑ

௓ڋᏔ྽ᆽႝԣႝᓸډၲೕۓႝᓸ΢ज़ࡕ཮ᜢഈкႝǴՠԜਔᆽႝԣϐкႝໆރ ݩ(State of Charge, SOC)ёૈѝډၲ 90%аΠǴ٠҂кႫǶԶΟࢤԄкႝӧႝԣ

ၲډೕۓႝᓸᗺਔǴஒճҔેݢቨࡋፓᡂ(Pulse Width Modulation, PWM)ᆶӣ௤

௓ڋٰज़ڋᆽႝԣޑкႝႝᓸǴ٬ႝԣӧೕۓϐӼӄޑᏹႝᓸΠᝩុкႝǶҗჴ ᡍޑ่݀ளޕǴΟࢤԄкႝၨ໺಍ޑкႝวԄቚуऊ 18%ޑкႝໆǴࡺӧόቹៜ

ႝԣტڮޑᏹբΠᡣ᏾ᡏس಍Ԗ׳ଯޑ٬Ҕਏ౗[4]Ƕ

კ 1.2. 2 ΟࢤԄкႝ

җܭᆽႝԣ՞᏾঺ϼ໚ૈวႝس಍ޑԋҁࡐଯޑКख़ǴӧѠεම଻҇[5]௦ Ҕຬભႝ৒٠ᖄႉለႝԣޑషӝԄᓯૈး࿼ǴࣴزԖคຬભႝ৒ޑϼ໚ૈวႝ௃

׎Ǵკ 1.2.3ǵკ 1.2.4ǵკ 1.2.5Ǵว౜уΕຬભႝ৒ޑس಍཮फ़եᆽႝԣޑᕴϣ ߔǴ٠ӧ nMPPO ޑϼ໚ૈس಍ϰଛΠǴᡣᆽႝԣޑᏹբႝᓸ׳ௗ߈നεф౗ᗺ Զᕇள׳ӭૈໆǹѠεᄃηᇬ[6]ޑࣴزࡰрǴᕓ໔ޑᒟ৔ໆᡂϯёૈ٬ႉለႝԣ ޑкႝႝࢬၸεǴߏයၮբ཮ჹႉለႝԣޑкႝႝཱུ݈೷ԋፂᔐǴ߈Զཞ্ႝԣ ޑტڮǶќѦӧܫႝ೽ϩǴऩԖ٠ᖄຬભႝ৒ޑس಍ύǴ྽ႝᓸܫႝԿᄒЗႝᓸ ࡕǴႉለႝԣ܌ӣϲޑႝᓸၨଯǴ٬ளԛВӧჹԜس಍кႝਔǴځᆽႝԣႝᓸ׳

ௗ߈ϼ໚ૈ݈നεф౗ᗺǴࣴز่݀᛾ჴ٠ᖄຬભႝ৒ޑس಍ёගϲऊ 16%ޑ кႝਏ౗ǶѠε஭ণ଻[7]ճҔس಍᛽ձ؃рႉለႝԣᆶຬભႝ৒ޑᙯ౽ڄኧǴӧ ᓎୱៜᔈϩ݋ύࡰрǴ٠ᖄຬભႝ৒ޑس಍ӧ୏ᄊᏹբਔԖၨեޑߔלǴკ 1.2.10ǵკ 1.2.14ǴӢႉለႝԣႝᓸჹܭᡂ୏ޑႝࢬϸᔈਔ໔ၨᄌǴ܌а٠ᖄຬભ

ႝ৒Ԗշܭ጗کӧ୏ᄊᏹբΠᆽႝԣϐႝᓸჹႝࢬޑៜᔈǴගϲкႝໆǶӧЊѦ ჴᡍว౜٠ᖄຬભႝ৒ޑݤ܎ኧຫεǴځගϲޑкႝໆຫεǴЪ܌ගϲޑкႝໆ ᆶϺ਻ԖᜢǴ྽Ϻ਻ຫනਟᒟ৔ໆຫεਔǴගϲޑкႝໆຫܴᡉǶ

კ 1.2.3 ߄Ңٿঁϼ໚ૈкႝس಍௦ႉለႝԣӧൂВޑ߄౜КၨǴځύ΋঺

ᆶؒԖຬભႝ৒ޑس಍࣬КǴቚуΑϼ໚ૈкႝໆ 21.8%Ƕკ 1.2.4 ࢂКၨ٠ᖄ ຬભႝ৒ 288F ᆶ 58F ޑس಍Ǵёа࣮р؂Вϼ໚ૈкႝໆӧ 288F س಍ύК 58F ቚуΑ 25%Ǵӧკ 1.2.5 ࣁค٠ᖄຬભႝ৒ޑس಍ޑᕴкႝໆǴӧԜය໔Ϻ਻ӭ

໦Ǵ؂Вวႝໆ൳Яόى 300WhǶ

வ 2011 ԃ 2 Д 11 Вډ 2011 ԃ 4 Д 2 ВޑߏයჴᡍᡉҢǴᒿ๱ຬભႝ৒ޑ

৒ໆቚεǴϼ໚ૈѳ֡؂В܌ቚуޑкႝໆӵკ 1.2.6 ܌ҢǶԶӧკ 1.2.7 ᡉҢр

྽ຬભႝ৒ޑ৒ໆຬၸ 100F ࡕǴቚуޑϼ໚ૈкႝໆ߾ຫᖿѳ጗Ƕ

షӝԄᓯૈޑᕴϣಔࢂ೯ၸჹషӝԄس಍а 8A ޑႝࢬٰෳໆǴ٠аόӕϐ

ႉለႝԣ SOC Π଺࣬ӕޑჴᡍǴځ่݀ࡰр᏾ঁس಍ޑᕴϣߔեܭ 30mΩǴӵ კ 1.2.10 ܌ҢǶ

კ 1.2.11 ߄Ңӧ Phase2 ໘ࢤкႝਔǴԖуΕຬભႝ৒ޑس಍ӧ຾Չ PWM кႝਔႝࢬޑ Duty Cycle Кคຬભႝ৒ޑس಍ाٰளଯǴж߄ૈࢬ຾ႉለႝԣ ޑႝࢬຫεǶ

კ 1.2.14ǵკ 1.2.15 ᇥܴ RBATӧ Phase2 кႝ໘ࢤቚуǴԶԖ٠ᖄຬભႝ৒

ޑس಍ӵ 288F س಍ύڀԖၨեޑ RBATǴ೭ཀښ๱Ԗ๱ၨեޑߔלǶ

ၸѐޑᆽႝԣкႝמೌࣴزࣣаႉለႝԣࣁЬǴځкႝמೌςԖ࣬྽ำࡋޑ ඓඝǴՠ࣬ၨܭ᎖ႝԣԶقǴ᎖ႝԣᏱԖଯф౗ǵଯ৒ໆᆶტڮߏϐᓬᗺǴҞ߻

ςቶݱᔈҔܭႝ୏ًύǴࡺ٬Ҕ᎖ႝԣբࣁᆽႝԣࢂ҂ٰޑᖿ༈Ƕϼ໚ૈкႝቚ மמೌ[8]চࢂаႉለႝԣբࣁϼ໚ૈวႝس಍ޑᆽႝԣǴҗܭႉለႝԣޑϸᔈ

ၨᄌǴࡺஒႉለႝԣ٠ᖄຬભႝ৒ёᕇளၨӭޑкႝໆǶҁࣴزᔕа᎖ႝԣڗж

ႉለႝԣǴҗܭ᎖ႝԣޑϸᔈၨႉለႝԣזǴຬભႝ৒Ξ຦ό಄ӝ࿶ᔮਏ੻Ǵҁ

ࣴزᔕ௖૸аႝှႝ৒жඹຬભႝ৒ٰ଺ࣁ᎖ႝԣкႝቚமޑёՉ܄Ƕ

კ 1.2. 3 ൂВ߄౜Кၨ

კ 1.2. 4 ຬભႝ৒ߏਔ໔Кၨෳ၂ 58F ᆶ 288F

0 100 200 300 400 500 600 700 800 900

0 2 4 6 8 10 12 14 16 18

04:48 07:12 09:36 12:00 14:24 16:48 19:12

time 2011/2/28

battery voltage Vbat(V) _V

bat

cumulated energy storage Cbat(Wh) IT

Cbat

+31%

+64%

SC (288F) no

SC

PV power generation W_pv(SC 288F) no SC

Cbat

0 5 10 15 20 25 30 35 40

4 6 8 10 12 14 16 18 20 22 24

288F 58F

daily-total solar irradiation HT, MJ m^-2day^-1 increase of PV energygeneration, %

2010/12/17-2011/4/02

კ 1.2. 5 คຬભႝ৒ϐวႝໆ

კ 1.2. 6 ϼ໚ૈวႝໆᆶຬભႝ৒ϐ৒ໆ٬Ҕ

0 100 200 300 400 500 600

2011/2/6 2011/2/16 2011/2/26 2011/3/8 2011/3/18 2011/3/28 2011/4/7

2011/2/11-2011/4/02

date daily-total charged energy (PV energy generation), Wh per day

0 100 200 300 400 500 600

0 100 200 300 400

average solar PV energy generation, Wh per day

size of super-capacitor, F

H_T> 10 MJ m^-2 per day 2011/2/11-2011/4/02

კ 1.2. 7 ϼ໚ૈวႝໆ VS ຬભႝ৒৒ໆ

კ 1.2. 8 ߏයКၨෳ၂่݀

0%

5%

10%

15%

20%

25%

0 50 100 150 200 250 300 350

average increase of PV energy generation

size of super-capacitor, F

H_T> 10 MJ m^-2per day

2011/2/11-2011/4/02

0 100 200 300 400 500 600 700 800

0 2 4 6 8 10 12 14 16 18 20 22

daily-total PV energy generation ,Wh per day

daily-total solar irradiation HT, MJ m^-2 per day 2011/2/11 - 2011/4/02

NO.6(no SC) NO.7(25F) NO.8(58F) NO.9(288F)

კ 1.2. 9 ϼ໚ૈวႝس಍ਏ౗Кၨෳ၂

კ 1.2. 10 ᆽႝԣس಍ᕴϣߔ

0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18

0 2 4 6 8 10 12 14 16 18 20 22

solar PV conversion efficiency

daily total solar irradiation H_T, MJ m^-2per day 2011/2/11 - 2011/4/02

NO.6(no SC) NO.7(25F) NO.8(58F) NO.9(288F) rated PV module efficiency: 0.139

no SC SC 288F

0 5 10 15 20 25 30 35 40 45 50

0% 20% 40% 60% 80% 100%

SOC(%)

internal resistance (mΩ)

LA only

LA+SC(25F) LA+SC(58F)

LA+SC(288F)

კ 1.2. 11Phase 2 кႝ Duty cycle ߄౜

კ 1.2. 12 ϼ໚ૈวႝКၨ(2011/2/22)

0%

20%

40%

60%

80%

100%

120%

140%

160%

180%

200%

0 2 4 6 8 10 12 14 16

04:48 07:12 09:36 12:00 14:24 16:48 19:12

PWM signal (duty

2011/2/28

battery voltageVbat ,

Phase 2,3 (SC 288F)

no SC

Phase 2,3 (no SC) no SC

Phase 1 (no SC)

0 100 200 300 400 500 600 700 800 900 1000

0 2 4 6 8 10 12 14 16

04:48 07:12 09:36 12:00 14:24 16:48 19:12

battery voltage Vbat(V)

time 2011/2/22

IT

V_bat

PV powergeneration Wpv(W); solar irradiation IT(W m-2) no SC

no SC

with SC with SC

Wp

კ 1.2. 13 ϼ໚ૈวႝКၨ(2011/2/22)

კ 1.2. 14 س಍ᕴ฻ਏႝߔКၨ(2011/2/28)

20%

40%

60%

80%

100%

120%

140%

160%

0 2 4 6 8 10 12 14 16

04:48 09:36 14:24 19:12

battery voltage Vbat (V)

time 2011.2.22

PWMsignal (duty cycle) in charging no SC

SC (288F)

SC (288F) no SC

Phase 2,3 (SC 288F)

Phase 1 (no SC)

0 100 200 300 400 500 600 700 800 900 1000

0 2 4 6 8 10 12 14 16 18 20

04:48 07:12 09:36 12:00 14:24 16:48 19:12 no SC

no SC

IT

BatteryresistanceRbat , Ohm batteryvoltage Vbat , V

Rbat

Vbat

solar irradiationIT , Wm-2

2011/2/28

SC (288F) SC (288F)

კ 1.2. 15 س಍ᕴ฻ਏႝߔК(2011/2/22)

0 100 200 300 400 500 600 700 800 900 1000

0 2 4 6 8 10 12 14 16

04:48 07:12 09:36 12:00 14:24 16:48 19:12 battery voltage Vbat(V) ; battery resistance Rbat(Ohm)

time 2011/2/22

IT

V_bat

solar irradiation IT(W m-2) no SC

no SC

SC (288F)

SC (288F)

Rbat

ࣴزϣ৒

хࡴٿ໨Ǻ(1)٠ᖄႝှႝ৒ٰቚமϼ໚ૈวႝس಍܄ૈޑёՉ܄ǹ(2)໒ว

΋ᙁܰޑ nMPPO س಍ϰଛ೛ीБݤǴаٮჴሞ೛ीᔈҔǶ

ಃΒകġ ᐱҥࠠϼ໚ૈวႝس಍೛ीϰଛࣴز

߈നεф౗ᗺᏹբ୷ҁচ౛

ϼ໚ૈ݈(Photovoltaic module, PV)ޑᒡр཮ᒿϼ໚ᒟ৔மࡋᡂϯǴᒡрႝ

ᓸᆶႝࢬΨ཮Ӣࣁॄၩޑ੝܄ౢғᡂϯǶаཥВӀ(NSP)Ϧљ܌ғౢޑӭ඲ޖϼ

໚ૈ݈ D6P245A3A ࣁٯǴკ 2.1.1 ࢂҗቷ୘܌ගٮޑӧЊѦа໚Ӏ຾Չෳ၂ޑ

ႝᓸᆶႝࢬ੝܄ԔጕǴځ߄य़ྕࡋࣁ 45^oCǴёа࣮рόӕޑϼ໚ᒟ৔மࡋԖό ӕޑวႝໆǴځႝᓸᆶႝࢬᡂϯևߚጕ܄Ƕ

კ 2.1. 1 NSP 45^oCϼ໚ૈ݈ႝᓸ-ႝࢬ੝܄Ԕጕ

ऩஒႝᓸᆶႝࢬ࣬४ջёளډϼ໚ૈ݈ޑᒡрф౗(Wp)Ǵஒᒡрф౗ჹᒡ рႝᓸբკёаளډკ 2.1.2 ޑᜢ߯Ǵёа࣮рӧ؂΋ঁϼ໚ᒟ৔மࡋྣ৔ᆶ PVྕࡋΠ೿Ӹӧ΋ঁനεޑф౗ᒡрǴӧന٫ޑႝᓸᆶႝࢬచҹΠᏹբᆀࣁϼ

໚ૈ݈ޑനεф౗ᗺ(MPP)Ƕ྽ϼ໚ૈ݈ޑᒡрႝᓸୃᚆനεф౗ᗺႝᓸਔǴ ϼ໚ૈ݈ޑᒡрф౗ஒ෧ϿЪୃᚆຫᇻ߾೷ԋޑཞѨຫεǶӢԜऩךॺૈ೸ၸ

፾྽ޑႝᓸ௓ڋǴ٬ϐᆶϼ໚ૈ݈ϰଛǴ൩ёаᡣϼ໚ૈ݈ߥ࡭ӧനεф౗ᗺ

଺ᒡрǴջനεф౗ᗺଓᙫ(Maximum Power Point Tracking, MPPT)௓ڋǶ

კ 2.1. 2 NSP 45^oCϼ໚ૈ݈ႝᓸ-ф౗੝܄Ԕጕ

MPPTࢂ΋ᅿޔࢬႝྍᙯඤᏔ(DC/DC Converter)ǴԖૈໆཞѨǴӵ݀೛࿼

ޑനεф౗ᗺଓᙫᏔ܌ගϲޑวႝਏ౗คݤံىଓᙫᏔ܌੃઻ޑૈໆǴ߾നε ф౗ᗺଓᙫᏔߡ׎ӕ຀೛Ƕ

җკ 2.1.2 ύ࣮рǴᒿ๱ϼ໚Ε৔மࡋޑᡂϯǴനεф౗ᗺႝᓸᗨฅԖᡂ ϯǴՠϝฅ໣ύӧ 26~29V ϐ໔Ǵځдޑϼ໚ૈ݈੝܄ԔጕΨԖᜪ՟ޑ௃׎Ƕ

ϼ໚ૈวႝس಍߈നεф౗ᗺᏹբ(near Maximum Power Point Poeration, nMPPO)ޑཷۺࢂճҔᆽႝԣޑႝᓸǴ٬س಍ޑᏹբႝᓸጄൎௗ߈ϼ໚ૈ݈ޑന εф౗ᗺǴკ 2.1.2 ܌ҢǶӢԜӧԜس಍ύᆽႝԣԖٿঁЬाфૈǴ΋ࣁᙹۓϼ

໚ૈ݈ᒡрႝᓸǴΒ߾ࣁႝૈᓯӸǶᙖҗᆽႝԣᆶϼ໚ૈ݈ޑ፾྽ޑϰଛǴё

٬ϼ໚ૈวႝس಍ӧ߈നεф౗ᗺᏹբǴҁࣴزᔕճҔ൳ঁࡰ኱ୖኧٰ଺ࣁس

಍ϰଛޑख़ाǶ

ᐱҥࠠϼ໚ૈวႝس಍ nMPPO ϩ݋ϰଛ

຾Չ nMPPO ϐϼ໚ૈкႝس಍೛ीϰଛਔǴѸ໪ӃΑှᆽႝԣޑкႝႝ

ᓸᏹբጄൎǴӵკ 2.1.1 ܌ҢǴхࡴ VLǵVavᆶ Vmax฻ΟঁႝᓸᗺǴаϷϼ໚

ૈ݈ޑख़ाೕ਱ VmpǵVocǴ٩Ᏽᆽႝԣᆶϼ໚ૈ݈ೕ਱ёۓကΟঁख़ाޑ nMPPOس಍ϰଛ܄ૈࡰ኱Ƕ

ܸ݀_௠௣ ൌ ܸ_௠௣െ ܸ_௔௩ (2.1-1) ߛ_௠௣ ൌ ^ௗ௏೘೛

௏_೘೛ (2.1-2)

ߩ_௟௢௦௦ ൌ ܲ_௠௣െ ܲሺܸ_௔௩ሻ (2.1-3)

ܸ݀_௠௔௫ ൌ ܸ_௢௖െ ܸ_௠௔௫ (2.1-4) Vmp: ϼ໚ૈ݈നεф౗ᗺႝᓸ

VL: ᆽႝԣкႝϐനեᏹբႝᓸ Vav: ᆽႝԣкႝϐѳ֡ᏹբႝᓸ Vmax : ᆽႝԣкႝϐനεᏹբႝᓸ dVmp: Vmpډ Vavϐୃ౽ຯᚆ rmp: س಍ϰଛϐཞѨࡰ኱

Pmp: ϼ໚ૈ݈നεф౗

P(Vav): ᆽႝԣкႝѳ֡ᏹբႝᓸჹᔈϐϼ໚ૈ݈ф౗

Lmps: Pmpᆶ P(Vav)ϐ໔ޑཞѨ Voc: ϼ໚ૈ݈ޑ໒ၡႝᓸ

dVmax: ᆽႝԣϐ Vmaxډ Vocޑୃ౽ຯᚆ

Ϲⁱ: ϼ໚ૈкႝس಍ёкႝำࡋϐ܄ૈࡰ኱,ᙁᆀ”ёкႝࡋ”

ۓက nMPPO ૈໆཞѨ LmpӵԄ 2.2-5ǴԄύ P(Vav)߄Ңϼ໚ૈ݈ӧ Vavޑว

ႝф౗ǹPmp߄Ңࣁ MPP ޑф౗Ƕ

_୫୮ؠ ^{୔ౣ౦ି୔ሺ୚౗౬ሻ}

୔_ౣ౦ (2.2-5)

(Voc,0)Οঁ০኱ᗺೱԋ΋ঁΟف׎Ǵځύ(0,0)Կ(Vmp,Pmp)ޔጕ΢ё኱ۓ΋ঁ

(Vav,Pav)ǴPavࡐௗ߈ P(Vav)Ƕ

Ӣᆽႝԣ Vavᆶϼ໚ૈ݈ Vmpޑৡຯж߄ nMPPO ᆶ MPP ޑୃᚆໆǴࡺۓ ကȨVavႝᓸୃᚆ౗ȩࣁ rmpӵԄ 2.2-6Ƕ

”_୫୮ ൌ^ୢ୚ౣ౦

୚_ౣ౦ ൌ ^{୚ౣ౦ି୚౗౬}

୚_ౣ౦ ൌ ͳ െ ^୚౗౬

୚_ౣ౦ (2.2-6) җΟفڄኧᜢ߯Ǻ ^୚౗౬

୚_ౣ౦ൌ ^୔౗౬

୔_ౣ౦ (2.2-7)

ࡺԄ(2.2-6)ёׯቪԋǺ ”_୫୮ ൌ^{୔ౣ౦ି୔౗౬}

୔_ౣ౦ (2.2-8)

ӢԜ rmpΨёаж߄߈՟ޑ nMPPO ૈໆཞѨǴ࣬྽ܭаϼ໚ૈ݈ޑጕ܄߈

՟ф౗-ႝᓸԔጕΠޑཞѨǶ೯த P(Vav)>PavǴӢԜ rmp܌ж߄ޑ nMPPO ૈໆཞ Ѩଯܭჴሞॶ(Lmp)Ǵࡺ rmpΨёаҔٰж߄“നε nMPPO ૈໆཞѨ”Ƕ

аϼ໚ૈ݈຾ՉкႝਔǴᆽႝԣനଯᏹբႝᓸ VmaxѸ໪λܭϼ໚ૈ݈ޑ໒ ၡႝᓸ VocǴց߾ߡคݤкႝǶӢԜǴVmaxᆶ Voc࣬ჹܭ VmpޑՏ࿼ᆶৡ౦ໆж ߄ૈցкႝǴࡺۓက΋ঁȨёкႝࡋ CiȩӵΠԄ 2.2-9Ǻ

ܥ_௜ ൌ ^{ௗ௏೘ೌೣ}

௏_೚೎ି௏_೘೛ൌ^{௏೘ೌೣି௏೘೛}

௏_೚೎ି௏_೘೛ (2.2-9)

྽ Vmax= VocਔǴCi= 1Ǵж߄ᆽႝԣᆶϼ໚ૈ݈ޑႝᓸӄय़ϰଛǶ྽

_୫୮ ൑ _୫ୟ୶ ൑ _୭ୡਔǴͲ ൑ _୧ ൑ ͳǴж߄кႝႝᓸϰଛёаௗڙǶӵ݀

Vmax<VmpǴջ Ci<0(ॄॶ)ж߄кႝႝᓸጄൎӧ MPP ѰୁǴVav(ᆽႝԣനதᏹբ

ႝᓸ)όёૈၲډ VmpǴnMPPO ૈໆཞѨ཮ቚуǶӵ݀ Vmax>VocǴCi>1ǴVavё

ૈௗ߈ VocǴϼ໚ૈวႝф౗ёૈ࡚ᗊΠफ़Ǵӵεܭ VocкႝӧѨਏǶ

೸ၸ LmpǵrmpǵCi܄ૈࡰ኱Ǵջёаଞჹ੝ۓᆽႝԣ຾Չϼ໚ૈ݈ޑᑔ ᒧǴֹԋ nMPPO ޑس಍ϰଛ೛ीǶ

ёкႝࡋ Ciࢂ nMPPO מೌᜢᗖϐ΋ǴCiॶᔈϟܭ 0 ᆶ 1 ϐ໔Ǵՠӵௗ߈

Vmaxᆶ Voc࣬ჹՏ࿼ԖᜢፂႝѨਏୢᚒࣁҭܭΑှǴۓကᆽႝԣനଯႝᓸ Vmaxୃᚆ౗ӵԄ 2.2-10Ǵܭ Vmaxೀޑϼ໚ૈวႝф౗ཞѨёۓကࣁӵԄ 2-2- 11ǴԶӧკ 2.2.1 ф౗-ႝᓸԔጕҗ(Vmp,Pmp)Կ(Voc,0)ೱጕ΢ё኱ۓ΋ঁ

(Vmax,Pmax)ǴPmaxࡐௗ߈ P(Vmax)ǶҗΟفڄኧᜢ߯ёளԄ 2.2-13Ƕ

ӢԜ rocж߄߈՟ޑ Vmax ф౗ཞѨǴёаᇸܰ؃ளǴΞҗԄ 2.2-14 ܌ҢǴ Ci=0~0.5ж߄ roc=0.5~1Ƕऩ Ci=0.5Ǵ߾”_୭ୡ ൌ ^୔ౣ౗౮

୔_ౣ౦ ൌ ͲǤͷǴ࣬྽ܭ Vmaxೀϐനε วႝཞѨࣁ 50%(Ӣ Pmax<P(Vmax))Ƕӵ Ci=0.1Ǵ߾ roc=0.9Ǵ࣬྽ܭ Vmaxೀനεཞ Ѩࣁ 10%ǶӢԜӀவ rocॶΨёεౣղᘐ nMPPO ޑϰଛࢂցӝ፾Ƕ

΢ॊϩ݋௦Ҕޑୖኧ LmpǵLmaxࢂճҔϼ໚ૈ݈ޑф౗-ႝᓸԔጕ؃ளǴځ ёҗჴෳ܈җфࢂीᆉ؃ளǶ

”_୭ୡ ؠ ^{୚౥ౙି୚ౣ౗౮}

୚_౥ౙି୚_ౣ౦ (2.2-10)

_୫ୟ୶ؠ ^{୔ౣ౦ି୔ሺ୚ౣ౗౮ሻ}

୔_ౣ౦ ൌ ͳ െ^{୔ሺ୚ౣ౗౮ሻ}

୔_ౣ౦ (2.2-11)

୔_ౣ౗౮

୔_ౣ౦ ൌ^{୚౥ౙି୚ౣ౗౮}

୚_౥ౙି୚_ౣ౦ (2.2-12)

”_୭ୡ ൌ ^୔ౣ౗౮

୔_ౣ౦ (2.2-13)

”_୭ୡ ൌ ^{୚౥ౙି୚ౣ౗౮}

୚_౥ౙି୚_ౣ౦ ൌ^{ሺ୚౥ౙି୚ౣ౦ሻିሺ୚ౣ౗౮ି୚ౣ౦ሻ}

୚_౥ౙି୚_ౣ౦ ൌ ͳ െ _୧ (2.2-14)

კ 2.2. 1 ϼ໚ૈ݈ϐႝᓸ-ф౗੝܄Ԕጕᆶᆽႝԣႝᓸᏹբጄൎᜢ߯კ

ϼ໚ૈኳಔኳࠠᆶჴᡍКჹ

ϼ໚ૈ݈ࢂճҔӀҷ੝ਏᔈ(photovoltaic effect)ޔௗஒϼ໚Ӏૈᙯඤԋႝ

ૈǶᏹբ੝܄ёҔ฻ਏႝၡٰ߄ҢǶ౛གྷޑϼ໚ૈ݈ϐ฻ਏႝၡёаຎࣁ΋ঁ

ႝࢬྍ٠ᖄ΋ঁΒཱུᡏǴՠჴሞ΢٠ߚ౛གྷރᄊǴϣ೽ᗋԖ΋ঁ٠ᖄϣಔ RSH

کՍೱϣႝߔ RSǴӵკ 2.3.1 ܌ҢǶ

კ 2.3. 1 ϼ໚ૈ݈฻ਏႝၡ RS: ϼ໚ૈ݈ϣ೽ՍೱႝߔǴΩ

RSH: ϼ໚ૈ݈ϣ೽٠ႝߔǴΩ IL: ϼ໚ૈ݈ౢғޑႝࢬǴA ID: ϼ໚ૈ݈ޑϸӛႫکႝࢬǴA

ISH: ࢬ࿶ၸϼ໚ૈ݈ϣ೽ߔלޑႝࢬǴA I: ϼ໚ૈ݈ჹѦᒡрޑႝࢬǴA

V: ϼ໚ૈ݈ჹѦ҅ॄٿཱུޑႝᓸৡǴV

җլ׆Ֆϻۓࡓ(Kirchhoff’ s circuit laws)ёаޕၰ຾ΕҺཀҬᗺޑႝࢬ฻ܭ ᚆ໒ҬᗺޑႝࢬǴ܌аႝࢬᜢ߯ԄӵԄ 2.3-1Ǵځύ ILࢂϼ໚ᒟ৔ॶکྕࡋޑ ڄኧǴᜢ߯ԄӵԄ 2.3-2ǴIDࣁࢬ࿶ၸᑵ੝୷Βཱུᡏ(Shockley diode)ޑႝࢬǴᅈ ىᑵ੝୷ΒཱུᡏϦԄǴᜢ߯ԄӵԄ 2.3-3 کԄ 2.3-4ǴISHᜢ߯ԄࣁኻۅۓࡓǴᜢ

߯Ԅӵ 2.3-5ǶനࡕஒࢂԄ 2.3-2 ԿԄ 2.3-5 ஥ΕԄ 2.3-1 ёளډϼ໚ૈ݈ᜢ߯Б

 ൌ _୐െ _ୈ െ _ୗୌ (2.3-1) _୐ൌ ^{ூೞ೎ା௄೔ሺ்ି்ೝሻ}

ଵ଴଴଴ ൈ ܵ_௜ (2.3-2)

ܫ_஽ ൌ ܫ_ைൈ ቄ‡š’ ቂ^{௤ሺ௏ାூோೄሻ}

௡௞் ቃ െ ͳቅ (2.3-3) _ை ൌ _௥௥ൈ ቀ^்

்_ೝቁ^ଷൈ ݁ݔ݌ ቂ^{௤ா೒ೌ೛}

௞஺ ቀ^ଵ

்_ೝെ^ଵ

்ቁቃ (2.3-4) _ௌு ൌ^{௏ାூோೄ}

ோ_ೄಹ (2.3-5)

 ൌ^{ூೞ೎ା௄೔ሺ்ି்ೝሻ}

ଵ଴଴଴ ൈ ܵ_௜ െ _௥௥ൈ ቀ^்

்_ೝቁ^ଷൈ ݁ݔ݌ ቂ^{௤ா೒ೌ೛}

௞஺ ቀ^ଵ

்_ೝെ^ଵ

்ቁቃ ൈ ቄ‡š’ ቂ^{௤ሺ௏ାூோೄሻ}

௡௞் ቃ െ ͳቅ െ

௏ାூோ_ೄ

ோ_ೄಹ (2.3-6)

ISC: ϼ໚ૈ݈ჹܭϼ໚ᒟ৔ໆ 1000W/m²ǵྕࡋ 25^oCచҹΠϐอၡႝࢬǴA Ki: ϼ໚ૈ݈ޑอၡႝࢬྕࡋ߯ኧǴA/K

Tr: ϼ໚ૈ݈ޑୖԵྕࡋ 298K Si: ВྣமࡋǴW/m²

q: ႝ಻ໆǴ1.6×10^-19C n: ϼ໚ૈ݈Սᖄޑኧໆ

k: ݢ૟ୗதኧǴ1.38××10^-23J/K T: ϼ໚ૈ݈ྕࡋǴK

Irr: ΒཱུᡏޑϸӛႫکႝࢬǴA

Egap: ъᏤᡏ׷਑ၠຫૈ஥໔ሜ܌ሡૈໆ(ޖɼ1.1eV)ǴeV

ҁࣴزճҔԄ 2.3.6 ϼ໚ૈ݈੝܄БำԄǵϼ໚ૈ݈ٮᔈ୘ගٮޑ࣬ᜢୖ

ኧᆶ RSǵRSHॶǴӆճҔ Matlab Simulink ٰኳᔕϼ໚ૈ݈ޑᏹբ੝܄ԔጕǴ๏

ϒΟঁᒡΕǴхࡴϼ໚ૈ݈ޑᏹբႝᓸᆶϼ໚Вྣᒟ৔ໆޑελǴаϷϼ໚ૈ

݈߄य़ྕࡋǴٰ؃ளϼ໚ૈ݈ᒡрޑႝࢬᆶ࣬ᔈϐႝᓸǶკ 2.3.2 ࣁϼ໚ૈ݈

კ 2.3. 2 ϼ໚ૈ݈ϐ Simulink Block diagram

ࣁᡍ᛾΢ॊϼ໚ૈ݈ Simulink Block diagram ޑྗዴࡋǴᒡΕྕࡋ 25^oCǴό ӕϼ໚ᒟ৔ 200ǵ400ǵ600ǵ800 ᆶ 1000W/m²Ǵ؃ளႝᓸ-ႝࢬ੝܄ԔጕǴӵკ 2.3.3Ǵ٠ᆶቷ୘܌ගٮޑϼ໚ૈ݈ෳ၂ϐႝᓸ-ႝࢬԔጕǴӵკ 3.1.5 ຾ՉК

ၨǴٿޣཱུࣁௗ߈Ƕ

nMPPO س಍ϰଛ೛ी೬ᡏ

а nMPPO Бݤٰ຾Չس಍ϰଛਔǴϼ໚ૈ݈ޑᑔᒧࢂ΋εᜢᗖǴऩคݤ ᑔᒧр಄ӝᆽႝԣᏹբႝᓸޑϼ໚ૈ݈Ǵ߾᏾ঁس಍ޑวႝཞѨ཮ቚуǹ΢΋

࿯܌ගϷޑ nMPPO(rmpǵPmpǵetc)܄ૈࡰ኱ٰ຾Չϼ໚ૈ݈ޑᑔᒧǴՠӧ٬Ҕ ೭٤܄ૈࡰ኱ϐ߻ᗋѸ໪Ӄפр؂Тϼ໚ૈ݈ޑวႝ੝܄ԔጕǴฅࡕӆ೸ၸ೭ ٤Ԕጕٰीᆉ nMPPO ܄ૈࡰ኱Ƕόӕቷ୘܌ᇙ೷ޑϼ໚ૈ݈Ǵځ੝܄Ԕጕᆶ ϣ೽ୖኧࣣό࣬ӕǴόӕਏ౗ޑϼ໚ૈ݈ϐ੝܄Ԕጕ׳ࢂৡ౦ཱུεǴࡺ೭٤ nMPPOࡰ኱ޑीᆉӧჴሞ٬Ҕਔ٠όБߡǴࡺҁࣴزว৖΋঺ߡճޑ঺း೬ᡏ ӵკ 2.4.1Ǵёауೲᑔᒧϼ໚ૈ݈Ǵפр಄ӝ nMPPO ޑϼ໚ૈ݈Ǵҁ࿯ஒᇥ

ܴԜ೬ᡏޑ೛ीᆶᏹբБݤǶ

კ 2.4. 1 nMPPO س಍ϰଛϐკࠠϯ٬Ҕޣϟय़ 2.4.1 ϼ໚ૈ݈ೕ਱೛ۓϟय़

Maximum power voltage(Vmpp): ӧᒟ৔ໆ 1000W/m²ǵ25^oCΠനεф౗ᗺႝ

ᓸ

Maximum power current(Impp): ӧᒟ৔ໆ 1000W/m²ǵ25^oCΠനεф౗ᗺႝ

ࢬ

Open circuit voltage(Voc): ӧᒟ৔ໆ 1000W/m²ǵ25^oCΠޑ໒ၡႝᓸ Short circuit current(Isc): ӧᒟ৔ໆ 1000W/m²ǵ25^oCΠޑอၡႝࢬ Temperature coefficient of Voc: Vocϐྕࡋ߯ኧǴൂՏ%/K

Temperature coefficient of Isc: Iscϐྕࡋ߯ኧǴൂՏ%/K Number of cells connect in series: ϼ໚ૈ݈Սೱኧໆ (2) ٬Ҕϐᕉნᆶ೛ीୖኧ

PV panel temperature: ϼ໚ૈ݈੝܄Ԕጕϐ߄य़ྕࡋǴൂՏ^oC Irradiation: ϼ໚ૈ݈੝܄Ԕጕϐᒟ৔ໆǴൂՏ W/m²

Number of panel in series: ϼ໚ૈ݈ՍೱኧǴᒡΕ 1 ߄Ң໻΋Тϼ໚ૈ݈Ƕ ӧკ 2.4.1.1 ύǴ೬ᡏϟय़ PV ೕ਱୔༧ϩࣁٿ೽ϩǴಃ΋೽ҽࣁᒡΕҗϼ

໚ૈ݈ᇙ೷ቷ୘܌ගٮޑӧᒟ৔ໆ 1000W/m²ᆶ݈ྕ 25^oCΠޑ኱ྗෳ၂ୖኧ (VocǵVmpǵImpǵ…)ǴԖΑ೭Ζঁୖኧ൩ёаीᆉрϼ໚ૈ݈ӧҺՖᒟ৔ໆ (W/m²)ᆶҺՖ݈ྕ(^oC)Πޑ੝܄ԔጕǶಃΒ೽ҽᒡΕࣁ٬ҔᕉნୖኧǴЬाх

ࡴᒡΕϼ໚ૈ݈ྕࡋǵᒟ৔ໆᆶϼ໚ૈ݈ޑՍᖄኧໆ(ᆶس಍ႝᓸԖᜢ)Ƕ

่ӝΑ೭ٿ೽ҽޑၗ਑Ǵջёीᆉрϼ໚ૈ݈ޑ੝܄ԔጕǶ

კ 2.4. 2 ϼ໚ૈ݈ୖኧ೛ۓϟय़ 2.4.2 ᎖ႝԣೕ਱೛ۓϟय़

Ԝϟय़Ԗٿᅿ೛ۓᒧ᏷Ǻ(1)ႝԣ኱ྗኳಔǵ(2)࠼ᇙೕ਱(ႝ޻ൂϡ)Ƕ (1) ᎖ႝԣ኱ྗኳಔ

Minimum voltage(VL): ᎖ႝԣኳಔϐനեᏹբႝᓸ(V) Average voltage(Vav): ᎖ႝԣኳಔϐѳ֡ᏹբႝᓸ(V) Maximum voltage(Vmax): ᎖ႝԣኳಔϐനεᏹբႝᓸ(V) (2) ࠼ᇙೕ਱(ႝ޻ൂϡ)

Minimum voltage(VL): ᎖ႝԣ޻ϐനեᏹբႝᓸ(V) Average voltage(Vav): ᎖ႝԣ޻ϐѳ֡ᏹբႝᓸ(V) Maximum voltage(Vmax): ᎖ႝԣ޻ϐനεᏹբႝᓸ(V) Number of series: ᎖ႝԣ޻Սೱኧໆ

ӵკ 2.4.3Ǵ೬ᡏϟय़ޑфૈЬाࢂᡣ٬ҔޣᒡΕᆽႝԣ኱ྗኳಔ(Pack)ϐ ᏹբႝᓸጄൎǴхࡴ VLǵVavᆶ Vmax฻ǶΨёаᒡΕ࠼ᇙᆽႝ࡭୷ҁၗ਑(ႝ

ᆽႝԣኳಔϐᏹբႝᓸǴ໻ሡᒡΕΟঁ୷ҁႝᓸ(VLǵVavǵVmax)ǹѓᜐᒧႽ߯

ଞჹ࠼ᇙႝԣǴЬाᒡΕൂႝ޻ޑΟঁ୷ҁႝᓸаϷᕴՍᖄޑኧໆǶ

კ 2.4. 3 ᆽႝԣкႝႝᓸϐᏹբጄൎ 2.4.3 ᒡр่݀

კ 2.4.4Ǵ྽ PV Specification ϟय़ᆶ Li-Batt Pack Specification ܈ Li-Bat Cell Specificationϟय़ύޑୖኧᒡΕֹ౥ࡕǴջёᗺᔐӧ Result ϟय़ύޑ START ࡪ

ٰ່໒ۈ຾Չϼ໚ૈ݈ޑ੝܄Ԕጕᆶ nMPPO ࡰ኱ीᆉǶϟय़ஒᡉҢҞ߻നཥ

΋฽ޑ܄ૈࡰ኱ኧॶǶाӆ຾ՉಃΒԛа΢ޑीᆉਔǴऩѝ׳ׯ Li-Batt Pack Specification܈ Li-Bat Cell Specification ϟय़ύޑ࣬ᜢୖኧǴ߾ीᆉਔ໔ၨอǴ Ӣࣁϼ໚ૈ݈ؒԖׯᡂǴஒၢၸϼ໚ૈ݈੝܄ԔጕޑीᆉǶӵ݀׳ׯ PV Specificationϟय़ޑୖኧǴ߾೬ᡏޑ཮Ӣሡाख़ཥीᆉϼ໚ૈ݈੝܄ԔጕԶ޸຤

ၨߏޑਔ໔

კ 2.4. 4 nMPPO ϐس಍ϰଛीᆉ่݀ᡉҢϟय़ Voc: ϼ໚ૈ݈ޑ໒ၡႝᓸ(V)

Vmp: ϼ໚ૈ݈നεф౗ᗺႝᓸ(V) dVmp: Vmpډ Vavϐୃ౽ຯᚆ(V)

dVmax: ᆽႝԣϐ Vmaxډ Vmpޑୃ౽ຯᚆ(V) Pmax: ϼ໚ૈ݈നεф౗(W)

PV_L: ᆽႝԣനեᏹբႝᓸ܌ჹᔈޑϼ໚ૈ݈ф౗(W)ǴP(VL) PV_av: ᆽႝԣѳ֡ᏹբႝᓸ܌ჹᔈޑϼ໚ૈ݈ф౗(W)ǴP(Vav)

PV_max: ᆽႝԣനଯᏹբႝᓸ܌ჹᔈޑϼ໚ૈ݈ф౗(W)ǴP(Vmax)

ӵკ 2.4.5Ǵӧ຾Չ nMPPO س಍ϰଛϩ݋ਔǴ΋૓཮ᒧ᏷ٿᅿа΢ϐϼ໚

ૈ݈Ǵ܈ԵቾόӕޑᆽႝԣᏹբႝᓸጄൎǴฅࡕӆճҔ܌ीᆉޑ nMPPO ܄ૈ

ࡰ኱ٰ຾ՉޑຑКаפ൨ന፾೛ीǴࡺҁ೬ᡏගٮΑ΋ঁ༊рϩ݋ኧᏵ߄਱а ᓯӸόӕϰଛޑ܄ૈࡰ኱Ƕ၀߄਱ёа༊рࣁ EXCEL ޑᔞਢ਱ԄǴаБߡ຾

΋؁ϩ݋Ƕ 2.4.4 ᔈҔჴٯ

߄ 2.4.1 ӈрѤᅿόӕೕ਱ޑϼ໚ૈ݈Ǵीᆉచҹ೛ۓࣁᒟ৔ໆ 800W/m²ǵ

݈ྕ 45^oCǴځύ NSP245W ϼ໚ૈ݈၂ᡍޑᆽႝԣࣁ 24V100Ah ႉለႝԣǴځ д 130W ᆶ 60W ϼ໚ૈ݈၂ᡍޑᆽႝԣࣁ 12V100Ah ႉለႝԣǶ

კ 2.4. 6 Ѥᅿϼ໚ૈ݈ϐೕ਱

߄ 2.4. 1 όӕೕ਱ϼ໚ૈ݈ޑ܄ૈࡰ኱

Кၨ΢य़߄ 2.4.1ǴNSP245 ޑϼ໚ૈ݈Ԗ࣬྽ᓬ౦ޑ LmpǴځॶࣁ 0(ᖿ߈ ܭ 0)Ǵж߄ᆽႝԣޑ Vav(26.5V)࣬྽ௗ߈ Vmp(26.9V)ǴԶ Ci(0.34)ပӧࡌကޑ୔

໔ 0 ډ 0.5 ϣǴԜ nMPPO ϰଛߚதௗ߈ϼ໚ૈ݈ޑനεวႝф౗ᗺǴࡺӧ٬Ҕ

΢൳Яૈ୼วචϼ໚ૈ݈ޑวႝૈΚǶ

ԶќѦٿТ 130W ᆶ 60W ޑϼ໚ૈ݈ځ Ciࣣλܭ 0(ॄॶ)Ǵ߄Ңᆽႝԣޑ NSP245 PCM130 ASEC130 ASEC130

Maximum Rating Power (P_max) 245 130 130 130 Wp Open Circuit Voltage (V_oc) 37.62 22 21.66 21.66 V Maximum Power Voltage (V_pm) 30.38 17.7 17.54 17.54 V Short Circuit Current (I_sc) 8.52 8.1 7.93 7.93 A Maximum Power Current (I_mp) 8.07 7.4 7.45 7.45 A Temperature Coefficient of I_sc 0.046 0.046 0.046 0.046 %/K Temperature Coefficient of V_oc -0.313 -0.313 -0.313 -0.313 %/K

Model Irr(W/m²) Tpv(^oC) P_mp V_oc V_mp V_L V_av V_max dV_mp dV_max P_max P_av L_mp r_mp C_i r_oc NSP2

45 800 45 170.5 33.6 26.9 23.5 26.5 29.2 0.4 2.3 157.3 170.2 0 0.01 0.34 0.66 PCM13 800 45 90 19.6 15.7 11.8 13.2 14.4 2.5 -1.3 86.8 80.8 0.1 0.16 -0.33 1.33

ASE

C130 800 45 90.1 19.3 15.5 11.8 13.2 14.4 2.3 -1.1 87.5 81.5 0.1 0.15 -0.29 1.29 PCM

60 800 45 41.21 19.7 16.4 11.8 13.2 14.4 3.2 -2 37.74 34.78 0.16 0.2 -0.61 1.61

Vmaxλܭ VmpǴж߄кႝႝᓸጄൎӧ MPP ѰୁǴVav(ᆽႝԣനதᏹբႝᓸ)όё

ૈၲډ VmpǴnMPPO ૈໆཞѨ཮ቚуǶԶҗܭٿޣޑ Lmpࣣࣁ 0.1Ǵ Vavႝᓸ

ୃᚆ౗ rmpࣁ 0.15~0.16Ǵж߄ nMPPO ࣬ჹܭ MPP ޑૈໆཞѨऊࣁ 16%ѰѓǴ ᆕӝа΢܄ૈࡰ኱ёаΑှډǴԜϼ໚ૈ݈࣬ჹᆽႝԣᏹբႝᓸԶقϼᇻǴӧ nMPPOϰଛࢂၨৡޑǶ

nMPPO ჴᡍᡍ᛾

ࣁᡍ᛾΢࿯ nMPPO س಍ϰଛϩ݋่݀Ǵҁࣴز੝ձ೛ी΋ঁЊѦКჹჴ ᡍѠǴځࢎᄬӵკ 2.5.1Ƕ

კ 2.5. 1 nMPPO ᡍ᛾ჴᡍϐس಍ࢎᄬ

ᒧۓٿТ࣬ӕϼ໚ૈ݈Ǵځύ΋Тϼ໚ૈ݈уΕ MPPT ௓ڋᏔࡕӆ٠ᖄܭ ᆽႝԣǴԶќѦ΋Тϼ໚ૈ݈ޔௗ٠ᖄܭᆽႝԣǴԶٿТϼ໚ૈ݈ӅҔӕ΋ᗭ ᆽႝԣǴаᆢ࡭࣬ӕႝᓸǴ٠Ъ໻ӧ Phase1(ӄΚкႝ໘ࢤ)кႝ຾ՉКჹǴ྽

ᆽႝԣႝᓸௗ߈ႫкႝᓸᗺਔଶЗჴᡍᆶкႝǴ٠ჹᆽႝԣ຾ՉܫႝǴࡑᆽႝ

ԣႝᓸफ़ډ΋ۓำࡋࡕӆᝩុჴᡍǴᆽႝԣႝᓸᆶٿТϼ໚ૈ݈ޑႝࢬа 0.1HzޑೲࡋइᒵᓯӸǴа຾Չϩ݋КၨǶnMPPO ޑ܄ૈࡰ኱Кჹෳ၂ϩ݋Ԗ ٿᅿБݤ(1)ᕓਔ܄ૈǴ(2)Вಕᑈ܄ૈǶໆෳᕓਔޑкႝႝࢬёаϩ݋ nMPPO ᆶ MPP ٿޣޑ܄ૈКǴ

_୬ሺ–ሻ ൌ^{୔౤౉ౌౌోሺ୲ሻ}

୔_౉ౌౌ౐ሺ୲ሻ ൌ ^{୍౤ሺ୲ሻ}

୍_౉ሺ୲ሻ (2.5-1)

җܭϼ໚ᒟ৔Ԅᡂ୏ޑǴቹៜкႝႝࢬޑᛙۓࡋǴӢԜᕓਔ܄ૈК Rn(t)ё ׯаѳ֡ॶٰۓကǺ

ഥ_୬ൌ ^୍ҧ౤

୍ҧ_౉ (2.5-2)

ҧ_୬ᆶҧ_୑ёڗࣁ౽୏ѳ֡ॶǶќѦۓက nMPPO ਏ౗ࣁԄ 2.5-3 ܌ҢǴഥ_୑୔ (ϼ

ᕇளǶ

Ʉ_{୬୑୔୔୓}ൌ ^{୔ഥ౤౉ౌౌో}

୔ഥ_౉ౌ (2.5-3)

Вಕᑈ܄ૈ߾ࢂޔௗໆෳӄϺ܄ૈ٠уаᑈϩٰ؃ளวႝКǺ

ܴ_௡௢ ൌ^{׬ ௉೙ಾುುೀሺ௧ሻௗ௧}

׬ ௉_ಾುು೅ሺ௧ሻௗ௧ ൌ ^{ா೙ಾುುೀ}

ா_ಾುು೅ (2.5-4) ӕኬёۓကӄϺ nMPPO ਏ౗ࣁǺ Ʉ_୬୭ൌ ^{׬ ௉೙ಾುುೀሺ௧ሻௗ௧}

׬ ூ೘೛ൈ௏_೘೛ௗ௧ (2.5-5) 2.5.1 ཥཥВӀ 245Wp ϼ໚ૈ݈

ಃ΋ಔޑჴᡍࢂᒧ᏷ཥВӀޑ NSP245 ϼ໚ૈٰ݈຾ՉКჹෳ၂Ǵځೕ਱

ӵ߄ 2.5.1 ܌ҢǶճҔҁࣴز܌໒วޑ nMPPO س಍ϰଛ೬ᡏ຾ՉӃीᆉǴ೛ۓ ϼ໚ᒟ৔ࣁ 800W/m2 ᆶᏹբྕࡋ 45^oCǴаຠ߈ჴሞ௃׎Ǵᆽႝԣႝᓸᏹጄൎ ࣁ VL=23.5VǵVav=26.4VаϷ Vmax=29.2VǴӧ೭٤చҹΠ܌ीᆉрٰޑ܄ૈࡰ

኱Ϲi=0.34ǵr^oc=0.66ǵLmp=0ǵrmp=0.01Ǵӵ 2.4.4 ࿯܌ॊǴᆉࢂ࣬྽ᓬ౦ޑ nMPPOϰଛǶҗܭٿ঺س಍ӅҔӕ΋ᗭᆽႝԣǴࡺӧวႝໆৡ౦ѝሡाКၨٿ Тϼ໚ૈ݈ᒡрႝࢬջёǴځ่݀ᡉҢٿ঺س಍ޑႝࢬ࣬ৡค൳Ƕ

ӵკ 2.5.3 ܌ҢǴnMPPO س಍ӧҺՖᕓ໔ޑวႝໆᆶ MPP ࣬К൳Яډၲ

90%а΢Ǵӧଯวႝໆਔޑวႝໆ(W)ࣗԿډၲ 100%Ƕკ 2.5.4 ߄Ң nMPPO س

಍ᆶ MPPT س಍ٿޣวႝޑௗ߈ำࡋǴკύޑᗺୃܭ 45^oጕਔǴ྽᎞ѓᜐ߾߄ Ң MPPT س಍КၨӳǴ᎞Ѱᜐ߾߄Ң nMPPO س಍ၨӳǴऩௗ߈ 45^oጕ߾߄Ңٿ ޣৡ౦όεǴࡺҗԜკҭёว౜ٿޣޑৡ౦٠όܴᡉǴҗԜჴෳޑ่݀ᆶ೬ᡏ

ीᆉрٰޑ่݀࣬಄Ƕ

Զӧკ 2.5.5 ࣁӭϺޑКၨෳ၂่݀ǴX ື߄ҢԖး೛ MPPT ௓ڋᏔޑϼ໚

ૈಕᑈวႝໆǴY ືࣁคး೛ MPPT ௓ڋᏔϐϼ໚ૈ݈ᆶԖး೛ MPPT ௓ڋᏔ

Maximum Rating Power (Pmax) 245 Wp Module Efficiency 15 % Open Circuit Voltage (Voc) 37.62 V Maximum Power Voltage (Vpm) 30.38 V Short Circuit Current (Isc) 8.52 A Maximum Power Current (Imp) 8.07 A Temperature Coefficient of Isc 0.046 %/K Temperature Coefficient of Voc -0.313 %/K

߄ 2.5. 1 NSP245 ϼ໚ૈ݈ೕ਱

კ 2.5. 2 NSP245W Кჹෳ၂-྽Вᕓਔวႝໆ

კ 2.5. 3 NSP245 ϐ nMPPO ࣬ჹܭ MPP วႝਏ౗

კ 2.5. 5 NSP245W ೱុѤϺޑಕᑈวႝໆ 2.5.2 ࣽ॥ 130W ϼ໚ૈ݈

ಃΒಔޑჴᡍࢂᒧ᏷ࣽ॥ޑ PCM130 ϼ໚ૈٰ݈຾ՉКჹෳ၂Ǵځೕ਱ӵ ߄ 2.5.2 ܌ҢǶճҔҁࣴز܌໒วޑ nMPPO س಍ϰଛ೬ᡏ຾ՉӃीᆉǴ೛ۓϼ

໚ᒟ৔ࣁ 800W/m2 ᆶᏹբྕࡋ 45oCǴаຠ߈ჴሞ௃׎Ǵᆽႝԣႝᓸᏹጄൎࣁ VL=11.8VǵVav=13.2V аϷ Vmax=14.4VǴӧ೭٤చҹΠ܌ीᆉрٰޑ܄ૈࡰ

኱Ϲi=-0.33ǵroc=1.33ǵLmp=0.1ǵrmp=0.16Ǵӵ 2.4.4 ࿯܌ॊǴᆉࢂ࣬྽όؼޑ nMPPOϰଛǶҗܭٿ঺س಍ӅҔӕ΋ᗭᆽႝԣǴࡺӧวႝໆৡ౦ѝሡाКၨٿ Тϼ໚ૈ݈ᒡрႝࢬջёǴځ่݀ᡉҢٿ঺س಍ޑႝࢬ࣬ৡค൳Ƕ

ӵკ 2.5.7 ܌ҢǴnMPPO س಍ӧҺՖᕓ໔ޑวႝໆᆶ MPP ࣬Кεऊပӧ 85%ѰΞǴѝӧଯวႝໆਔޑวႝໆ(W)ω཮ௗ߈ 90%Ƕӵკ 2.5.8 ܌ҢǴԜس

ၨୃѓǴջ߄Ңၨ MPPT ޑਏ౗ܴᡉၨӳǴҗԜჴෳޑ่݀ᆶ೬ᡏीᆉрٰޑ

่݀࣬྽ௗ߈Ƕ

Զӧკ 2.5.8 ࣁӭϺޑКၨෳ၂่݀Ǵ่݀ᡉҢԜϼ໚ૈ݈ӧ nMPPO س಍

΢ԖၨӭޑวႝཞѨǶ

Maximum Rating Power (Pmax) 130 Wp Module Efficiency 15 %

Open Circuit Voltage (Voc) 22 V Maximum Power Voltage (Vpm) 17.7 V Short Circuit Current (Isc) 8.1 A Maximum Power Current (Imp) 7.4 A Temperature Coefficient of Isc 0.046 %/K Temperature Coefficient of Voc -0.313 %/K

߄ 2.5. 2 ࣽ॥ 130W ϼ໚ૈ݈ೕ਱߄

კ 2.5. 6 PCM130W Кჹෳ၂-྽Вᕓਔวႝໆ

კ 2.5. 8 PCM130 ϐ MPP ᆶ nMPPO ᕓਔวႝКၨ

კ 2.5. 9 PCM130 ϐಕᑈวႝໆཞѨ 2.5.3 ޕӀ ASEC130 ϼ໚ૈ݈

ಃΟಔޑჴᡍࢂᒧ᏷ޕӀޑ ASEC130 ϼ໚ૈٰ݈຾ՉКჹෳ၂Ǵځೕ਱ӵ

߄ 2.5.3 ܌ҢǶճҔҁࣴز܌໒วޑ nMPPO س಍ϰଛ೬ᡏ຾ՉӃीᆉǴ೛ۓϼ

໚ᒟ৔ࣁ 800W/m²ᆶᏹբྕࡋ 45^oCǴаຠ߈ჴሞ௃׎Ǵᆽႝԣႝᓸᏹጄൎࣁ VL=11.8VǵVav=13.2VаϷ Vmax=14.4VǴӧ೭٤చҹΠ܌ीᆉрٰޑ܄ૈࡰ኱

Ϲⁱ=-0.29ǵroc=1.29ǵLmp=0.1ǵrmp=0.15Ǵӵ 2.4.4 ࿯܌ॊǴᆉࢂ࣬྽όؼޑ nMPPOϰଛǶҗܭٿ঺س಍ӅҔӕ΋ᗭᆽႝԣǴࡺӧวႝໆৡ౦ѝሡाКၨٿ Тϼ໚ૈ݈ᒡрႝࢬջёǴځ่݀ᡉҢٿ঺س಍ޑႝࢬ࣬ৡค൳Ƕ

ӵკ 2.5.11ǵკ 2.5.12 ᆶკ 2.5.13 ܌ҢǴҗܭ೭Тϼ໚ૈ݈ޑೕ਱ᆶ೬ᡏ

ीᆉрٰޑ܄ૈࡰ኱ᆶ PCM130 ࣬ৡค൳Ǵࡺځ่݀ҭௗ߈ǴԜϰଛޑԖၨε ޑวႝཞѨǶ

Maximum Rating Power (Pmax) 130 Wp Module Efficiency 14.5 % Open Circuit Voltage (Voc) 21.66 V Maximum Power Voltage (Vpm) 17.45 V Short Circuit Current (Isc) 7.93 A Maximum Power Current (Imp) 7.54 A Temperature Coefficient of Isc 0.046 %/K Temperature Coefficient of Voc -0.313 %/K

߄ 2.5. 3 ASEC130 ϼ໚ૈ݈ೕ਱

კ 2.5. 10 ASEC130W Кჹෳ၂-྽Вᕓਔวႝໆ

კ 2.5. 11 ASEC130 ϐ nMPPO ࣬ჹܭ MPP วႝਏ౗

კ 2.5. 12 PCM130 ϐ MPP ᆶ nMPPO ᕓਔวႝКၨ

2.5.4 ࣽ॥ PCM60

ಃΟಔޑჴᡍࢂᒧ᏷ࣽ॥ޑ PCM60 ϼ໚ૈٰ݈຾ՉКჹෳ၂Ǵځೕ਱ӵ ߄ 2.5.4 ܌ҢǶճҔҁࣴز܌໒วޑ nMPPO س಍ϰଛ೬ᡏ຾ՉӃीᆉǴ೛ۓϼ

໚ᒟ৔ࣁ 800W/m²ᆶᏹբྕࡋ 45^oCǴаຠ߈ჴሞ௃׎Ǵᆽႝԣႝᓸᏹጄൎࣁ VL=11.8VǵVav=13.2VаϷ Vmax=14.4VǴӧ೭٤చҹΠ܌ीᆉрٰޑ܄ૈࡰ኱

Ϲⁱ=-0.61ǵroc=1.61ǵLmp=0.16ǵrmp=0.2Ǵӵ 2.4.4 ࿯܌ॊǴᆉࢂ࣬྽όؼޑ nMPPOϰଛǶҗܭٿ঺س಍ӅҔӕ΋ᗭᆽႝԣǴࡺӧวႝໆৡ౦ѝሡाКၨٿ Тϼ໚ૈ݈ᒡрႝࢬջёǴځ่݀ᡉҢٿ঺س಍ޑႝࢬ࣬ৡค൳Ƕ

ӵკ 2.5.15ǵკ 2.5.16 ᆶკ 2.5.17 ܌ҢǴҗܭ೭Тϼ໚ૈ݈ޑೕ਱ᆶ೬ᡏ

ीᆉрٰޑ܄ૈࡰ኱ᆶ PCM130 ᆶ ASEC130 ׳ৡǴࡺځ่݀ҭௗ߈ǴԜϰଛ ޑԖ׳εޑวႝཞѨǶ

Maximum Rating Power (Pmax) 60 Wp Module Efficiency 15 % Open Circuit Voltage (Voc) 22 V Maximum Power Voltage (Vpm) 18.43 V Short Circuit Current (Isc) 3.518 A Maximum Power Current (Imp) 3.316 A Temperature Coefficient of Isc 0.046 %/K Temperature Coefficient of Voc -0.313 %/K

߄ 2.5. 4 PCM60 ϼ໚ૈ݈ೕ਱

კ 2.5. 14 PCM60W Кჹෳ၂-྽Вᕓਔวႝໆ

კ 2.5. 15 PCM60 ϐ nMPPO ࣬ჹܭ MPP วႝਏ౗

კ 2.5. 16 PCM60 ϐ MPPT ᆶ nMPPO ᕓਔวႝКၨ

კ 2.5. 17 PCM60 ϐಕᑈวႝໆཞѨ

ಃΟകġ ᎖ႝԣ୏ᄊس಍᛽ձ

ϼ໚ૈ݈ኳಔኧᏢኳࠠ

ҁക࿯܌Ҕၰޑϼ໚ૈኳಔϐኧᏢኳࠠӵ 2.3 ࿯܌ॊǴฅԶӧ຾Չኳࠠ

ਔǴऩޔௗ஥ΕϦԄѐीᆉஒ཮઻຤ϼӭਔ໔Ǵࡺҁ࿯ޑϼ໚ૈኳಔኳࠠӧ٬

Ҕਔஒځ߄਱ϯǴջႣӃஒҺՖᒟ৔ໆ(а 5W/m²໔႖ࣁ΋ಔ)ϐႝᓸ-ႝࢬ੝܄

Ԕጕ؃р٠ࡌҥ߄਱Ǵࡑ຾Չس಍ኳᔕਔӆஒаࢗ߄ޑБԄᕇள၀ᒟ৔ໆΠޑ

੝܄ԔጕǴӵԜ΋ٰёஒኳᔕޑਔ໔ε൯ᕭอǶ

᎖ႝԣ୏ᄊኳࠠᆶس಍᛽ձ

᎖ႝԣԖၨεޑૈໆஏࡋکф౗ஏࡋǴ೏ቶݱᔈҔܭႝηౢࠔύǶᔈҔܭ ϼ໚ૈس಍ਔǴѸ໪Ӄࡌҥ᎖ႝԣޑ୏ᄊኳࠠǴҔаඓඝ᎖ႝԣޑ੝܄ᡂϯǶ

კ 3.2. 1 ᎖ႝԣϐ฻ਏႝၡኳࠠ

᎖ႝԣޑ฻ਏႝၡ่ᄬࢂҗ΋ঁՍᖄႝಔ RsǵՍᖄ RC ٠ᖄႝၡᆶ᎖ႝԣ ໒ၡႝᓸ OCV ܌ಔԋ[11]Ǵ᏾ᡏٰ࣮ࣁ΋ঁΒ໘س಍Ǵკ 3.2.1 ࣁ᎖ႝԣޑ฻

ਏႝၡኳࠠǶ

᎖ႝԣϣ೽ύޑୖኧ OCVǵRsǵR1ǵC1ǵR2ǵC2ӧкႝၸำύ٠ߚߥ࡭ό ᡂǴӧόӕޑ SOC(State of Charge)Π೭٤ୖኧࣣό࣬ӕǶ२ӃѸ໪Ӄෳໆႝԣ

ႝᓸᆶ SOC ޑᜢ߯Ǻ

(i) ஒ᎖ႝԣ SOC ܫႝԿ 0%

(ii) ۓႝࢬкႝǴ؂྽᎖ႝԣ SOC кႝԿ 10%ࡕଶЗкႝ٠ᓉ࿼ 30 ϩដ ٠૶ᒵٿᆄ໒ၡႝᓸǶ

(iii) ख़ፄ؁ᡯ(ii)ޔډ᎖ႝԣ SOC кႝԿ 100%ࣁЗǶ

კ 3.2. 2 PCT ჴᡍइᒵᏔ

җܭ᎖ႝԣޑᆄႝᓸᡂϯໆၨλǴЪᡂϯזೲǴ܌٬Ҕޑ૶ᒵᏔှ݋ࡋሡ

ाၨଯǴҁࣴز໒วΑ΋঺ଯှ݋ࡋᆶଯ௦ኬਔ໔ϐൂ Channel ૶ᒵᏔǴӵკ 3.2.2ǴԜइᒵᏔޑှ݋ࡋࣁ 12bitǴෳໆႝᓸጄൎࣁ 0 ډ 5VǴΨ൩ࢂᇥ૶ᒵᏔ ஒ 0 ډ 5V ޑႝᓸϩപࣁ 4096 ฻ҽǴനλёෳໆډޑႝᓸᡂϯࣁ 0.002VǴ᎖ႝ

ԣޑႝᓸᡂϯࣁ 2.8V~3.65VǴࡺѝा૶ᒵᏔޑှ݋ࡋёаղᘐډλኧᗺаΠಃ

ΒՏ߾ى୼Ҕٰᢀჸ᎖ႝԣޑႝᓸᡂϯǶ

კ 3.2. 3 PSI15Ah ᎖ႝԣ

ӧҁࣴزύǴᒧ᏷ܹ໚ PSI ᎖ႝԣ 15Ah ޑႝ޻ӵკ 3.2.3Ǵӧܫႝϐ߻Ӄ ஒԜႝԣкႝԿ SOC100%ࡕӆаۓႝࢬ 3 Ӽ୻ܫႝ 5 λਔǴջа 0.2C ܫႝǴ നಖஒ᎖ႝԣޑ SOC ஒफ़Կ 0%Ǵฅࡕ຾Չ PCT(Pulse charge test)ჴᡍǶ

კ 3.2. 4 PCT س಍ଛጕკ

კ 3.2.4 ࣁჴᡍଛጕკǴPCT ჴᡍύஒкႝϐႝࢬа 0.2C кႝ 30 ϩដࡕଶ З٠ᓉ࿼ 30 ϩដǴԶ૶ᒵᏔϐ௦ኬਔ໔໔႖ࣁ 0.2 ٰࣾ૶ᒵႝᓸᡂϯǴख़ፄൻ ᕉ 10 ԛǴჴᡍϐᕴਔ໔ࣁ 10 λਔǴკ 3.2.5 ࣁ᎖ႝԣ຾Չ PCT ޑჴᡍ่݀Ƕ

კ 3.2. 5 PCT ჴᡍ่݀ϐႝᓸᡂϯ

კ 3.2.5 ύ؂λਔࣣԖٿঁ࣬ϸޑႝᓸᡂϯБӛǴऩБӛࣁ΢ϲ߄Ң҅ӧк

ႝǴϸϐऩБጕΠफ़߄Ң҅ӧᓉ࿼ύǶჴᡍ่݀ёаว౜кႝਔႝᓸᡂϯޑԔ ጕ٠ߚᒥൻ΋ঁڰۓೕࡓǴϸԶӧᓉ࿼ਔޑԔጕࣣև౜ڂࠠޑ RC ႝၡኳࠠᆶ

ၨࣁόܴᡉޑႝᓸ௹౗Ƕ

კ 3.2. 6 PCT ჴᡍϐ SOC 50%ႝᓸᡂϯ

კ 3.2. 7 όӕ SOC Πޑ᎖ႝԣႝᓸᡂ੝܄Ԕጕ

ӧკ 3.2.6 ύǴU1ډ U2ޑᡂϯ௹౗ࢂҗ᎖ႝԣ฻ਏႝၡύޑ Rs೷ԋޑ่

݀ǴRs ޑॶёҗԄ 3.2-2 ؃рǴځύ I ࣁჴᡍޑႝࢬǴҁჴᡍޑႝࢬ I=3AǹU2

ډ U3ޑႝᓸԔጕջࣁڂࠠޑ RC ٠ᖄႝၡǴԖΑ೭చԔጕջёճҔ MALTAB ύޑ Curve fitting toolbox ஒ᎖ႝԣ฻ਏႝၡύޑ R1ǵC1ǵR2ǵC2ୖኧаጕ܄ᔕ

3.2.8ډკ 3.2.10 ࣁόӕ SOC Π᎖ႝԣ฻ਏႝၡϐϣ೽ୖኧॶǶ

_ୱ ൌ _ଵെ _ଶ (3.2-1)

_ୱ ൌ^୚౩

୍ (3.2-2)

_ୖେ ൌ _ଵ൅ _ଶ (3.2-3)

_୬ ൌ  ൈ _୬‡^ି

భ

౎౤ి౤୲

ǡ  ൌ ͳǡʹ (3.2.4)

SOC Rs R1 C1 R2 C2 OCV

10% 0.0044 0.003127 160103.7 0.004931 9392.051 3.2327 20% 0.0044 0.003598 137232.9 0.004633 8649.264 3.2891 30% 0.0044 0.003518 135304.7 0.004352 9101.258 3.3107 40% 0.0044 0.003512 116207.8 0.004747 7973.471 3.3119 50% 0.0044 0.003787 141114.1 0.006384 7241.408 3.3143 60% 0.0044 0.003602 104012.9 0.00512 5980.713 3.3419 70% 0.0056 0.004775 123216 0.007612 5408.519 3.3467 80% 0.0076 0.006 87301.15 0.009924 4225.097 3.3467 90% 0.0096 0.00873 56218.64 0.016922 2516.614 3.3467 100% 0.0116 0.016215 26473.32 0.030342 1683.356 3.3503

߄ 3.2. 1 όӕ SOC Π᎖ႝԣϣ೽ୖኧॶ

კ 3.2. 8 όӕ SOC ޑ OCV ᆶ Rs

კ 3.2. 9 όӕ SOC Πޑ R1ǵC1

კ 3.2. 10 όӕ SOC Πޑ R2ǵC2

ಃѤകġ ᎖ႝԣ٠ᖄႝ৒ϐϼ໚ૈкႝቚமϩ݋

᎖ႝԣ٠ᖄႝ৒ϐϼ໚ૈкႝس಍ኳࠠ

җಃΟകύճҔ PCT ჴᡍБݤפр᎖ႝԣ฻ਏႝၡϣ೽ୖኧࡕǴջёаճ Ҕ೭٤ୖኧٰࡌҥ᎖ႝԣޑႝတኳᔕϐ᎖ႝԣኳࠠᆶϼ໚ૈ݈ኳࠠǴҁኳᔕࢂ

ճҔ঺း೬ᡏ MATLAB ύޑ Simulink ٰ຾ՉǴځύӧࡌҥ᎖ႝԣ٠ᖄႝ৒ϐ кႝس಍ኳࠠ߻ǴѸ໪Ӄࡌҥ᎖ႝԣϐ Simulink ޑኳࠠǴ२ӃѸ໪Ӄࡌҥӧ฻

ਏႝၡύόӕႝၡՏ࿼ޑኳࠠǴࡌҥᇥܴӵΠǺ 4.1.1 ᎖ႝԣޑ simulink ኳࠠ

(1) SOCीᆉኳࠠ

 ൌ _଴൅ ׬_ଷ଺଴଴^୍ †– (4.1-1)

კ 4.1. 1 SOC ϐ Simulink Block diagram

᎖ႝԣϐ SOC ीᆉϦԄӵԄ 4.1.1 ܌ҢǴ߃ۈޑ SOC0ӆу΢ႝࢬᒿਔ໔ ޑᑈϩǴҗܭҁჴᡍ܌٬Ҕޑ᎖ႝԣࣁ 15Ah ࡺӧᑈϩਔஒа 15Ah ஥Ε SOC ኳٰࠠीᆉǶ

(2) OCV ኳࠠ

җ PCT ჴᡍ่݀ёаᢀჸډǴ᎖ႝԣ OCV ޑᡂϯᆶ SOC ޑᜢ߯٠ߚልႉ

ለႝԣ૓Ԗ๱ؼӳޑጕ܄ᜢ߯Ǵࡺӧ຾Չኳᔕਔѝૈ٬Ҕጕ܄ᔕӝޑБԄפр ӝ፾ޑԔጕǴӵԄ 4.1-2Ƕ

 ൌ ͵ǤͲ͹Ͷ ൅ ͳǤ͵͸ͳ ൈ  െ ʹǤʹ͵Ͷ ൈ ^ଶ ൅ ͳǤͳ͸ʹ ൈ ^ଷ (4.1-2)

კ 4.1. 2 OCV ϐ Simulink Block diagram (3) RC٠ᖄႝၡኳࠠ

Ԝኳࠠ཮٬Ҕډ೸ၸ PCT ჴᡍБݤளډޑ R1ǵC1ǵR2ᆶ C2ॶǴՠӆόӕ ޑ SOC Π೭٤ୖኧॶࣣคؼӳޑጕ܄ᜢ߯Ǵࡺӧ຾Չኳᔕਔѝૈ٬Ҕጕ܄ᔕӝ ޑБԄפрӝ፾ޑԔጕӵԄ 4.1-3~4.1-6ǶԄ 4.1-9 ࣁ RC ٠ᖄႝၡϐ܎МᙯඤǴ ӆճҔ೭ᜢ߯ࢂࡌҥӵკ 4.1.4 ϐ Block diagramǶ

_ଵ ൌ ͲǤͲͲ͵ െ ͲǤͲͲ͸ ൈ  ൅ ͲǤͲͷ͵ ൈ ^ଶെ ͲǤͳʹʹ ൈ ^ଷ൅ ͲǤͲͺͺ ൈ ^ସ (4.1-3)

_ଵ ൌ ͻǤ͸ͻͳ െ ʹǤ͵Ͳͺ ൈ  െ ͻǤ͸ͻͲ ൈ ^ଶെ ʹǤ͵Ͳͻ ൈ ^ଷ (4.1-4)

_ଶ ൌ ͲǤͲͲͷ െ ͲǤͲͲͳ ൈ  െ ͲǤͲͶͺ ൈ ^ଶ൅ ͲǤʹʹͷ ൈ ^ଷെ ͲǤ͵͹Ͳ ൈ ^ସ ൅ ͲǤʹͳ͹ ൈ ^ହ (4.1-5)

_ଶ ൌ െͶǤͷͲͺ ൅ ͲǤ͹Ͳ͵ ൈ  ൅ ͶǤͷͲͻ ൈ ^ଶ ൅ ͲǤ͹Ͳʹ ൈ ^ଷ (4.1-6)

კ 4.1. 3 RC ฻ਏႝၡኳࠠϐ Simulink Block diagram (1)

კ 4.1. 4 RC ฻ਏႝၡኳࠠϐ Simulink Block diagram (2)

 ൌ

ோ_೙

൅ ݏܥ

ܸ

(4.1.7)

ூ

௦஼_೙

ൌ

௦ோ_೙஼_೙

൅ ܸ

(4.1.8)

׵ ܸ

ൌ ቀ

ቁ ቂ

೙

െ

೙஼_೙

ቃ ǡ  ൌ ͳǡʹ (4.1-9)

(4) VSኳࠠ

җ PCT ჴᡍ่݀ёаᢀჸډǴ᎖ႝԣ Rsޑᡂϯᆶ SOC ޑᜢ߯٠ߚԖ๱ؼ ӳޑጕ܄ᜢ߯Ǵࡺӧ຾Չኳᔕਔѝૈ٬Ҕጕ܄ᔕӝޑБԄפрӝ፾ޑԔጕǴӵ Ԅ(4.1-10)ǶԶ Vsॶ߾ࣁ Rsᆶ࿶ၸႝࢬϐ४ᑈǴკ 4.1.5 ᆶԄ 4.1-11 ܌ҢǶ

_௦ ൌ ͲǤͲͲͷ െ ͲǤͲͲͳ ൈ  െ ͲǤͲͲ͸ ൈ ^ଶ൅ ͲǤͲͳͷ ൈ ^ଷ (4.1-10)

ܸ_௦ ൌ ܫ ൈ ܴ_௦ (4.1-11)

კ 4.1. 5 όӕ SOC Πޑ Vsϐ Simulink Block diagram