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After the absorption of the photons, during the photovoltaic conversion process, one part of the radiation remains unabsorbed causing the cell to overheat and thus a drop in efficiency. The purpose of this study is to explore the effect of junction temperature, geographic coordinates as well as the season on the electrical performance of the photovoltaic cell.
❱❖▲❯▼❊✿ ✷ | ■❙❙❯❊✿ ✷ | ✷✵✶✽ | ❏✉♥❡ ❊❢❢❡❝t ♦❢ ❏✉♥❝t✐♦♥ ❈❡❧❧ ❚❡♠♣❡r❛t✉r❡ ❛♥❞ ●❡♦❣r❛♣❤✐❝❛❧ ❈♦♦r❞✐♥❛t❡s ♦♥ ❚❤❡ ❊❧❡❝tr✐❝❛❧ P❡r❢♦r♠❛♥❝❡s ♦❢ ❛ P❤♦t♦✈♦❧t❛✐❝ ▼♦❞✉❧❡ 1,∗ ❈✳ ❇❖❯❚●❍❆◆ ✱ ❖✳ ❑❍❖▲❆■ ✱ ❙✳ ❇❊◆❆❚❚❆▲❆❍ ❋❛❝✉❧t② ♦❢ t❤❡ ❡①❛❝t s❝✐❡♥❝❡s✱ ❧❛❜♦r❛t♦r② ♦❢ ❊♥❡r❣❡t✐❝ P❤②s✐❝s✱ ▼❡♥t♦✉r✐ ❇r♦t❤❡rs ❯♥✐✈❡rs✐t②✱ ❈♦♥st❛♥t✐♥❡ ✶✱ ❆❧❣❡r✐❛ ❉❡♣❛rt♠❡♥t ♦❢ ❚r❛♥s♣♦rt ❊♥❣✐♥❡❡r✐♥❣✱ ▼❡♥t♦✉r✐ ❇r♦t❤❡rs ❯♥✐✈❡rs✐t②✱ ❈♦♥st❛♥t✐♥❡ ✶✱ ❆❧❣❡r✐❛ ✯❈♦rr❡s♣♦♥❞✐♥❣ ❆✉t❤♦r✿ ❈✳ ❇❖❯❚●❍❆◆ ✭❡♠❛✐❧✿ ❜♦✉t❛❣❤❛♥❡❝❤❡r✐❢❛❅②❛❤♦♦✳❢r✮ ✭❘❡❝❡✐✈❡❞✿ ✶✻✲▼❛r❝❤✲✷✵✶✽❀ ❛❝❝❡♣t❡❞✿ ✶✵✲❏✉❧②✲✷✵✶✽❀ ♣✉❜❧✐s❤❡❞✿ ✷✵✲❏✉❧②✲✷✵✶✽✮ ❆❜str❛❝t✳ ❆❢t❡r t❤❡ ❛❜s♦r♣t✐♦♥ ♦❢ t❤❡ ♣❤♦t♦♥s✱ ❞✉r✐♥❣ t❤❡ ♣❤♦t♦✈♦❧t❛✐❝ ❝♦♥✈❡rs✐♦♥ ♣r♦❝❡ss✱ ♦♥❡ ♣❛rt ♦❢ t❤❡ r❛❞✐❛t✐♦♥ r❡♠❛✐♥s ✉♥❛❜s♦r❜❡❞ ❝❛✉s✲ ✐♥❣ t❤❡ ❝❡❧❧ t♦ ♦✈❡r❤❡❛t ❛♥❞ t❤✉s ❛ ❞r♦♣ ✐♥ ❡✣✲ ❝✐❡♥❝②✳ ❚❤❡ ♣✉r♣♦s❡ ♦❢ t❤✐s st✉❞② ✐s t♦ ❡①♣❧♦r❡ t❤❡ ❡✛❡❝t ♦❢ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡✱ ❣❡♦❣r❛♣❤✐❝ ❝♦✲ ♦r❞✐♥❛t❡s ❛s ✇❡❧❧ ❛s t❤❡ s❡❛s♦♥ ♦♥ t❤❡ ❡❧❡❝tr✐❝❛❧ ♣❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ♣❤♦t♦✈♦❧t❛✐❝ ❝❡❧❧✳ ❚❤❡ r❡s✉❧ts ♦❜t❛✐♥❡❞ s❤♦✇ t❤❛t t❤❡ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ❤❛s ❛♥ ❡✛❡❝t ✇❤✐❝❤ ✐s ♥♦t ❢❛✈♦r❛❜❧❡ ♦♥ t❤❡ ❡❧❡❝tr✐✲ ❝❛❧ ❡✣❝✐❡♥❝② ♦❢ t❤❡ ♠♦❞✉❧❡ ❢♦r ❤✐❣❤ t❡♠♣❡r❛✲ t✉r❡s ❛r♦✉♥❞ ♠✐❞❞❛② ✇❤✐❝❤ ✐s ♦❢ ✶✶✪ ❤♦✇❡✈❡r ✐t r❡❛❝❤❡s ✶✹✪ ❢♦r ❧♦✇ t❡♠♣❡r❛t✉r❡s ✐♥ t❤❡ ♠♦r♥✲ ✐♥❣✳ ●❡♦❣r❛♣❤✐❝❛❧ ❝♦♦r❞✐♥❛t❡s ❛t ❞✐✛❡r❡♥t ❛❧t✐✲ t✉❞❡s✱ ❤❛✈❡ ♥♦ ❡✛❡❝t ♦♥ t❤❡ ❡♥❡r❣② ♣r♦❞✉❝❡❞ ❢r♦♠ t❤❡ ♠♦❞✉❧❡✱ ❜✉t t❤❡ ❡✛❡❝t ♦❢ t❤❡ s❡❛s♦♥ ♦♥ t❤❡ ❡❢✲ ✜❝✐❡♥❝② ❝♦♥✜r♠s t❤❡ ♣r❡✈✐♦✉s r❡s✉❧ts✱ t❤❛t✱ t❤❡ ❡✣❝✐❡♥❝② ✐s ❣♦♦❞ ❢♦r ❧♦✇ t❡♠♣❡r❛t✉r❡s✳ ❚❤❡ r❡✲ s✉❧ts ❛r❡ ♦❜t❛✐♥❡❞ ❜② s✐♠✉❧❛t✐♦♥✱ t❤r♦✉❣❤ ❛ ❝♦♠✲ ♣✉t❡r ❝♦❞❡ ✐♥ ❋❖❘❚❘❆◆ ❧❛♥❣✉❛❣❡✱ ❞❡s✐❣♥❡❞ ❢♦r t❤✐s ♣✉r♣♦s❡✳ ❑❡②✇♦r❞s ✶✳ ■◆❚❘❖❉❯❈❚■❖◆ ❈✉rr❡♥t❧② t❤❡ ✉s❡ ♦❢ r❡♥❡✇❛❜❧❡ ❡♥❡r❣✐❡s ❛s ❛♥ ❛❧t❡r♥❛t✐✈❡ s♦✉r❝❡ ♦r ❡✈❡♥ ❛s ❛ ♠❛✐♥ s♦✉r❝❡ ♦❢ ❡♥❡r❣② ❤❛s s♣r❡❛❞ ❣r❡❛t❧②✱ ♣❛rt✐❝✉❧❛r❧② ✐♥ r❡♠♦t❡ ❛r❡❛s ✇❤❡r❡ t❤❡ ❞✐str✐❜✉t✐♦♥ ♦❢ ❝♦♥✈❡♥t✐♦♥❛❧ ❡❧❡❝✲ tr✐❝✐t② ✐s ♥♦t ❣✉❛r❛♥t❡❡❞✳ ❚❤❡ ♠♦st ❝♦♠♠♦♥ ♣r✐♠❛r② s♦✉r❝❡ ❢♦r t❤❡ s✉♣♣❧② ♦❢ r❡♥❡✇❛❜❧❡ ❡♥✲ ❡r❣② ✐s s♦❧❛r ❡♥❡r❣② ❜② ♠❡❛♥s ♦❢ s♦❧❛r ♣❛♥❡❧s ❬✶✻❪✳ ❊①tr❛❝t✐♥❣ ♣♦✇❡r ❢r♦♠ t❤❡s❡ r❡s♦✉r❝❡s r❡q✉✐r❡s ❢✉rt❤❡r r❡s❡❛r❝❤ ❛♥❞ ❞❡✈❡❧♦♣♠❡♥t t♦ ✐♥❝r❡❛s❡ r❡✲ ❧✐❛❜✐❧✐t②✱ r❡❞✉❝❡ ❝♦sts ✭♠❛♥✉❢❛❝t✉r✐♥❣✱ ✉s❡ ❛♥❞ r❡❝②❝❧✐♥❣✮ ❛♥❞ ✐♥❝r❡❛s❡ ❡♥❡r❣② ❡✣❝✐❡♥❝② ❬✶✾❪✳ P❤♦t♦✈♦❧t❛✐❝ s♦❧❛r ❝❡❧❧s ❛r❡ ✉s❡❞ t♦ ❝♦♥✈❡rt s✉♥❧✐❣❤t ❡♥❡r❣② ✐♥t♦ ❡❧❡❝tr✐❝❛❧ ❡♥❡r❣② ❬✺❪✳❚❤❡ ♣❤♦t♦✈♦❧t❛✐❝ ❡✛❡❝t ✉s❡❞ ✐♥ s♦❧❛r ❝❡❧❧s ♠❛❦❡s ✐t ♣♦ss✐❜❧❡ t♦ ❞✐r❡❝t❧② ❝♦♥✈❡rt t❤❡ ❧✐❣❤t ❡♥❡r❣② ✭♣❤♦t♦♥s✮ ❢r♦♠ t❤❡ s✉♥ r❛②s ✐♥t♦ ❡❧❡❝tr✐❝✐t②✳ ❲❤❡♥ t❤❡ ♣❤♦t♦♥s str✐❦❡ ❛ t❤✐♥ s✉r❢❛❝❡ ♦❢ ❛ s❡♠✐✲ ❝♦♥❞✉❝t♦r ♠❛t❡r✐❛❧ ✭s✐❧✐❝♦♥✮✱ t❤❡② tr❛♥s❢❡r t❤❡✐r ❡♥❡r❣② t♦ t❤❡ ❡❧❡❝tr♦♥s ♦❢ ♠❛tt❡r✳ ❚❤❡② t❤❡♥ ♠♦✈❡ ✐♥ ❛ ♣❛rt✐❝✉❧❛r ❞✐r❡❝t✐♦♥✱ ❝r❡❛t✐♥❣ ❛♥ ❡❧❡❝✲ tr✐❝❛❧ ❝✉rr❡♥t✳ ❆❝❝♦r❞✐♥❣ t♦ t❤❡ ❧✐t❡r❛t✉r❡✱ t❤❡ ❡✛❡❝t ♦❢ s❡✈✲ ❡r❛❧ ♣❛r❛♠❡t❡rs ♦♥ t❤❡ ❝❤❛r❛❝t❡r✐st✐❝ ❛♥❞ ❡❧❡❝✲ tr✐❝❛❧ ❜❡❤❛✈✐♦r ♦❢ ❛ s♦❧❛r ❝❡❧❧ ✐s st✉❞✐❡❞✱ s✉❝❤ ▼♦❞❡❧✐♥❣ s♦❧❛r ❝❡❧❧✱ ♣❤♦t♦✈♦❧t❛✐❝ ♣❛♥❡❧✱ ❛s t❤❡ ✐♥✢✉❡♥❝❡ ♦❢ s♦❧❛r ✐rr❛❞✐❛♥❝❡ ❛♥❞ ❛♠❜✐❡♥t s♦❧❛r ✜❡❧❞✳ t❡♠♣❡r❛t✉r❡ ♦♥ t❤❡ ♦♣t✐♠❛❧ r❡s✐st❛♥❝❡ ♦❢ ❛ P❱ ❣❡♥❡r❛t♦r ❬✶✼❪✳ ✾✹ ❝ ✷✵✶✼ ❏♦✉r♥❛❧ ♦❢ ❆❞✈❛♥❝❡❞ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❛t✐♦♥ ✭❏❆❊❈✮ ❱❖▲❯▼❊✿ ✷ | ■❙❙❯❊✿ ✷ | ✷✵✶✽ | ❏✉♥❡ ❬✻❪✱ t❛❦✐♥❣ ✐♥t♦ ❛❝❝♦✉♥t t❤❡ ❡♥✈✐r♦♥♠❡♥t❛❧ ♣❛✲ ✧❈◆P❱✲✺✵▼✧✱ ♠♦✉♥t❡❞ ✐♥ s❡r✐❡s✳ ❊❛❝❤ ♠♦❞✲ r❛♠❡t❡rs r❡❧❛t✐♥❣ t♦ ✐❧❧✉♠✐♥❛t✐♦♥ ❛♥❞ ❛♠❜✐❡♥t ✉❧❡ ❝♦♥s✐sts ♦❢ ✭✸✻ ❝❡❧❧s✮✱ ✇❤♦s❡ ❝❤❛r❛❝t❡r✐st✐❝s t❡♠♣❡r❛t✉r❡ ♦♥ t❤❡ ❝❤❛r❛❝t❡r✐st✐❝ ❜❡❤❛✈✐♦r ♦❢ s❤♦✇♥ ✐♥ t❛❜❧❡✳✶✳ t❤❡ P❱ ❝❡❧❧✱ ❆✳ ❑❤❛❧✐❢❛ ❡t ❛❧✳ ❬✼❪✱ ♣r❡s❡♥ts t❤❡ r❡s✉❧ts ♦❢ ❤✐s ✇♦r❦ ♦♥ t❤❡ ❡✛❡❝t ♦❢ ❥✉♥❝t✐♦♥ t❡♠✲ ♣❡r❛t✉r❡ ✭❝❡❧❧✮✳ ❚❤❡ ✐♥❝r❡❛s❡ ♦❢ t❤❡ ❧❛tt❡r✱ ✇❤✐❝❤ ✇✐❧❧ ❝❛✉s❡ t❤❡ ❞r♦♣ ✐♥ t❤❡ ❝❡❧❧✬s ❡❧❡❝tr✐❝❛❧ ❡✣✲ ❝✐❡♥❝②✱ ✐s ❞✉❡ t♦ t❤❡ ♣❛rt ♦❢ t❤❡ r❛❞✐❛t✐♦♥ ♥♦t ❛❜s♦r❜❡❞ ❜② t❤❡ ❝❡❧❧s ❬✼❪✳ ❬✽❪ ❤❛s st✉❞✐❡❞ t❤❡ ❝❤❛r❛❝t❡r✐③❛t✐♦♥ ♦❢ t❤❡ ❡❧❡❝✲ tr✐❝❛❧ ♦♣❡r❛t✐♦♥ ♦❢ P❱ ♣❛♥❡❧s✳ ❆❝❝♦r❞✐♥❣ t♦ t❤❡s❡ r❡s✉❧ts✱ ✇❤❡♥ t❤❡ r❛❞✐❛t✐♦♥ ✈❛r✐❡s ❜❡t✇❡❡♥ 300 ❲✴♠✷ ❛♥❞ 900 ❲✴♠✷ ✱ t❤❡ ♦♣t✐♠✉♠ ✈♦❧t❛❣❡ ❞❡❝r❡❛s❡s ❜② ✶✵✳✷✪✳ ❚❤❡ ✇♦r❦ ♦❢ ❬✾❪ ♦♥ P❱ ♠♦❞✉❧❡s ♣❡r❢♦r♠❛♥❝❡ ❞❡❣r❛❞❛t✐♦♥ ✐♥ t❤❡ ❙❛❤❛r❛♥ ❡♥✈✐r♦♥♠❡♥t s❤♦✇❡❞ t❤❛t t❤❡ ❡✣❝✐❡♥❝② ❧♦st ✶✾✪ ♦❢ ✐ts ✐♥✐t✐❛❧ ✈❛❧✉❡✳ ❚❤❡ ♠❛✐♥ ♦❜❥❡❝t✐✈❡ ♦❢ t❤✐s ✇♦r❦ ✐s t♦ st✉❞② t❤❡ ✐♥✢✉❡♥❝❡ ♦❢ t❤❡ ❣❡♦❣r❛♣❤✐❝ ❝♦♦r❞✐♥❛t❡s ❛♥❞ t❤❡ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ♦♥ t❤❡ ♣❡r❢♦r♠❛♥❝❡s ♦❢ ❛ ♣❤♦t♦✈♦❧t❛✐❝ ♠♦❞✉❧❡ ❛♥❞ t❤❡r❡❢♦r❡ ♣r♦✈✐❞❡ r❡❝✲ ♦♠♠❡♥❞❛t✐♦♥s t♦ ♦✈❡r❝♦♠❡ t❤❡ ✉♥❢❛✈♦r❛❜❧❡ ❡❢✲ ❢❡❝t ♦❢ t❤❡ ❧❛tt❡r✳ ❋✐❣✳ ✶✿ ✷✳✷✳ ●❡♥❡r❛❧ ❱✐❡✇ ♦❢ ❛ ♣❤♦t♦✈♦❧t❛✐❝ ♠♦❞✉❧❡ ▼♦❞❡❧✐♥❣ ♦❢ t❤❡ s♦❧❛r ✜❡❧❞ ❚❤❡ st✉❞② ♦❢ t❤❡ s♦❧❛r ♣♦t❡♥t✐❛❧ ✐s t❤❡ st❛rt✐♥❣ ♣♦✐♥t ♦❢ ❛♥② st✉❞② ❝♦♥❝❡r♥✐♥❣ t❤❡ ❞✐♠❡♥s✐♦♥✐♥❣ ♦❢ ❛ s♦❧❛r ✐♥st❛❧❧❛t✐♦♥ ♦r ♦❢ ❛♥ ❡♥❡r❣② s②st❡♠✳ ❚❤❡♥✱ ✐t ✐s ♥❡❝❡ss❛r② t♦ ❦♥♦✇ t❤❡ ♠❡t❡♦r♦❧♦❣✐❝❛❧ ✇❡❛t❤❡r ❝♦♥❞✐t✐♦♥s ♦❢ t❤❡ s✐t❡ ♦❢ ✐♠♣❧❛♥t❛t✐♦♥ t♦ ❡✈❛❧✉❛t❡ ❛♥❞ t♦ ❡st✐♠❛t❡ t❤❡ s♦❧❛r ♣♦t❡♥t✐❛❧ ❬✶✵❪✳ ■♥ ❆❧❣❡r✐❛✱ t❤❡ ♥✉♠❜❡r ♦❢ st❛t✐♦♥s t♦ ❛ss❡ss t❤❡ s♦❧❛r ✜❡❧❞ ✐s ✈❡r② ❧✐♠✐t❡❞ ❬✶✶❪✳ ❈❡rt❛✐♥ ❛♣✲ ▼❖❉❊▲■◆● ♣r♦❛❝❤❡s ❛r❡ ✉s❡❞ t♦ ♣r❡❞✐❝t t❤❡ ❝❤❛r❛❝t❡r✐st✐❝s ♦❢ s♦❧❛r r❛❞✐❛t✐♦♥ ❬✶✷❪✳ ❙❡✈❡r❛❧ ♠♦❞❡❧s ❡①✐st ❢♦r ✷✳✶✳ ❙②st❡♠ ❞❡s❝r✐♣t✐♦♥ t❤❡ ❡st✐♠❛t✐♦♥ ♦❢ t❤❡ ❞✐✛❡r❡♥t ❝♦♠♣♦♥❡♥ts ♦❢ t❤❡ ❣❧♦❜❛❧✱ ❞✐r❡❝t ❛♥❞ ❞✐✛✉s❡ s♦❧❛r ✐rr❛❞✐❛t✐♦♥✳ ❆ ♣❤♦t♦✈♦❧t❛✐❝ ❝❡❧❧✱ ❝♦♥s✐sts ♦❢ t✇♦ ❞♦♣❡❞ s✐❧✐✲ ▼♦st ❡①✐st✐♥❣ ♠♦❞❡❧s r❡q✉✐r❡ t❤❡ ❦♥♦✇❧❡❞❣❡ ♦❢ ❛ ❝♦♥ ❧❛②❡rs✱ ♦♥❡ ♦❢ ✇❤✐❝❤ ❤❛s ❛♥ ❡①❝❡ss ♦❢ ❡❧❡❝✲ ❧❛r❣❡ ♥✉♠❜❡r ♦❢ s✐t❡ ❞❛t❛✳ ■♥ ❆❧❣❡r✐❛✱ ❣❡♥❡r❛❧❧② tr♦♥s ✭❧❛②❡r ◆✮ ❛♥❞ t❤❡ ♦t❤❡r ❤❛s ❛♥ ❡❧❡❝tr♦♥ ❞❡✜❝✐❡♥❝② ✭❧❛②❡r P✮✳ ❚❤❡r❡ ✐s ♣r♦❞✉❝t✐♦♥ ♦❢ ❡❧❡❝✲ tr✐❝❛❧ ❡♥❡r❣② ❛❢t❡r ❛❜s♦r♣t✐♦♥ ♦❢ ✐♥❝✐❞❡♥t ♣❤♦✲ t♦♥s ❛♥❞ ❝r❡❛t✐♦♥ ♦❢ ❡❧❡❝tr♦♥✲❤♦❧❡ ♣❛✐rs ✐❢ t❤❡ ❡♥❡r❣② ♦❢ t❤❡ ♣❤♦t♦♥ ✐s ❣r❡❛t❡r t❤❛♥ t❤❡ ❣❛♣ ♦❢ t❤❡ ♠❛t❡r✐❛❧✳ ✷✳ ▼❆❚❍❊▼❆❚■❈❆▲ ❆ ♣❛♥❡❧ ✐s ❛ s❡r✐❡s ❛ss❡♠❜❧② ♦❢ t❤❡s❡ ❝❡❧❧s✳ ❚❤❡ ♣♦✇❡r ❣❡♥❡r❛t❡❞ ❞❡♣❡♥❞s ♦♥ t❤❡ ❧♦❛❞ ❛t t❤❡ ♣❛♥❡❧ ♦✉t♣✉t✳ ❚❤❡ s②st❡♠ st✉❞✐❡❞ ✐♥ t❤✐s ♣❛♣❡r ✐s ❛ ♣❤♦t♦✲ ✈♦❧t❛✐❝ ❣❡♥❡r❛t♦r✱ ❋✐❣✳✶✳ ▲♦❝❛t❡❞ ❛t t❤❡ ❧❡✈❡❧ ♦❢ t❤❡ ❝✐t② ♦❢ ❈♦♥st❛♥t✐♥❡ ✇✐t❤ t❤❡ ❢♦❧❧♦✇✐♥❣ ❣❡✲ ♦❣r❛♣❤✐❝❛❧ ❝♦♦r❞✐♥❛t❡s ✭6o ❧♦♥❣✐t✉❞❡✱ 36o ❧❛t✲ ✐t✉❞❡ ❛♥❞ ✻✾✸ ♠ ♦❢ ❛❧t✐t✉❞❡✮ ❛♥❞ ❛♥ ✐♥❝❧✐♥❛✲ t✐♦♥ ❡q✉❛❧ t❤❡ ❧❛t✐t✉❞❡ ♦❢ t❤❡ ♣❧❛❝❡✱ ❝♦♠♣♦s❡❞ ♦❢ ✜❢t❡❡♥ ✭✶✺✮ ♠♦♥♦❝r②st❛❧❧✐♥❡ ♠♦❞✉❧❡s t②♣❡ ❋✐❣✳ ✷✿ ❍♦r✐③♦♥t❛❧ ❝♦♦r❞✐♥❛t❡s ♦❢ t❤❡ s✉♥✳ t❤❡s❡ ❞❛t❛ ❛r❡ ♥♦t ❛❧❧ ❛✈❛✐❧❛❜❧❡✳ ■♥ ♦✉r st✉❞②✱ ✇❡ ❛❞♦♣t❡❞ t❤❡ ❑❛st❡♥ ♠♦❞❡❧ ❬✶❪✱ ✇❤✐❝❤ ✐s ✈❛❧✐❞ ❢♦r ❤❡✐❣❤ts ♦❢ ♠♦r❡ t❤❛♥ 10o ✱ ❛♥❞ ❝♦♥s✐❞❡rs t❤❡ ❛t♠♦s♣❤❡r✐❝ ❞✐st✉r❜❛♥❝❡ ❬✶❪✳ ❙✐♠✐❧❛r❧②✱ t❤❡r❡ ❛r❡ ❝ ✷✵✶✼ ❏♦✉r♥❛❧ ♦❢ ❆❞✈❛♥❝❡❞ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❛t✐♦♥ ✭❏❆❊❈✮ ✾✺ ❱❖▲❯▼❊✿ ✷ | ■❙❙❯❊✿ ✷ | ✷✵✶✽ | ❏✉♥❡ ❚❛❜❧❡ ✶✳ ❈❤❛r❛❝t❡r✐st✐❝s ♦❢ t❤❡ ♣❤♦t♦✈♦❧t❛✐❝ ♠♦❞✉❧❡✳ ❈❤❛r❛❝t❡r✐st✐❝s ❯♥✐t ❈◆P❱✲✺✵▼ ◆♦♠✐♥❛❧ ♣♦✇❡r P max ❲❝ ✺✵ ▼❛①✐♠✉♠ ✈♦❧t❛❣❡ V mp ❱ ✶✾✳✵ ▼❛①✐♠✉♠ ❝✉rr❡♥t Imp ❆ ✷✳✻✸ ❖♣❡♥ ❝✐r❝✉✐t ✈♦❧t❛❣❡ V oc ❱ ✷✷✳✼ ❙❤♦rt ❝✐r❝✉✐t ❝✉rr❡♥t Icc ❆ ✷✳✽✸ ❈❡❧❧ ❡✣❝✐❡♥❝② ηc ✪ ✶✽✳✼ ▼♦❞✉❧❡ ❡✣❝✐❡♥❝② ηm ✪ ✶✹✳✺ ♦❈ ❖♣❡r❛t✐♥❣ t❡♠♣❡r❛t✉r❡ 45 ± P♦✇❡r t❡♠♣❡r❛t✉r❡ ❝♦❡✣❝✐❡♥t ✪✴ ♦ ❈ ✲✵✳✹✺ ♣r❛❝t✐❝❛❧ ❛❧❣♦r✐t❤♠s t❤❛t ❛❧❧♦✇ ❛♥ ❡✈❛❧✉❛t✐♦♥ ♦❢ ❚❤❡ ❞✐✛✉s❡ ✐❧❧✉♠✐♥❛t✐♦♥ ✭Di ✮ ♦♥ ❛ ♣❧❛♥❡ ♦❢ ✐♥✲ t❤❡ ✐❧❧✉♠✐♥❛t✐♦♥ r❡❝❡✐✈❡❞ ❜② ❛♥② ♦r✐❡♥t❛t✐♦♥ s✉r✲ ❝❧✐♥❛t✐♦♥ ✭✐✮ ❢❛❝❡ ❢r♦♠ t❤❡ ❛str♦♥♦♠✐❝❛❧✱ ❣❡♦❣r❛♣❤✐❝❛❧ ❛♥❞ ❣❡✲ + cos (i) ♦♠❡tr✐❝❛❧ ❞❛t❛ ♦❢ t❤❡ ♣❧❛❝❡✱ ❋✐❣✳ ✷✳ D = ×D i ❉✐r❡❝t ✐❧❧✉♠✐♥❛t✐♦♥ ✭I ✮ ♦♥ ❛ ❤♦r✐③♦♥t❛❧ ♣❧❛♥❡✿ − cos (i) ❉✐r❡❝t s♦❧❛r r❛❞✐❛t✐♦♥ ❞❡✜♥❡❞ ❛s t❤❡ r❛❞✐❛t✐♦♥ +( ) × a1 × G0 ✭✽✮ ❢r♦♠ t❤❡ s♦❧❛r ❞✐s❦ ❛❧♦♥❡ ❛♥❞ ❝❛❧❝✉❧❛t❡❞ ❜② t❤❡ ❡①♣r❡ss✐♦♥✿ ❚❤❡ ❣❧♦❜❛❧ ✐❧❧✉♠✐♥❛t✐♦♥ ♦♥ ❛♥ ✐♥❝❧✐♥❡❞ ♣❧❛♥❡ ✭Gh ✮ ✐s ❣✐✈❡♥ ❜②✿ (mh × Tl ) I = I0 × exp − ✭✶✮ (0.9 × mh + 9.4) Gh = Si + Di ✭✾✮ ❉✐r❡❝t ✐❧❧✉♠✐♥❛t✐♦♥ ♦♥ ❛♥ ✐♥❝❧✐♥❡❞ ♣❧❛♥❡ ✭Si✮✿ ❲✐t❤✿ ❚❤❡ ❢♦❧❧♦✇✐♥❣ ❡①♣r❡ss✐♦♥✱ ❝❛❧❧❡❞ ●❛✉ss✬s Si = I× ❢♦r♠✉❧❛✱ ❣✐✈❡s t❤❡ ❛♥❣✉❧❛r ❤❡✐❣❤t ♦❢ t❤❡ s✉♥ ❬✷❪✿ cos (h) × sin (i) × cos (a − γ1 ) +sin (h) × cos (i) ✭✷✮ sin(h) = sin(δ) × sin(ϕ) + cos(δ) × cos(ϕ) × cos(w), ✭✶✵✮ ❚❤❡ ❣❧♦❜❛❧ ✐❧❧✉♠✐♥❛t✐♦♥ ♦♥ ❛ ❤♦r✐③♦♥t❛❧ ♣❧❛♥❡ ❬✻❪✿ ✇❤❡r❡ G0 = M × (sin (h))N , ✭✸✮ ✇❤❡r❡ M, N : ❝❤❛r❛❝t❡r✐③✐♥❣ t❤❡ st❛t❡ ♦❢ t❤❡ ❛t✲ ♠♦s♣❤❡r❡✳ ❉❡♣❡♥❞✐♥❣ ♦♥ t❤❡ st❛t❡ ♦❢ t❤❡ s❦②✱ t❤❡ ❣❧♦❜❛❧ ✐❧❧✉♠✐♥❛t✐♦♥ ✐s ❞❡t❡r♠✐♥❡❞ ♦♥ ❛ ❤♦r✐③♦♥t❛❧ ♣❧❛♥❡ ❜② ♦♥❡ ♦❢ t❤❡ ❋♦❧❧♦✇✐♥❣ ❢♦r♠✉❧❛s ❬✻❪✿ ❉❡❣r❛❞❡❞❙❦② : G0 = 990 × (sin(h))1.25 ❆✈❡r❛❣❡❙❦② : G0 = 1080 × (sin(h))1.22 P✉r❡❙❦② : G0 = 1150 × (sin(h))1.15 ✭✹✮ ✭✺✮ ✭✻✮ ❚❤❡ ❞✐✛✉s❡ ✐❧❧✉♠✐♥❛t✐♦♥ ✭D0 ✮ ♦♥ ❛ ❤♦r✐③♦♥t❛❧ ♣❧❛♥❡ ❬✻❪✿ D0 = 1 I0 × (sin (h)) × TL − 0.5 − (sin (h)) 25 ✭✼✮ ✾✻ ✲ i✿ ❚❤❡ ✐♥❝❧✐♥❛t✐♦♥ ♦❢ t❤❡ ♣❛♥❡❧ [◦]✳ ✲ a✿ ❚❤❡ ❛③✐♠✉t❤ [◦]✳ ✲ γ1 ✿ ❚❤❡ ♦r✐❡♥t❛t✐♦♥ [◦]✳ ✲ h✿ ❚❤❡ ❤❡✐❣❤t ♦❢ t❤❡ s✉♥ [◦]✳ ✲ TL ✿ ▲✐♥❦❡✬s ❞✐s♦r❞❡r ❢❛❝t♦r✳ ✲ I0 ✿ ❙♦❧❛r ❝♦♥st❛♥t (I0 = 1353 ❲✴♠✷ )✳ ✲ a1 ✿ t❤❡ ❛❧❜❡❞♦ ✭✷✵✪✮✳ ✲ G0 ✿ ●❧♦❜❛❧ r❛❞✐❛t✐♦♥ ♦♥ ❛ ❤♦r✐③♦♥t❛❧ ♣❧❛♥❡ ❬❲✴♠✷ )❪✳ ✲ Tmax ✿ ♠❛①✐♠✉♠ ❞❛✐❧② t❡♠♣❡r❛t✉r❡ ❬♦ ❈❪✳ ✲ Tmin ✿ ♠✐♥✐♠✉♠ ❞❛✐❧② t❡♠♣❡r❛t✉r❡ ❬♦ ❈❪✳ ❝ ✷✵✶✼ ❏♦✉r♥❛❧ ♦❢ ❆❞✈❛♥❝❡❞ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❛t✐♦♥ ✭❏❆❊❈✮ ❱❖▲❯▼❊✿ ✷ | ■❙❙❯❊✿ ✷ | ✷✵✶✽ | ❏✉♥❡ ✲ Gh ✿ ❉❛✐❧② s♦❧❛r ✐rr❛❞✐❛t✐♦♥ ❝♦♠♣♦♥❡♥t ✇❤❡r❡ ❬❲✴♠✷ )❪✳ µT = (1 + βST C )(Tcell −Tref ) 24 tm = × arccos[−tg (∅) × tg (ϕ)] 180 ✲ n✿ ❉❛② ♥✉♠❜❡r ✐♥ t❤❡ ②❡❛r✳ ✲ ∅✿ ❆♥❣❧❡ ♦❢ ✐♥❝✐❞❡♥❝❡ [◦]✳ ❚❤❡ ❞❡❝❧✐♥❛t✐♦♥ ✭δ ✮✿ ❚❤❡ ✈❛❧✉❡ ♦❢ t❤✐s ❛♥❣❧❡ ❝❛♥ ❜❡ ❝❛❧❝✉❧❛t❡❞ ❜② t❤❡ ❢♦r♠✉❧❛ ❬✸❪✿ 284 + n δ = 23.45 × sin(360 × ) ✭✶✶✮ 365 ❲❤❡r❡✱ ✭n✮ ✐s t❤❡ ♥✉♠❜❡r ♦❢ t❤❡ ❞❛② ✐♥ t❤❡ ②❡❛r✳ ▲✐✉ ❛♥❞ ❏♦r❞❛♥ ♣r♦♣♦s❡❞ t♦ t❛❦❡ t❤❡ 16t❤ ❞❛② ♦❢ ❡❛❝❤ ♠♦♥t❤✱ ❛s t❤❡ ♠♦st r❡♣r❡s❡♥t❛t✐✈❡ ♦❢ t❤❡ ❛✈❡r❛❣❡ ❞❛② ♦❢ t❤❡ ♠♦♥t❤ ❝♦♥s✐❞❡r❡❞✳ ❆s ❢♦r ❑❧❡✐♥ ❤❡ s❤♦✇❡❞ t❤❛t ✐t ✇❛s ❜❡tt❡r t♦ ❝❤♦♦s❡ t❤❛t ❞❛② ✉s✐♥❣ ❚❛❜❧❡ ✷✱ ❬✹❪✿ ▼♦❞❡❧✐♥❣ ♦❢ ❛♠❜✐❡♥t t❡♠♣❡r❛t✉r❡ ❬✶✽❪✿ Ta = 0, × ✲ T❝❡❧❧ ✿ ❏✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ❬♦ ❈❪✳ ✲ TST C ✿ t❡♠♣❡r❛t✉r❡ ✉♥❞❡r r❡❢❡r❡♥❝❡ ❝♦♥❞✐✲ t✐♦♥s (= 25♦ ❈) ✲ βST C ✿ ♣♦✇❡r t❡♠♣❡r❛t✉r❡ ❝♦❡✣❝✐❡♥t ♦❢ ♠♦❞✉❧❡ ✐♥ %/♦ ❈ ✲ µT ✿ ❚❡♠♣❡r❛t✉r❡ ❝♦rr❡❝t✐♦♥ ❝♦❡✣❝✐❡♥t ♦❢ t❤❡ ❝❡❧❧✳ ✲ tm ✿ ◆✉♠❜❡r ♦❢ ❤♦✉rs ♦❢ s✉♥s❤✐♥❡ [h]✳ ✷✳✻✳ (Tmax + Tmin ) + (Tmax − Tmin ) × (180×(t−8)) 12 ✭✶✷✮ ❊❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝② ♦❢ t❤❡ ♣❛♥❡❧ ❚❤❡ ❡✣❝✐❡♥❝② ♦❢ ❛ P❱ ♠♦❞✉❧❡ ❞❡♣❡♥❞s ♦♥ t❤❡ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ❣✐✈❡♥ ❜② t❤❡ ❢♦❧❧♦✇✐♥❣ ❢♦r✲ ♠✉❧❛ ❬✶✹❪✿ ηpv = ηST C [1 − βST C (Tcell − TST C )] ✷✳✹✳ ▼♦❞❡❧✐♥❣ ♦❢ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ✷✳✺✳ ❉❛✐❧② ❡♥❡r❣② ❣❡♥❡r❛t❡❞ ✭✶✻✮ ❆♥❞✿ ✲ ϕ✿ ❚❤❡ ❧❛t✐t✉❞❡ [◦]✳ ✷✳✸✳ ✭✶✺✮ ✭✶✼✮ ❈❛❧❝✉❧❛t✐♦♥s ❛r❡ ♠❛❞❡ ❢r♦♠ ❛♥ ✐♥✐t✐❛❧ t✐♠❡ (t0 = 6h 00) ❢♦r t❤❡ ❞❛② ♦❢ ❆✉❣✉st ❛♥❞ (t0 = 8h 00) ❢♦r t❤❡ ❞❛②s ♦❢ ❉❡❝❡♠❜❡r (n = 344) ❛♥❞ ❆♣r✐❧ (n = 105)❜❡❝❛✉s❡ ♦❢ t❤❡ ❑❡st❡♥ ♠♦❞❡❧ t❤❛t ✐s ✈❛❧✐❞ N♦❝t − 20 T❝❡❧❧ = Ta + Gh × ✭✶✸✮ ❢♦r ❙✉♥ ❤❡✐❣❤ts ❣r❡❛t❡r t❤❛♥ ✭10o ✮✱ ❛♥❞ ❛ t✐♠❡ 800 st❡♣ ❡q✉❛❧ t♦ ♦♥❡ ❤♦✉r✳ ❚❤❡ r❡s✉❧ts ♦❜t❛✐♥❡❞ ✇❤❡r❡ N♦❝t ✿ ◆♦♠✐♥❛❧ ❝❡❧❧ ✉s❛❣❡ t❡♠♣❡r❛t✉r❡ ❜② s✐♠✉❧❛t✐♦♥ ❛♥❞ t❤r♦✉❣❤ ❛ ❝♦♠♣✉t❡r ❝♦❞❡ ✐♥ ❬♦ ❈❪✱ T❝❡❧❧ ✿ ❚❤❡ t❡♠♣❡r❛t✉r❡ ♦❢ t❤❡ ❝❡❧❧ ❬♦ ❈❪✳ ❋❖❘❚❘❆◆ ❧❛♥❣✉❛❣❡✳ ❆❧❧ t❤❡ ❢♦❧❧♦✇✐♥❣ r❡s✉❧ts ❛r❡ ❛❜♦✉t t❤❡ r❡♣r❡s❡♥t❛t✐✈❡ ❞❛② ♦❢ ❆✉❣✉st (n = 228)✳ ■♥ ♦r❞❡r t♦ ❡✈❛❧✉❛t❡ t❤❡ ❡♥❡r❣② ♣r♦❞✉❝❡❞ ❜② ❡❛❝❤ ♠♦❞✉❧❡✱ ✐t s❤♦✉❧❞ ❜❡ r❡♠✐♥❞❡❞ t❤❛t t❤❡ ♠♦❞✉❧❡s ❛r❡ ❝❧❛ss✐✜❡❞ ✉♥❞❡r ♥♦♠✐♥❛❧ ♦♣❡r❛t✐♥❣ ❝♦♥❞✐t✐♦♥s✱ ❜✉t t❤❡ ✇♦r❦✐♥❣ ❝♦♥❞✐t✐♦♥s ❛❝t✉❛❧❧② r❡❝♦r❞❡❞ ✐♥ t❤❡ ✜❡❧❞ r❛r❡❧② ❝♦rr❡s♣♦♥❞ t♦ t❤❡✐r ♥♦♠✐♥❛❧ ✈❛❧✉❡s✳ ❚❤✉s✱ t❤❡ ❞❛✐❧② ❡♥❡r❣② ♣r♦✲ ❞✉❝❡❞ ❜② t❤❡ ♣❤♦t♦✈♦❧t❛✐❝ ❣❡♥❡r❛t♦r ❝❛♥ ❜❡ ❡s✲ t✐♠❛t❡❞ ❜② t❤❡ ❢♦❧❧♦✇✐♥❣ ❡q✉❛t✐♦♥ ❬✶✸❪✿ Gh E = Npv × Pmax ì ( ) ì àT ì tm EST C ✸✳ ❘❊❙❯▲❚❙ ❆◆❉ ❉■❙❈❯❙❙■❖◆ ✸✳✶✳ ❚❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ s♦❧❛r ✐rr❛❞✐❛t✐♦♥ ❚❤❡ ♦❜s❡r✈❛t✐♦♥ ♦❢ ❋✐❣✳ ✸ s❤♦✇s t❤❛t t❤❡ ❝✉r✈❡ ✭✶✹✮ r❡♣r❡s❡♥t✐♥❣ t❤❡ ❣❧♦❜❛❧ r❛❞✐❛t✐♦♥ t❡♠♣♦r❛❧ ❡✈♦✲ ❧✉t✐♦♥ ❝❛❧❝✉❧❛t❡❞ ❜② t❤❡ ❑❛st❡♥ ❢♦r♠✉❧❛ ✐s ❝❧♦s❡ ❝ ✷✵✶✼ ❏♦✉r♥❛❧ ♦❢ ❆❞✈❛♥❝❡❞ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❛t✐♦♥ ✭❏❆❊❈✮ ✾✼ ❱❖▲❯▼❊✿ ✷ | ■❙❙❯❊✿ ✷ | ✷✵✶✽ | ❏✉♥❡ ❚❛❜❧❡ ✷✳ ◆✉♠❜❡r ❡st✐♠❛t✐♦♥ ♦❢ t❤❡ ❞❛② ♦❢ t❤❡ ②❡❛r✳ ▼♦♥t❤ N o ♦❢ t❤❡ ❞❛② ✐♥ t❤❡ ♠♦♥t❤ N o ♦❢ t❤❡ ❞❛② ✐♥ t❤❡ ②❡❛r ❏❛♥✉❛r② ✶✼ ✶✼ ❋❡❜r✉❛r② ✶✻ ✹✼ ▼❛r❝❤ ✶✻ ✼✺ ❆♣r✐❧ ✶✺ ✶✵✺ ▼❛② ✶✺ ✶✸✺ ❏✉♥❡ ✶✶ ✶✻✷ ❏✉❧② ✶✼ ✶✾✽ ❆✉❣✉st ✶✻ ✷✷✽ ❙❡♣t❡♠❜❡r ✶✺ ✷✺✽ ❖❝t♦❜❡r ✶✺ ✷✽✽ ◆♦✈❡♠❜❡r ✶✹ ✸✶✽ ❉❡❝❡♠❜❡r ✶✵ ✸✹✹ ❚❛❜❧❡ ✸✳ ❇❡❧♦✇ ❣✐✈❡s t❤❡ ❝❤❛r❛❝t❡r✐st✐❝s ♦❢ ♦✉r ♠♦❞✉❧❡✳ ❚②♣❡ ▼♦♥♦❝r✐st❛❧❧✐♥❡ ♠♦❞❡❧ ❈◆P❱✲✺✵▼ ♠❛①✐♠✉♠ ♣♦✇❡r ✭♥♦♠✐♥❛❧✮ Pmax = 50 ❲❝ ♠❛①✐♠✉♠ ❝✉rr❡♥t Im ❂ ✷✳✻✸ ❆ ♠❛①✐♠✉♠ ✈♦❧t❛❣❡ V m ❂ ✶✾✳✵ ❱ s❤♦rt ❝✐r❝✉✐t ❝✉rr❡♥t Icc ❂ ✷✳✽✸ ❆ ♦♣❡♥ ❝✐r❝✉✐t ✈♦❧t❛❣❡ V co ❂ ✷✷✳✼ ❱ ❖♣❡r❛t✐♥❣ t❡♠♣❡r❛t✉r❡ ◆❖❈❚ ❂ ✹✺ ♦ ❈ ❘❡❢❡r❡♥❝❡ ❡✣❝✐❡♥❝② ηST C = 14, % t❡♠♣❡r❛t✉r❡ ❝♦❡✣❝✐❡♥t ❢♦r P♠❛① βST C = −0045/♦ ❈ t♦ t❤❡ ❝✉r✈❡ r❡s✉❧t✐♥❣ ❢r♦♠ t❤❡ ❡①♣❡r✐♠❡♥t ❬✶✺❪✳ ❆t s♦❧❛r ♥♦♦♥✱ t❤❡ ❣❧♦❜❛❧ ✐rr❛❞✐❛t✐♦♥ ❝♦♠♣♦♥❡♥t ✐s ♦❢ t❤❡ ♦r❞❡r ♦❢ 1077 ❲✴♠✷ ✳ ❚❤❡ ❣❧♦❜❛❧ ✐r✲ ❋✐❣✳ ✹✿ ❋✐❣✳ ✸✿ ❚❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ t❤❡ ❞❛✐❧② ❣❧♦❜❛❧ ✐rr❛❞✐❛✲ t✐♦♥ ❢♦r n = 228 ❛♥❞ ✇✐t❤ ❛ ♣✉r❡ s❦②✳ r❛❞✐❛t✐♦♥ ❝♦♠♣♦♥❡♥t r❡♣r❡s❡♥ts t❤❡ s✉♠ ♦❢ t❤❡ t✇♦ ❝♦♠♣♦♥❡♥ts ♦❢ r❛❞✐❛t✐♦♥✱ t❤❡ ❞✐r❡❝t ❛♥❞ t❤❡ ❞✐✛✉s❡✳ ❚❤❡ t✇♦ ✜❣✉r❡s ❜❡❧♦✇ ❝❧❡❛r❧② s❤♦✇ t❤❡ ✈❛❧✐❞❛t✐♦♥ ♦❢ ❑❛st❡♥✬s ♠♦❞❡❧✳ ❋✐❣✉r❡ ✹ s❤♦✇s t❤❡ t❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ t❤❡ t✇♦ ❝♦♠♣♦♥❡♥ts✱ ✾✽ ■♥❝✐❞❡♥t s♦❧❛r r❛❞✐❛t✐♦♥ ♦♥ ❛ ❤♦r✐③♦♥t❛❧ ♣❧❛♥❡ ✶✹✴✵✹✴✷✵✵✼✳ ❞✐r❡❝t ❛♥❞ ❞✐✛✉s❡ ♦♥ ❛ ❤♦r✐③♦♥t❛❧ ♣❧❛♥❡ r❡s✉❧t✲ ✐♥❣ ❢r♦♠ t❤❡ ❡①♣❡r✐❡♥❝❡ ❢♦r t❤❡ s✐t❡ ♦❢ ●❤❛r❞❛ï❛✱ ❧♦❝❛t❡❞ ✐♥ s♦✉t❤❡r♥ ❆❧❣❡r✐❛ ✇✐t❤ t❤❡ ❢♦❧❧♦✇✐♥❣ ❝♦♦r❞✐♥❛t❡s ❬❛❧t✐t✉❞❡ ✭Z = 468✮✱ ❧❛t✐t✉❞❡ ✭ϕ = 32.40✮❪✳ ❚❤❡ ♦❜s❡r✈❛t✐♦♥ ♦❢ ❋✐❣✳ ✺✱ ❛❧❧♦✇s t♦ ♥♦t✐❝❡ t❤❛t t❤❡ ❝✉r✈❡ r❡♣r❡s❡♥t✐♥❣ t❤❡ t❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ ❞✐r❡❝t ❛♥❞ ❞✐✛✉s❡ r❛❞✐❛t✐♦♥s✱ ❈❛❧✲ ❝✉❧❛t❡❞ ❜② ❑❛st❡♥✬s ❢♦r♠✉❧❛✱ ✐s ♦✈❡r❛❧❧ ❝❧♦s❡ t♦ ❝ ✷✵✶✼ ❏♦✉r♥❛❧ ♦❢ ❆❞✈❛♥❝❡❞ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❛t✐♦♥ ✭❏❆❊❈✮ ❱❖▲❯▼❊✿ ✷ ✸✳✸✳ | ■❙❙❯❊✿ ✷ | ✷✵✶✽ | ❏✉♥❡ ❚❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ t❤❡ ❞❛✐❧② ❡♥❡r❣② ♣r♦❞✉❝❡❞ ❜② t❤❡ ♣❤♦t♦✈♦❧t❛✐❝ ❣❡♥❡r❛t♦r ❚❤❡ ❛♥❛❧②s✐s ♦❢ t❤❡ ❝✉r✈❡ ♦❢ ❋✐❣✳ ✼✱ ❝❧❡❛r❧② ❞❡♠♦♥str❛t❡s t❤❛t t❤❡ ❝✉r✈❡ t❛❦❡s t❤❡ s❛♠❡ ❢♦r♠ ❛s t❤❛t ♦❢ ✐rr❛❞✐❛t✐♦♥✱ ✇❤✐❝❤ ✐♥❞✐❝❛t❡s t❤❛t t❤❡ ❞❛✐❧② ❡♥❡r❣② ♣r♦❞✉❝❡❞ ❜② t❤❡ ●P❱✱ ❜❡✐♥❣ ♦❢ t❤❡ ♦r❞❡r ♦❢ ✭✽ ❑❲❤✮ ❛t s♦❧❛r ♥♦♦♥✱ ✐s ♣r♦♣♦rt✐♦♥❛❧ t♦ ✐rr❛❞✐❛t✐♦♥✳ ❋✐❣✳ ✺✿ ❉✐r❡❝t ❛♥❞ ❞✐✛✉s❡ ❝♦♠♣♦♥❡♥t ❜② s✐♠✉❧❛t✐♦♥✳ t❤❡ ❝✉r✈❡ ❢r♦♠ ❡①♣❡r✐❡♥❝❡ ✭❋✐❣✳ ✺✮❀ ❡①❝❡♣t ❢♦r t❤❡ ❞✐r❡❝t r❛❞✐❛t✐♦♥ ✐♥ t❤❡ ♠♦r♥✐♥❣✱ ✇❤✐❝❤ ❝❛♥ ❜❡ ❞✉❡ t♦ ♠♦r❡ ♣r❡❝✐s❡ ❢❛❝t♦rs ❛♥❞ ❝♦❡✣❝✐❡♥ts ✭❛❧❜❡❞♦✱ ❝♦♥❞❡♥s❛❜❧❡ ✇❛t❡r ❤❡✐❣❤t✱ ❡t❝✳✮✱ ✇❤✐❝❤ ✇❡r❡ ✉s❡❞ ✐♥ t❤❡ ❝❛❧❝✉❧❛t✐♦♥s✳ ✸✳✷✳ ❚❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ ❛♠❜✐❡♥t ❛♥❞ ❝❡❧❧ t❡♠♣❡r❛t✉r❡s ❋✐❣✳ ✼✿ ❚❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ t❤❡ ❡♥❡r❣② ♣r♦❞✉❝❡❞ ❜② t❤❡ ❣❡♥❡r❛t♦r ❢♦r n = 228 ✉♥❞❡r ❛ ♣✉r❡ s❦②✳ ❆s s❤♦✇♥ ✐♥ ❋✐❣✳ ✻✱ t❤❡ ❛♠❜✐❡♥t t❡♠♣❡r❛t✉r❡ ✐s ❝♦♥st❛♥t❧② ❝❤❛♥❣✐♥❣ ✇✐t❤ t✐♠❡✳ ❋♦r t❤❡ ❝❡❧❧ t❡♠♣❡r❛t✉r❡✱ ✐t ✐s ❤✐❣❤❡r t❤❛♥ t❤❡ ❛♠❜✐❡♥t t❡♠✲ ♣❡r❛t✉r❡✳ ■t ❤❛s t❤❡ s❛♠❡ ♦✉t❧✐♥❡ ❛s r❡❢❡r❡♥❝❡ ✸✳✹✳ ❊✛❡❝t ♦❢ ❝❡❧❧ t❡♠♣❡r❛t✉r❡ ❬✼❪✱ ❜✉t ✇❡ ♥♦t✐❝❡ t❤❛t ✐t t❛❦❡s t❤❡ s❤❛♣❡ ♦❢ t❤❡ ♦♥ ❡✣❝✐❡♥❝② ❝♦♠♣♦♥❡♥t ♦❢ t❤❡ s♦❧❛r ✐rr❛❞✐❛t✐♦♥✱ s♦ t❤❡ ❧❛t✲ t❡r ✐♥❝r❡❛s❡s ❛s t❤❡ ✐rr❛❞✐❛t✐♦♥ ✐♥❝r❡❛s❡s✱ s❛♠❡ ❋✐❣✉r❡ ✽ s❤♦✇s t❤❡ ❡✈♦❧✉t✐♦♥ ♦❢ t❤❡ ❡❧❡❝tr✐❝❛❧ ❡✣✲ r❡s✉❧ts ♦❢ t❤❡ r❡❢❡r❡♥❝❡ ❬✽❪✳ ❝✐❡♥❝②✳ ❆❝❝♦r❞✐♥❣ t♦ t❤✐s ✜❣✉r❡✱ t❤❡ ❡❧❡❝tr✐❝❛❧ ❡❢✲ ✜❝✐❡♥❝② ✐s ✐♥✈❡rs❡❧② ♣r♦♣♦rt✐♦♥❛❧ t♦ t❤❡ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ♦❢ t❤❡ P❱ ♣❛♥❡❧✳ ❚❤❡r❡❢♦r❡✱ t❤❡ ❡❢✲ ❢❡❝t ♦❢ t❤❡ ❧❛tt❡r ✐s ♥♦t ❢❛✈♦r❛❜❧❡ ♦♥ t❤❡ ❡❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝②✳ ■t ✐s ♦❢ t❤❡ ♦r❞❡r ♦❢ ✭✶✹✪✮ ❛t t❤❡ ♠✐♥✐✲ ♠✉♠ ❝❡❧❧ t❡♠♣❡r❛t✉r❡ (25♦ ❈) t♦ ✭✻✳✵✵ ❛✳♠✳✮ ❛♥❞ ♦❢ ✭✶✶✪✮ ❢♦r t❤❡ ♠❛①✐♠✉♠ t❡♠♣❡r❛t✉r❡ ✭✻✹ ♦ ❈✮ t♦✇❛r❞s ✭✶✷✳✵✵ ❤✮✱ ❝❧♦s❡ t♦ t❤❡ ❡①♣❡r✐♠❡♥t❛❧ r❡✲ s✉❧t ✭✶✵ ✪✮ ♦❢ t❤❡ r❡❢❡r❡♥❝❡ ❬✼❪ ❛t s♦❧❛r ♥♦♦♥✳ ■t ❤❛s ❜❡❡♥ s❤♦✇♥ ♣r❡✈✐♦✉s❧② t❤❛t t❤❡ t❡♠♣❡r❛t✉r❡ ♦❢ t❤❡ ♣❤♦t♦✈♦❧t❛✐❝ ❝❡❧❧ ✇✐❧❧ r✐s❡ ✇✐t❤ ✐♥❝r❡❛s✐♥❣ r❛❞✐❛t✐♦♥✱ t❤❡r❡❢♦r❡ ❛❝❝♦r❞✐♥❣ t♦ t❤❡ ❧✐t❡r❛t✉r❡✱ t❤❡ ♠♦r❡ t❤❡ ✐❧❧✉♠✐♥❛t✐♦♥ ✐♥❝r❡❛s❡s✱ t❤❡ t❡♠♣❡r✲ ❛t✉r❡ ♦❢ t❤❡ ♣❤♦t♦✈♦❧t❛✐❝ ❝❡❧❧ ❞r♦♣s ❛♥❞ t❤❡ ♥♦✲ ❋✐❣✳ ✻✿ ❚❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ ❛♠❜✐❡♥t ❛♥❞ ❥✉♥❝t✐♦♥ ❧♦❛❞ ✈♦❧t❛❣❡ ✭V co✮ ❢❛❧❧s❀ t❤✐s ✐♥❞✉❝❡s t❤❡ ❞❡❣r❛✲ t❡♠♣❡r❛t✉r❡s ❢♦r n = 228 ✇✐t❤ ❛ ♣✉r❡ s❦②✳ ❞❛t✐♦♥ ♦❢ t❤❡ ♣❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ♣❤♦t♦✈♦❧t❛✐❝ ♠♦❞✉❧❡ ❬✽❪✳ ❝ ✷✵✶✼ ❏♦✉r♥❛❧ ♦❢ ❆❞✈❛♥❝❡❞ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❛t✐♦♥ ✭❏❆❊❈✮ ✾✾ ❱❖▲❯▼❊✿ ✷ ❋✐❣✳ ✽✿ ✸✳✺✳ ❊✈♦❧✉t✐♦♥ ♦❢ t❤❡ ❡❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝② ❛s ❛ ❢✉♥❝✲ t✐♦♥ ♦❢ t❤❡ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ❢♦r n = 228 ❛♥❞ ✉♥❞❡r ❛ ♣✉r❡ s❦②✳ ❊✛❡❝t ♦❢ t❤❡ s❡❛s♦♥ ♦♥ t❤❡ ❡❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝② ■♥ ♦r❞❡r t♦ s❤♦✇ t❤❡ ✐♥✢✉❡♥❝❡ ♦❢ t❤❡ s❡❛s♦♥✱ ♦♥ t❤❡ ❡❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝②✱ ❲❡ ❤❛✈❡ s❤♦✇♥ t❤❡ ❡✈♦✲ ❧✉t✐♦♥ ♦❢ t❤❡ ❡❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝② ❛s ❛ ❢✉♥❝t✐♦♥ ♦❢ t❤❡ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ❢♦r t✇♦ ♠♦♥t❤s ♦❢ ❞✐✛❡r❡♥t s❡❛s♦♥s✳ ❆♣r✐❧ ✭n❂ ✶✵✺✮ ❛♥❞ ❉❡❝❡♠❜❡r ✭n ❂ ✸✹✹✮✳ ❚❤❡ r❡s✉❧ts ✐❧❧✉str❛t❡❞ ✐♥ t❤❡ t✇♦ ✜❣✉r❡s✱ ❋✐❣✳ ✾✱ ❋✐❣✳ ✶✵✱ ❝❧❡❛r❧② s❤♦✇ t❤❛t t❤❡ ❡✣❝✐❡♥❝② t♦✇❛r❞s s♦❧❛r ♥♦♦♥ ✐s s❧✐❣❤t❧② ❤✐❣❤❡r ✐♥ ❉❡❝❡♠❜❡r ✭✶✸✪✱ Tj ❂ ✹✶♦ ❈ ✮ t❤❛♥ ✐♥ ❆♣r✐❧ ✭✶✷✪✱ Tj ❂ ✺✶ ♦ ❈ ✮✳ ❚❤✐s ❝♦♥✜r♠s t❤❡ ♣r❡✈✐✲ ♦✉s r❡s✉❧ts✱ t❤❛t t❤❡ ❡✣❝✐❡♥❝② ✐s ❣♦♦❞ ❢♦r ❧♦✇❡r ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡s✳ ❋✐❣✳ ✶✵✿ ✸✳✻✳ ✶✵✵ ❊✈♦❧✉t✐♦♥ ♦❢ ❡❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝② ❛s ❛ ❢✉♥❝t✐♦♥ ♦❢ t❤❡ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ❢♦r ♥ ❂ ✸✹✹ ✉♥❞❡r ❛ ❞❡❣r❛❞❡❞ s❦②✳ ❊✈♦❧✉t✐♦♥ ♦❢ ❡❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝② ❛s ❛ ❢✉♥❝t✐♦♥ ♦❢ t❤❡ ❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡ ❢♦r ♥ ❂ ✶✵✺ ✉♥❞❡r ❛♥ ❛✈❡r❛❣❡ s❦②✳ ❊✛❡❝t ♦❢ ❣❡♦❣r❛♣❤✐❝ ❝♦♦r❞✐♥❛t❡s ♦♥ ❡♥❡r❣② ♣r♦❞✉❝t✐♦♥ ❲❡ ❖❜s❡r✈❡❞ ✐♥ ❋✐❣✳ ✶✶✱ t❤❛t ❛❧❧ t❤❡ ❝✉r✈❡s r❡♣r❡s❡♥t✐♥❣ t❤❡ t❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ t❤❡ ❡♥✲ ❡r❣② ♣r♦❞✉❝❡❞ ❜② t❤❡ ❣❡♥❡r❛t♦r ❢♦r ❞✐✛❡r❡♥t ❛❧✲ t✐t✉❞❡s ✭Z ✮ ♦❢ t❤❡ ✐♠♣❧❛♥t❛t✐♦♥ s✐t❡ ♦❢ t❤❡ ♣❤♦✲ t♦✈♦❧t❛✐❝ ❣❡♥❡r❛t♦r ❛♥❞ ❢♦r t❤❡ s❛♠❡ ❞❛② ✐♥ t❤❡ ②❡❛r (n = 228) ❛r❡ s✉♣❡r✐♠♣♦s❡❞✱ ✐♥❞✐❝❛t✐♥❣ t❤❛t t❤❡ ❣❡♦❣r❛♣❤✐❝❛❧ ❝♦♦r❞✐♥❛t❡s ❤❛✈❡ ♥♦ ❡✛❡❝t ♦♥ t❤❡ ♣r♦❞✉❝t✐♦♥ ♦❢ ❞❛✐❧② ❡♥❡r❣②✳ ❋✐❣✳ ✶✶✿ ❋✐❣✳ ✾✿ | ■❙❙❯❊✿ ✷ | ✷✵✶✽ | ❏✉♥❡ ❚❡♠♣♦r❛❧ ❡✈♦❧✉t✐♦♥ ♦❢ t❤❡ ❡♥❡r❣② ♣r♦❞✉❝❡❞ ❜② t❤❡ ❣❡♥❡r❛t♦r ❢♦r ❞✐✛❡r❡♥t ❛❧t✐t✉❞❡s ❢♦r n = 228 ❛♥❞ ✉♥❞❡r ❛ ♣✉r❡ s❦②✳ ❝ ✷✵✶✼ ❏♦✉r♥❛❧ ♦❢ ❆❞✈❛♥❝❡❞ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❛t✐♦♥ ✭❏❆❊❈✮ ❱❖▲❯▼❊✿ ✷ ✹✳ ❈❖◆❈▲❯❙■❖◆ ❬✼❪ ❑❤❡❧✐❢❛✱ ❆✳✱ ✫ ❚♦✉❛❢❡❦✱ ❑✳ ✭✷✵✶✷✮✳ ❊t✉❞❡ ❞❡ ❧✬✐♥✢✉❡♥❝❡ ❞❡s ♣❛r❛♠ètr❡s ❡①t❡r♥❡s ❡t ✐♥t❡r♥❡s s✉r ❧❡ ❝❛♣t❡✉r ❤②❜r✐❞❡ ♣❤♦t♦✲ ✈♦❧t❛ïq✉❡ t❤❡r♠✐q✉❡ ✭P❱❚✮✳ ❘❡✈✉❡ ❞❡s ❊♥✲ ❡r❣✐❡s ❘❡♥♦✉✈❡❧❛❜❧❡s✱ ✶✺✭✶✮✱ ✻✼✲✼✺✳ ■t ✐s ✐♠♣♦rt❛♥t t♦ st✉❞② t❤❡ ✐♥✢✉❡♥❝❡ ♦❢ t❤❡ ✐♥t❡r✐♦r ❛♥❞ ❡①t❡r✐♦r ♣❛r❛♠❡t❡rs ♦❢ t❤❡ ♣❤♦t♦✲ ✈♦❧t❛✐❝ s②st❡♠ ♦♥ t❤❡s❡ ♣❡r❢♦r♠❛♥❝❡s✳ ❆❝❝♦r❞✲ ✐♥❣ t♦ t❤❡ ♦❜t❛✐♥❡❞ r❡s✉❧ts✱ t❤❡ ❡①t❡r♥❛❧ ♣❛r❛♠✲ ❬✽❪ ❡t❡r ✭❣❡♦❣r❛♣❤✐❝❛❧ ❝♦♦r❞✐♥❛t❡s✮ ❤❛s ♥♦ ❡✛❡❝t ♦♥ t❤❡ ❡❧❡❝tr✐❝❛❧ ♣r♦❞✉❝t✐♦♥ ❛♥❞ t❤❡ ✐♥t❡r♥❛❧ ♣❛r❛♠✲ ❡t❡r st✉❞✐❡❞ ✭❥✉♥❝t✐♦♥ t❡♠♣❡r❛t✉r❡✮ ❤❛s ❛♥ ❡✛❡❝t t❤❛t ✐s ♥♦t ❢❛✈♦r❛❜❧❡ ❢♦r ❤✐❣❤ t❡♠♣❡r❛t✉r❡s ♦♥ t❤❡ ❡❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝②✳ ❍♦✇❡✈❡r✱ t❤❡ ✐♥❝r❡❛s❡ ✐♥ ✐rr❛❞✐❛t✐♦♥ ❤❛s ❤❛❞ ❛ ❣♦♦❞ ❡✛❡❝t ♦♥ ❡❧❡❝tr✐✲ ❬✾❪ ❝❛❧ ♣r♦❞✉❝t✐♦♥✳ ❍❡♥❝❡✱ t❤❡ ✐♠♣♦rt❛♥❝❡ ♦❢ ❧♦✇✲ ❡r✐♥❣ t❤✐s t❡♠♣❡r❛t✉r❡ ❜② ❝♦♦❧✐♥❣ ❛♥❞ ❛❞♦♣t ❛ ❤②❜r✐❞ s②st❡♠ P❱❚✱ ❛♥❞ ✐♥t❡❣r❛t❡ t❤❡ ▼PP❚ t❡❝❤♥✐q✉❡ ✐♥t♦ t❤❡ s②st❡♠✱ ✐♥ ♦r❞❡r t♦ ✜♥❞ t❤❡ ♠♦st ❡❝♦♥♦♠✐❝❛❧ s②st❡♠ ❛♥❞ ❡✈❡♥ t♦ ✈❛❧✉❡ t❤❡ ❬✶✵❪ s♦❧❛r ❡❧❡❝tr✐❝❛❧ ♣r♦❞✉❝t✐♦♥✳ ❘❡❢❡r❡♥❝❡s | ■❙❙❯❊✿ ✷ | ✷✵✶✽ | ❏✉♥❡ ▼r❛❜t✐✱ ❚✳✱ ❊❧ ❖✉❛r✐❛❝❤✐✱ ▼✳✱ ❚✐❞❤❛❢✱ ❇✳✱ ✫ ❑❛ss♠✐✱ ❑✳ ✭✷✵✵✾✮✳ ❈❛r❛❝tér✐s❛t✐♦♥ ❡t ♠♦❞✲ é❧✐s❛t✐♦♥ ✜♥❡ ❞✉ ❢♦♥❝t✐♦♥♥❡♠❡♥t é❧❡❝tr✐q✉❡ ❞❡s ♣❛♥♥❡❛✉① ♣❤♦t♦✈♦❧t❛ïq✉❡s✳ ❘❡✈✉❡ ❞❡s ❊♥❡r❣✐❡s ❘❡♥♦✉✈❡❧❛❜❧❡s✱ ✶✷✭✸✮✱ ✹✽✾✲✺✵✵✳ ❙❛❞♦❦✱ ▼✳✱ ❇❡♥②♦✉❝❡❢✱ ❇✳✱ ✫ ▼❡❤❞❛♦✉✐✱ ❆✳ ✭✷✵✶✷✮✳ P❡r❢♦r♠❛♥❝❡s ❡t ❉é❣r❛❞❛t✐♦♥ ❞❡s ▼♦❞✉❧❡s P❱ ❡♥ ♠✐❧✐❡✉ s❛❤❛r✐❡♥✳ ❘❡✈✉❡ ❞❡s ❊♥❡r❣✐❡s ❘❡♥♦✉✈❡❧❛❜❧❡s✱ ❙■❊◆❘✱ ✶✷✱ ✷✵✸✲ ✷✶✷✳ ❍❛♠❞❛♥✐✱ ▼✳✱ ❇❡❦❦♦✉❝❡✱ ❙✳ ▼✳ ❆✳✱ ❇❡✲ ♥♦✉❛③✱ ❚✳✱ ✫ ❈❤❡r✐❡r✱ ▼✳ ❑✳ ✭✷✵✶✶✮✳ ❊t✉❞❡ ❡t ♠♦❞❡❧✐s❛t✐♦♥ ❞✉ ♣♦t❡♥t✐❡❧ s♦❧❛✐r❡ ❛❞❡✲ q✉❛t ♣♦✉r ❧✬❡st✐♠❛t✐♦♥ ❞❡s❡❝❧❛✐r❡♠❡♥ts ✐♥✲ ❝✐❞❡♥ts ❛ ●❤❛r❞❛✐❛✳ ❘❡✈✉❡ ✐♥t❡r♥❛t✐♦♥❛❧❡ ❞✬❤é❧✐♦t❡❝❤♥✐q✉❡✱ ✭✹✸✮✱ ✽✲✶✸✳ ❬✶❪ ❈♦♠♠✉♥❛②✱ P✳ ❍✳ ✭✷✵✵✷✮✳ ❍é❧✐♦t❤❡r♠✐q✉❡✿ ❧❡ ❣✐s❡♠❡♥t s♦❧❛✐r❡✱ ♠ét❤♦❞❡s ❡t ❝❛❧❝✉❧s✳ ❬✶✶❪ ▼❡❢t✐✱ ❆✳✱ ❇♦✉r♦✉❜✐✱ ▼✳ ❨✳✱ ✫ ❑❤❡❧❧❛❢✱ ❆✳ ❊✳ ✭✶✾✾✾✮✳ ❆♥❛❧②s❡ ❝r✐t✐q✉❡ ❞✉ ♠♦❞è❧❡ ❞❡ ●r♦✉♣❡ ❞❡ r❡❝❤❡r❝❤❡ ❡t ❞✬é❞✐t✐♦♥✳ ❧✬❛t❧❛s s♦❧❛✐r❡ ❞❡ ❧✬❆❧❣ér✐❡✳ ❘❡✈✳ ❊♥❡r❣✳ ❘❡♥✱ ✷✱ ✻✾✲✽✺✳ ❬✷❪ ❇❡r♥❛r❞✱ ❏✳ ✭✷✵✶✶✮✳ ❊♥❡r❣✐❡ s♦❧❛✐r❡✿ ❝❛❧❝✉❧s ❡t ♦♣t✐♠✐s❛t✐♦♥✳ ❊❧❧✐♣s❡s✳ ❬✶✷❪ ●❛✐r❛❛✱ ❑✳✱ ✫ ❇❡♥❦❛❝✐❛❧✐✱ ❙✳ ✭✷✵✵✽✮✳ ▼♦❞✲ é❧✐s❛t✐♦♥ ♥✉♠ér✐q✉❡ ❞❡s ✐rr❛❞✐❛t✐♦♥s ❣❧♦❜❛❧❡ ❬✸❪ ❇❡r♥❛r❞✱ ❘✳✱ ▼❡♥❣✉②✱ ●✳✱ ✫ ❙❝❤✇❛rt③✱ ❡t ❞✐✛✉s❡ ❛✉ s✐t❡ ❞❡ ●❤❛r❞❛ï❛✳ ❘❡✈✉❡ ❞❡s ▼✳ ✭✶✾✽✵✮✳ ✶✾✽✵✲▲❡ ❘❛②♦♥♥❡♠❡♥t ❙♦✲ ❊♥❡r❣✐❡s ❘❡♥♦✉✈❡❧❛❜❧❡s✱ ✶✶✭✶✮✱ ✶✷✾✲✶✸✻✳ ❧❛✐r❡✿ ❈♦♥✈❡rs✐♦♥ ❚❤❡r♠✐q✉❡ ❡t ❆♣♣❧✐❝❛✲ t✐♦♥✳ ❚❡❝❤♥✐q✉❡ ❡t ❉♦❝✉♠❡♥t❛t✐♦♥✱ P❛r✐s✱ ❬✶✸❪ ❋♦rt✉♥❛t♦✱ ❇✳✱ ❚♦rr❡s✐✱ ▼✳✱ ✫ ❉❡r❛♠♦✱ ❆✳ ✷✶✺♣✳ ✭✷✵✶✹✮✳ ▼♦❞❡❧✐♥❣✱ ♣❡r❢♦r♠❛♥❝❡ ❛♥❛❧②s✐s ❛♥❞ ❡❝♦♥♦♠✐❝ ❢❡❛s✐❜✐❧✐t② ♦❢ ❛ ♠✐rr♦r✲❛✉❣♠❡♥t❡❞ ❬✹❪ ❉❛❣✉❡♥❡t✱ ▼✳ ✭✶✾✽✺✮✳ ▲❡s sé❝❤♦✐rs s♦❧❛✐r❡s✳ ♣❤♦t♦✈♦❧t❛✐❝ s②st❡♠✳ ❊♥❡r❣② ❈♦♥✈❡rs✐♦♥ ❛♥❞ ▼❛♥❛❣❡♠❡♥t✱ ✽✵✱ ✷✼✻✲✷✽✻✳ ❬✺❪ ❚♦✉❛❢❡❦✱ ❑✳✱ ❍❛❞❞❛❞✐✱ ▼✳✱ ▼❛❧❡❦✱ ❆✳✱ ✫ ❇❡♥❞❛✐❦❤❛✲❚♦✉❛❢❡❦✱ ❲✳ ✭✷✵✵✽✮✳ ❙✐♠✉✲ ❬✶✹❪ ■❜r❛❤✐♠✱ ❆✳✱ ❋✉❞❤♦❧✐✱ ❆✳✱ ❙♦♣✐❛♥✱ ❑✳✱ ❖t❤✲ ❧❛t✐♦♥ ♥✉♠ér✐q✉❡ ❞✉ ❝♦♠♣♦rt❡♠❡♥t t❤❡r✲ ♠❛♥✱ ▼✳ ❨✳✱ ✫ ❘✉s❧❛♥✱ ▼✳ ❍✳ ✭✷✵✶✹✮✳ ♠✐q✉❡ ❞✉ ❝❛♣t❡✉r ❤②❜r✐❞❡ s♦❧❛✐r❡ ♣❤♦t♦✲ ❊✣❝✐❡♥❝✐❡s ❛♥❞ ✐♠♣r♦✈❡♠❡♥t ♣♦t❡♥t✐❛❧ ♦❢ ✈♦❧t❛ïq✉❡ t❤❡r♠✐q✉❡✳ ❘❡✈✉❡ ❞❡s é♥❡r❣✐❡s r❡✲ ❜✉✐❧❞✐♥❣ ✐♥t❡❣r❛t❡❞ ♣❤♦t♦✈♦❧t❛✐❝ t❤❡r♠❛❧ ♥♦✉✈❡❧❛❜❧❡s✱ ✶✶✭✶✮✱ ✶✺✸✲✶✻✺✳ ✭❇■P❱❚✮ s②st❡♠✳ ❊♥❡r❣② ❈♦♥✈❡rs✐♦♥ ❛♥❞ ▼❛♥❛❣❡♠❡♥t✱ ✼✼✱ ✺✷✼✲✺✸✹✳ ❬✻❪ ❇❡❧❤❛♦✉❛s✱ ◆✳✱ ❈❤❡✐❦❤✱ ▼✳ ❆✳✱ ▼❛❧❡❦✱ ❆✳✱ ✫ ▲❛r❜❡s✱ ❈✳ ✭✷✵✶✸✮✳ ▼❛t❧❛❜✲❙✐♠✉❧✐♥❦ ♦❢ ❬✶✺❪ ●❛♠❛✱ ❆✳✱ ❍❛❞❞❛❞✐✱ ▼✳✱ ✫ ▼❛❧❡❦✱ ❆✳ ♣❤♦t♦✈♦❧t❛✐❝ s②st❡♠ ❜❛s❡❞ ♦♥ ❛ t✇♦✲❞✐♦❞❡ ✭✷✵✵✽✮✳ ❊t✉❞❡ ❡t ré❛❧✐s❛t✐♦♥ ❞✬✉♥ ❝♦♥❝❡♥✲ ♠♦❞❡❧ s✐♠✉❧❛t♦r ✇✐t❤ s❤❛❞❡❞ s♦❧❛r ❝❡❧❧s✳ ❘❡✲ tr❛t❡✉r ❝②❧✐♥❞r♦ ♣❛r❛❜♦❧✐q✉❡ ❛✈❡❝ ♣♦✉rs✉✐t❡ ✈✉❡ ❞❡s ❊♥❡r❣✐❡s ❘❡♥♦✉✈❡❧❛❜❧❡s✱ ✶✻✭✶✮✱ ✻✺✲ s♦❧❛✐r❡ ❛✈❡✉❣❧❡✳ ❘❡✈✉❡ ❞❡s é♥❡r❣✐❡s r❡♥♦✉✲ ✼✸✳ ✈❡❧❛❜❧❡s✱ ✶✶✭✸✮✱ ✹✸✼✲✹✺✶✳ ❝ ✷✵✶✼ ❏♦✉r♥❛❧ ♦❢ ❆❞✈❛♥❝❡❞ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❛t✐♦♥ ✭❏❆❊❈✮ ✶✵✶ ❱❖▲❯▼❊✿ ✷ | ■❙❙❯❊✿ ✷ | ✷✵✶✽ | ❏✉♥❡ ❬✶✻❪ ❘❡❝❤❡r❝❤❡s ❡♥ ❝♦✉rs ❞✉ ♣r♦❢❡ss❡✉r ❑♦❞❥♦ ❬✶✽❪ ❩❛r❛✐✱ ◆✳✱ ❈❤❛❛❜❛♥❡✱ ▼✳✱ ❛♥❞ ●❛❜s✐✱ ❆❣❜♦ss♦✉✳ ✭❘❡♣♦rt✮ ❙✳ ✭✷✵✶✵✮✳ P❧❛♥✐✜❝❛t✐♦♥ ❞❡ ❧❛ Pr♦❞✉❝t✐♦♥ ❚❤❡r♠✐q✉❡ ❞❡s ❈❛♣t❡✉rs ❙♦❧❛✐r❡s✳ ■♥t❡r♥❛✲ ❬✶✼❪ ❍❛♠✐❞❛t✱ ❆✳✱ ❈❤♦✉❞❡r✱ ❆✳✱ ❇❡♥②♦✉❝❡❢✱ ❇✳✱ t✐♦♥❛❧ ❘❡♥❡✇❛❜❧❡ ❊♥❡r❣② ❈♦♥❣r❡ss✱ ❙♦✉ss❡✱ ❇❡❧❤❛♠❡❧✱ ▼✳✱ ❚❝❤✐❦♦✉✱ ❆✳✱ ✫ ●✉✐❧❛♥❡✱ ❚✉♥✐s✐❛✳ ❑✳ ✭✷✵✵✸✮✳ ❈♦♥❝❡♣t✐♦♥ ❡t ❘é❛❧✐s❛t✐♦♥ ❞✬✉♥ ❙②stè♠❡ ❞❡ ❈❤❛✉✛❡✲❡❛✉ ❙♦❧❛✐r❡ P❤♦t♦✲ ❬✶✾❪ ❇❛❣❤❞❛❞✐ ❢❛③✐❛✳ ▼♦❞é❧✐s❛t✐♦♥ ❡t ❙✐♠✉❧❛✲ ✈♦❧t❛ïq✉❡✳ ❘❡✈✉❡ ❞❡s é♥❡r❣✐❡s r❡♥♦✉✈❡✲ t✐♦♥ ❞❡s P❡r❢♦r♠❛♥❝❡s ❞✬✉♥❡ ■♥st❛❧❧❛t✐♦♥ ❧❛❜❧❡s✱ ✸✸✲✸✽✳ ❍②❜r✐❞❡ ❞❡ ❈♦♥✈❡rs✐♦♥ ❞✬❊♥❡r❣✐❡ ❘❡♥♦✉✲ ✈❡❧❛❜❧❡s✳ ❉é♣❛rt❡♠❡♥t ❞❡ ❣é♥✐❡ ♠é❝❛♥✐q✉❡✱ ❯♥✐✈❡rs✐té ▼♦✉❧♦✉❞ ▼❛♠♠❡r✐✱ ❚✐③✐✲❖✉③♦✉✳ ❚❤ès❡ ❞❡ ♠❛❣✐stèr❡ ✭✷✵✶✶✮✳ ✭❚❤❡s❡s ✭▼✳❙✳✮ ❛♥❞ ❉✐ss❡rt❛t✐♦♥s ✭P❤✳❉✳✮✮ "This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0)." ✶✵✷ ❝ ✷✵✶✼ ❏♦✉r♥❛❧ ♦❢ ❆❞✈❛♥❝❡❞ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❛t✐♦♥ ✭❏❆❊❈✮ ... "This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the. .. ✷✵✶✽ | ❏✉♥❡ ✲ Gh ✿ ❉❛✐❧② s♦❧❛r ✐rr❛❞✐❛t✐♦♥ ❝♦♠♣♦♥❡♥t ✇❤❡r❡ ❬❲✴♠✷ )❪✳ µT = (1 + βST C )(Tcell −Tref ) 24 tm = × arccos[−tg (∅) × tg (ϕ)] 180 ✲ n✿ ❉❛② ♥✉♠❜❡r ✐♥ t❤❡ ②❡❛r✳ ✲ ∅✿ ❆♥❣❧❡ ♦❢ ✐♥❝✐❞❡♥❝❡ [◦]✳... ❚❡♠♣❡r❛t✉r❡ ❝♦rr❡❝t✐♦♥ ❝♦❡✣❝✐❡♥t ♦❢ t❤❡ ❝❡❧❧✳ ✲ tm ✿ ◆✉♠❜❡r ♦❢ ❤♦✉rs ♦❢ s✉♥s❤✐♥❡ [h]✳ ✷✳✻✳ (Tmax + Tmin ) + (Tmax − Tmin ) × (180×(t−8)) 12 ✭✶✷✮ ❊❧❡❝tr✐❝❛❧ ❡✣❝✐❡♥❝② ♦❢ t❤❡ ♣❛♥❡❧ ❚❤❡ ❡✣❝✐❡♥❝② ♦❢ ❛ P❱