Sida Loo Xisaabiyo Waxtarka Turbine-ka ee Nidaamka Warshadda Korontada ee Haydaro-korontada
Warshadaha Korontada ee Biyaha (PLTA) waxay isticmaalaan tamarta suurtagalka ah ee biyaha ee dherer kala duwan (madaxyo) si ay ugu beddelaan tamar farsamo oo ku jirta marawaxadda, ka dibna tamar koronto iyada oo loo marayo matoor. Mid ka mid ah tilmaamayaasha waxqabadka ugu muhiimsan ee warshadda korontada ee biyaha waa hufnaanta marawaxadda, maadaama halbeeggani uu tilmaamayo sida ugu wanaagsan ee marawaxaddu u beddesho tamarta haydarooliga ee biyaha una beddesho awood farsamo. Inta hufnaanta sare leh, awoodda badan ayaa laga soo saari karaa isla dheecaanka iyo madaxa—taas oo ugu dambeyntii saameyn toos ah ku leh kharashyada hawlgalka, hagaajinta culayska, iyo go'aannada dayactirka.
Maqaalkani wuxuu ka hadlayaa macnaha hufnaanta turbine-ka, qaacidooyinka la isticmaalay, xogta loo baahan yahay in la cabbiro, tallaabooyinka xisaabinta, iyo tusaalooyin fudud si aad si sax ah ugu xisaabin karto hufnaanta turbine-ka nidaamka korontada biyaha.
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1. Fahmidda Fikradda Waxtarka Turbine-ka
Guud ahaan, hufnaantu waa saamiga "wax soo saar waxtar leh" iyo "gelinta." Marawaxadaha korontada ku shaqeeya ee biyaha ku shaqeeya:
- Gelitaan: awoodda haydarooliga ee biyaha (tamarta biyaha ayaa diyaar ah sababtoo ah madaxa iyo dheecaanka).
- Wax soo saar: awood farsamo oo ku taal usha marawaxadaha (awoodda shafka).
Sidaas darteed, waxtarka marawaxadaha (η_t) waxaa lagu qeexaa sida:
\[
\eta_t = \frac{P_{mechanical}}{P_{hydraulic}} \times 100\%
\]
Qiimaha waxtarka marawaxadaha ayaa caadi ahaan u dhexeeya 80-95%, iyadoo ku xiran nooca marawaxadaha (Francis, Kaplan, Pelton), xaaladaha hawlgalka, iyo tayada naqshadeynta iyo dayactirka. Dhab ahaantii, hufnaanta marawaxadaha ma aha qiime go'an; waxay ku kala duwan tahay culayska, heerka socodka, iyo madaxa.
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2. Xisaabinta Awoodda Biyaha ee Haydarooliga (Input Turbine)
Awoodda haydarooliga waa tamarta halbeeg kasta oo biyuhu "sidaan" si ay u rogaan marawaxadaha. Qaacidada caadiga ah waa:
\[
P_{haydarooliga} = \rho \cdot g \cdot Q \cdot H
\]
Xog:
– \( \rho \) = cufnaanta biyaha (kg/m³), guud ahaan ~1000 kg/m³
– \( g \) = dardargelinta cufisjiidadka awgeed (m/s²), ~9,81 m/s²
– \( Q \) = daadinta biyaha (m³/s)
– \( H \) = madaxa saafiga ah (m)
Fiiro gaar ah: Isticmaal madaxa saafiga ah, ee ha isticmaalin madaxa guud. Madaxa saafiga ah waa madaxa haray ka dib marka laga jaro khasaaraha sida is jiidjiidka ku jira qaybta, khasaaraha waalka, leexashada tuubooyinka, meelaha qashinka lagu rido, iwm.
Haddii aad leedahay madax guud oo keliya, fikrad ahaan:
\[
H_{net} = H_{guud} – h_f
\]
halkaas oo \( h_f \) uu yahay wadarta khasaaraha tamarta (m).
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3. Go'aaminta Awoodda Farsamada ee Turbine-ka (Soo-saarka Turbine-ka)
Awoodda farsamada ee usha marawaxadaha waa la xisaabin karaa haddii aad haysato xogta wareegga iyo xawaaraha wareegga:
\[
P_{farsamoyaqaano} = T \cdot \omega
\]
ama
\[
P_{farsamo} = \frac{2\pi n T}{60}
\]
Xog:
– \( T \) = xoog (N·m)
– \( \omega \) = xawaare xagal (rad/s)
– \( n \) = wareeg (rpm)
Si kastaba ha ahaatee, warshado badan oo korontada ku shaqeeya oo ku shaqeeya biyaha, cabbiraadaha tooska ah ee wareegga mar walba lama heli karo. Taas beddelkeeda, waxaad qiyaasi kartaa awoodda farsamada ee ka imanaysa wax soo saarka korontada ee matoorka adigoo sixaya waxtarka matoorka iyo nidaamka gudbinta farsamada:
\[
P_{farsamo} \approx \frac{P_{koronto}}{\eta_{generator} \cdot \eta_{isku xidhka}}
\]
Haddii isku xidhku toos yahay oo khasaaraha farsamoyaqaanku yar yahay, mararka qaarkood waa ku filan tahay:
\[
P_{farsamo} \approx \frac{P_{koronto}}{\eta_{matoor}}
\]
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4. Qaaciddada Waxtarka Turbine-ka ee ugu Badan ee la Isticmaalo
Marka \(P_{hydraulic}\) iyo \(P_{mechanical}\) la ogaado, waxtarka marawaxadaha waa:
\[
\eta_t = \frac{P_{farsamo}}{\rho \cdot g \cdot Q \cdot H} \times 100\%
\]
Haddii aad isticmaasho korontada la qiimeeyay (soo-saarka matoorka), markaa waxa dhab ahaantii la xisaabiyaa waa waxtarka guud ee cutubka (turbine + matoorka), haddii aadan ka soocin xogta waxtarka matoorka:
- Wadarta waxtarka cutubka:
\[
\eta_{wadarta} = \frac{P_{electric}}{\rho g QH} \jeer 100\%
\]
– Waxtarka marawaxadda (haddii la yaqaan hufnaanta matoorka):
\[
\eta_t = \frac{\eta_{total}}{\eta_{generator}}
\]
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5. Xogta Goobta ee u Baahan in la Cabbiro
Si natiijooyinka xisaabintu u noqdaan kuwo sax ah, xogta soo socota waa in si fiican loo heli karaa:
1. Biyaha oo soo daata (Q)
Waxaa lagu cabbiri karaa mitirka socodka, mitirka socodka ultrasonic, ama habka cabbirka sii deynta ee kanaalka (iyadoo ku xiran naqshadda warshadda korontada biyaha).
2. Madaxa saafiga ah (H)
Waxaa laga helay farqiga cadaadiska/heerka iyadoo la tixgelinayo khasaaraha. Cabbiraadaha waxaa lagu sameyn karaa iyadoo la adeegsanayo qalabka gudbiya cadaadiska ee ku yaal meesha laga galo mashiinka iyo xogta kor u qaadista.
3. Awoodda wax soo saarka matoorka (P_electric)
Laga soo qaatay guddiga xakamaynta (kW ama MW) oo leh xogta saameynta korontada haddii loo baahdo.
4. Waxtarka matoorka (η_matoorka)
Badanaa waxaa laga helaa qalooca tijaabada warshadda waxayna ku xiran tahay culayska.
5. Xawaaraha wareegga (n) iyo xoogga (T) (haddii la heli karo)
Waxtar u leh xisaabinta awoodda usha si toos ah.
Tayada xogta waa muhiim. Khaladaad yar yar oo ku yimaada cabbiraadda madaxa ama socodka ayaa keeni kara leexasho weyn oo hufnaan ah.
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6. Tallaabooyinka lagu Xisaabinayo Waxtarka Turbine-ka
Waa kan socod fudud oo aad raaci karto:
1. Ururi xogta hawlgalka marka marawaxaddu ay xasilloon tahay (xaalad joogto ah): Q, H_netto, P_electric, cos φ (haddii loo baahdo).
2. Xisaabi awoodda haydarooliga:
\[
P_{haydarooliga} = \rho g QH
\]
3. Qiyaasta awoodda farsamada ee usha:
– Haddii uu jiro dareemaha wareegga: isticmaal \(P_{mechanical} = 2\pi nT/60\).
– Haddii kale: isticmaal \(P_{mechanical} \approx P_{electrical}/\eta_{generator}\).
4. Xisaabi waxtarka marawaxadaha:
\[
\eta_t = P_{farsamo}/P_{haydarooliga}
\]
5. Isbarbardhig qalooca waxqabadka turbine-ka (jaantuska buurta ama qalooca waxtarka) ee soo saaraha si aad u hubiso macquulnimada.
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7. Tusaalaha Xisaabinta Fudud
Ka soo qaad in cutubka korontada biyaha uu leeyahay xogta soo socota:
– Daadinta \(Q\) = 12 m³/s
– Madaxa saafiga ah \(H\) = 45 m
– Cufnaanta biyaha \( \rho \) = 1000 kg/m³
– Cufisjiidadka \( g \) = 9,81 m/s²
– Korontada la qiimeeyay \(P_{korontada}\) = 4,6 MW
– Waxtarka matoorka \( \eta_{generator} \) = 0,97
1) Awoodda Haydarooliga
\[
P_{hydraulic} = 1000 \jeer 9,81 \jeer 12 \jeer 45
\]
\[
P_{hydraulic} = 5.297.400 \text{ W} \qiyaastii 5,30 \text{ MW}
\]
2) Awoodda farsamada ee usha (la qiyaasay)
\[
P_{farsamo} \approx \frac{4,6}{0,97} = 4,742 \qoraal{MW}
\]
3) Waxtarka marawaxadda
\[
\eta_t = \frac{4,742}{5,30} \jeer 100% \qiyaastii 89,5\%
\]
Natiijada 89,5% waa mid macquul ah oo loogu talagalay marawaxadaha falcelinta badan ee ka shaqeeya meel u dhow heerka ugu sarreeya, inkastoo ansaxnimada kama dambaysta ah ay weli u baahan tahay in lagu xaqiijiyo qaloocyada waxqabadka iyo saxnaanta qalabka.
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8. Arrimaha Saameeya Waxtarka Turbine-ka
Waxtarka marawaxadaha ayaa hoos u dhici kara sababahan soo socda awgood:
- Hawlgal ka fog barta naqshadeynta (daadinta aad ayay u hooseysaa/sareeysaa, rarista aan fiicnayn).
– Cavitation, gaar ahaan marka madaxyo gaar ah ama cadaadisyo ka soo baxa meelaha ay aad u hooseeyaan.
– Burbur ama nabaad-guur ku yimaada daabka oo ay sabab u tahay dhoobo/ciid (burbur).
- Khasaaraha haydarooliga ayaa kordha sababtoo ah meelaha wasakhaysan, meelaha qashinka lagu rido oo xiran, ama waalka aan fiicnayn.
– Khaladaadka ku jira cabbiraadda madaxa iyo socodka oo ka dhigaya hufnaanta inay hoos u dhacdo marka aysan hoos u dhicin.
Sidaa darteed, qiimeynta waxtarka waa in si joogto ah loo sameeyaa, waxaana la socda kormeerka xaaladda farsamada iyo xaqiijinta qalabka.
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9. Gunaanad
Xisaabinta hufnaanta marawaxadaha ee nidaamka korontada biyaha waxay asal ahaan ku lug leedahay isbarbardhigga awoodda haydarooliga ee biyaha iyo awoodda farsamada ee ay qabato marawaxadaha. Furaha xisaabinta guusha leh waxay ku jirtaa isticmaalka madaxa saafiga ah, cabbiraadaha dheecaanka ee la isku halleyn karo, iyo kala soocida hufnaanta marawaxadaha iyo hufnaanta matoorka. Iyadoo la adeegsanayo xisaabinta saxda ah, hawl wadeennadu waxay go'aamin karaan meelaha ugu habboon ee hawlgalka, waxay ogaan karaan calaamadaha hore ee hoos u dhaca waxqabadka, waxayna horumarin karaan xeelado dayactir oo ku habboon.
Haddii aad rabto, waxaan kaa caawin karaa inaad abuurto qaab-dhismeedka xisaabinta (Excel) oo ku salaysan xogta Q, H, P_electricity, iyo η_generator, ama waxaan u habeyn karaa nooc gaar ah oo turbine ah (Francis/Kaplan/Pelton) iyo sidoo kale sida loo akhriyo qalooca waxtarka ee soo saaraha.
