Janaayo 11, 1914, Henry Ford wuxuu ku daabacay bayaankan soo socda wargeyska New York Times:
"Waxaan rajeynayaa in sanad gudaheed aan bilaabi doono soo saarista gaari koronto ku shaqeeya. Ma jecli inaan ka hadlo waxyaal sanad ka hor, laakiin waxaan rabaa inaan idiin sheego dhowr waxyaalood oo ku saabsan qorshayaashayda. Aniga iyo Mr. Edison waxaan ka shaqeyneynay dhowr sano abuurista baabuur koronto oo raqiis ah oo wax ku ool ah. Waxaa loo sameeyay tijaabo ahaan, waxaana ku qanacsanahay in wadada guusha ay caddahay. Dhibaatada baabuurta korontada ku shaqeeya ilaa hadda waxay ahayd abuurista baytari fudud oo ka shaqeyn kara masaafooyin dheer iyada oo aan dib loo buuxin. Mr. Edison wuxuu tijaabinayay baytari noocaas ah muddo hadda."
Laakiin wax baa qaldamay...

Thomas Edison oo wata gaari koronto oo Detroit Electric ah
Daabacaadani waa sii socosho macquul ah oo ku saabsan maqaalkeygii hore.

Halkee bay ku taal xudunta r waxay saamaysaa heerka kobaca saamiyada suuqa, maadaama ay tahay jaantus - inta uu le'eg yahay isku-dhafkan, ayaa si dhakhso ah u qabsan doona tiknoolajiyada cusub, tusaale ahaan, sannad kasta tikniyoolajiyaddu waa inay xiiso u yeelataa dad badan sababtoo ah sahlanaanteeda. K isku-darka oo sharraxaya awoodda kobaca ee tiknoolajiyadda cusub, tusaale ahaan, qiimaha hoose ee K, tiknoolajiyaddu ma awoodi doonto inay qabsato suuqa oo dhan, laakiin waxay awoodi doontaa oo keliya inay ka guuleysato qayb suuqeed oo ay ka xiiso badan tahay tikniyoolajiyadii hore.
Bayaanka dhibaatadu waa in la helo xuduudaha lagama maarmaanka u ah isle'egta saadka oo noo oggolaanaysa inaan saadaalino horumarinta warshadaha baabuurta rakaabka korontada ku shaqeeya:
- "Sanadka eber" waa sanadka kala bar baabuurta rakaabka ah ee adduunka laga iibiyo ay yeelan doonaan matoor koronto (P0=0,5, t=0);
- Heerka kobaca saamiyada suuqa (r) gawaarida korontada ku shaqeeya.
Xaaladdan, aan u qaadanno:
- Gawaarida korontada ku shaqeeya waxay gebi ahaanba suuqa ka saari doonaan baabuurta leh matoorada gubashada gudaha (ICE), maadaama aanan arkin astaamo u oggolaanaya kala qaybinta suuqa baabuurta rakaabka.
Suuqa baabuurta culus iyo qalabka gaarka ah lama tixgelin markii la diyaarinayay qaabka, maadaama uusan jirin suuq loogu talagalay baabuurta korontada ku shaqeeya ee warshadahan ku jira weli.
- Hadda waxaan ku nool nahay "waqti taban" (P(t)<0) shaqadana waxaan u isticmaali doonnaa habka loo yaqaan "sanadka eber" waqtigayaga (t-t0).
Xogta tirakoobka ee mugga iibka baabuurta rakaabka ayaa la qaaday .
Tirakoobka ku saabsan mugga iibka baabuurta korontada waxaa laga soo qaatay .
Tirakoobyada ku saabsan baabuurta korontada ku shaqeeya ka hor 2012 aad bay u yar yihiin mana lagu xisaabtami doono daraasadda.
Natiijo ahaan, waxaan haynaa xogta soo socota:

Barnaamij lagu ogaanayo Sannadka Eber iyo heerka kobaca suuqa
import matplotlib.pyplot as plt
import numpy as np
import math
x = np.linspace(2012, 2019, 8)
y1 = np.array([60936407, 63429200, 65708230, 66314155, 69464432, 70694834, 68690468, 64341693]) # ΠΊΠΎΠ»-Π²ΠΎ ΠΏΡΠΎΠΈΠ·Π²Π΅Π΄Π΅Π½Π½ΡΡ
Π»Π΅Π³ΠΊΠΎΠ²ΡΡ
ΠΌΠ°ΡΠΈΠ½
y2 = np.array([52605, 97507, 320713, 550297, 777495, 1227117, 2018247, 1940147]) # ΠΊΠΎΠ»-Π²ΠΎ ΠΏΡΠΎΠΈΠ·Π²Π΅Π΄Π΅Π½Π½ΡΡ
Π»Π΅Π³ΠΊΠΎΠ²ΡΡ
ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠΎΠ±ΠΈΠ»Π΅ΠΉ
y = y2/y1 #Π΄ΠΎΠ»Ρ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠΎΠ±ΠΈΠ»Π΅ΠΉ Π² ΠΎΠ±ΡΠ΅ΠΌ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΡΡΠ²Π΅ Π°Π²ΡΠΎΠΌΠΎΠ±ΠΈΠ»Π΅ΠΉ
ymax=1 #ΠΏΠ΅ΡΠ²ΠΎΠ½Π°ΡΠ°Π»ΡΠ½ΠΎΠ΅ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ΅ ΠΎΡΠΊΠ»ΠΎΠ½Π΅Π½ΠΈΠ΅ ΡΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π΄Π°Π½Π½ΡΡ
ΠΎΡ Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ ΡΡΠ½ΠΊΡΠΈΠΈ
Gmax=2025 #Π³ΠΎΠ΄ Π΄Π»Ρ Π½Π°ΡΠ°Π»ΠΎ ΠΏΠΎΠΈΡΠΊΠ° "Π½ΡΠ»Π΅Π²ΠΎΠ³ΠΎ Π³ΠΎΠ΄Π°"
rmax=0.35 #Π½Π°ΡΠ°Π»ΡΠ½ΡΠΉ ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½Ρ
k=1 #ΠΏΡΠΈΠ½ΡΡ "1" ΠΈΠ· ΠΏΡΠ΅Π΄ΠΏΠΎΡΡΠ»ΠΊΠΈ, ΡΡΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠΎΠ±ΠΈΠ»ΠΈ ΠΏΠΎΠ»Π½ΠΎΡΡΡΡ Π·Π°ΠΌΠ΅Π½ΡΡ Π»Π΅Π³ΠΊΠΎΠ²ΡΠ΅ Π°Π²ΡΠΎΠΌΠΎΠ±ΠΈΠ»ΠΈ Ρ ΠΠΠ‘
p0=0.5 # ΠΏΡΠΎΡΠ΅Π½Ρ ΡΡΠ½ΠΊΠ° Π² "Π½ΡΠ»Π΅Π²ΠΎΠΉ Π³ΠΎΠ΄"
for j in range(10): # ΡΠΈΠΊΠ» ΠΏΠ΅ΡΠ΅Π±ΠΎΡΠ° "Π½ΡΠ»Π΅Π²ΡΡ
Π³ΠΎΠ΄ΠΎΠ²"
x0=2025+j
r=0.35
for i in range(10): # ΡΠΈΠΊΠ» ΠΏΠ΅ΡΠ΅Π±ΠΎΡΠ° ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠ° Π² ΠΊΠ°ΠΆΠ΄ΠΎΠΌ "Π½ΡΠ»Π΅Π²ΠΎΠΌ Π³ΠΎΠ΄Ρ"
r=0.25+0.02*i
y4=k*p0*math.e**(r*(x-x0))/(k+p0*(math.e**(r*(x-x0))-1))-y
# print(str(x0).ljust(20), str(r).ljust(20), max(abs(y4)))
if max(abs(y4))<=ymax: # ΠΏΠΎΠΈΡΠΊ ΠΌΠΈΠ½ΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΈΠ· ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΡΡ
ΠΎΡΠΊΠ»ΠΎΠ½Π΅Π½ΠΈΠΉ Π²Π½ΡΡΡΠΈ ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ Π³ΠΎΠ΄Π° ΠΏΡΠΈ ΠΊΠ°ΠΆΠ΄ΠΎΠΌ ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠ΅ r
ymax=max(abs(y4))
Gmax=x0
rmax=r
print(str(Gmax).ljust(20), str(rmax).ljust(20), ymax) # Π²ΡΠ²ΠΎΠ΄ "Π½ΡΠ»Π΅Π²ΠΎΠ³ΠΎ Π³ΠΎΠ΄Π°", ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠ° r ΠΈ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΈΠ· ΠΎΡΠΊΠ»ΠΎΠ½Π΅Π½ΠΈΠΉ ΠΎΡ ΡΡΠ½ΠΊΡΠΈΠΈNatiijada shaqada barnaamijka awgeed, qiimayaasha soo socda ayaa la doortay:
Sannadka eber waa 2028.
Heerka kobaca: 0.37
Kala leexashada ugu badan ee xogta tirakoobka laga soo bilaabo qiimaha shaqada waa 0.005255.
Garaafka shaqada muddada u dhaxaysa 2012 iyo 2019 wuxuu u eg yahay sidan:

Shaxda ugu dambeysa ee saadaasha ilaa 2050 waxay u egtahay sidan:

Garaafku wuxuu muujinayaa hoos u dhac dhan 99% suuqa oo dhan, taasoo la micno ah in marka la gaaro 2040, gawaarida korontada ku shaqeeya ay gebi ahaanba gawaarida ku beddeli doonaan matoorada gubashada gudaha.
Barnaamijka garaafka shaqada
import matplotlib.pyplot as plt
import numpy as np
import math
x = np.linspace(2012, 2019, 8)
y1 = np.array([60936407, 63429200, 65708230, 66314155, 69464432, 70694834, 68690468, 64341693])
y2 = np.array([52605, 97507, 320713, 550297, 777495, 1227117, 2018247, 1940147])
y = y2/y1
k=1
p0=0.5
x0=2028
r=0.37
y1=k*p0*math.e**(r*(x-x0))/(k+p0*(math.e**(r*(x-x0))-1))
#Π‘ΡΡΠΎΠΈΠΌ Π³ΡΠ°ΡΠΈΠΊ ΡΡΠ½ΠΊΡΠΈΠΈ Π½Π° ΠΎΡΡΠ΅Π·ΠΊΠ΅ ΠΌΠ΅ΠΆΠ΄Ρ 2012 ΠΈ 2019 Π³ΠΎΠ΄Π°ΠΌΠΈ
fig, ax = plt.subplots(figsize=(30, 20), facecolor="#f5f5f5")
plt.grid()
ax.plot(x, y, 'o', color='tab:brown')
ax.plot(x, y1)
#Π‘ΡΡΠΎΠΈΠΌ Π³ΡΠ°ΡΠΈΠΊ ΡΡΠ½ΠΊΡΠΈΠΈ Π½Π° ΠΎΡΡΠ΅Π·ΠΊΠ΅ ΠΌΠ΅ΠΆΠ΄Ρ 2010 ΠΈ 2050 Π³ΠΎΠ΄Π°ΠΌΠΈ
x = np.linspace(2010, 2050)
y2 = [k*p0*math.e**(r*(i-x0))/(k+p0*(math.e**(r*(i-x0))-1)) for i in x]
y3 = 0.99+0*x
fig, ax = plt.subplots(figsize=(30, 20), facecolor="#f5f5f5")
ax.set_xlim([2010, 2050])
ax.set_ylim([0, 1])
plt.grid()
plt.plot(x, y2, x, y3)natiijooyinka
Anigoo raacaya isla macquulkii aan ku sharraxayay taariikhda horumarinta baabuurta leh matoorada gubashada gudaha, waxaan isku dayay inaan saadaaliyo horumarka warshadaha baabuurta rakaabka ee korontada ku shaqeeya iyadoo lagu saleynayo xogta tirakoobka ee la heli karo.
Natiijooyinka la helay waxay muujinayaan in marka la gaaro 2030, kala bar baabuurta rakaabka ah ee adduunka oo dhan laga iibiyo ay yeelan doonaan matoor koronto, marka la gaaro 2040-kana, baabuurta rakaabka ah ee leh matoorada gubashada gudaha ayaa noqon doona wax duug ah.
Dabcan, ka dib 2030, dadka qaar ayaa wali wadi doona baabuurta shidaalka ee ay iibsadeen ka hor 2030, laakiin waxay ogaan doonaan in iibsigooda xiga uu noqon doono baabuur koronto ku shaqeeya.
Heerka kobaca baabuurta korontada ku shaqeeya ayaa afar jeer ka sarreeya heerka kobaca ee baabuurta matoorada gubashada gudaha, taasoo muujinaysa in tiknoolajiyada cusubi ay si degdeg ah u soo galayso nolosheenna, iyagoo noqonaya qayb caadi ah oo ka mid ah nolol maalmeedkeenna (halkan ku xasuuso taleefannada gacanta).
Sannadaha soo socda, dhibaatada uu Edison xallin waayay waa in la xalliyaa: baytari awood ku filan leh oo kordhin kara masaafada u dhaxaysa saldhigyada dallacaadda.
Si loo abuuro shabakad saldhigyo dallacaad ah oo u dhiganta shabakadda saldhigyada shidaalka ee jira, waxaa lagama maarmaan ah in la casriyeeyo shabakadaha korontada ee jira ee magaalooyinka waaweyn iyo waddooyinka waaweyn.
Sidoo kale, kobaca iibka gawaarida korontada ku shaqeeya ayaa caqabad ku noqon doona , laakiin sidoo kale waxay ku tiirsanayd saliidda iyadoo baahida dhuxusha ay hoos u dhacday.
PS
Haddii Edison uu xallin lahaa dhibaatada hor taallay, "da'da saliidda" weligeed ma bilaaban lahayn...
Isticmaalayaasha diiwaangashan oo keliya ayaa ka qaybqaadan kara sahanka. , soo dhawoow.
Goorma ayuu qof kastaa kaxaysan doonaa baabuurta korontada?
9,5%Marka la gaaro 2030, qof walba wuxuu u wareegi doonaa baabuurta korontada ku shaqeeya, ma aha kala bar.
20,0%Marka la gaaro 2040, qof walba wuxuu hubaal ahaan u wareegi doonaa baabuurta korontada ku shaqeeya.
48,4%aan ka horayn 205092
22,1%Gaari koronto ku shaqeeya waligiis ma beddeli doono gaari shidaal ah.
190 isticmaale ayaa u codeeyay. 37 isticmaale ayaa ka aamusay.
Source: www.habr.com
