Wind Power B/C

Locked
User avatar
dragonfruit35
Exalted Member
Exalted Member
Posts: 296
Joined: February 28th, 2015, 7:49 am
Division: Grad
State: VA
Pronouns: She/Her/Hers
Has thanked: 7 times
Been thanked: 1 time

Re: Wind Power B/C

Post by dragonfruit35 »

soyuppy wrote:
daydreamer0023 wrote:
soyuppy wrote: Like, "how many cans of coke does it take to power up an iPhone?" :lol:
Was that actually a question? :P
Yes, from N. Cal state
That's just awful. I've seen some vague question, but I think that one takes the... coke.

sorry couldn't resist
tjhsst '20
virginia tech '24
2x codebusters national medalist

"it's not a pen, it's a principle!" - annie edison
soyuppy
Member
Member
Posts: 84
Joined: September 18th, 2015, 12:08 am
Has thanked: 0
Been thanked: 0

Re: Wind Power B/C

Post by soyuppy »

Can someone help elaborate or explain this Power loss and voltage problem show in the attach picture? This taken from one of the invitational test.
I understand that P(loss) = I*I*R or P(loss) = V*V/R, but it still does not explain the reasoning behind the answer? Base on the latter equation P(loss)=V*V/R, If R remain constant, as V increase, P(loss) would increase, wouldn't it?
Or do we just accept that this is a rule specified somewhere in electrical physic book? Whenever voltage is stepped up by X factor, P(loss) decrease by the X*X factor?
Attachments
ploss_voltage.png
SPP SciO
Member
Member
Posts: 277
Joined: March 24th, 2015, 8:21 am
Division: B
State: NY
Pronouns: He/Him/His
Has thanked: 6 times
Been thanked: 3 times
Contact:

Re: Wind Power B/C

Post by SPP SciO »

soyuppy wrote:Can someone help elaborate or explain this Power loss and voltage problem show in the attach picture? This taken from one of the invitational test.
I understand that P(loss) = I*I*R or P(loss) = V*V/R, but it still does not explain the reasoning behind the answer? Base on the latter equation P(loss)=V*V/R, If R remain constant, as V increase, P(loss) would increase, wouldn't it?
Or do we just accept that this is a rule specified somewhere in electrical physic book? Whenever voltage is stepped up by X factor, P(loss) decrease by the X*X factor?
P(loss) = P²R/V² <-- That's the key formula, explained here: http://www.bsharp.org/physics/transmission

Worth making the connection to some real-life stuff - http://www.dartmouth.edu/~news/releases/2009/01/07.html
Coach
MS 821 Sunset Park Prep
http://www.sppscio.com
User avatar
Unome
Moderator
Moderator
Posts: 4321
Joined: January 26th, 2014, 12:48 pm
Division: Grad
State: GA
Has thanked: 228 times
Been thanked: 82 times

Re: Wind Power B/C

Post by Unome »

soyuppy wrote:Can someone help elaborate or explain this Power loss and voltage problem show in the attach picture? This taken from one of the invitational test.
I understand that P(loss) = I*I*R or P(loss) = V*V/R, but it still does not explain the reasoning behind the answer? Base on the latter equation P(loss)=V*V/R, If R remain constant, as V increase, P(loss) would increase, wouldn't it?
Or do we just accept that this is a rule specified somewhere in electrical physic book? Whenever voltage is stepped up by X factor, P(loss) decrease by the X*X factor?
seems to make more sense to me, since this is why power lines are high voltage; to reduce resistive heating (and of course more resistance means more resistive heating).

EDIT: Ninja'd, and it looks like I was (mostly) right!
Userpage

Opinions expressed on this site are not official; the only place for official rules changes and FAQs is soinc.org.
PHXcoach
Member
Member
Posts: 37
Joined: May 20th, 2013, 10:23 am
Division: B
State: AZ
Has thanked: 0
Been thanked: 0

Re: Wind Power B/C

Post by PHXcoach »

soyuppy wrote:Can someone help elaborate or explain this Power loss and voltage problem show in the attach picture? This taken from one of the invitational test.
I understand that P(loss) = I*I*R or P(loss) = V*V/R, but it still does not explain the reasoning behind the answer? Base on the latter equation P(loss)=V*V/R, If R remain constant, as V increase, P(loss) would increase, wouldn't it?
Or do we just accept that this is a rule specified somewhere in electrical physic book? Whenever voltage is stepped up by X factor, P(loss) decrease by the X*X factor?
The confusion is over the meaning of V (voltage).

In the question they are increasing the voltage that the power line is carrying (i.e. increasing the line voltage from 11 kV to 33 kV). If the line is still distributing the same power to the customers then the current will decrease by a factor of 3 (since P = V*I), so P = I*I*R will show that the power lost in the power line will decrease by a factor of 9 assuming the resistance stays the same.

The problem with using P=R/(V*V) is that in this equation V is referring to the voltage drop between the two ends of the power line, not the voltage that it is carrying. To see what the voltage drop along the power line is, use V = I*R. This immediately shows that if the current in the power line decreases by a factor of 3 then the voltage dropped along the power line will also drop by a factor of 3, and now you can use P = R/(V*V) and get the same answer as above.

In these type of questions it is usually easier to use P = I*I*R rather than trying to calculate the voltage drop.
soyuppy
Member
Member
Posts: 84
Joined: September 18th, 2015, 12:08 am
Has thanked: 0
Been thanked: 0

Re: Wind Power B/C

Post by soyuppy »

soyuppy wrote:Can someone help elaborate or explain this Power loss and voltage problem show in the attach picture? This taken from one of the invitational test.
I understand that P(loss) = I*I*R or P(loss) = V*V/R, but it still does not explain the reasoning behind the answer? Base on the latter equation P(loss)=V*V/R, If R remain constant, as V increase, P(loss) would increase, wouldn't it?
Or do we just accept that this is a rule specified somewhere in electrical physic book? Whenever voltage is stepped up by X factor, P(loss) decrease by the X*X factor?
Guess the only way to see this in action is to prove it by example. So here's what one way to see why this is so.
Given a 100kW Power Plant, transmitting on .4 Ohm resistance wire. 2 voltages to be consider for transmission
  • a) 1 kV, I = P/V==> I=100000/1000 = 100A, P(loss) = I*I*R ==> P(loss) = 100*100*.4 = 4000 W
    b) 10 kV, I=100000/10000 = 10A, P(loss) = 10*10*.4 = 40 W

This shows that V increase by 10 times, P(loss) decrease by 100(10*10) times.
freed2003
Member
Member
Posts: 202
Joined: November 3rd, 2015, 3:00 pm
Division: C
State: CA
Has thanked: 9 times
Been thanked: 6 times

Re: Wind Power B/C

Post by freed2003 »

Can someone tell me when the first electric wind turbine was invented, and by who? I'm getting mixed results.
BEARSO/MIT/High Desert/Regionals/State?
Cybersecurity 3/ /2/1
Codebusters 6/2/1/1
Circuit lab 77/20/3/1
Machines / /2/1
ashmmohan
Member
Member
Posts: 47
Joined: March 18th, 2016, 6:36 am
Division: C
State: FL
Has thanked: 0
Been thanked: 0

Re: Wind Power B/C

Post by ashmmohan »

Accidentally duplicated
Last edited by ashmmohan on October 19th, 2016, 2:23 pm, edited 1 time in total.
Boca Raton Community High School
Cornell/MIT/Berkeley/Regionals/States/Nationals (- indicates no medal)
Wind Power: 1/6/3/1/1/
Towers: 5/-/-/-/5/
EV: -/3
Hovercraft: 1/-/-
ashmmohan
Member
Member
Posts: 47
Joined: March 18th, 2016, 6:36 am
Division: C
State: FL
Has thanked: 0
Been thanked: 0

Re: Wind Power B/C

Post by ashmmohan »

freed2003 wrote:Can someone tell me when the first electric wind turbine was invented, and by who? I'm getting mixed results.
What results are you getting? I am assuming they are between Charles Brush and James Blyth. James Blyth invented the first electricity producing wind turbine in July 1887. Charles Brush, on the other hand, invented a wind turbine in 1888 in Ohio, AFTER James Blyth. Brush's was larger and had an automatic braking system.
Boca Raton Community High School
Cornell/MIT/Berkeley/Regionals/States/Nationals (- indicates no medal)
Wind Power: 1/6/3/1/1/
Towers: 5/-/-/-/5/
EV: -/3
Hovercraft: 1/-/-
soyuppy
Member
Member
Posts: 84
Joined: September 18th, 2015, 12:08 am
Has thanked: 0
Been thanked: 0

Re: Wind Power B/C

Post by soyuppy »

Updated score sheet posted on soinc. Does anyone know what "Uncorrect Const. Violation" refer to? Which rule is this pertain to?
Attachments
uncorr const violation.png
Locked

Return to “2017 Lab Events”

Who is online

Users browsing this forum: No registered users and 0 guests