Energy and power, solar astronomy. (Lecture 4)

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Lecture # 4, Solar Astronomy Energy Units - Calorie Calorie (cal)

Lecture # 4, Solar Astronomy

Energy Units - Calorie

Calorie (cal) = heat

to increase by 1°C the 1 gram of water.
1 cal ≈ 4.184 Joules
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Lecture # 4, Solar Astronomy Very Small Energy Unit, eV Electronvolt

Lecture # 4, Solar Astronomy

Very Small Energy Unit, eV

Electronvolt (eV) -

the amount of kinetic energy gained by a single unbound electron when it passes through an electrostatic potential difference of one volt, in vacuum.

1 eV = 1.6×10−19 J

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Lecture # 4, Solar Astronomy Energy unit conversion factors

Lecture # 4, Solar Astronomy

Energy unit conversion factors

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Lecture # 4, Solar Astronomy Energy and Power If power is

Lecture # 4, Solar Astronomy

Energy and Power

If power is

constant
E = P · t, P = E/t
If power is variable and depends on time
E = ∫P(t)dt, P(t) = dE(t)/dt
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Lecture # 4, Solar Astronomy Power Units Watt (W) = using

Lecture # 4, Solar Astronomy

Power Units

Watt (W) = using one J

in one second.
kW = 1000 W
Horsepower = 735 W = 0.735 kW
MW = 1000 kW
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Lecture # 4, Solar Astronomy Power vs. Energy Thus, power is

Lecture # 4, Solar Astronomy

Power vs. Energy

Thus, power is the rate

of the energy use.
Energy is what you pay for repeatedly, as much as you use the energy, the kWh-s – variable, operational cost.
Power is the capacity to use the energy
You pay for the capacity usually upfront, fixed or installation cost.
E.g. if you decide to buy an air conditioner, you need to solve a power sizing problem. You pay the fixed amount. Later you usually use only a fraction of the total capacity.
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Lecture # 4, Solar Astronomy Solar Energy The SUN: Fusion in

Lecture # 4, Solar Astronomy

Solar Energy

The SUN:
Fusion in the sun –

the process
Temperature of the suncrust, black-body radiation – BBR
Photon energy, light speed, duality
Electromagnetic Spectrum
The solar radiation spectrum
Solar constant = 1366 W/m2.
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Lecture # 4, Solar Astronomy The light: particle, wave Particle and

Lecture # 4, Solar Astronomy

The light: particle, wave

Particle and wave
Light speed,

c = 299,792,458 m/s c ≈ 300,000 km/s
Photon energy, E = hν, ν = frequency,
h is Planck’s constant, h = 6.626 10-34 J s h = 4.135 10-15 eV s.
λ = c/ν
E = hc/λ
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Lecture # 4, Solar Astronomy Electromagnetic Spectrum

Lecture # 4, Solar Astronomy

Electromagnetic Spectrum

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Lecture # 4, Solar Astronomy Sun Spectrum

Lecture # 4, Solar Astronomy

Sun Spectrum

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Lecture # 4, Solar Astronomy The Sun Sun has a capacity

Lecture # 4, Solar Astronomy

The Sun

Sun has a capacity of 3.86×1026

W 3.86×108 EJ/s
Earth gets only two-billionth part of it.
127,400,000 km² - Earth cross-section
1.740 1017 W = 0.174 EJ/s
Armenian annual energy consumption: 0.1752 Quads
Solar Constant =1366 W/sq.m.
Average Insolation = ¼ of solar const. = 342 W/sq.m.
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Lecture # 4, Solar Astronomy How this energy is generated?

Lecture # 4, Solar Astronomy

How this energy is generated?

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Lecture # 4, Solar Astronomy How this energy is generated? About

Lecture # 4, Solar Astronomy

How this energy is generated?

About 74% of

the Sun's mass is hydrogen, 25% is helium, and the rest is made up of trace quantities of heavier elements.
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Lecture # 4, Solar Astronomy How this energy is generated? The

Lecture # 4, Solar Astronomy

How this energy is generated?

The Sun has

a surface temperature of approximately 5,500 K, giving it a white color, which, because of atmospheric scattering, appears yellow.
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Lecture # 4, Solar Astronomy How this energy is generated? The

Lecture # 4, Solar Astronomy

How this energy is generated?

The Sun diameter: 1.4

106 km = 109 that of the earth.
Distance from Earth: 1.5 108 km, = 8.31 min at light speed
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Lecture # 4, Solar Astronomy How this energy is generated? It

Lecture # 4, Solar Astronomy

How this energy is generated?

It was Albert

Einstein who provided the essential clue to the source of the Sun's energy output with his mass-energy relation: E=mc²
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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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The Sun Lecture # 4, Solar Astronomy

The Sun

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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NASA caption: Giant magnetic loops dance on the sun’s horizon in

NASA caption: Giant magnetic loops dance on the sun’s horizon in

concert with the eruption of a solar flare—seen as a bright flash of light—in this imagery from NASA’s Solar Dynamics Observatory, captured Jan. 12-13, 2015. Image Credit: NASA/SDO

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Sun surface videos https://www.youtube.com/watch?v=ipvfwPqh3V4 https://www.youtube.com/watch?v=0WW1HN0iG0M https://www.youtube.com/watch?v=lpzCSZ7Eerc https://www.youtube.com/watch?v=nmDZhQAIeXM Lecture # 4, Solar Astronomy

Sun surface videos

https://www.youtube.com/watch?v=ipvfwPqh3V4
https://www.youtube.com/watch?v=0WW1HN0iG0M
https://www.youtube.com/watch?v=lpzCSZ7Eerc
https://www.youtube.com/watch?v=nmDZhQAIeXM

Lecture # 4, Solar Astronomy

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Solar wind The total number of particles carried away from the

Solar wind

The total number of particles carried away from the Sun

by the solar wind is about 1.3×1036 per second.
Thus, the total mass loss is about 4–6 billion tons per hour.
Composed of: - electrons, - protons - alpha particles

Lecture # 4, Solar Astronomy

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Elementary particles flow from Sun – Solar Wind http://www.independent.co.uk/travel/europe/watch-this-beautiful-timelapse-of-the-northern-lights-over-norway-9735690.htmlhttp://www.independent.co.uk/travel/europe/watch-this-beautiful-timelapse-of-the-northern-lights-over-norway-9735690.html http://www.bbc.com/news/science-environment-28690559http://www.independent.co.uk/travel/europe/watch-this-beautiful-timelapse-of-the-northern-lights-over-norway-9735690.html http://www.bbc.com/news/science-environment-28690559

Elementary particles flow from Sun – Solar Wind http://www.independent.co.uk/travel/europe/watch-this-beautiful-timelapse-of-the-northern-lights-over-norway-9735690.htmlhttp://www.independent.co.uk/travel/europe/watch-this-beautiful-timelapse-of-the-northern-lights-over-norway-9735690.html http://www.bbc.com/news/science-environment-28690559http://www.independent.co.uk/travel/europe/watch-this-beautiful-timelapse-of-the-northern-lights-over-norway-9735690.html http://www.bbc.com/news/science-environment-28690559

https://www.youtube.com/watch?v=sBWPCvdv8Bk

Lecture # 4, Solar Astronomy

Aurora Borealis

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Solar Wind Lecture # 4, Solar Astronomy

Solar Wind

Lecture # 4, Solar Astronomy

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Aurora Borealis https://www.youtube.com/watch?v=hsMW7zbzsUs https://www.youtube.com/watch?v=Vdb9IndsSXk https://www.youtube.com/watch?v=pjgvGiEHlNs Lecture # 4, Solar Astronomy

Aurora Borealis

https://www.youtube.com/watch?v=hsMW7zbzsUs
https://www.youtube.com/watch?v=Vdb9IndsSXk
https://www.youtube.com/watch?v=pjgvGiEHlNs

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy How this energy is generated? In

Lecture # 4, Solar Astronomy

How this energy is generated?

In 1920 Sir

Arthur Eddington proposed that the pressures and temperatures at the core of the Sun could produce a nuclear fusion reaction that merged hydrogen into helium, resulting in a production of energy from the net change in mass.
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This actually corresponds to a surprisingly low rate of energy production

This actually corresponds to a surprisingly low rate of energy production

in the Sun's core—about 0.3 µW/cm³ (microwatts per cubic cm), or about 6 µW/kg of matter.
For comparison, the human body produces heat at approximately the rate 1.2 W/kg, roughly a million times greater per unit mass.

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy How this energy is generated? most

Lecture # 4, Solar Astronomy

How this energy is generated?

most of the

elements in the universe had been created by nuclear reactions inside stars like the Sun.
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Lecture # 4, Solar Astronomy 1.5 The future of energy resources

Lecture # 4, Solar Astronomy

1.5 The future of energy resources

Solar Constant

= 1366 W/sq.m.
Sahara’s surface area = 9,000,000 sq.km.
If we use 10% of Sahara with 12.5% efficiency, we will get 1000 Exajoules/year!
This is twice as much as current world consumption.
I can see the future «Ocean Solar Power Plants», that produce Hydrogen!
However, population grows exponentially!
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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Earth's rotation Earth's rotation tilts about 23.5 degrees on its pole-to-pole

Earth's rotation

Earth's rotation tilts about 23.5 degrees on its pole-to-pole

axis, relative to the plane of Earth's solar system orbit around our sun.
As the Earth orbits the sun, this creates the 47-degree peak solar altitude angle difference, and the hemisphere-specific difference between summer and winter.

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Solar Constant Lecture # 4, Solar Astronomy

Solar Constant

Lecture # 4, Solar Astronomy

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Now: go to the article http://www.wired.com/2015/07/pluto-new-horizons-2/ Lecture # 4, Solar Astronomy

Now: go to the article http://www.wired.com/2015/07/pluto-new-horizons-2/

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Solar radiation bouncing atmosphere the theoretical daily-average insolation at the top

Solar radiation bouncing atmosphere

the theoretical daily-average insolation at the top of

the atmosphere, where θ is the polar angle of the Earth's orbit, and θ = 0 at the vernal equinox, and θ = 90° at the summer solstice; φ is the latitude of the Earth. The calculation assumed conditions appropriate for 2000 A.D.: a solar constant of S0 = 1367 W m−2, obliquity of ε = 23.4398°, longitude of perihelion of ϖ = 282.895°, eccentricity e = 0.016704. Contour labels (green) are in units of W m−2

Lecture # 4, Solar Astronomy

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Lecture # 4, Solar Astronomy

Lecture # 4, Solar Astronomy

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Airmass In astronomy, airmass is the optical path length through Earth's

Airmass

In astronomy, airmass is the optical path length through Earth's atmosphere

for light from a celestial source.
As it passes through the atmosphere, light is attenuated by scattering and absorption; the more atmosphere through which it passes, the greater the attenuation.
Consequently, celestial bodies at the horizon appear less bright than when at the zenith.

Lecture # 4, Solar Astronomy

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Earth Atmosphere Lecture # 4, Solar Astronomy

Earth Atmosphere

Lecture # 4, Solar Astronomy

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Rayleigh scattering Lecture # 4, Solar Astronomy

Rayleigh scattering

Lecture # 4, Solar Astronomy

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Airmass Lecture # 4, Solar Astronomy “Airmass” normally indicates relative airmass,

Airmass

Lecture # 4, Solar Astronomy

“Airmass” normally indicates relative airmass, the path

length relative to that at the zenith at sea level, so by definition, the sea-level airmass when the sun is at the zenith is 1.
Airmass increases as the angle between the source and the zenith increases, reaching a value of approximately 38 at the horizon.
Airmass can be less than one at an elevation greater than sea level.
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Airmass Atmosphere height = 8.5 ÷ 11 km. Earth's mean radius

Airmass

Atmosphere height = 8.5 ÷ 11 km.
Earth's mean radius is 6371 km.
Airmass

abbreviation: AM##.
E.g. at angle of approximately 60 degrees over horizon we have AM2, = 62% of solar constant.
The solar panels are often rated at AM1.5
The maximum airmass at horizon is: AM35.5 ÷ AM39
At sea level, AM1 attenuates @ 27%.
At AM10 we have 23X attenuation
At AM20 we have >10000X attenuation

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Earth Atmosphere Lecture # 4, Solar Astronomy

Earth Atmosphere

Lecture # 4, Solar Astronomy

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Numbers to remember Solar constant = 1366W/m2 Attenuation at AM1 =

Numbers to remember

Solar constant = 1366W/m2
Attenuation at AM1 = 27%
Scattered

light capacity = 1366W/m2 x 27% = 369W/m2
Intensity at AM1 = 1366W/m2 - 369W/m2 = 997W/m2 ≈ 1000W/m2
Reference Intensity = 1000W/m2

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Air mass calculations Lecture # 4, Solar Astronomy

Air mass calculations

Lecture # 4, Solar Astronomy