Energy Forms, Rejection and Waste
Energy may take many forms, but the most familiar are thermal and mechanical. Energy can be released in thermal form by burning a fuel to raise the temperature of something. An increase in temperature is another way of saying that the average speed of atoms increase in a random fashion. This thermal energy can be converted to mechanical or kinetic form, moving all of the atoms comprising something in a uniform manner by, for example, spinning it or sending it down a road. Thermal energy is less organized than mechanical energy, and is said to have a lower quality. Conversion of thermal energy to mechanical energy is typically 30-40% efficient. Mechanical energy can be converted to electrical energy with much higher efficiency, often about 90%, since these two forms are both highly organized.
When discussing energy use, it is important to be clear about which form of energy is being described. Powerplant engineers typically do this by adding a subscript or parenthetic (th), (m), or (e) to powerplant specifications. For example, a 1000 Megawatt(e) powerplant may also be described as a 3000 Megawatt(th) powerplant. The apparently lost 2000 Megawatts is said to be “rejected” power.
It is a theoretical impossibility to convert thermal energy to mechanical form without this type of loss, which increases as the temperature of a thermal energy source decreases. Part of the rejected power may be used to heat buildings, and this is known as cogeneration. Energy rejected in conversion between forms is very different from energy wasted because of forgetfulness or oversight. Energy is rejected at the powerplant because of natural laws, but energy may be wasted at the point of use because a light is left on when nobody is there to see by it. Similar end-use waste occurs in driving a two ton car when a 60 pound electric bicycle would do the same job faster, and with much less energy.
Energy and Power Measurement
Just as distance can be measured with various units, such as centimeters, feet or fathoms, energy may be measured in a number of ways. If a thing is heated or moved, a transfer of energy is involved. This energy may be inferred from measurements of the things mass and temperature or distance moved over a period of time time using instruments calibrated in whatever measurement system is convenient. Various academic disciplines or trades are accustomed to seeing energy measured in different units, resulting in some confusion. A physicist might use the Joule, or the electron-volt. A chemist may use the calorie. A nutritionist may use the Calorie, which is the same as 1000 chemist-style calories, or one kcal. A heating contractor may use the BTU. An electric utility may use the kiloWatt-hour. A motor manufacturer might use the horsepower-hour. A mechanical engineer might use the foot-pound. A nuclear engineer might use atomic mass units. An electrical engineer might use watt-seconds. An energy macro-economist might use the Quad, shorthand for a Quadrillion BTU. All of these units describe the same physical parameter, energy. Conversion between them is a simple matter using Google Calculator. A typical gallon of gasoline contains about 133 million Joules of thermal energy. So, a gallon of gasoline may be thought of as yet another measure of energy, and miles per gallon is readily converted to miles per Joule.
Another source of confusion results from the terms power and energy. Power is the rate of energy use, or energy flow rate, in a system. Given the preceding plethora of energy units, and the variety of ways time is described, power units may appear confusing indeed. The most standard international unit of power is the Watt, which is one Joule flowing per second. This is the unit we will use here, distinguishing electrical or mechanical from thermal forms.
Power may be measured over a long period of time, such as a year, in which case it is an average. Peak or instantaneous power is measured over a period which is comparable to the response time of the energy system. Peak power is often much higher than average power. A healthy adult, for example, is capable of producing 800 Watts of mechanical power for ten seconds, but a yearly average power of only about 33 Watts. Numbers in the energy flow diagrams appearing here describe yearly average power.
Note: Click once or twice on any of the following pages to enlarge them.
Energy may take many forms, but the most familiar are thermal and mechanical. Energy can be released in thermal form by burning a fuel to raise the temperature of something. An increase in temperature is another way of saying that the average speed of atoms increase in a random fashion. This thermal energy can be converted to mechanical or kinetic form, moving all of the atoms comprising something in a uniform manner by, for example, spinning it or sending it down a road. Thermal energy is less organized than mechanical energy, and is said to have a lower quality. Conversion of thermal energy to mechanical energy is typically 30-40% efficient. Mechanical energy can be converted to electrical energy with much higher efficiency, often about 90%, since these two forms are both highly organized.
When discussing energy use, it is important to be clear about which form of energy is being described. Powerplant engineers typically do this by adding a subscript or parenthetic (th), (m), or (e) to powerplant specifications. For example, a 1000 Megawatt(e) powerplant may also be described as a 3000 Megawatt(th) powerplant. The apparently lost 2000 Megawatts is said to be “rejected” power.
It is a theoretical impossibility to convert thermal energy to mechanical form without this type of loss, which increases as the temperature of a thermal energy source decreases. Part of the rejected power may be used to heat buildings, and this is known as cogeneration. Energy rejected in conversion between forms is very different from energy wasted because of forgetfulness or oversight. Energy is rejected at the powerplant because of natural laws, but energy may be wasted at the point of use because a light is left on when nobody is there to see by it. Similar end-use waste occurs in driving a two ton car when a 60 pound electric bicycle would do the same job faster, and with much less energy.
Energy and Power Measurement
Just as distance can be measured with various units, such as centimeters, feet or fathoms, energy may be measured in a number of ways. If a thing is heated or moved, a transfer of energy is involved. This energy may be inferred from measurements of the things mass and temperature or distance moved over a period of time time using instruments calibrated in whatever measurement system is convenient. Various academic disciplines or trades are accustomed to seeing energy measured in different units, resulting in some confusion. A physicist might use the Joule, or the electron-volt. A chemist may use the calorie. A nutritionist may use the Calorie, which is the same as 1000 chemist-style calories, or one kcal. A heating contractor may use the BTU. An electric utility may use the kiloWatt-hour. A motor manufacturer might use the horsepower-hour. A mechanical engineer might use the foot-pound. A nuclear engineer might use atomic mass units. An electrical engineer might use watt-seconds. An energy macro-economist might use the Quad, shorthand for a Quadrillion BTU. All of these units describe the same physical parameter, energy. Conversion between them is a simple matter using Google Calculator. A typical gallon of gasoline contains about 133 million Joules of thermal energy. So, a gallon of gasoline may be thought of as yet another measure of energy, and miles per gallon is readily converted to miles per Joule.
Another source of confusion results from the terms power and energy. Power is the rate of energy use, or energy flow rate, in a system. Given the preceding plethora of energy units, and the variety of ways time is described, power units may appear confusing indeed. The most standard international unit of power is the Watt, which is one Joule flowing per second. This is the unit we will use here, distinguishing electrical or mechanical from thermal forms.
Power may be measured over a long period of time, such as a year, in which case it is an average. Peak or instantaneous power is measured over a period which is comparable to the response time of the energy system. Peak power is often much higher than average power. A healthy adult, for example, is capable of producing 800 Watts of mechanical power for ten seconds, but a yearly average power of only about 33 Watts. Numbers in the energy flow diagrams appearing here describe yearly average power.
Note: Click once or twice on any of the following pages to enlarge them.













Joe
Invite as author
A comprehensive global warming bibliography and book collection?
King's College Library, University of Cambridge, have initiated a wonderful endeavor to address such issue.
You could see there progress and the books they've gathered so far here:
http://www.kings.cam
Best,
JKB
Adam Stone
Invite as author
Human power vs ebike regen
Great article, complex topic but very easy for the non physicist to understand.
I have read a lot about regen and pedal assist on ebikes but I was thinking it could be more efficient if we used human power to operate a separate battery charger instead of pedal assist. Do you have any numbers or research that can quantify this idea?
Something like how much energy can an average human generate to recharge a battery spinning the pedals at an optimum speed. Would that be more efficient that hybrid pedal power assist?
Kind of like the Chevy Volt process vs the Toyota Hybrid.
Regen on an ebike seems like a waste of effort because of the low mass involved.
Interested in your thoughts.
Thanks
Adam
Thanks for your comments.
Using pedals to generate electricity, storing the electrical energy, and using it later to propel the bicycle involves several extra energy conversion or transmission steps when compared to using the pedals conventionally. Chain drive is efficient, especially if the chain is lubricated and tensioned properly. I believe 95% is a reasonable efficiency to assume. A multi-speed bicycle already is set up to accommodate a wide range of ratios between pedal cadence and wheel rotation, so that pedals are spun at optimum speed when gears are shifted properly.
If we include the steps to store energy from the pedals, efficiency is roughly and optimistically: 0.95 (mechanical transmission) x 0.9 (electricity generation) x 0.9 (storage efficiency) x 0.9 (motor controller efficiency) x 0.9 (motor efficiency) = 0.62. So, an efficiency of 95% for direct and immediate use of muscle power compared to about 62% for storing this food-derived energy. Not a winning proposition, especially since this onboard charging capability will add to the mass and complexity of the vehicle. Consider also that our electrical grid will fully charge a 300 Watt-hour battery in one hour or less, while a healthy adult would have to pedal all day to accomplish this.
My suggestion for most efficient e-bike operation is to rest at the stop signs, and vigorously pedal up the hills to help keep a direct drive motor spinning at optimum speed. The rest is optional exercise.
- Jeff
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