- #1
mtanti
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Does anyone know of an equation which relates RPM with power in a generator? It has to be for a general generator! 
Generator Equation: RPM & Power Relationship
- Thread starter mtanti
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In summary, the conversation discusses the relationship between RPM and power in a generator, specifically in the context of alternating current. It is mentioned that voltage can be represented by a sine function and that 1 RPM is equivalent to 1 radian or 2*PI. The conversation also mentions the need for current and impedances for a deeper analysis and mentions the impact of load on the frequency of the output. Finally, a general equation for output power is provided.
- #2
toxique
- 19
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I am not sure (im still a newbe ), but let's work in senoidal regime:
Voltage v(t) = V . sin(wt+p)
w (omega) is in radians, so you could make w an equivalent to RPM:
1 RPM = 1 radian = 2*PI
Of curse, you will also need current and impedances for a deep analysis, but you can get the idea (P = (V^2)/Z)
I hope this is OK, sorry everyone if this is screwed up.
), but let's work in senoidal regime:Voltage v(t) = V . sin(wt+p)
w (omega) is in radians, so you could make w an equivalent to RPM:
1 RPM = 1 radian = 2*PI
Of curse, you will also need current and impedances for a deep analysis, but you can get the idea (P = (V^2)/Z)
I hope this is OK, sorry everyone if this is screwed up.
- #3
dlgoff
Science Advisor
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For alternating current (A.C.), the RPM of the generator determines the frequency of its output. In the U.S., power companies try to keep the frequency at 60Hz. When the load on the systems increases, the frequency tends to lower, so more power (steam flow through the turbin) is needed. The opposite happens when the load decreases.
Regards
Don
Regards
Don
- #4
phantom_photon
- 19
- 0
Well,
output power = input power - losses = wT - losses = (2*pi/60)*RPM*T -losses.
That's the most general equation I can think of without getting into reaction torque, inertia, etc.
output power = input power - losses = wT - losses = (2*pi/60)*RPM*T -losses.
That's the most general equation I can think of without getting into reaction torque, inertia, etc.
1. What is the generator equation and how does it relate to RPM and power?
The generator equation, also known as the Faraday's law of induction, describes the relationship between the rotational speed (RPM) and the electrical power output of a generator. It states that the induced voltage (EMF) is directly proportional to the rotational speed and the number of turns in the generator's coil, and is also affected by the strength of the magnetic field.
2. How does the number of turns in the generator's coil affect the RPM and power output?
The number of turns in the generator's coil directly affects the RPM and power output. A higher number of turns will result in a higher induced voltage and therefore a higher power output, as stated in the generator equation. This is because more turns in the coil will create a stronger magnetic field, which leads to a higher rate of change of magnetic flux and a greater induced voltage.
3. What is the significance of the strength of the magnetic field in the generator equation?
The strength of the magnetic field plays a crucial role in the generator equation as it determines the rate of change of magnetic flux. A stronger magnetic field will result in a higher rate of change of magnetic flux and therefore a higher induced voltage, leading to a higher power output. The strength of the magnetic field can be controlled by varying the current in the generator's electromagnets.
4. How is the generator equation used in real-life applications?
The generator equation is used to understand and predict the performance of generators in various real-life applications. It is commonly used in the design and optimization of generators for power generation, electric motors, and other electromagnetic devices. It is also used in industries such as renewable energy, where wind and hydro turbines use generators to convert mechanical energy into electrical energy.
5. Are there any limitations or factors that can affect the accuracy of the generator equation?
While the generator equation is a useful tool in understanding the relationship between RPM and power output, it does have some limitations. Factors such as resistance, inductance, and capacitance in the generator's circuit can affect its accuracy. Additionally, the generator equation assumes ideal conditions and does not take into account losses such as friction and heat. Therefore, it is important to consider these factors when using the generator equation in real-life applications.
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