- #1
mtanti
- 172
- 0
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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SUMMARY
The relationship between RPM and power in a generator is defined by the equation: output power = input power - losses = (2*pi/60)*RPM*T - losses. This equation illustrates that the RPM of a generator directly influences its output power, particularly in alternating current (A.C.) systems where maintaining a frequency of 60Hz is critical. Additionally, factors such as voltage, current, and impedance are essential for a comprehensive analysis of generator performance. Understanding these dynamics is crucial for optimizing generator efficiency and performance.
PREREQUISITES- Basic understanding of generator operation
- Familiarity with alternating current (A.C.) systems
- Knowledge of electrical impedance
- Concept of torque in rotational systems
- Study the impact of impedance on generator efficiency
- Learn about the relationship between torque and RPM in generators
- Explore the effects of load variations on generator frequency
- Investigate advanced generator control systems for maintaining optimal performance
Electrical engineers, power system analysts, and anyone involved in generator design or optimization will benefit from this discussion.
- #2
toxique
- 19
- 0
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
Gold Member
- 4,441
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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.