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Capacity of generator and turbine are related as
Generator kW = Turbine┬аkW/Turbine┬аefficiency
Generator kW = Turbine┬аkW/Generator┬аefficiency
Generator kW = Turbine┬аkW├ЧGenerator┬аefficiency
None of the above
Generator kW = Turbine┬аkW├ЧGenerator┬аefficiency
The generator is the final stage of energy conversion in a power plant, where mechanical power provided by the turbine is converted into electrical power. Since the generator has internal losses (copper, iron, friction, and windage losses), the electrical power output is always less than the mechanical power input delivered by the turbine.
The generator is the final stage of energy conversion in a power plant, where mechanical power provided by the turbine is converted into electrical power. Since the generator has internal losses (copper, iron, friction, and windage losses), the electrical power output is always less than the mechanical power input delivered by the turbine.
PgenтАЛ=PturbтАЛ├Ч╬╖genтАЛ тАФ Calculation of generator electrical output based on mechanical input
╬╖genтАЛ=PmechanicalтАЛPelectricalтАЛтАЛ тАФ Definition of generator efficiency
The turbine-generator set operates on the energy conversion chain: Kinetic energy of fluid тЖТ Mechanical torque of turbine тЖТ Electrical output of generator. The efficiency of the generator, denoted as ╬╖gтАЛ, is defined as the ratio of electrical output (PoutтАЛ) to the mechanical shaft power input (PinтАЛ). Therefore, PoutтАЛ=PinтАЛ├Ч╬╖gтАЛ, which translates to Generator┬аkW=Turbine┬аkW├ЧGenerator┬аefficiency.
The turbine acts as the prime mover providing mechanical shaft power.
The generator acts as the transducer converting mechanical energy to electrical energy.
Generator efficiency accounts for rotational losses, excitation losses, and resistive losses.
In a real system, ╬╖genтАЛ<1, hence PgenтАЛ<PturbтАЛ.
Ensures accurate power budgeting for system stability.
Allows engineers to size the prime mover appropriately for a specific electrical load.
Hydroelectric Power Plants
Thermal Power Stations
Wind Turbine Systems
The efficiency of a modern industrial generator typically ranges from 95% to 99%.
Option A is incorrect because dividing by efficiency would result in a generator output greater than the input, which violates the law of conservation of energy.
Option B is incorrect because it is mathematically equivalent to dividing the input by efficiency, which is physically impossible for a passive generator.
C is correct тАФ The generator output power is the product of the mechanical power delivered by the turbine and the conversion efficiency of the generator.
Always verify if the conversion device is delivering power or consuming it; for a generator, efficiency is a multiplier (<1) on the input power.