Generator from a power plant delivering electric power

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SUMMARY

The discussion focuses on calculating the RMS current delivered by a generator in a power plant that outputs 130 mW at 22 kV AC, which is then stepped up to 500 kV for transmission. Using Ohm's Law, participants determined the RMS current for both voltage levels. The analysis also includes calculating power losses due to Joule heating in the transmission line, demonstrating that using a transformer significantly reduces these losses. The ideal transformer assumption ensures no power is wasted during the voltage step-up process.

PREREQUISITES
  • Understanding of Ohm's Law and its application in AC circuits
  • Knowledge of RMS (Root Mean Square) calculations for current and voltage
  • Familiarity with transformer principles and their role in electrical transmission
  • Basic concepts of Joule heating and power loss in resistive loads
NEXT STEPS
  • Calculate RMS current for various power outputs and voltage levels in AC systems
  • Explore the impact of transformer efficiency on power transmission
  • Investigate methods to minimize Joule heating in electrical transmission lines
  • Learn about the design and operation of high-voltage transformers
USEFUL FOR

Electrical engineers, power system designers, and students studying electrical engineering concepts related to power generation and transmission efficiency.

lisanoir
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Homework Statement


a generator of a large power plant delivers an electric power of 130mW at 22 kv AC. for transmission, this power is stepped up to 500kv by a transformer. what is the rms curret delivered by the generator? what is the rms current in the trnasmission line? by what factor the losses in the transmission line (on joule heating) are reduced by using a transformer? assume that the transformer is ideal and does not waste any power, and that transmission line is a purely resistive loads (no capacitance or inductance).


Homework Equations


Imax= ΔVrms/√(r^2+(xl-xc)^2)

The Attempt at a Solution

 
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lisanoir said:

Homework Statement


a generator of a large power plant delivers an electric power of 130mW at 22 kv AC. for transmission, this power is stepped up to 500kv by a transformer. what is the rms curret delivered by the generator? what is the rms current in the trnasmission line? by what factor the losses in the transmission line (on joule heating) are reduced by using a transformer? assume that the transformer is ideal and does not waste any power, and that transmission line is a purely resistive loads (no capacitance or inductance).
You just have to apply Ohm's law to determine the current. What is the current in the 22KVAC line. What is the current in the 500 KVAC line?

What is the power loss in passing current I through a resistance R?

From that you should be able to determine the relative line losses for the two currents (hint: put R at 1 ohm, say. Work out the power loss for each of the two lines and divide them).

AM
 

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