Power Transmission Line and Transformer Parameters

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SUMMARY

This discussion clarifies key parameters of power transmission lines and transformers. Mutual coupling in a three-phase transmission line is distinct from shunt capacitance, which is defined by the phase-to-phase and phase-to-ground capacitances. The series resistance and inductance of a transmission line are based on the individual lines without considering inter-line linkage. For transformers, the no-load current is primarily the magnetizing current, which accounts for core losses, while additional losses under load are primarily I²R losses in the windings.

PREREQUISITES
  • Understanding of three-phase power systems
  • Familiarity with transmission line parameters such as resistance and inductance
  • Knowledge of transformer operation, including magnetizing current and core losses
  • Basic concepts of electrical capacitance and inductance
NEXT STEPS
  • Research "Transmission Line Equivalent Circuit" for detailed modeling techniques
  • Study "Transformer Magnetizing Current" to understand core loss mechanisms
  • Explore "Shunt Capacitance in Power Systems" for insights on phase interactions
  • Investigate "I²R Losses in Electrical Circuits" to analyze winding efficiency
USEFUL FOR

Electrical engineers, power system analysts, and students studying transmission line and transformer theory will benefit from this discussion.

Physicist3
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Hi,

I was wondering if it would be possible for someone to help me clarify a few things regarding transmission lines and transformers?

For a Power Transmission line, what exactly is the mutual coupling between phases of a 3 phase line? Is this the same as the shunt capacitance and if not, what exactly is the shunt capacitance? Is the series resistance and inductance of a transmission line simply the resistance and inductance of each of the 3 lines separately and not taking into account linkage between the lines?

For a transformer, am I correct in thinking that on no-load, the current drawn from the primary is used to supply the magnetising current required for production of a flux around the core, and also for supply of the losses within the core (eddy current and hysteresis). What exactly is the magnetic impedance and the leakage as these terms confuse me somewhat? Also, when a TXFR is on load, are the additional losses simply the I^2R
losses in the windings due to the winding resistances?

Thank you in advance
 
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Physicist3 said:
For a Power Transmission line, what exactly is the mutual coupling between phases of a 3 phase line? Is this the same as the shunt capacitance and if not, what exactly is the shunt capacitance? Is the series resistance and inductance of a transmission line simply the resistance and inductance of each of the 3 lines separately and not taking into account linkage between the lines?
There are 3 phase to phase capacities and 3 phase to ground capacities. For example, capacity between phase A and B is defined as Cab=ΔQab/ΔVab, capacity between phase A and ground is Ca0=ΔQa0/ΔVa0 etc. Similar definition is for mutual inductivities Labab/I, where I is current circulating in loop of the phases A-B and creating mutual flux Ψab. Also 6 of them. Mutual capacities and inductivities depend exclusively on the geometry of the system.
For a transformer, am I correct in thinking that on no-load, the current drawn from the primary is used to supply the magnetising current required for production of a flux around the core, and also for supply of the losses within the core (eddy current and hysteresis).
The current drawn is called a magnetizing current. It produces flux in the core, and only smart part around core. Yes, it supply losses within the core.
See wikipedia for more : http://en.wikipedia.org/wiki/Transformer
 
You could do a little Googling before posting here. I searched "transmission line equivalent circuit" and found numerous sources such as http://eee.guc.edu.eg/Courses/Electronics/ELCT908%20Distributed%20Power%20Systems/Lectures/Modeling%20of%20Transmission%20Lines.pdf

Same thing for transformers.

If you still do to understand after studying the courses, then you are welcome to post questions here.
 

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