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Three-phase power at balanced load

Lecture



Active power balanced three-phase receiver:

Three-phase power at balanced load

Reactive:

Three-phase power at balanced load

It is more convenient to express power through linear Il and Il.

With a symmetrical load, the phase powers are the same, therefore:

P = 3Pф = 3UфIфcosφф

Q = 3Qф = 3UфIфsinφф

S = 3Sf = 3UfIf
Three-phase power at balanced load

then

Three-phase power at balanced load

Conclusion: with a symmetrical load, the power formulas are the same regardless of the connection scheme of the receivers.

See also

created: 2014-09-27
updated: 2026-03-09
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Lectures and tutorial on "Electrical Engineering, Circuit design"

Terms: Electrical Engineering, Circuit design

Electrical Engineering
Transients in electrical circuits
Introduction
Electrical circuit topology
Electrical circuit and its elements
Receivers of electrical energy:
Laws describing the operation of an electrical circuit
Power sources of electrical circuits
Current source
DC source operation modes
Power balance
Series and parallel connection of resistances
Mixed resistance mix
Loop current method
Nodal potentials method
Two node method
Active two-pole method (generator)
Nonlinear dc circuits
Sinusoidal current circuits
Using complex numbers to calculate electrical circuits
Vector diagrams of sinusoidal functions
Complex resistance
AC power
Chains with R, C, L elements
Electrical circuit with capacitive C - element
Electrical circuit with inductive L - element
Analysis of sinusoidal current circuits
Consecutive connection of elements in a sinusoidal current circuit: RLC circuit
Chain rl
RC circuit
Voltage resonance
Cases of other modes of operation of the RLC circuit
Resonance currents. Definition formulas, vector diagram
Power balance in AC circuits
Steady-state modes in non-sinusoidal current circuits
Effective and average non-sinusoidal values
The coefficients characterizing the non-sinusoidal signals
Transients in electrical circuits
The first law of commutation
Second law of commutation
Transients in RL - chain
Transient use
RC transients
Application of the transition process in the RC circuit
Transients in AC circuits.
Steady-state modes in three-phase circuits. General characteristics of three-phase circuits.
The connection of the windings of the source and phases of the receiver with a star with a neutral wire
Construction of vector diagrams
Three wire circuit
Triangle receiver phase connection
Determination of phase and linear currents
Three-phase power
Three-phase power at balanced load
Three-phase power at unbalanced load
Measurements in three-phase alternating circuits
Emergency modes
Magnetic circuits and devices Variety of magnetic circuits
Basic laws of magnetic circuits
Technical characteristics of ferromagnets
Magnetoelectrics and ferrites
Electric inductor: principle of operation, purpose, application
Transformer - converter of electromagnetic induction of electric energy of current
Idle mode of the transformer (x.x.)
Load mode transformer
mode - Transformer short circuit
The main parameters of the transformer
Transformer external characteristic
Electromagnetic field theory
Maxwell equations in integral form
Maxwell equations in differential form
Law of conservation of electricity
Corollaries of Maxwell's equations
Electromagnetic waves
Chains with distributed parameters
Homogeneous line parameters
Solution of equations in hyperbolic functions
Air and cable lines
No distortion lines
Lossless line
Standing waves
Matched load line
Calculation of linear DC electric circuits
Equivalent Transformation Method
Task contour current method
Task nodal potentials method
An example of the calculation of chains with features.
Example method of two nodes
Equivalent Generator Method (Dipole)
An example of the calculation of circuits with nonlinear elements
Translation of complex numbers
An example of building high-quality vector diagrams
Example voltage resonance
Example Resonance currents
Mixing Charting
Calculation of chains with periodic non-sinusoidal input effects.
The receiver is connected to a four-wire network by a star.
Neutral wire break
Calculation of transients in electrical circuits by the classical method
Tasks for self-training
Abbreviations used in electronics.
WAYS OF COMPENSATION OF INITIAL DISPLACEMENT OF INPUT VOLTAGE in devices on chips
Compound Transistor - Darlington Transistor
Functional diagrams on the OS
Miller effect. gain effect
Emitter stabilization
Collector Stabilization
Attenuators (power dividers)