Electrical Machines · Synchronous Machines

Voltage Regulation Deep Dive: Alternator, Armature, & Impedance

Dr. Mithun Mondal BITS Pilani, Hyderabad Campus Electrical Machines

Demonstrative Video

Factors Affecting Alternator Size

Factors Affecting Alternator Size

  • Efficiency increases as power increases

    • 1 KW \(\Rightarrow \eta = 50\%\) whereas 10 MW \(\Rightarrow \eta = 90\%\)

    • 1000 MW and above \(\Rightarrow \eta = 99\%\)

  • power output per kilogram increases as power increases

    • 1 KW weighs 20 Kg (i.e. 50 W/Kg), then, 10 MW weighing 20,000 Kg yield 500 W/Kg

    • Conclusion: Larger alternator weigh relatively less than smaller ones and are consequently cheaper

  • As size increases cooling problem (high power loss per unit surface area)

  • Effective cooling system (cost increases, sets upper limit)

    • 50 MW (cold air), 50-300 MW (Hydrogen cooling), 1000 MW (hollow water-cooled conductors)

  • Low speed alternator are bigger than high speed alternators of the same power

SECTION 01

Alternator on Load

\(\checkmark\) Like dc gen, as , also varies, due to the following :

    • voltage drop/phase \(I_aR_a\) in phase with \(I_a\)

    • practically negligible

alt load
Alt Load
    • \(\Phi\) setup by \(I_a\) do not cross the air-gap but take different paths, known as

    • \(\Phi_L\) independent of saturation but dependent on \(I_a\)

    • \(\Phi_L\) sets up reactance emf which is ahead of \(I\) by \(90^{\circ}\)

of the load has a considerable effect on the armature reaction
  • of the load has a considerable effect on the armature reaction

  • Combined MMF wave is sinusoidal which

    • moves synchronously, fixed relative to the poles,

    • amplitude \(\propto\) load current,

    • position depends on p.f. of the load

, less emf
    • , less emf

    • field excitation need to be increased to compensate the weakening

    • , more emf

    • field excitation need to be reduced

    • partly distortional and partly demagnetising

reaction alt
Reaction Alt
For different loading:
  • \[X_s = X_L+X_a^{\ast}\]
    varies with the p.f. the load because armature reaction depends on load p.f. The ohmic value of
  • \[Z_s=R_a+jX_s\]
  • For different loading:

    alt vector
    Alt Vector