EMF Equation of a Synchronous Generator

Edwiin
05/27/2025

Synchronous Generator and EMF Equation Derivation
A generator operating at synchronous speed is termed a synchronous generator, which converts mechanical power into electrical energy for grid integration. The derivation of the EMF equation for a synchronous generator is as follows:
Notation:
  • P = number of poles
  • ϕ = flux per pole (Weber)
  • N = rotational speed (revolutions per minute, r.p.m)
  • f = frequency (Hertz)
  • Zph = number of series-connected conductors per phase
  • Tph = number of series-connected turns per phase
  • Kc = coil span factor
  • Kd = distribution factor
Derivation: The flux cut by each conductor in one revolution is Pϕ Weber. The time to complete one revolution is 60​/N seconds. The average EMF induced per conductor is given by:
Average EMF induced per phase will be given by the equation shown below:
Average EMF Equation Assumptions
The derivation of the average EMF equation is based on the following assumptions:
  • Coils exhibit full pitch configuration.
  • All conductors are concentrated within a single stator slot.
The root mean square (RMS) value of the induced EMF per phase is expressed as:Eph = Average Value×Form Factor Thus,
EMF Equation and Winding Factors
Equation (1) above represents the EMF equation of a synchronous generator.
Coil Span Factor (Kc)
The coil span factor is defined as the ratio of the induced EMF in a short-pitched coil to that in an identical full-pitched coil.
Distribution Factor (Kd)
The distribution factor is the ratio of the induced EMF in a distributed coil group (wound across multiple slots) to that in a concentrated coil group (wound in a single slot).
Edwiin

Analysis of Transformer Capacity, Load Rate and Number of Units Selection Issues
Analysis of Transformer Capacity, Load Rate and Number of Units Selection Issues
The safe and economical operation of power transformers is related to the safety, economy, stability, and reliability of the operations of various industries. The limitations of conditions such as the investment economic indicators for its selection, the economic benefits of maintenance and operation, and the adaptability in the new environment (access of distributed power sources, configuration of energy storage, etc.) make it impossible to include comprehensive factors in other aspects.The cap
Leon
07/17/2025
Generator Protection – Types of Faults & Protection Devices
Generator Protection – Types of Faults & Protection Devices
Common Generator Faults and Protection SystemsClassification of Generator FaultsGenerator faults are primarily categorized into internal and external types:Internal Faults: Arise from issues within generator components.External Faults: Stem from abnormal operating conditions or external network issues.Faults in prime movers (e.g., diesel engines, turbines) are mechanical in nature and defined during equipment design, though they must integrate with generator protections for tripping purposes.Typ
Edwiin
06/05/2025
Short Circuit Ratio of a Synchronous Machine
Short Circuit Ratio of a Synchronous Machine
The Short Circuit Ratio (SCR) of a Synchronous MachineThe Short Circuit Ratio (SCR) of a synchronous machine is defined as the ratio of the field current needed to generate rated voltage under open-circuit conditions to the field current required to sustain rated armature current during a short-circuit condition. For a three-phase synchronous machine, the SCR can be derived from its Open-Circuit Characteristic (O.C.C) at rated speed and Short-Circuit Characteristic (S.C.C), as illustrated in the
Edwiin
06/04/2025
Equivalent Circuit of a Transformer
Equivalent Circuit of a Transformer
The equivalent circuit diagram of any device can be extremely useful for predicting how the device will behave under different operating conditions. It is essentially a circuit - based depiction of the equations that describe the device's performance.The simplified equivalent circuit of a transformer is constructed by representing all of the transformer's parameters on either the secondary side or the primary side. The equivalent circuit diagram of the transformer is presented below:Let the equi
Edwiin
06/03/2025
Inquiry
Download
IEE-Business is dedicated to serving the personnel in the global power industry.
Join IEE-Business, not only can you discover power equipment and power knowledge, but also canhnd like - minded friends!