Electrical concepts

This guide covers essential electrical engineering concepts for working with ekx's single-line diagram editor.

Power systems overview

Electrical power systems generate, transmit, distribute, and utilize electrical energy:

Generation:

  • Utility power plants
  • On-site generators
  • Renewable sources

Transmission:

  • High voltage (115kV to 765kV)
  • Long distance
  • Minimal losses

Distribution:

  • Medium voltage (4kV to 35kV)
  • Local delivery
  • Substations step down voltage

Utilization:

  • Low voltage (120V to 600V)
  • End-use equipment
  • Lighting, motors, electronics

ekx models distribution and utilization systems - the portions inside facilities.

Single-line diagram purpose

Single-line diagrams (SLDs) show electrical systems in simplified form:

What SLDs show:

  • Major equipment (transformers, switchgear, motors)
  • Protection devices (breakers, fuses)
  • Power flow paths
  • Voltage levels
  • Ratings and nameplate data

What SLDs omit:

  • Three separate phase conductors (shown as single line)
  • Control wiring
  • Grounding details (mostly)
  • Physical layout

SLDs communicate system architecture to engineers, electricians, and operators.

Per-unit vs engineering units

Engineering units (actual values):

  • Volts (V), kilovolts (kV)
  • Amperes (A), kiloamperes (kA)
  • Watts (W), kilowatts (kW), megawatts (MW)

Per-unit (normalized):

  • Voltage as fraction of nominal: V_pu = V_actual / V_nominal
  • Example: 460V on 480V base = 0.958 pu
  • Simplifies analysis across voltage levels
  • Typical range: 0.95 to 1.05 pu

Use per-unit for power flow analysis (easier to spot issues). Use engineering units for equipment verification (matches nameplates).

Voltage levels

Low voltage (utilization):

  • 120V, 208V, 240V, 277V, 480V, 600V
  • Building distribution
  • Direct connection to loads
  • NEMA standards

Medium voltage (distribution):

  • 2.4kV, 4.16kV, 4.8kV, 13.8kV, 23kV, 34.5kV
  • Campus or facility distribution
  • Requires transformers to utilization voltage
  • IEEE standards

High voltage (transmission):

  • 69kV, 115kV, 138kV, 230kV, 345kV, 500kV, 765kV
  • Utility transmission
  • Not typically modeled in ekx

Choose voltage levels based on load size and distance. Higher voltage reduces current and losses but costs more in equipment.

Three-phase power basics

Most industrial/commercial systems use three-phase power:

Advantages:

  • More power from same conductors
  • Constant power delivery (no pulsation)
  • Smaller motors and generators
  • More efficient

Common configurations:

  • Wye (Y): Four-wire (three phases + neutral), 480Y/277V, 208Y/120V
  • Delta (Δ): Three-wire (three phases only), 480V delta

Phase voltage vs line voltage:

  • Wye: V_line = √3 × V_phase
  • Example: 480Y/277V means 480V line-to-line, 277V line-to-neutral

Three-phase power formula:

P = √3 × V_L × I_L × PF

Fault current concepts

Normal current:

  • Load current during proper operation
  • Conductors sized for normal current
  • Typically <1000A for most circuits

Fault current (short-circuit current):

  • Current during electrical fault
  • Can be 10× to 100× normal current
  • Thousands to tens of thousands of amperes
  • Must be interrupted quickly to prevent damage

Fault types:

  • Three-phase (all three phases short together)
  • Phase-to-phase (two phases short)
  • Phase-to-ground (one phase shorts to ground)

Protection devices must interrupt fault current within cycles to prevent fires and equipment damage.

Protection coordination overview

Protection coordination ensures only the faulted section loses power:

Selectivity:

  • Downstream device operates first
  • Upstream device remains closed
  • Minimizes outage area

Coordination methods:

  • Time delay (upstream slower than downstream)
  • Current magnitude (upstream higher setting)
  • Device characteristics (time-current curves)

Properly coordinated systems isolate faults to smallest possible section.

Grid connection points

Service entrance:

  • Where utility power enters facility
  • Metering location
  • Main disconnect required
  • Utility feed in ekx represents this point

Point of common coupling (PCC):

  • Interface between utility and customer
  • Fault contribution from both sides
  • Coordination boundary

Power quality basics

Voltage sag:

  • Temporary voltage drop
  • Causes: motor starting, faults on parallel circuits
  • Can cause equipment malfunction

Voltage swell:

  • Temporary voltage rise
  • Less common than sag
  • Can damage equipment

Harmonics:

  • Non-sinusoidal waveforms
  • Caused by electronic loads
  • Increases heating in conductors and transformers

Power factor:

  • Ratio of real power to apparent power
  • Poor power factor = wasted capacity
  • Corrected with capacitors

ekx's power flow analysis assumes fundamental frequency (60Hz) and sinusoidal waveforms.

Electrical safety

Arc flash:

  • Explosive release of energy during fault
  • Can cause severe injury or death
  • PPE required based on incident energy
  • Reduced by lowering fault current or clearing time

Shock hazard:

  • Direct contact with energized conductors
  • Prevented by insulation, barriers, grounding
  • GFCI protection for personnel safety

Equipment protection:

  • Overcurrent protection (breakers, fuses)
  • Ground fault protection
  • Differential protection for critical equipment

Safety is the primary purpose of electrical protection systems.