Power Flashcards
National Electric Code (NEC)
- published by National Fire Protection Association (NFPA)
- concerned with safety electrical practices only
- not a guide to efficiency, convenience, or appropriateness
- complying and proper maintenance will result in an installation that is essentially free from hazard
- not necessarily efficient, convenient, or adequate for good service or future expansion of electrical use
- not intended as a design specification nor an instruction manual for untrained persons
mandatory rules of NEC
- identify actions that are specifically required or prohibited
- characterized by the use of the terms “shall” or “shall not”
- exceptions to rules are in italic
permissive rules of the NEC
- actions that are allowed but not required
- are normally used to describe options or alternative methods
- characterized by the use of the terms “shall be permitted” or “shall not be required”
National Electric Safety Code (NESC)
- general purpose is to protect utility personnel and the general public
- specifically “the practical safeguarding of persons during the installation, operation and maintenance of electric supply and communication lines, and associated equipment”
NESC applicability & NEC applicability
NESC applies to everything after the generator except the end-user building
NEC only applies to the end-user building
real power, P
P= Vrms Irms cos θ
- units of watts (W)
- dissipated as heat or converted into mechanical work
- θ is power angle between input voltage and current
- when waveform is a sinusoid:
P = (1/2) Vmax Imax cos θ
purely resistive circuit
- voltage and current in phase (for an AC circuit)
- in resonance (capacitance reactance and inductive reactance cancel)
- cosθ=1
P= Vrms Irms = Vrms^2 / R = Irms^2 R [purely resistive load; pf =1]
energy
ability to do work
power
- rate of flow of energy
- energy per unit time
- as used on the FE exam, it is the RMS quantity unless otherwise stated
reactive power
- power used to provide energy to the magnetic fields of coils of machines or the electric fields of cables, twice per AC cycle
- although not consumed as energy, does represent real current so it produces voltage drop and losses
power triangle
- real power, P
- reactive power, Q
- apparent power, S
- power angel, θ
reactive power, Q
- the power stored and returned without dissipation
- mathematically represented as imaginary
- units: volts-amps reactive (VAR)
- units determine difference in reactive power and real power, real power is in watts
Q = (1/2) Vmax Imax sinθ [sinusoids] Q = Vrms Irms sinθ
apparent power, S
- S = Ieff Veff = (1/2) Im Vm
- magnitude of complex sum of real and reactive power
- units of volt-amps (VA)
- units distinguish apparent power from reactive power (volts-amps reactive) and real power (watts)
- values of S doesn’t show how much is real versus reactive
power angle θ
- overall impedance angle
- same as angle between input voltage and current in the circuit
complex power vector, S
S= V*I = P + jQ
- units of volt-amps (VA)
- I *= complex conjugate of the current
- power angle, θ, and current angle have opposite signs
complex power vector, S continued
- when the current angle is negative, the power factor is lagging
- when the current angle is positive, the power factor is leading
power factor, pf
pf = cosθ
- usually given as a percentage
- positive for both positive and negative angles
- pf=1 for purely resistive load
for inductive circuit,
- lagging power factor
- negative θ
for capacitive circuit,
- leading power factor
- positive θ
power factor correction
- adding reactive power to system to change the system’s power factor
- usually by adding capacitance to a system that is inductive
- when capacitance is storing reactive power, inductance is returning reactive power, and vice versa
Reactive power flow is in power systems and should be minimized, as it
- increases losses
- creates voltage drop
- reduces efficiency
- increases line size (cost)
Maximum Power Transfer
- A fixed network will transfer the maximum power to a load when the load is the complex conjugate of the network equivalent impedance
–> analogous to DC circuits,
using ZL= RL + jXL in place or RL
–> occurs when
Rth + jXth = RL - jXL
net energy exchanged
- inductance and capacitance power transfer
- one direction during part of the half-cycle
- opposite direction during the other part
- source for storage over a cycle is zero
transformer
transfers energy from one circuit to another
- AC current through wire coiled around a magnetic core (the primary winding) generates changing magnetic field
- changing magnetic field induces AC current in secondary winding
- DC current produces constant magnetic field, can’t induce current
- magnetic flux mostly in core (much higher permeability in free space)
used for changing voltages, matching impedances, isolating circuits
- voltage increase of decreases according to ratio of turns in primary and secondary windings
- for impedance matching, turns ratio is chosen so that impedance can be seen by source through transformer matches source impedance
turns ratio, a
- ratio of primary to secondary windings
- also called ratio of transformation
a = N1/N2
step-down transformer
- turns ratio >1
- decreases voltage
step-up transformer
- turns ratio < 1
- increases voltage
ideal transformer
- power absorbed by primary windings equals power generated by secondary windings
IpVp = IsVs - windings have neither resistance nor reactance
turns ratio (ideal transformer)
a = l Vp/Vs l = l Is/ Ip |
input impedance, Z1
- Real primary circuits have input impedance
- Anything attached to the transformer, such as a microphone will contribute to input impedance
- the input impedance contributes to the impedance seen by the source
power
- concerned with voltage and current
- mathematically modeled as having real and imaginary parts
- isn’t real and imaginary; it is dissipated & stored
“real” power
dissipated in resistors or rotating machine mechanical load
“imaginary” power
- stored in electric and/or magnetic fields during one part of the half-cycle
- returned during the other part of the half-cycle