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Compensation does not reduce load reactive demand

Short answer

Reactive power compensation means placing local sources (e.g., shunt capacitors) to supply reactive power, so the line need not carry it. The load's own demand Q = P tanφ is fixed by the load; compensation only changes the supply point, not the amount the load consumes.

What do you mean by reactive power compensation of a transmission line? How can we do that? Also with necessary example justify that compensation of a line does not reduce the reactive power demand of the load.

Reactive power compensation of a transmission line means supplying or absorbing reactive power at suitable points (usually at the receiving end or along the line) so that the line itself does not have to carry it. Its aims are to keep voltages within limits, reduce line current and losses, and raise the power transfer capability.

Methods of compensation

  1. Shunt capacitors at the receiving end/substations: supply lagging VAr to inductive loads; raise voltage at heavy load.
  2. Shunt reactors: absorb the charging VAr of long EHV lines at light load; control Ferranti rise.
  3. Series capacitors: cancel part of the line reactance XLX_L; reduce voltage drop and raise Pmax=VSVR/XP_{max} = V_SV_R/X.
  4. Synchronous condensers: over- or under-excited synchronous motors on no load; continuously variable Q.
  5. Static VAr compensators (SVC, TCR/TSC) and STATCOM: fast, thyristor/IGBT-controlled variable Q.

Compensation does not reduce the load's own Q demand

The reactive power a load needs is fixed by the load itself: QL=Ptan⁡ϕLQ_L = P\tan\phi_L. A compensator only changes where that Q comes from.

Example: a load of 10 MW at 0.8 pf lagging at 11 kV, fed by a short line with X=5 ΩX = 5\ \Omega.

  • Load demand: QL=10tan⁡(36.87∘)=7.5Q_L = 10\tan(36.87^\circ) = 7.5 MVAr.
QuantityNo compensation5 MVAr capacitor at load
Load P10 MW10 MW
Load Q7.5 MVAr7.5 MVAr
Q from capacitor05 MVAr
Q through line7.5 MVAr2.5 MVAr
Line current656 A541 A
pf seen by line0.800.97

The motor/load still receives 7.5 MVAr in both cases. What changes is that 5 MVAr is now produced locally, so the line carries only 2.5 MVAr. Line current falls from 656 A to 541 A, so I2RI^2R loss falls by about 32 % and the drop IXIX falls.

 Source ===== line =====+------> Load (10 MW, 7.5 MVAr)
         P=10, Q=2.5    |
                       ===  Capacitor supplies 5 MVAr

Hence compensation relieves the line and source of reactive power; it does not reduce the load's reactive power demand.

✓ Answer checked by Claude Opus 5.5 (high effort)

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