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Line as source and sink of reactive power, effects

Short answer

A line's shunt capacitance generates reactive power, series inductance absorbs it. At light load, capacitance dominates, line acts as source, causing voltage rise; at heavy load, inductance dominates, line acts as sink, causing voltage drop and increased losses. Compensation (reactors/capacitors) is needed to maintain voltage.

Why do transmission lines perform as source and sink of reactive power? What are their effects on the power system?

A transmission line has both series inductance and shunt capacitance, so it both absorbs and generates reactive power. Which one dominates depends on the load.

Why a line acts as a source or a sink

  • Shunt capacitance generates reactive power: QC=ωCV2Q_C = \omega CV^2 per phase (per unit length). It depends on voltage only, so it is almost constant (voltage stays near rated).
  • Series inductance absorbs reactive power: QL=ωLI2Q_L = \omega LI^2. It depends on the square of load current.

Comparing the two:

Load conditionComparisonLine acts as
Light load (P<P < SIL)ωCV2>ωLI2\omega CV^2 > \omega LI^2Source of Mvar
At SIL (P=P = SIL)ωCV2=ωLI2\omega CV^2 = \omega LI^2Neither (flat voltage)
Heavy load (P>P > SIL)ωCV2<ωLI2\omega CV^2 < \omega LI^2Sink of Mvar

At SIL, V/I=L/C=ZcV/I = \sqrt{L/C} = Z_c, so the two balance exactly.

Effects on the power system

As a source (light load):

  • Receiving-end voltage rises above sending voltage (Ferranti effect); overvoltages stress insulation.
  • Generators may have to absorb Mvar (under-excited operation), which reduces their stability margin.
  • Shunt reactors are needed at line ends.

As a sink (heavy load):

  • Voltage falls along the line and at the receiving end; voltage regulation becomes poor.
  • Extra reactive current increases losses and reduces the capacity for active power.
  • Generators must supply more Mvar; risk of voltage instability or collapse.
  • Shunt capacitors, series capacitors, synchronous condensers or SVCs are needed.

So the voltage profile of a line changes with load, and reactive compensation must be adjustable (switched reactors and capacitors, SVC/STATCOM) to keep voltage within limits throughout the day.

✓ Answer checked by Claude Opus 5.5 (high effort)

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