---
title: "Need and methods of reactive power compensation"
subject: "Power System Analysis I"
chapter: 6
key: "semester_4/power_system_analysis_i:reactive-compensation-need-methods"
source: https://www.bctengineer.com/q/semester_4/power_system_analysis_i/reactive-compensation-need-methods
site: BCT Engineering
---

# Need and methods of reactive power compensation

Power System Analysis I · Chapter 6: Performance Analysis

- Asked in: 2081 Chaitra (new course), 4+4 marks; 2075 Baisakh, 5 marks (asked 2 times)
- Video: [Lecture-13 Reactive Power Compensation of Transmission Line](https://www.youtube.com/watch?v=iuE7XwpTdBk) — Hiren Kherala
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_4/power_system_analysis_i/reactive-compensation-need-methods
- Whole chapter: https://www.bctengineer.com/md/semester_4/power_system_analysis_i/chapter-6

## Question

Why is reactive power compensation required in a transmission line? Explain the methods used for reactive power compensation.

## Short answer

Reactive power compensation is required for voltage control, loss reduction, increased power transfer, power factor improvement, and voltage stability. Methods include shunt capacitors/reactors, series capacitors, synchronous condensers, SVCs, STATCOMs, and tap-changing transformers.

## Answer

**Reactive power compensation** means supplying or absorbing reactive power at suitable points of the system, so that voltage stays within limits and transmission capacity is used well.

#### Why compensation is required
1. **Voltage control:** the voltage drop in a line is mainly $\Delta V \approx \frac{QX}{V}$. Heavy lagging loads lower the receiving voltage; light loads raise it (Ferranti effect). Compensation keeps voltage within ±5–10 %.
2. **Line behaviour changes with load:** below SIL a line generates Mvar (which must be absorbed by reactors); above SIL it absorbs Mvar (which needs capacitive support).
3. **Reduce losses:** reactive current increases line current and $I^2R$ loss. Supplying Q locally reduces it.
4. **Increase power transfer:** in $P = \frac{V_SV_R}{X}\sin\delta$, series capacitors reduce $X$ and shunt support holds up $V$, raising the stability limit.
5. **Improve power factor** and release capacity of generators, transformers and lines.
6. **Voltage stability:** prevents voltage collapse in heavily loaded systems.

#### Methods

**1. Shunt compensation**
- **Shunt capacitors:** connected at load buses or substations to supply lagging Mvar during heavy load; they raise voltage and p.f. They are cheap, but their output falls with $V^2$.
- **Shunt reactors:** connected at the ends of long EHV lines to absorb the line's charging Mvar at light load; they control the Ferranti rise and switching overvoltages.

**2. Series compensation**
- **Series capacitors** in the line cancel part of the line inductance ($X_{eff} = X_L - X_C$, typically 25–70 % compensation). They increase power transfer and stability and reduce voltage drop. Risk: subsynchronous resonance.

**3. Synchronous condensers**
- Synchronous motors running without mechanical load: when over-excited they supply Mvar, and when under-excited they absorb Mvar. They give smooth, continuous control but are costly and need high maintenance.

**4. Static VAR compensators (SVC) and FACTS**
- SVC: a thyristor-controlled reactor (TCR) plus thyristor-switched or fixed capacitors give fast, variable Q.
- STATCOM (voltage-source converter), TCSC (thyristor-controlled series capacitor) and UPFC give faster and wider control.

**5. Other means:** tap-changing transformers (redistribute Q and adjust voltage) and generator excitation control.

| Method | Supplies/absorbs | Main use |
|---|---|---|
| Shunt capacitor | Supplies | Heavy load, p.f. |
| Shunt reactor | Absorbs | Light load, long lines |
| Series capacitor | Reduces X | Long lines, stability |
| Synchronous condenser | Both | Continuous control |
| SVC / STATCOM | Both, fast | Dynamic voltage support |

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. Why does reactive power affect line voltage?
   A. Voltage drop is approximately QX/V, so heavy lagging loads lower the receiving voltage
   B. Voltage drop is approximately PR/V only, independent of Q
   C. Q raises voltage at heavy load always
   D. Q has no effect on voltage, only on frequency
   Answer: A. In a mostly inductive line, delta V is approximately QX/V, so large Q gives large voltage drop. (Key point: Voltage drop and Q)

2. How does a line behave with respect to Mvar below and above SIL?
   A. Below SIL it absorbs Mvar; above SIL it generates Mvar
   B. Below SIL it generates Mvar; above SIL it absorbs Mvar
   C. It always absorbs Mvar
   D. It always generates Mvar
   Answer: B. Charging Mvar (fixed with voltage) exceeds I^2X absorption at light load; the reverse at heavy load. (Key point: Line below and above SIL)

3. What is the purpose of a series capacitor in a long line?
   A. Absorb charging Mvar at light load
   B. Increase the line reactance
   C. Cancel part of the line inductance (Xeff = XL - XC) to raise power transfer and stability
   D. Supply Mvar in proportion to V^2 at the load bus
   Answer: C. Reducing X in P = VsVr sin(delta)/X increases transfer capability. (Key point: Series capacitor)

4. Which device is used at the ends of long EHV lines to absorb charging Mvar at light load?
   A. Shunt capacitor
   B. Series capacitor
   C. Tap-changing only
   D. Shunt reactor
   Answer: D. Shunt reactors absorb excess charging Mvar and limit Ferranti rise and switching overvoltages. (Key point: Shunt reactor use)

## Related in Power System Analysis I

- [Reactive power compensation and its benefits](https://www.bctengineer.com/question.md?key=semester_4%2Fpower_system_analysis_i%3Areactive-compensation-meaning-benefits) — Power System Analysis I, chapter 6, asked 2×
- [Compensation does not reduce load reactive demand](https://www.bctengineer.com/question.md?key=semester_4%2Fpower_system_analysis_i%3Acompensation-does-not-reduce-load-q) — Power System Analysis I, chapter 6
- [Line as source and sink of reactive power](https://www.bctengineer.com/question.md?key=semester_4%2Fpower_system_analysis_i%3Aline-source-sink-reactive) — Power System Analysis I, chapter 6
- [Line as source and sink of reactive power, effects](https://www.bctengineer.com/question.md?key=semester_4%2Fpower_system_analysis_i%3Aline-source-sink-reactive-effects) — Power System Analysis I, chapter 6
- [Shunt compensation: need and two methods](https://www.bctengineer.com/question.md?key=semester_4%2Fpower_system_analysis_i%3Ashunt-compensation-two-methods) — Power System Analysis I, chapter 6, asked 2×
- [Reactive power proportional to voltage drop](https://www.bctengineer.com/question.md?key=semester_4%2Fpower_system_analysis_i%3Areactive-power-voltage-drop) — Power System Analysis I, chapter 6

## Related in other subjects

- [Charging reactive power of line at no load](https://www.bctengineer.com/question.md?key=semester_8%2Fhigh_voltage_engineering%3Acharging-reactive-power-no-load) — High Voltage Engineering, chapter 3, asked 2×
- [T/F: HVDC converter reactive power need](https://www.bctengineer.com/question.md?key=semester_8%2Ftransmission_and_distribution_system_design%3Atf-hvdc-reactive-power) — Transmission and Distribution System Design, chapter 1
- [Power angle and series compensation](https://www.bctengineer.com/question.md?key=semester_5%2Fpower_system_analysis_ii%3Apower-angle-series-compensation) — Power System Analysis II, chapter 6
- [Effects of real and reactive power mismatch](https://www.bctengineer.com/question.md?key=semester_5%2Fpower_system_analysis_ii%3Apf-qv-mismatch-effects) — Power System Analysis II, chapter 1, asked 4×
