Part 7 · Chapter 24

Protection Against Overvoltages

The last two chapters showed where dangerous surges come from and how big they are. This one answers the practical question they raise: how do we keep those surges from destroying the apparatus they reach? The strategy is not to insulate against the full surge — that would be impossibly expensive — but to limit it. A protective device watches the line, stays out of the way at normal voltage, and the instant a surge appears throws open a path to earth that clamps the voltage to a safe ceiling. The story of that device is the story of the surge arrester, from the crude spark gap to the elegant metal-oxide block that quietly guards almost every substation today.

High-Voltage Engineering Prof. Mithun Mondal Reading time ≈ 45 min
i What you'll learn
  • The protective-level idea: hold the voltage at the equipment below its withstand, with margin, by limiting the surge.
  • The simple rod / spark gap and why its scatter, follow current and chopped wave limit it to a backup role.
  • The surge-arrester concept — a voltage-dependent device, an insulator at normal voltage and a conductor during a surge.
  • The gapped silicon-carbide arrester (\(I=kV^{\alpha}\), \(\alpha\approx5\)) and the modern gapless metal-oxide (ZnO) arrester (\(\alpha\approx30\)).
  • The key ratings — MCOV, rated voltage, nominal discharge current, residual voltage — and the protective margin.
  • The separation effect that forces arresters close to the equipment, and how the protective level seeds insulation coordination.
Section 24-1

The Protection Problem

An overhead line may face a lightning surge of megavolts and a switching surge of two or three per unit; the transformer at its end is built to withstand far less. Insulating the transformer to survive the full surge would make it enormous and ruinously costly, so power engineering takes the opposite path: it limits the surge at the equipment to a level the equipment can comfortably bear. The number that matters is the protective level — the highest voltage a protective device will allow to appear — which must sit safely below the equipment's withstand voltage (its BIL for lightning, its SIL for switching).

V equipment withstand (BIL) arrester protective level continuous operating (MCOV) protective margin
The protection ladder — the arrester holds the voltage at its protective level, which must sit below the equipment withstand by the protective margin, while staying clear of the continuous operating voltage at the bottom

So protection has two non-negotiable conditions. The device must do nothing at the continuous operating voltage — drawing negligible current and wasting no energy year after year — yet must act decisively the instant a surge arrives, clamping it below the withstand. A device that conducts too eagerly fails the first test; one that clamps too high fails the second. The whole evolution of arrester technology is the search for a device that meets both demands ever more cleanly.

Section 24-2

The Rod and Spark Gap

The oldest protector is the simplest: a rod gap — two metal rods separated by an air gap, connected across the insulation to be protected, with the gap set so that it flashes over at a voltage below the equipment's withstand. When a surge arrives, the gap sparks over and short-circuits the surge to earth before the equipment can be harmed. It is cheap, rugged and entirely passive.

line spark-over equipment
A rod gap across the insulation — set to spark over below the equipment withstand, it diverts the surge to earth, but its scattered flashover, power-follow current and chopped wave keep it a backup rather than a primary protector

But its very simplicity is its weakness. The flashover voltage scatters widely with weather and surge shape, so the protective level is imprecise. Worse, once the gap has flashed over it does not self-extinguish: the power-frequency voltage keeps driving a follow current through the ionised gap, so the surge protection has created a line-to-earth fault that the breakers must clear, interrupting supply. And the abrupt collapse of voltage when the gap fires produces a steep chopped wave that stresses transformer winding insulation severely. For these reasons the plain gap survives only as a cheap backup; real protection needs a device that limits the voltage smoothly and then resets itself.

Section 24-3

The Surge-Arrester Idea

The ideal protector is a voltage-dependent resistor connected from line to earth. At the normal operating voltage it presents an enormous resistance and draws only a trickle of current — effectively an insulator. When the voltage rises toward a danger level, its resistance collapses, so it conducts the surge current to earth and, by Ohm's law, holds the voltage across itself nearly constant at a safe clamping value. When the surge passes and the voltage falls, its resistance climbs again and it reseals into the insulating state, leaving the system undisturbed. This is the surge arrester: not a switch that opens a fault path, but a clamp that pins the voltage to a ceiling and then quietly steps aside.

line surge ZnO blocks normal µA · insulator surge kA → earth clamps to U_res
The surge arrester as a clamp — connected permanently from line to earth, it draws only microamps at normal voltage (an insulator) but conducts kiloamps to earth during a surge, holding the line at its residual voltage \(U_{res}\)
An arrester is a voltage clamp, not a switch. Its magic is a sharply non-linear resistance: almost infinite at operating voltage, almost zero during a surge. Because the resistance — not a mechanical contact — does the work, the clamping is fast, smooth and self-resetting. The better the non-linearity, the closer the arrester comes to the ideal of a perfectly flat voltage ceiling.
Section 24-4

The Gapped Silicon-Carbide Arrester

The first practical realisation used blocks of silicon carbide (SiC), a ceramic whose resistance falls as the voltage across it rises, following a non-linear law

Non-linear resistor characteristic
\[ I = k\,V^{\alpha} \qquad (\text{SiC: } \alpha \approx 4\text{–}6) \]

An \(\alpha\) of about five is helpful but not enough on its own: at the continuous operating voltage a SiC block would still pass a substantial current and overheat. So the SiC arrester places series spark gaps in front of the blocks. In normal service the gaps stand off the operating voltage, isolating the blocks entirely. When a surge arrives the gaps spark over, connecting the SiC blocks, which then limit the discharge voltage; and crucially the same blocks throttle the power-frequency follow current after the surge down to a value the gaps can interrupt at the next current zero, so the arrester reseals without leaving a fault. This gapped SiC design protected the grid for decades, but it carries the gaps' scatter and the complication of follow-current interruption — burdens the next generation would shed.

Section 24-5

The Gapless Metal-Oxide Arrester

The modern arrester is built from metal-oxide (zinc-oxide, ZnO) varistor blocks, whose non-linearity is so extreme that the gaps can be thrown away entirely. Its exponent is

Metal-oxide characteristic
\[ I = k\,V^{\alpha} \qquad (\text{ZnO: } \alpha \approx 25\text{–}50) \]
V log I → µA A kA linear R SiC (α≈5) ZnO (α≈30) MCOV (µA) discharge (kA) ≈ residual voltage
The non-linear characteristic — a metal-oxide (ZnO) block is so sharply non-linear that the voltage barely changes between a microamp operating current and a kiloamp discharge current, giving an almost flat clamping ceiling that the gentler SiC curve cannot match

The consequence is striking. With \(\alpha\) near thirty, the current changes by orders of magnitude while the voltage barely moves: at the maximum continuous operating voltage the ZnO column draws less than a milliampere — mostly harmless capacitive leakage — so no series gap is needed to isolate it. The arrester is therefore gapless, permanently connected, always watching. When a surge drives the voltage up by a modest fraction, the current leaps from microamps to kiloamps, and the steep characteristic holds the voltage almost flat at the residual (discharge) voltage. With no gaps there is no spark-over scatter, no follow current to interrupt, and no chopped wave — the response is instantaneous and perfectly repeatable. Simpler, faster and more reliable, the gapless metal-oxide arrester has become the universal choice for surge protection from distribution voltages to UHV.

Section 24-6

Ratings and the Protective Margin

An arrester is specified by a small set of ratings that together guarantee it meets the two demands of Section 24-1. The most important are:

RatingMeaningSets
MCOV \(U_c\)max continuous operating voltage (rms)that it idles safely at operating voltage
Rated voltage \(U_r\)withstands this rms voltage incl. temporary overvoltage dutytolerance of TOV during faults
Nominal discharge currentstandard \(8/20~\mu\mathrm{s}\) current (e.g. \(10~\mathrm{kA}\))the duty class
Residual voltage \(U_{res}\)voltage across it at the discharge currentthe protective level
Energy capabilityjoules it can absorb without damagesurvival of long switching surges

Selection threads a needle. The MCOV must exceed the continuous line-to-earth voltage \(U_s/\sqrt{3}\), and the rated voltage must ride out the temporary overvoltage that the healthy phases see during an earth fault — push these too low and the arrester overheats or fails. Yet the residual voltage, which is the protective level, must stay comfortably below the equipment withstand — push the ratings too high and the protection is too loose. The quality of the protection is measured by the protective margin:

Protective margin
\[ \mathrm{PM} = \frac{\text{withstand} - U_{res}}{U_{res}}\times 100\% \]
🔑
A margin to live by
\[ \mathrm{PM} = \frac{\mathrm{BIL} - U_{res}}{U_{res}} \gtrsim 20\% \]

The equipment withstand (BIL for lightning, SIL for switching) must exceed the arrester's protective level by a margin — commonly at least about \(20\%\) — to allow for the separation effect, ageing, and statistical scatter. This single inequality is the link between the arrester and the equipment, and the seed of insulation coordination.

Section 24-7

Placement and the Separation Effect

An arrester clamps the voltage at its own terminals — but the equipment it protects sits a few metres away, and that distance matters more than intuition suggests. An incoming surge with a steep front reaches the equipment, reflects off it (often an open or high-impedance point, where the wave tends to double as in Chapter 23), and so the voltage at the equipment can climb above the arrester's clamping level while the surge front is still rising. The faster the front and the greater the separation, the larger this excess. A useful estimate of the equipment voltage is

Separation effect
\[ V_{eq} \approx U_{res} + \frac{2\,S\,L}{v} \]
surge, steepness S ZnO U_res separation L transformer V_eq > U_res
The separation effect — the arrester clamps to \(U_{res}\) at its own terminals, but the transformer a distance \(L\) away sees a higher voltage \(V_{eq}\approx U_{res}+2SL/v\); the steeper the surge and the longer the lead, the worse it gets — hence "mount the arrester close"

The practical rules follow directly. Mount the arrester as close as possible to the equipment, above all to a transformer; keep the connecting and earthing leads short, because their inductance adds an \(L\,\mathrm{d}i/\mathrm{d}t\) rise of its own; and provide a low-resistance earth so the diverted current flows away cleanly. For especially sensitive apparatus — rotating machines, whose winding insulation is thin and whose turn-to-turn insulation hates steep fronts — a surge capacitor is added in parallel to slope the wavefront, lowering its steepness \(S\) and so easing both the separation effect and the stress on the first turns.

Section 24-8

Toward Coordination

The arrester gives the system a known, dependable ceiling on overvoltage — its protective level — and the protective-margin inequality ties that ceiling to the strength chosen for each piece of equipment. This is exactly the raw material of insulation coordination: arrange the withstand levels of every component, and the protective levels of the arresters that guard them, into one consistent, economical scheme in which the weakest planned path to flashover is always a safe, self-restoring one (a line gap or the arrester itself) rather than the costly internal insulation of a transformer. The arrester fixes the ceiling; the next chapter shows how the whole system's insulation is then designed beneath it — how the BILs and SILs are selected, how the margins are justified statistically, and how the standards turn this reasoning into the numbers that appear on every equipment nameplate.

Section 24-9

Worked Examples

1 The power of non-linearity

Problem. A ZnO block follows \(I=kV^{\alpha}\) with \(\alpha=26\). By what factor does the current rise if the voltage increases by just \(10\%\)?

Solution. The current ratio is \((V_2/V_1)^{\alpha}\):

Working
\[ \frac{I_2}{I_1} = (1.10)^{26} \approx 11.9 \]

A mere \(10\%\) rise in voltage multiplies the current nearly twelvefold. This is exactly why the ZnO arrester can sit idle at operating voltage yet pass kiloamps during a surge while its voltage barely moves.

2 Protective margin

Problem. A transformer has a lightning withstand (BIL) of \(1050~\mathrm{kV}\). Its arrester has a residual voltage of \(850~\mathrm{kV}\) at the nominal discharge current. Find the protective margin.

Solution. Apply \(\mathrm{PM}=(\mathrm{BIL}-U_{res})/U_{res}\):

Working
\[ \mathrm{PM} = \frac{1050 - 850}{850}\times100\% \approx 23.5\% \]

A margin of about 23.5% — above the customary \(\sim20\%\) minimum, so the protection is adequate, with room for the separation effect and ageing.

3 Choosing the MCOV

Problem. A \(400~\mathrm{kV}\) system has a highest voltage \(U_s = 420~\mathrm{kV}\). What is the minimum continuous voltage the arrester's MCOV must cover for a line-to-earth connection?

Solution. The continuous line-to-earth voltage is \(U_s/\sqrt{3}\):

Working
\[ \frac{U_s}{\sqrt{3}} = \frac{420}{\sqrt{3}} \approx 242~\mathrm{kV} \]

The MCOV must exceed about 242 kV (a margin is added in practice), and the rated voltage is then chosen higher still to ride out the temporary overvoltage during earth faults.

4 The separation effect

Problem. An arrester clamps to \(U_{res}=850~\mathrm{kV}\). A surge of steepness \(S=1000~\mathrm{kV}/\mu\mathrm{s}\) reaches equipment \(L=30~\mathrm{m}\) away, with \(v=300~\mathrm{m}/\mu\mathrm{s}\). Estimate the voltage at the equipment.

Solution. Apply \(V_{eq}\approx U_{res}+2SL/v\):

Working
\[ V_{eq} \approx 850 + \frac{2(1000)(30)}{300} = 850 + 200 = 1050~\mathrm{kV} \]

The equipment sees about 1050 kV — \(200~\mathrm{kV}\) above the arrester's clamp, purely from the \(30~\mathrm{m}\) separation. Halving the distance would halve the excess, which is why arresters are mounted right at the transformer.

5 Energy absorbed in a discharge

Problem. An arrester at residual voltage \(U_{res}=850~\mathrm{kV}\) passes a discharge equivalent to \(10~\mathrm{kA}\) for about \(20~\mu\mathrm{s}\). Estimate the energy it must absorb.

Solution. With voltage roughly constant, \(W\approx U_{res}\,I\,t\):

Working
\[ W \approx (850\times10^{3})(10\times10^{3})(20\times10^{-6}) \approx 1.7\times10^{5}~\mathrm{J} = 170~\mathrm{kJ} \]

Roughly 170 kJ for this equivalent rectangular pulse — well within a transmission arrester's energy class, but a reminder that long switching surges, which last far longer, are often the real test of an arrester's energy capability.

Review

Chapter Summary

Limit, don't insulate

Protection limits the surge to a protective level below the equipment withstand, rather than insulating against the full surge.

The rod gap

Cheap but crude: scattered flashover, power-follow current and a chopped wave keep it to a backup role.

The arrester idea

A voltage-dependent resistor: an insulator at operating voltage, a conductor during a surge, self-resetting after.

SiC → ZnO

Gapped SiC (\(\alpha\approx5\)) gave way to gapless metal-oxide (\(\alpha\approx30\)) with no gaps, no follow current, a flat clamp.

Ratings & margin

MCOV, rated voltage, discharge current and residual voltage; the protective margin \((\mathrm{BIL}-U_{res})/U_{res}\gtrsim20\%\).

Placement

Mount close, keep leads short: the separation effect \(V_{eq}\approx U_{res}+2SL/v\) lifts the equipment voltage above the clamp.

Practice

Problems

For each item, first identify what it tests — the protective-level idea, the rod gap, the arrester concept, the SiC/ZnO characteristic, the ratings and margin, or the separation effect — then apply it. Difficulty rises down the list.

  1. Explain why equipment is protected by limiting surges rather than by insulating against their full magnitude.
  2. List three drawbacks of a plain rod gap as a surge protector.
  3. Describe the ideal surge arrester as a voltage-dependent resistor, naming what it does at operating voltage and during a surge.
  4. Explain why the gapped SiC arrester needs series spark gaps but the metal-oxide arrester does not.
  5. A ZnO block has \(\alpha=30\). By what factor does its current change for a \(15\%\) rise in voltage?
  6. An arrester has a residual voltage of \(620~\mathrm{kV}\); the equipment BIL is \(750~\mathrm{kV}\). Find the protective margin and say whether it is acceptable.
  7. A \(220~\mathrm{kV}\) system has \(U_s=245~\mathrm{kV}\). Find the minimum continuous line-to-earth voltage the MCOV must cover.
  8. An arrester clamps to \(500~\mathrm{kV}\); a \(800~\mathrm{kV}/\mu\mathrm{s}\) surge reaches equipment \(20~\mathrm{m}\) away (\(v=300~\mathrm{m}/\mu\mathrm{s}\)). Estimate the equipment voltage.
  9. Explain the separation effect and list three practical steps that reduce it.
  10. Explain how the arrester's protective level and the protective-margin inequality become the foundation of insulation coordination.
Tip: this chapter turns on one device and one inequality. The device is the gapless metal-oxide arrester — a resistor so non-linear (\(I=kV^{\alpha}\), \(\alpha\approx30\)) that it idles at microamps and clamps at kiloamps with a nearly flat voltage, an insulator and a conductor in one block. The inequality is the protective margin \((\mathrm{BIL}-U_{res})/U_{res}\gtrsim20\%\): the arrester's residual voltage is the ceiling, the equipment withstand must sit above it, and the separation effect \(V_{eq}\approx U_{res}+2SL/v\) is why the arrester must hug the equipment it guards. Fix that ceiling, hold that margin, and you have set the stage for the full insulation coordination of Chapter 25.