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.
- 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.
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).
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.
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.
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.
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.
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
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.
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
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.
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:
| Rating | Meaning | Sets |
|---|---|---|
| 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 duty | tolerance of TOV during faults |
| Nominal discharge current | standard \(8/20~\mu\mathrm{s}\) current (e.g. \(10~\mathrm{kA}\)) | the duty class |
| Residual voltage \(U_{res}\) | voltage across it at the discharge current | the protective level |
| Energy capability | joules it can absorb without damage | survival 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:
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.
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
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.
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.
Worked Examples
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 \((V_2/V_1)^{\alpha}\):
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.
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 \(\mathrm{PM}=(\mathrm{BIL}-U_{res})/U_{res}\):
A margin of about 23.5% — above the customary \(\sim20\%\) minimum, so the protection is adequate, with room for the separation effect and ageing.
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 \(U_s/\sqrt{3}\):
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.
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 \(V_{eq}\approx U_{res}+2SL/v\):
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.
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, \(W\approx U_{res}\,I\,t\):
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.
Chapter Summary
Protection limits the surge to a protective level below the equipment withstand, rather than insulating against the full surge.
Cheap but crude: scattered flashover, power-follow current and a chopped wave keep it to a backup role.
A voltage-dependent resistor: an insulator at operating voltage, a conductor during a surge, self-resetting after.
Gapped SiC (\(\alpha\approx5\)) gave way to gapless metal-oxide (\(\alpha\approx30\)) with no gaps, no follow current, a flat clamp.
MCOV, rated voltage, discharge current and residual voltage; the protective margin \((\mathrm{BIL}-U_{res})/U_{res}\gtrsim20\%\).
Mount close, keep leads short: the separation effect \(V_{eq}\approx U_{res}+2SL/v\) lifts the equipment voltage above the clamp.
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.
- Explain why equipment is protected by limiting surges rather than by insulating against their full magnitude.
- List three drawbacks of a plain rod gap as a surge protector.
- Describe the ideal surge arrester as a voltage-dependent resistor, naming what it does at operating voltage and during a surge.
- Explain why the gapped SiC arrester needs series spark gaps but the metal-oxide arrester does not.
- A ZnO block has \(\alpha=30\). By what factor does its current change for a \(15\%\) rise in voltage?
- 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.
- A \(220~\mathrm{kV}\) system has \(U_s=245~\mathrm{kV}\). Find the minimum continuous line-to-earth voltage the MCOV must cover.
- 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.
- Explain the separation effect and list three practical steps that reduce it.
- Explain how the arrester's protective level and the protective-margin inequality become the foundation of insulation coordination.