CHAPTER LIX

LIGHTNING PROTECTION DEVICES

Lightning protection devices, or lightning _arresters_, are devices

for providing a path by which lightning disturbances or other static

discharges may pass to the earth.

Lightning arresters, designed for the protection of transmission lines,

must perform this function with a minimum impairment of the insulation

of the lines.

In general the construction of lightning arresters comprise

1. Air gaps;

2. Resistances;

3. Inductances;

4. Arc suppressing devices.

~Ques. What are the causes of static charges?~

Ans. They may be caused by sandstorms in dry climates, or may be due to

grounds on the high pressure side of a system.

~Ques. What causes high frequency oscillations?~

Ans. They are usually due to lightning discharges in the vicinity of

the line.

~Ques. What are the requirements of lightning protection devices?~

Ans. They must prevent excessive pressure differences between line and

ground, line and line, and between conductor turns in the electrical

apparatus.

~Air Gap Arresters.~--method of relieving any abnormal pressure

condition is to connect a discharge air gap between some point on an

electric conductor and the ground. The resistance thus interposed

between the ground and the conductor is such that any voltage very

much in excess of the maximum normal will cause a discharge to ground,

whereas at other times the conductor is ungrounded because of the air

gap. This forms the principle of air gap arresters.

[Illustration: FIG. 2,349.--Non-arcing multi-gap arrester. Based on

the principle of employing for the terminals across which the arc is

formed, such metals as are least capable of maintaining an alternating

arc between them. This so called non-arcing property of certain metals

was discovered by Alexander Wurtz. The action is such that the "line

current" which follows the lightning discharge follows as an arc, but

is stopped at the end of one alternation because of the property of the

non-arcing metals to carry an arc in one direction, but requiring an

extremely high voltage to start a reverse arc. The non-arcing metals

ordinarily employed are alloys of zinc and copper. Plain multi-gap

arresters as here shown operate satisfactorily with the smaller

machines and on circuits of limited power, but for large machines

of close regulation, and therefore of very large momentary overload

capacity, especially when a number of such are operated in parallel,

such arresters were found insufficient, the line current following the

lightning discharge frequently was so enormous that the circuit did

not open at the end of the half wave, that is the arrester held the

arc and was destroyed. The introduction of synchronous motors made it

necessary that the arc should be extinguished immediately, otherwise

the synchronous motors and converters would drop out of step, and the

system would in this way be shut down. To insure the breaking of the

arc, resistance was introduced in the arrester, the modified device

being known as the low equivalent arrester as shown in fig. 2,350.]

The single gap while adequate for telegraph line protection, was found

insufficient for electric light and power circuits, because since the

current in such circuits is considerable and usually at high pressure

it would follow the lightning discharge across the gap. Thus the

problem arose to devise means for short circuiting the line current

resulting in various modifications of gap arrester.

~Multi-gap Arresters.~--The essential elements of an arrester of this

type are a number of cylinders spaced with a small air gap between them

and placed between the line to be protected and the ground, or between

line and line.

_In operation_, the multi-gap arrester discharges at a much lower

voltage than would a single gap having a length equal to the sum of the

small gaps. In explaining the action of multi-gaps, there are three

things to consider:

[Illustration: FIG. 2,350.--Low equivalent arrester. This is a

modification of the multi-gap arrester shown in fig. 2,349. About half

of the total number of gaps are shunted by a resistance, and another

resistance inserted between the cylinders and the earth. With this

arrangement the middle point is at ground pressure, and there are

between line and ground only one half of the total number of gaps.

This is sufficient to prevent a bridging of the gaps under normal

conditions.]

1. The transmission of the static stress along the line of the

cylinders; 2. The sparking at the gaps; 3. The action and duration of

the current which follows the spark, and the extinguishment of the arc.

~Ques. What is a spark?~

Ans. The conduction of electricity by air.

~Ques. What is an arc.~

Ans. The conduction of electricity by vapor of the electrode.

~Distribution of Static Stress.~--The cylinders of the

multi-gap arrester act like plates of condensers in series.

This condenser function is the essential feature of its

operation.

When a static stress is applied to a series of cylinders

between line and ground, the stress is immediately carried from

end to end.

If the top cylinder be positive it will attract a negative

charge on the face of the adjacent cylinder and repel an equal

positive charge to the opposite face and so on down the entire

row.

The second cylinder has a definite capacity relative to the

third cylinder and also to the ground; consequently the charge

induced on the third cylinder will be less than on the second

cylinder, due to the fact that only part of the positive

charge on the second cylinder induces negative electricity

on the third, while the rest of the charge induces negative

electricity to the ground. Each successive cylinder, counting

from the top of the arrester, will have a slightly smaller

charge of electricity than the preceding one.

[Illustration: FIG. 2,351.--General Electric 2,200 volt multi-gap

arrester for station installation. It consists of fourteen ⅝" knurled

cylinders and two shunt resistance rods mounted on a porcelain base.

One of these rods has a low resistance, and shunts nine gaps; the

other rod has a high resistance, and shunts eleven gaps. The effect

of the shunt resistance in extinguishing the line current arc is the

same, therefore, as that of an equal series resistance but is without

the objectionable features of the latter. Series resistance limits

the discharge current to such an extent that an arrester with series

resistance fails to protect against destructive rises of voltage when

the conditions are severest. Graded shunt resistance responds to all

frequencies and opens a discharge path for excessive voltage when the

frequencies are high as well as when they are low. Its further effect

in withholding the line current from the gaps after the relieving

discharge has occurred, is to aid the non-arcing quality of the metal

cylinders in quickly suppressing the arc that follows a discharge. The

arc is extinguished at the end of the half cycle of line current in

which the discharge takes place.]

~Sparking at the Gaps.~--The quantity of electricity induced

on the second cylinder is greater than on any lower cylinder

and its gap has a greater pressure strain across it as shown in

fig. 2,357. When the voltage across the first gap is sufficient

to spark, the second cylinder is charged to line voltage and

the second gap receives the static strain and breaks down. The

successive action is similar to overturning a row of ten-pins

by pushing the first pin against the second. This phenomenon

explains why a given length of air gap concentrated in one gap

requires more voltage to spark across it than the same total

length made up of a row of multi-gaps.

[Illustration: FIG. 2,352.--General Electric 2,200 volt arrester in the

act of discharging, and shunting the line current. The figure shows

an actual discharge taking place. It will be seen that the heavy line

current passes across only four of the gaps, and then goes through the

resistance rods; while the static discharge passes straight across

the entire series of thirteen gaps. When the gaps of an arrester are

shunted by even a low resistance, discharges of very high frequency

find it relatively difficult to pass through the resistance rods, owing

to the impedance of the rods, but comparatively easy to pass across

all the gaps, owing to the capacity effect in breaking down the gaps.

The higher the frequency, the more pronounced is this effect, hence

the discharges select different paths through gaps and resistances

depending upon the frequency. By frequency is meant, not the frequency

of the line current but the lightning frequency, which may run into

hundreds of thousands, or into millions of cycles. The equivalent

needle gap for this arrester is shown by tests to be nearly the same

for all frequencies and quantities of discharge; that is, the arrester

is equally responsive to all frequencies.]

[Illustration: FIGS. 2,353 to 2,355.--Oscillograph record of the

phenomena that take place in the different circuits or selective paths

of a multi-gap arrester during a discharge such as shown in fig.

2,352.]

As the spark crosses each successive gap, the voltage gradient

along the remainder readjusts itself.

~How the Arc is Extinguished.~--When the sparks extend across

all the gaps the line current will follow if, at that instant,

the line pressure be sufficient. On account of the relatively

greater line current, the distribution of pressure along the

gaps becomes equal, and has the value necessary to maintain the

line current arc on a gap.

The line current continues to flow until the voltage of the

generator passes through zero to the next half cycle, when the

arc extinguishing quality of the metal cylinders comes into

action.

[Illustration: FIGS. 2,356 and 2,357.--Diagram showing condenser action

of cylinders and pressure gradient for static stress.]

The alloy contains a metal of low boiling point which prevents

the reversal of the line current. It is a rectifying effect,

and before the pressure again reverses, the arc vapor in the

gaps has cooled to a non-conducting state.

~Effect of Frequency.~--The higher the frequency of the

lightning oscillation, the more readily will the multi-gap

respond to the pressure.

Briefly stated, the problem is to properly limit the line

current so that the arc may be extinguished; to arrange a shunt

circuit so that the series resistance will be automatically cut

out if safety demand it on account of a heavy lightning stroke

and, while retaining these properties, to make the arrester

sensitive to a wide range of frequency.

It should be noted that series resistance limits the rate of discharge

of the lightning as well as of the line current. The greater the

value of the line current, the greater the number of gaps required to

extinguish the arcs.

~Graded Shunt Resistances.~--Any arc is unstable and can be

extinguished by placing a properly proportioned resistance in parallel

with it. All the minor discharges then pass over the resistances and

the unshunted spark gaps, the resistance assisting in opening the line

current after the discharge.

Very heavy discharges pass over all the spark gaps, as a path without

resistance, but those spark gaps which are shunted by the resistance,

open after the discharge.

The line current, after the first discharge is accordingly deflected

over the resistances, and limited thereby, the circuit being finally

opened by the unshunted spark gaps. The arrangement of shunted

resistances is shown in fig. 2,358.

[Illustration: FIG. 2,358.--Arrangement of graded resistances on

multi-gap arrester.]

~The Cumulative or "Breaking Back" Effect.~--The graded shunt

resistance gives a valuable effect, where the arrester is considered as

four separate arresters. This is the "cumulative" or "breaking back"

action.

When a lightning strain between line and ground takes place, the

pressure is carried down the high resistance H (figs. 2,365 and 2,366),

to the series gaps GS, and the series gaps spark over.

Although it may require several thousand volts to spark across an

air gap, it requires relatively only a few volts to maintain the arc

which follows the spark. In consequence, when the gaps GS spark over,

the lower end of the high resistance is reduced practically to ground

pressure.

If the high resistance can carry the discharge current without giving

an ohmic drop sufficient to break down the shunted gaps GH, nothing

further occurs--the arc goes out.

If, on the contrary, the lightning stroke be too heavy for this, the

pressure strain is thrown across the shunted gaps, GH, equal in number

to the previous set. In other words, the same voltage breaks down

both of the groups of gaps, GS and GH, in succession. The lightning

discharge current is now limited only by the medium resistance M, and

the pressure is concentrated across the gaps, GM.

If the medium resistance cannot discharge the lightning, the gap GM

spark, and the discharge is limited only by the low resistance.

The low resistance should take care of most cases but with

extraordinarily heavy strokes and high frequencies, the discharge can

~break back~ far enough to cut out all resistance.

In the last steps, the resistance is relatively low in proportion to

the number of shunt gaps, GL, and is designed to cut out the line

current immediately from the gap, GL. This "breaking back" effect is

valuable in discharging lightning of low frequency.

[Illustration: FIGS. 2,359 to 2,364.--Westinghouse safety spark gaps.

Fig. 2,359, indoor type; figs. 2,360 to 2,364, outdoor type. It is

well known that with transformers, operating on high voltage lines and

having large ratios of transformation, there may occur, on the low

tension side, momentary voltages to ground greatly in excess of the

normal. These momentary increases in voltage between the low tension

circuits and ground are commonly called ~"static disturbances."~ In

general they are the result of a change in the static balance of

the high tension side and its connecting circuits. Unless certain

precautions are taken, such a static disturbance on the low tension

side may cause serious stresses in the secondary insulation of a

transformer with a high ratio of transformation. This induced static

voltage is independent of the ratio of transformation. The static

stresses are more serious in a high ratio transformer simply because

the insulation of its secondary is less able to withstand them. _A

method of relieving this disturbance_ is to connect a discharge spark

gap between some point of the low tension side of the transformer to

be protected (a middle or neutral point, if one be available) and the

ground. The spark gap opening is such that any voltage very much in

excess of the maximum normal will cause a discharge to ground, and

thus the low tension side is practically tied to ground during such

disturbance, while at other times it is ungrounded. The Underwriters

recommend the grounding of the neutral point of low tension circuits

when the conditions are such that the maximum normal voltage between

the point connected and ground will not exceed 250 volts. The rule

allows one side of a 250 volt circuit or the middle point of a 550 volt

circuit to be grounded. ~The spark gaps shown above~ are designed for

use on transformer secondary circuits and for protecting individual

series arc lamps. These spark gaps are single pole, and consist of

two cylinders of non-arcing metal with an air gap between. One of the

cylinders is connected to the ground, the other to the line.]

[Illustration: FIGS. 2,365 and 2,366.--Graded shunt resistance arrester

connections. Fig. 2,365, connections for 33,000 volt ~Y~ system with

grounded neutral; fig. 2,366, connections for 33,000 volt delta or

ungrounded ~Y~ systems. The type of arrester shown above may be

considered as ~four arresters in one~. ~First,~ for small discharges

there are a few gaps in series with a high shunt resistance. This

part of the arrester will safely discharge accumulated static and

also all disruptive discharges of small ampere capacity. This path

is shown through H (resistance) and GS (gaps). ~Second,~ there are a

number of gaps in series with a medium shunt resistance which will

discharge disruptive strokes of medium ampere capacity. This path is

shown through M (resistance) and GH plus GS (gaps). ~Third,~ there are

a greater number of gaps in series with a low shunt resistance which

will discharge heavy disruptive strokes. This path is shown through L

(resistance) and GM plus GH plus GS (gaps). ~Fourth,~ the total number

of gaps has no series resistance, thus enabling the arrester to freely

discharge the heaviest induced strokes. This path is shown through zero

resistance and GH plus GM plus GH plus GS (gaps). In each of the above

circuits the number of gaps and the resistance are so proportioned as

to extinguish the line arc at the end of the half cycle in which the

lightning discharge takes place.]

[Illustration: FIG. 2,367.--Installation of a General Electric 12,500

volt, three phase, multi-gap lightning arrester in the Garfield Park

sub-station of the West Chicago park common. The "V" unit multi-gap

arrester, which is plainly seen in the illustration, is made up of

"V" units consisting of gaps between knurled cylinders and connected

together at their ends by short metal strips. The base is of porcelain,

which thoroughly insulates each cylinder, and insures the proper

functioning of the multi-gaps. The cylinders are made of an alloy

that contains metal of low boiling point which gives the rectifying

effect, and metals of high boiling point which cannot vaporize in the

presence of the one of low boiling point. The cylinders are heavily

knurled. As the arc plays on the point of a knurl it gradually burns

back and when the metal of low boiling temperature is used up, the gap

is increased at that point. The knurling, thus, insures longer life to

the cylinder by forcing successive arcs to shift to a new point. When

worn along the entire face, the cylinder should be slightly turned.

The low resistance section of the graded shunt is composed of rods of

a metallic alloy. These rods have large current carrying capacity, and

practically zero temperature coefficient up to red heat. The medium and

high resistance rods are of the same standard composition previously

used. The contacts are metal caps shrunk on the ends; the resistances

are permanent in value and the inductance is reduced to a minimum. The

rods are glazed to prevent absorption of moisture and surface arcing.]

After the spark passes, the arcs are extinguished in the reversed

order. The low resistance, L, is proportioned so as to draw the arcs

immediately from the gaps, GL. The line current continues in the next

group of gaps, GM, until the end of the half cycle of the generator

wave.

[Illustration: FIGS. 2,368 to 2,370.--Multi-gap or low equivalent

lightning arrester. It consists of: 1, a number of gap units in series;

2, a number of gap units in shunt with a resistance; and 3, a series

resistance. ~All resistances~ are wire wound and the series resistance

is non-inductive. The shunt resistance and gap units are mounted on

marble. ~When a discharge occurs,~ the series gaps are broken down,

and if the discharge be heavy enough, it will meet opposition in the

shunt resistance and pass over the shunted gaps, through the series

resistance to the ground. ~The arc~ which tends to follow the discharge

is then withdrawn from the shunted gaps by the shunt resistance, and

aided by both resistances is suppressed by the series gaps. ~The

pressure of discharge~ is determined by the number of series gaps as

sufficient number is used to withstand the normal voltage and yet give

a proper factor of safety for the severest service.]

At this instant the medium resistance, M, aids the rectifying quality

of the gaps, GM, by shunting out the low frequency current of the

alternator.

On account of this shunting effect the current dies out sooner in the

gaps, GM, than it otherwise would.

In the same manner, but to a less degree, the high resistance, H, draws

the line current from the gaps, GH.

This current now being limited by the high resistance, the arc is

easily extinguished at the end of the first one-half cycle of the

alternator wave.

~Ques. What is the difference between arrester for grounded Y and

non-grounded neutral systems?~

Ans. The connections are shown in figs. 2,365 and 2,366. The difference

in design lies in the use of a fourth arrester leg between the

multiplex connection and ground or ungrounded system.

~Ques. Why is the fourth leg introduced?~

Ans. The arrester is designed to have two legs between line and line.

If one line become accidentally grounded, the full line voltage would

be thrown across one leg if the fourth or ground leg were not present.

[Illustration: FIG. 2,371.--Westinghouse three pole or four pole

arrester in weather proof wooden case which protects the arrester units

from rain and snow when they are installed in exposed locations, as on

poles or buildings.]

On a ~Y~ system with a grounded neutral, the accidentally

grounded phase causes a short circuit of the phase and the

arrester is relieved of the strain by the tripping of the

circuit breaker. Briefly stated, the fourth or ground leg of

the arrester is used when, for any reason, the system could be

operated, even for a short time with one phase grounded.

~Ques. Describe the multiplex connection.~

Ans. It consists of a common connection between the phase legs of the

arrester above the earth connection and provides an arrester better

adapted to relieve high pressure surges between lines than would

otherwise be possible.

Its use also economizes in space and material for delta and

partially grounded or non-grounded ~Y~ systems.

[Illustration: FIGS. 2,372 and 2,373.--Westinghouse multi-gap

lightning arrester and views showing parts. ~In construction,~ a

series of gaps, between non-arcing metal cylinders arranged in a row,

is connected between line and ground in series with a composition

stick resistor having a resistance of something between 80 and 120

ohms. ~In operation,~ if an excessive pressure be developed on a

line, electric discharge arcs form between the metal cylinders, and

the charge of electricity flows to ground, relieving the excessive

stress. The resistance of the stick resistor limits the flow so that

an excessive power current cannot pass through the arrester. The

tendency for a destructive power arc to follow the discharge arc is

thus counteracted. ~The composition resistors~ and the gap cylinders

are mounted in pairs on a porcelain base, and complete units are

arranged within weather proof wooden boxes as indicated. ~For two pole

arresters,~ one unit is mounted on the back of the box. ~For three pole

and four pole arresters,~ two units are used; one is secured on each

side of the box.] [Illustration: FIGS. 2,374 to 2,376.--Connections

for Westinghouse multi-gap (type G) arresters. These arresters may be

installed outside on poles or buildings, or indoors on station walls.

The weather proof wooden case (as shown in fig. 2,371) protects the

arrester units from rain and snow when installed in exposed places.

Fig. 2,374 shows single phase installation, fig. 2,375, two phase

installation, and fig. 2,376, three phase installation. ~On a two

pole circuit~ one line wire is connected to the top of each of the

composition resistors of each arrester unit, as shown in fig. 2,374,

and the ground wire is connected to the middle point of the gap series.

~On four pole circuits,~ fig. 2,375, the same scheme of connections is

used, but two arrester units are necessary and the connections of both

are the same. ~On three pole circuits,~ two arrester units are used,

with the same connections as for four pole circuits, except that there

are but three line connections instead of four as in fig. 2,376.]

~Horn Gap Arresters.~--A horn gap arrester consists essentially of two

horn shaped terminals forming an air gap of variable length, one horn

being connected to the line to be protected and the other to the ground

usually through series resistance as shown in fig. 2,378.

~Ques. How does the horn gap arrester operate?~

Ans. The arc due to the line current which follows a discharge, rises

between the diverging horn and becoming more and more attenuated is

finally extinguished.

[Illustration: FIG. 2,377.--Horn gap arrester, diagram showing arrester

and connections between line and ground. The horn type arrester

was invented by Oelschlaeger for the Allgemeine Electricitaets

Gesellschaft, and like the Thomson arc circuit arrester, ~its

operation~ is based on the fact that _a short circuit once started at

the base, the heat generated by the arc will cause it to travel upward

until it becomes so attenuated that it is ruptured_. On circuits of

high voltage this rupture sometimes takes a second or two, but seems

to act with little disturbance of the line. ~Sometimes~ _a water

resistance_ is used, a _choke coil being_ inserted in the circuit in

series. ~In one installation~ for a 40,000 volt line, the horns were

made of No. 0,000 copper wire with gap knees 2¼ to 3 or 3¼ inches. The

capacity of the water resistance receptacle was 15 gallons. ~Users

differ~ as to whether the water should contain salt. ~The choke coil~

can be made of about 18 turns of iron wire wound on a 6 inch cylinder.]

~Ques. What is the objection to the horn gap on alternating current

circuits?~

Ans. The arc lasts too long for synchronous apparatus to remain in step.

~Ques. What provision was made to shorten the duration of the arc?~

Ans. A series resistance was inserted in the arrester circuit as shown

in fig. 2,377.

~Ques. What difficulty was caused by the series resistance?~

Ans. With sufficient series resistance to prevent loss of synchronism,

the arrester failed to protect the system under severe conditions.

~Ques. With these objections what use was found for the horn gap

arrester?~

Ans. It is used as an emergency arrester on some overhead lines, to

operate only when a shut down is unavoidable, also for series lighting

circuits.

[Illustration: FIG. 2,378.--General Electric horn gap with charging

resistance for cable system. Arresters for cable systems differ from

arresters for overhead circuits only in the construction of the horn

gaps. The necessity for this difference is due to the fact that a

cable system has a very much higher electrostatic capacity and much

less inductance than an overhead system. In consequence, the currents

which flow into the arrester during charging are somewhat higher. It

is desirable to avoid these heavier currents, especially during the

time of breaking the arc at the horn gap. This is accomplished by

using a special horn gap and resistance. This consists of an auxiliary

horn mounted above and insulated from the regular horn in such a

manner as to intercept the arc if it rise on the regular horns. Enough

resistance is connected in series with this auxiliary horn so that the

current flow and arc across this gap are always limited to a moderate

value. Such a device has several advantages. Since the mechanism is so

arranged that the charging is always done through the auxiliary horn

the current rush is limited during the charging and thus troubles from

carelessness or ignorance are avoided. It also gives a nearer uniform

charging current. In the use of this auxiliary horn gap and resistance

there are three successive stages, as follows: 1, light discharges

will pass across the smaller gaps to the auxiliary horn and through

the series resistance to the cells; 2, if the discharge be heavy, the

resistance offers sufficient impedance to cause the spark to pass to

the main horn. This is accomplished with only a slight increase in

pressure because the gap is already ionized. If the cells be in normal

condition, the spark at the gap is immediately extinguished, without

any flow of line current; 3, if the cells be in poor form, the line

current may follow the discharge across the main gap and the arc will

rise to the safety horn and be extinguished through a resistance. For

mixed overhead and cable systems the choice of arrester will be a

matter of judgment. If there be a comparatively short length of cable,

the usual practice for overhead systems may be adopted. For direct

connection to busbars, arresters with charging resistance should be

used.]

[Illustration: FIGS. 2,379 and 2,380.--Diagram showing connections of

horn type lightning arresters on series circuits.]

The necessity of service requires that series lightning systems

be fully equipped against damage by lightning and similar

trouble. The most common disturbances occurring on series

circuits are the surges set up by the sudden opening of the

loaded circuit. These disturbances are especially severe where

circuits are accidentally grounded, due to contact of the wires

where they pass through other circuits.

~Ques. How are the spark gaps adjusted?~

Ans. They are set to give a low spark pressure relative to the voltage

of the line.

[Illustration: FIG. 2,381.--General Electric horn type arrester,

mounted for 15 light series arc circuit. The horn type arrester

consists of a horn gap with series resistance between each line and

ground. The resistances and horn gaps are mounted on porcelain bases

and the latter on insulating wooden supports. The supports have

asbestos barriers (except for lowest voltages), and backs to eliminate

liability of damage from the arc which forms in the horn gap at the

time of the discharge. The spark gaps are adjusted to give a low spark

pressure relative to the voltage of the circuit. The number and ohmic

value of the resistance rods used in the various arresters depend upon

the voltage and current of the circuit.]

~Ques. Why are horn arresters well suited to protect series lighting

circuits against surges?~

Ans. Because the surges are damped out before the arc which forms

across the horn gaps is interrupted.

These arcs last for several cycles, since the length of the

time of action of the arrester depends upon the lengthening of

the arc between the horn gaps, limited by the series resistance.

Since practically all disturbances on lighting circuits are

of low frequency, the series resistance can be used with good

results; it aids the horn in extinguishing the arc, limits the

size of the arc and prevents short circuits occurring during

the period of discharge.

[Illustration: FIG. 2,382.--General Electric horn arrester for pole

installation. Quite frequently series circuits are run underground

in cables for some distance from the generating station. In order to

protect the cables it is advisable to place horn arresters at the

points where the cable joins the overhead wires. The resistance units

are mounted in the wooden box. This design is used to economize space,

since if the horn gaps be placed in the box the latter would have to

be made very large to accommodate the asbestos barriers and backs. In

installing this type of arrester it is advisable to place it as near as

possible to the top of the pole so that the arc may rise unobstructed

and thus avoid the likelihood of live wires coming in contact with the

horns which, during the operation of the series current, are alive.]

~Electrolytic Arresters.~--Arresters of this class are sometimes

called aluminum arresters because of the property of aluminum on which

their action depends; that is, _it depends on the phenomenon that a

non-conducting film is formed on the surface of aluminum when immersed

in certain electrolytes_.

If however, the film be exposed to a higher pressure, it may be

punctured by many minute holes, thus so reducing its resistance that a

large current may pass. When the pressure is again reduced the holes

become resealed and the film again effective.

[Illustration: FIGS. 2,383 and 2,384.--Elevation and plan of General

Electric horn gaps and operating stand for high voltage arresters.]

In construction, the aluminum arrester consists essentially of a system

of nested aluminum cup shaped trays, supported on porcelain and secured

in frames of heated wood, arranged in a steel tank.

The system of trays is connected between the line and ground, and

between line and line, a horn gap being inserted in the arrester

circuit which prevents the arrester being subjected to the line voltage

except when in action.

The electrolyte is poured into the cones and partly fills the space

between the adjacent ones. The stack of cones with the electrolyte

between them is then immersed in a tank of oil. The electrolyte between

adjacent cones forms an insulation. The oil improves this insulation

and prevents the evaporation of the solution.

[Illustration: FIG. 2,385.--Cross section of General Electric aluminum

(electrolytic) lightning arrester.]

A cylinder of insulating material concentric with the cone stack is

placed between the latter and the steel tank, the object being to

improve the circulation of the oil and increase the insulation between

the tank and the cone stack. The arrester, as just described consists

of a number of cells connected in series.

~Ques. Of what does a single cell consist and what are its

characteristics?~

Ans. It consists of two of the cone shaped aluminium trays or plates

and an electrolyte, which forms a condenser that will stand about 350

volts before breaking down. When this voltage is exceeded the cell

becomes a fairly good conductor of electricity, but as soon as the

voltage drops its resistance again resumes a very high value.

~Ques. What is the critical voltage?~

Ans. The voltage at which the current begins to flow freely.

[Illustration: FIG. 2,386 to 2,390.--Parts of General Electric 15,000

volt aluminum lightning arrester, not including horn gaps, etc.]

Up to a certain voltage the cell allows an exceedingly low

current to flow, but at a higher voltage the current flow is

limited only by the internal resistance of the cell, which is

very low. A close analogy to this action is found in the well

known safety valve of the steam boiler, by which the steam is

confined until the pressure rises above a given value, when

it is released. On the aluminum plates there are myriads of

minute safety valves, so that, if the electric pressure rise

above the critical voltage, the discharge takes place equally

over the entire surface. It is important to distinguish between

the valve action of this hydroxide film and the failure of any

dielectric substance.

~Ques. When a cell is connected permanently to the circuit what two

conditions are involved?~

Ans. The _temporary_ critical voltage and the permanent _critical

voltage_.

For instance, if the cell have 300 volts applied to it constantly,

and the pressure be suddenly increased to, say 325 volts, there will

be a considerable rush of current until the film thickness has been

increased to withstand the extra 25 volts; this usually requires

several seconds. In this case 325 volts is _the_ ~temporary~ _critical

voltage of the cell_.

Similar action will occur at any pressure up to about the ~permanent~

critical voltage, or _the voltage at which the film cannot further

thicken_, and therefore allows a free flow of current.

If the voltage be again reduced to 300 the excess thickness of film

will be gradually dissolved, and if it vary periodically between two

values, each of which is less than the permanent critical value, the

temporary critical voltage will be the higher value. This feature is of

great importance as it provides a means of discharging abnormal surges,

the instant the pressure rises above the impressed value.

[Illustration: FIG. 2,391.--Volt ampere characteristic curve of a

General Electric aluminum (electrolytic) cell on alternating current.

The permanent critical voltage is between 335 and 360 volts. With

alternating current, the cell acts as a fairly good condenser, and

there is not only the leakage through the film, but also a capacity

current flowing into the cell. The phase of this current, then, is

nearly 90 degrees ahead of the pressure and represents a very low

energy factor.]

~Ques. How is the number of cells required for a given circuit

determined?~

Ans. The number required for a given operating voltage is determined by

allowing about 250 to 300 volts per cell.

~Ques. In putting cells in commission how is the electrolyte

introduced?~

Ans. It is poured into the aluminum trays and the overflow drawn off at

the bottom of the tank.

~Ques. Describe the further operations in putting cells in commission.~

Ans. After putting in the electrolyte it is allowed to stand for a few

days until part has evaporated, then the oil is poured over the surface

to prevent further evaporation.

[Illustration: FIG. 2,392.--Westinghouse electrolytic lightning

arrester, for three phase ungrounded neutral service, 25,000 maximum

voltage. These arresters are designed for the protection of alternating

current circuits from all kinds of static disturbances. They have been

standardized for installation on three phase circuits of voltages of

2,200 to 110,000. They cannot be used for voltages of less than 13,500.

For voltages below this the horn gaps cannot, with safety, be set

close enough together, out of doors, to take advantage of the freedom

of discharge of the electrolytic element. If the horn gaps be set too

close together they may be short circuited by rain. A shelter should be

built for arresters of 13,500 volts and below for their protection when

installed outside.]

~Ques. What action takes place when the trays stand in the electrolyte

and cell is disconnected from the circuit?~

Ans. Part of the film deteriorates.

~Ques. What is the nature of the film?~

Ans. The film is composed of two parts, one of which is hard and

insoluble, and apparently acts as a skeleton to hold the more soluble

part. The action of the cell seems to indicate that the soluble part of

the film is composed of gases in a liquid form.

~Ques. What action takes place when a cell which has stood for some

time disconnected, is reconnected to the circuit?~

[Illustration: FIGS. 2,393 and 2,394.--Aluminum trays for Westinghouse

electrolytic lightning arresters.]

Ans. There is a momentary rush of current which reforms the part of the

film which has dissolved.

This current rush will have increasing values as the intervals

of rest of the cell are made greater.

Many electrolytes have been studied, but none has been found

which does not show this dissolution effect to a greater or

lesser extent.

If the cell has stood disconnected from the circuit for some

time, especially in a warm climate, there is a possibility that

the initial current rush will be sufficient to open the circuit

breakers or oil switches. This current rush also raises the

temperature of the cell, and if the temperature rise be great,

it is objectionable.

When the cells do not stand for more than a day, however, the

film dissolution and initial current rush are negligible.

~Ques. What is the object of using horn gaps on electrolytic arresters?~

Ans. The use is threefold: 1, it prevents the arrester being subjected

continually to the line voltage; 2, acts as a disconnecting switch to

disconnect the arrester from the line for repairs, etc., and 3, acts as

a connecting switch for charging.

[Illustration: FIG. 2,395.--Horn gaps and transfer device of General

Electric aluminium lightning arrester for 12,500 volt non-grounded

neutral circuit. The object of the transfer device is to provide a

means for interchanging the ground stacks with one of the line stacks

of cones during the charging operation so that the films of all the

cells will be formed to the same value. The transfer device consists of

a rotating switch which may be turned 180 degrees, thus interchanging

the connections of the ground stack and one of the line stacks.

For arresters up to 27,000 volts the device is mounted with three

insulators on the pipe frame work, and is operated by a hand wheel; for

arresters of higher voltage, the transfer device is mounted directly

over the tanks and is operated by bevel gears and hand wheel.]

~Charging of Electrolytic Arresters.~--In electrolytic arresters all

electrolytes dissolve the film when the arrester is on open circuit,

the extent of the dissolution depending upon the length of time the

film is in the electrolyte, and upon its temperature. It is therefore

necessary to _charge_ the cells from time to time and thus prevent the

dissolution and consequent rush of current which would otherwise occur

when the arrester discharges.

~Ques. Describe the charging operation for arresters with grounded

circuits.~

Ans. It consists in simply closing simultaneously the three horn gaps

so that the full pressure across the cells causes a small charging

current to flow and form the films to their normal condition.

[Illustration: FIG. 2,396.--Sectional view of General Electric ~vacuum

tube arrester~ for railway signal circuits. ~The arrester~ _is

essentially a gap in a vacuum_. ~In construction~, the gap is formed

between the inner wall of a drawn metal shell and a disc electrode

mounted concentric with it. ~The electrode~ is supported on a brass rod

which serves as the lead in connection, and has ample current carrying

capacity. The electrode system is insulated from the tube and rigidly

supported in position by a bushing made of vitreous material. The

bushing does not form the vacuum seal, that being made by a special

compound. ~The open end of the tube~ is finally closed by a porcelain

bushing. The tube is exhausted in a special machine which solders

a small hole in the end after the vacuum has been established. The

possibility of solder entering the active part of the vacuum space

is prevented by a diaphragm punching, and both the electrode and the

lining of the tube are of non-arcing metal. ~The arrester has a spark

pressure of~ from 350 to 600 volts direct current, and an equivalent

needle gap of about .005 inch. The arrester will not stand a continuous

flow of current due to excessive heating, hence if there be a

possibility of this due to high pressure crosses, fuses should be used.

R.R.S.A. standard terminals are used.]

~Ques. Describe the charging operation for arresters for non-grounded

circuits. ~ Ans. First, the horn gaps are closed for five seconds and

opened again to normal position, thus charging the cells of the three

line stacks. Second, with the horn gaps still in normal position, the

position of the transfer device is reversed and the horn gaps are again

closed for five seconds and returned to the normal position.

The complete charging operation takes but a few moments and

should be performed daily. The operation is valuable, not only

in keeping the films in good condition, but also in giving the

operator some idea of the condition of the arrester by enabling

him to observe the size and color of the charging spark.

[Illustration: FIG. 2,397.--Highland Park sub-station, Charlotte, N.C.,

showing old lightning arrester tower on the left and General Electric

aluminum (electrolytic) cell lightning arrester and horn gaps in

foreground.]

~Grounded and Non-grounded Neutral Circuits.~--It is important to avoid

the mistake of choosing an arrester for a thoroughly grounded neutral

when the neutral is only partially grounded, that is, grounded through

an appreciable resistance. Careful consideration of this condition will

make the above statement clear.

In an arrester for a grounded neutral circuit, each stack of cones

normally receives the neutral pressure when the arrester discharges,

but if a phase become accidentally grounded, the line voltage is thrown

across each of the other stacks of cones until the circuit breaker

opens the circuit. The line voltage is 173 per cent. of the neutral or

normal operating voltage of the cells and therefore about 150 per cent.

of the permanent critical voltage of each cell. This means that when

a grounded phase occurs, this 50 per cent. excess pressure is short

circuited through the cells until the circuit breaker opens.

[Illustration: FIG. 2,398.--Westinghouse ~electrolytic station

lightning arrester~ for direct current up to 1,500 volts consists of a

tank of oil in which are placed, on properly insulated supports, a nest

of cup shaped aluminum trays. The spaces between the trays are filled

with electrolyte, a sufficient quantity for one charge being furnished

with each arrester. The top tray is connected with the line through a

60 ampere fuse, and the bottom tray is connected to the tank which is

thoroughly grounded by means of a lug. The fuse is of the enclosed type

and mounted on the cover of the arrester. ~A small charging current~

flows through the trays continuously and keeps the films on the trays

built up, so that no charging is required. This charging current is

not, however, of sufficient value to raise the temperature appreciably.

The immersed area of each tray is 100 square inches. The shape and

the arrangement of the trays is such that any gases generated by the

discharge can pass out readily without disturbing the electrolyte

between the trays.]

The amount of energy to be dissipated in the arrester depends upon the

kilowatt capacity of the generator, the internal resistance of the

cells, and the time required to operate the circuit breakers. It is

evident that the greater the amount of resistance in the neutral, the

longer will be the time required for the circuit breakers to operate.

Therefore, in cases where the earthing resistance in the neutral

is great enough to prevent the automatic circuit breakers opening

practically instantaneously, an arrester for a non-grounded neutral

system should be installed.

[Illustration: FIGS. 2,399 to 2,401.--Westinghouse ground fittings.

Fig. 2,399, ground plate; fig. 2,400, ground point; fig. 2,401,

cap. The ground plate consists of a circular piece of cast iron,

12 inches in diameter, 1⅜ inches thick with a ¾ inch pipe tap in

center to connection to arrester. The surface is increased by means

of corrugations, as shown in the accompanying illustrations, to 461

square inches, affording ample contact with the earth and enabling it

to take care of all discharges through the arrester. The plate should

preferably be buried at the foot of the pole so that the ground wire

runs to it in a straight line from the arrester. Care should, of

course, be taken to see that the earth in which the plate is buried

is damp. If the ground wire be placed within the pipe leading to the

ground plate it should be soldered to a cap at the top of the pipe

to eliminate the inductive effect due to the wire being surrounded

by iron. A simple and effective method of securing a good ground is

by means of an iron pipe with a malleable iron point having a dipped

galvanized finish, and a brass cap with a lug for soldering the ground

wire. The pipe may be driven into the earth, or if it be too hard to

permit driving, a hole may be dug and the pipe placed therein. It

should extend from eight to ten feet above and below the earth to

secure, respectively, a good ground and prevent any tampering with the

ground wire. Should it be desired to make use of a longer pipe which

would be inconvenient to drive into the earth, two pieces can be used

and connected together by a coupling. The brass cap and malleable iron

point are tapped for use with ¾ inch pipe.]

~Ground Connections.~--In all lightning arrester installations it is

of the utmost importance to make proper ground connections, as many

lightning arrester troubles can be traced to bad grounds. It has been

customary to ground a lightning arrester by means of a large metal

plate buried in a bed of charcoal at a depth of six or eight feet in

the earth.

A more satisfactory method of making a ground is to drive a number of

one inch iron pipes six or eight feet into the earth surrounding the

station, connecting all these pipes together by means of a copper wire

or, preferably, by a thin copper strip. A quantity of salt should be

placed around each pipe at the surface of the ground and the ground

should be thoroughly moistened with water. It is advisable to connect

these pipes to the iron framework of the station, and also to any water

mains, metal flumes, or trolley rails which are available.

[Illustration: FIGS. 2,402 to 2,404.--General Electric ~magnetic blow

out arrester~ for use on railways. ~It consists of~ _an adjustable

spark gap in series with a resistance_. ~Part of the resistance~ is in

shunt with a blow out coil, between the poles of which is the spark

gap. The parts are mounted in a strong, porcelain box, which, for car

and pole use, is in turn mounted in a substantial asbestos lined,

wooden box. ~In operation~, when the lighting pressure comes on the

line, it causes the spark gap to break down and a discharge occurs

through the gap and the resistance rod to ground. Part of the current

shunts through the blow out coil producing a strong magnetic field

across the spark gap. The magnetic field blows out the discharge arc

and restores normal conditions. The resistance is only 60 ohms (for 500

volt rating work), and the spark gap only one-fortieth of an inch (.025

in.).]

The following suggestions are made for the usual size station.

1. Place three pipes equally spaced near each outside wall,

making twelve altogether, and place three extra pipes spaced

about six feet apart at a point nearest the arrester.

2. Where plates are placed in streams of running water, they

should be buried in the mud along the bank in preference to

being laid in the stream. Streams with rocky bottoms are to be

avoided.

3. Whenever plates are placed at any distance from the

arrester, it is necessary also to drive a pipe into the

earth directly beneath the arrester, thus making the ground

connection as short as possible. Earth plates at a distance

cannot be depended upon. Long ground wires in a station cannot

be depended upon unless a lead is carried to the parallel

grounding pipes installed as described above.

4. As it is advisable occasionally to examine the underground

connections to see that they are in proper condition, it is

well to keep on file exact plans of the location of ground

plates, ground wires and pipes, with a brief description, so

that the data can be readily referred to.

[Illustration: FIG. 2,405.--General Electric ~magnetic blow out

arrester~ for line use. ~It consists~ essentially of _a small spark

gap which is in series with a resistance, and between the poles of a

magnet_. ~The operation~ is similar to that of the arrester shown in

figs. 2,402 to 2,404, but the magnet is a permanent magnet instead

of an electromagnet. The spark gap and the magnet are mounted within

porcelain blocks in such a way that the discharge arc is blown by the

magnet through an arc chute and a cooling grid which is also held by

the porcelain. ~The cooling grid~ in the arc chute materially assists

the magnet in extinguishing the discharge arc, giving the arrester a

high arc rupturing quality. ~The series rod~ is carborundum and is

connected externally to the other portion of the arrester. The arrester

is self-contained.]

5. From time to time the resistance of these ground connections

should be measured to determine their condition. The resistance

of a single pipe ground in good condition has an average value

of about 15 ohms. A simple and satisfactory method of keeping

account of the condition of the earth connections is to divide

the grounding pipes into two groups and connect each group to

the 110 volt lighting circuit with an ammeter in series.

~Choke Coils.~--A lightning discharge is of an oscillatory character

and possesses the property of self-induction, accordingly it passes

with difficulty through coils of wire. Moreover, the frequency of

oscillation of a lightning discharge being much greater than that of

commercial alternating currents, a coil can readily be constructed

which will offer a relatively high resistance to the passage of

lightning and at the same time allow free passage to all ordinary

electric currents.

Opinions on the design of choke coils for use with lightning

arresters vary considerably. Some engineers recommend the

use of very large choke coils, but while large choke coils

of high inductance do choke back the high frequency currents

better than smaller coils of less inductance, they cost more,

and under many conditions they are a menace to the insulation

unless the lightning arresters be installed on both sides of

them.

[Illustration: FIG. 2,406.--Westinghouse line suspension choke coil.

It is so designed that it can be inserted directly in the transmission

line wire or in the station wiring and held in position therein by

the tension of the line or station wires. Because of the fact that no

insulators are required, solely to support this choke coil, and that

it can be installed in either a vertical or a horizontal position it

can often be utilized effectively in power and sub-station layouts.

Terminals, each having a ½ inch round hole, to accommodate the

conductors are provided at each end of the coil. Three square headed

binding screws are supplied which clamp the conductors in position.

The coil is provided with a strain insulator, so arranged within the

coil at its axis, that it assumes any mechanical tension transmitted

from the conductors. No mechanical tension reaches the turns of the

choke coil proper. In construction, the choke coil is made in but one

size having a current carrying capacity of 200 amperes and is suitable

for a voltage of 2,000 to 22,000. For higher voltages than 22,000,

several choke coils are connected in series. One coil is used for each

22,000 volts or fraction thereof, of the pressure between the wires of

the circuit. ~Application~: This type of choke coil may be used for

alternating current service for the entire range from 22,000 to 110,000

volts. It may be used on transformers, but is not recommended for the

protection of generators.]

Part of the functions of the choke coil are performed by the

end turns of a transformer and extra insulation is invariably

installed in all power transformers built in recent years.

The choice of choke coils must be influenced by the condition

of insulation in the transformers as well as by the cost,

pressure regulation, and nature of the lightning protection

required.

~Ques. What are the primary objects of a choke coil?~

Ans. To hold back the lighting disturbance from the circuit apparatus

during discharge, and to lower the frequency of the oscillation so that

whatever charge gets through the choke coil will be of a frequency too

low to cause serious pressure drop around the first turns of the end

coil in either alternator or transformer.

[Illustration: FIGS. 2,407 to 2,409.--General Electric choke coils.

Fig. 2,407, hour glass choke coil, 45,000 volts; fig. 2,408, low

voltage choke coil, 6,600 volts; fig. 2,409, low voltage choke coil,

4,600 volts.]

If there be no arrester, the choke coil cannot perform the

first function, accordingly a choke coil is best considered as

an auxiliary to an arrester.

~Ques. What is the principal electrical condition to be avoided with a

choke coil?~

Ans. Resonance. The coil should be so arranged that if continual

surges be set up in the circuit, a resonant voltage due to the presence

of the choke coil cannot build up at the transformer or generator

terminals. This factor is a menace to the insulation. Another way of

stating the condition is as follows: So arrange the choke coil as

not to prevent surges, originating in a transformer, passing to the

arrester.

~Ques. What is another electrical condition to be avoided and why?~

Ans. Internal static capacity between adjacent turns

[Illustration: FIG. 2,410.--Westinghouse choke coil for high pressure

transmission circuits, 2,200 to 25,000 volts. Choke coils of this type

are wound without iron cores on circular or elliptical center blocks.

They have a large number of layers and few turns per layer (except

those made for small currents, they usually have one turn per layer),

which give the best condition for insulating and cooling. They are air

cooled, heavily insulated and have a line lead at the top, as shown.

Choke coils are designed to prevent the short circuits sometimes caused

by the local concentration of pressure such as may be produced by a

lightning discharge. They limit, to some extent, an abnormal rise of

pressure on the apparatus by delaying the advance of a static wave from

the line and thus give the arrester more time to act. The disturbance

caused by a lightning flash passes along the line in the form of a

surge or "tidal wave." If this wave pass a choke coil, it is flattened

out, and if the coil be of sufficient power, becomes practically

harmless. It is evident, however, that the choke coil receives the

full force of the wave, and that, consequently, it must be heavily

insulated; moreover, the choke coil must not overheat under load, nor

introduce into the circuit excessive inductive resistance.] of the

choke coil, because this lowers the effectiveness of the coil.

~Ques. What is the object of making choke coils in the form of an hour

glass?~

Ans. To prevent sagging between the supports.

[Illustration: FIG. 2,411.--Westinghouse ~air cooled choke coil~

particularly suitable for outdoor use. ~The method of mounting~ is

such that insulation for any desired voltage is readily obtained with

the same type of porcelain, and mounting in any position is possible.

~The coil~ is a helix of aluminum rod, about 15 inches in diameter

and containing about 30 turns. Bracing clamps are provided to give

mechanical strength to the helix, and the rod used is of sufficient

diameter to carry 200 amperes. The coil is supported on two insulating

columns made up of porcelain insulators, which, except for the end

pieces, are interchangeable. The number of insulators used in the

columns depends on the voltage of the circuit in which the coil is to

be used. The apparatus can be mounted in any position convenient for

the wiring, on floor, wall, or ceiling. ~It is intended principally~

_for the protection of transformers_. Where greater reactance than is

afforded by a single coil is desired on the higher voltage circuits, it

is recommended that two or more coils be connected in series, one coil

being used for each 22,000 line voltage. This coil should not be used

for generators. The insulating columns are supported on substantial

cast iron blocks on wooden bases.]

~Ques. How are choke coils cooled?~

Ans. By air, or by oil.

~Ques. For what service are oil cooled choke coils used?~

Ans. On circuits of pressures above 25,000 volts, choke coils immersed

in oil, as are transformer coils, have advantages in that the coil is

amply insulated not only from the ground but against side flash, and

that copper of comparatively small section may be used without undue

heating.

[Illustration: FIG. 2,412.--Westinghouse ~air cooled choke coil,~

for voltages of from 2,200 to 110,000. ~In construction,~ the coils

are made of aluminum rod wound into a helix of about 15 inches in

diameter and having 20 turns. The helix is supported on two insulators.

For mechanical reasons it is necessary to have the aluminum rod of

sufficient size to secure rigidity, consequently every coil has a

capacity of 200 amperes and may be used on any circuit up to that

capacity. ~The coils~ are insulated according to the standard practice

for disconnecting switches, the insulators being mounted on wooden

pins supported by a wooden base. This apparatus can be mounted in

any position. The wiring of a station or sub-station is facilitated

because the protection may be placed so as to simply form part of the

wiring. The coils are symmetrical so that it is immaterial which end is

connected to the line or to the apparatus.]

~"Static" Interrupters.~--A static interrupter is a _combination of a

choke coil and a condenser_, the two being mounted together and placed

in a tank and oil insulated.

It is used on high pressure circuits and its function is to so

delay the erroneously called "static" wave in its entry into

the transformer coil, that a considerable portion of the latter

will become charged before the terminal will have reached full

pressure.

A choke coil alone sufficiently powerful to accomplish this would be

too large and costly on very high pressure and would interfere with the

operation of the system.

~Ques. How is the condenser and choke coil connected?~

Ans. The condenser is connected between the line and ground behind the

choke coil near the apparatus to be protected as shown in fig. 2,413.

[Illustration: FIG. 2,413.--Diagram showing connections of static

interrupter for protecting a transformer.]

~Ques. What is the effect of the condenser?~

Ans. The condenser, which has a very small electrostatic capacity, has

no appreciable effect upon the normal operation, but a very powerful

effect upon the static wave on account of its extremely high frequency.

Hawkins Electrical Guide v. 07 (of 10) Questions, Answers, & Illustrations, A progressive course of study for engineers, electricians, students and those desiring to acquire a working knowledge of electricity and its applications · 第 5 / 8 章