[0001] Many elongate electrical heaters, e.g. for heating pipes, tanks and other apparatus
in the chemical process industry, comprise two (or more) relatively low resistance
conductors which are connected at one end to the power source and run the length of
the heater, with a plurality of heating elements connected in parallel with each other
between the conductors. An advantage of such heaters is that they can, if necessary,
be cut to length. In one class of such heaters, the heating elements are in the form
of a continuous or segmented strip of conductive polymer which lies between the conductors.
In a second class, the heating elements are in the form of one or more resistive heating
wires which progress down the length of the heater and are connected at intervals
to alternate conductors; such heaters are usually referred to as zone heaters. Zone
heaters, when cut to length, have a cold spot at the cut end, the length of the cold
spot depending on where the cut is made. For many uses, elongate heaters are preferably
self-regulating. This can be achieved, for example, in the first class given above,
by using a continuous strip of conductive polymer at least a part of which exhibits
PTC behavior, and in the second class, by connecting the heating wire(s) to one or
both of the conductors through a connecting element composed of a PTC material.
[0002] Although the conductors in such elongate heaters are of relatively low resistance,
there is still a finite loss of potential between them as the distance from the power
source increases, and this limits the length of heater which can be employed, since
the power generated by the heating elements depends in part upon the potential difference
between the conductors. The maximum length of such a heater can be increased by increasing
the size of the conductors, but this is expensive and results in a heater which is
heavier and has reduced flexibility. Another limitation of self-regulating heaters
is that their resistance, when cold, is often much less than their resistance at steady
state operation; consequently they draw a much larger current when they are first
switched on, and therefore suffer from the problem of current inrush. Another limitation
of many heaters is that they can only be powered by supply voltages within a particular
range.
[0003] Elongate heaters of various kinds, and conductive polymers for use in such heaters,
are disclosed in U. S. Patents Nos. 2,952,761, 2,978,665, 3,243,753, 3,351,882, 3,571,777,
3,757,086, 3,793,716, 3,823,217, 3,858,144, 3,861,029, 4,017,715, 4,072,848, 4,085,286,
4,117,312, 4,177,376, 4,177,446, 4,188,276, 4,237,441, 4,242,573, 4,246,468, 4,250,400,
4,255,698, 4,272,471, 4,314,230, 4,315,237, 4,318,881, 4,330,704, 4,334,351 and 4,361,799,
J. Applied Polymer Science 19, 813-815 (1975), Klason and Kubat; Polymer Engineering
and Science 18, 649-653 (1978), Narkis et al; and German OLS 2,634,999; 2,755,077;
2,746,602; 2,755,076; and 2,821,799; and published European Patent Applications Nos.
0038713, 0038714, 0038715, 0038718 0063440 and 0067679. The disclosure of each of
the patents, publications and applications referred to above is incorporated herein
by reference.
[0004] We have now discovered that substantial improvements can be made in the performance
of elongate electrical devices comprising two elongate electrical connection means
and a plurality of electrical elements which are connected in parallel between them,
by connecting the power supply to one of the electrical connection means at one end
of the device and to the second electrical connection means at the other end of the
device. When the device is connected in this way and the two connection means have
the same impedance (as is usually the case), the potential drop between the two connection
means is similar (and, in theory at least, can be the same) at the near end of the
device as at the far end. This balancing of the potential drop over the length of
the device leads to substantially improved performance. In addition, the voltage dropped
over each of the elements (c) is less than the voltage dropped over the elements (c)
nearest the power source when the device is connected in the conventional way. The
reduction in the voltage dropped over the elements (c) is particularly marked when
the third connection means has substantial impedance. Furthermore, by connecting a
PTC heater in this way, any problem of current inrush can be substantially reduced.
In addition, since the power supply is connected to the second connection means (at
the other end of the device) through a third connection means, which can be of any
kind, very valuable results can be obtained by correlation of the properties of the
third connection means with the remainder of the circuit, in particular their relative
impedances and their variation with temperature. Examples of suitable third electrical
connection means include
(1) a simple conductor, e.g a wire or metal strip, which
(a) has an impedance which does not vary substantially in the temperature range of
operation and which is substantially the same as, or substantially less than, or substantially
greater than, the impedance of each of the first and second electrical connection
means; or
(b) has an impedance which decreases substantially as the temperature increases; or
(c) has an impedance which increases substantially as the temperature increases;
(2) another electrical device comprising two elongate electrical connection means
and a plurality of electrical elements which are connected in parallel between them;
and
(3) when a DC power supply is used, a ground connection.
[0005] The devices used in the present invention are usually physically located so that
one end of the device is nearer to the power supply than the other. Accordingly, for
ease and clarity in describing and claiming the invention, the terms "near end" and
"far end" are used in this specification to identify the ends of the elongate connection
means and the devices containing them. It is to be understood, however, that the invention
includes devices which have been arranged, e.g. in a loop, so that the "far end" is
closer to the power supply than the "near end" or so that the near and far ends are
equidistant from the power supply.
[0006] The invention is illustrated by the accompanying drawings, in which
Figure 1 is a diagrammatic view of a conventional conductive polymer strip heater
which comprises conductors 1 and 2 embedded in a conductive polymer strip 11 and which
is conventionally connected to a power supply 8;
Figure 2 is a diagrammatic view of a conventional zone heater which comprises heating
wires 15 connected to conductors 1 and 2 and which is conventionally connected to
a power supply 8;
Figure 3 is a diagrammatic view of a conductive polymer strip heater as in Figure
1 which is connected to a power supply through a third connection means 3 to provide
a circuit of the invention:
Figures 4 and 5 are equivalent circuits of Figure 3 when the conductive polymer exhibits
PTC behavior and ZTC behavior respectively;
Figure 6 is a cross-section through a composite device which comprises a heater and
a third connection means as shown diagrammatically in Figure 3, the heater and the
connecting means being provided with insulating polymeric jackets 12 and 34 respectively,
and also comprising polymeric insulating body 41 which connects the heater and the
connection means;
Figure 7 is a diagrammatic view of a zone heater in which heating wires 32 are connected
to conductors 1 and 2 and which is connected to a power source to provide a circuit
of the invention (Figure 5 is also the equivalent circuit of Figure 7);
Figure 8 is a diagrammatic view of a zone heater in which heating wires 32 are connected
to conductors 1 and 2 through PTC components 31 and which is connected to a power
source to provide a circuit of the invention;
Figure 9 shows the current in the circuit of Figure 1 and in the circuit of Figure
4 as a function of time immediately after the circuit has been completed;
Figure 10 shows how power is generated, during steady state operation of the circuits
of Figures 1, 2, 4 and 5, between the two ends of the heater;
Figure 11 is the same as Figure 3, except that the near ends of the first and second
conductors are connected to each other through a resistor 35;
Figure 12 is the same as Figure 3 except tnat the near ends of the conductors 1 and
2 are connected to each other through a voltage-limiting device 36, e.g. a Zener diode.
Figures 13 to 17 are circuits in which two conductive polymer PTC heaters are connected
to a two phase power source to form circuits of the invention;
Figures 18 to 21, 30 and 31 are circuits in which three conductive polymer PTC heaters
are connected to a three phase power source to form circuits of the invention;
Figures 22 to 28 are cross-sections through composite devices suitable for use in
Figures 13 to 21; and.
Figure 29 is a diagrammatic view of a test circuit used in the Examples.
[0007] For brevity and clarity in describing the present invention, the term "elongate parallel
device" is used in this specification to denote an elongate electrical device which
comprises
(a) a first elongate electrical connection means;
(b) a second elongate electrical connection means; and
(c) a plurality of electrical elements which are connected in parallel with each other
between the first and second connection means.
[0008] The electrical circuits of the present invention comprise
(1) an elongate parallel device; and
(2) a power source which is connected to the near end of the first connection means
of the device (1) and to the far end of the second connection means of the device
(1).
[0009] As indicated above, a wide variety of third electrical connection means can be used
to connect the power source to the far end of the second connection means. The third
connection means can be physically separate from, or physically secured to (but electrically
insulated from) the elongate parallel device. When it is physically secured to the
elongate parallel device, many of the resulting composite devices are novel per se,
i.e. whether or not the far ends of the second and third connection means are connected
to each other and whether or not the device is connected to a power source. Such novel
devices form part of the present invention. Thus, the composite devices of the present
invention comprise
(1) an elongate parallel device; and
(2) a third elongate electrical connection means which is physically secured to, but
electrically insulated from, the device (I); subject to the provisos that
(A) if (i) the first and second connection means of the device (1) are wire conductors
and the component (c) of the device (1) is a PTC conductive polymer strip in which
the conductors are embedded, (ii) the third electrical connection means is also a
wire conductor, and (iii) the composite device comprises no other elongate electrical
connection means; then the third connection means has a resistance at 25°C, R253 which is
(a) less than 0.2 x

or less than 0.2 x

, or
(b) more than 1.2 x

or more than 1.2 x

, or
(c) more than 1.2 x

where

is the resistance of the first connection means at 25°C,

is the resistance of the second connection means at 25°C, and

is the resistance of the third connection means at 150°C; and
(B) if (i) the first and second connection means of the device (1) are wire conductors
and the component (c) of the device (1) is a PTC conductive polymer strip in which
the conductors are embedded and (ii) the third elongate electrical connection means
is a second elongate electrical device comprising two elongate wire conductors embedded
in a PTC conductive polymer strip, then the first and second devices are physically
secured to each other by a connecting body of electrically insulating material.
[0010] The various electrical connection means will often be simple conductors, which can
be composed of the same or different materials, e.g. round metal wires (which may
be solid or stranded) or flat metal strips, and are sometimes simply referred to herein
as conductors. It is to be understood, however, that any form of electrical connection
means can be used. Generally it is desirable that in the (or each) elongate parallel
device, (a) the first and second conductors are substantially the same as each other;
(b) each of the conductors has substantially the same cross-section throughout the
length of the device; (c) the resistance of the conductors is as low as is consistent
with other factors such as weight, flexibility and cost; and (d) the conductors are
at a constant distance from each other (they may be for example, straight or spiralled).
[0011] As previously noted, a characteristic feature of the present invention is that when
the first and second connection means are the same, the potential drop between them
is similar at the near end of the device as it is at the far end of the device. Theoretically
the potential drop can be the same at Lhe near end and the far end, but in practice,
variations in electrical and/or thermal characteristics along the length of the device
can result in substantial deviations from theory. Nevertheless the balancing of the
potential drop along the length of the device is much better than when the near ends
of the first and second connection means are connected to the power source. This improved
balancing produces particularly valuable results when the device is a heater; in particular
the improved power distribution enables longer circuit lengths to be used. The invention
will, therefore, chiefly be described by reference to heaters. It is to be under stood,
however, that the invention also includes other devices, e.g sensors and fault detection
systems, especially those in which benefits are derived from this balancing of the
potential drop between the conductors at different points along the length of the
device.
[0012] The electrical elements (c), which are connected in parallel with each other between
the first and second connection means, will usually be the same as each other, but
this is not necessary. In one preferred embodiment of the invention, at least some
of the elements (c) comprise a PTC element, which can be composed of a conductive
polymer or a ceramic. The PTC element can itself be the sole heating element; alternatively
it can have a ZTC resistive heating element in series with it. The elements (c) can
be in the form of at least one element composed of a conductive polymer, for example
a continuous strip or web of conductive polymer or a plurality of segments of conductive
polymer. The composition of the conductive polymer element may be the same throughout,
or can vary; thus the conductive polymer element can comprise two or more longitudinally
extending components which have different electrical characteristics. Suitable conductive
polymer elements include
(a) elements which consist essentially of a conductive polymer which exhibits ZTC
behavior; and
(b) elements which comprise a PTC conductive polymer element such that the device
is a self-regulating heater, e.g. an element which consists essentially of a PTC conductive
polymer or an element which comprises a ZTC component element and at least one PTC
component element, for example at least one PTC component element which surrounds
one of the elongate conductors.
[0013] In another preferred embodiment of the invention, the elements(c) are in the form
of one or more heating wires which are connected at intervals to the two conductors,
e.g. as in a conventional zone heater.
[0014] A wide variety of different effects can be obtained by correlating the electrical
characteristics of the elongate parallel device and of the electrical connection means
which connects the power source and the far end of the second electrical connection
means of the elongate parallel device. For example, in the simplest circuits of the
invention, as illustrated for example in Figures 3-5 and 7-8, the third connection
means is a simple conductor, and the electrical character of the circuit depends very
much on the relative resistances of third connection means and the components (a),
(b) and (c) of the elongate parallel device and any change thereof with temperature.
The impedance of the third connection means can be purely resistive or part or all
of the impedance can be inductive or capacitative; for example the third connection
means can be a SECT (skin effect current tracing) heater,
[0015] In one class of circuits, the impedance of the third connection means is substantially
less than, preferably less than 0.5 times, particularly less than 0.2 times, the impedance
of each of the first and second conductors, at least at room temperature and generally
also at higher temperatures, e.g. throughout the range 25 to 200°C, and preferably
at all temperatures likely to be encountered in use of the device.
[0016] In a second class of circuits, the impedance of the third connection means is substantially
the same as e.g. 0.9 to 1.1 times, the impedance of each of the first and second conductors,
at least at room temperature and generally also at higher temperatures, e.g. throughout
the range 25 to 200°C, and preferably also at all temperatures likely to be encountered
in use of the device.
[0017] In a third class of circuits, the impedance of the third connection means is substantially
greater than, preferably more than 1.2 times, especially more than 2 times, e.g. 2
to 20 times, particularly more than 3 times, e.g. 3 to 15 times, the impedance of
each of the first and second conductors, at least at room temperature and generally
also at higher temperatures, e.g. throughout the range 25 to 200°C, and preferably
at all temperatures likely to be encountered in use of the device. In such circuits,
the third connection means functions as a series heater, thus contributing to the
power output of the heater. Under normal (i.e. steady state) operating conditions,
the ratio of the impedance of (and usually but not necessarily the heat generated
by) the third connection means to the impedance (and usually but not necessarily the
heat generated by) the parallel heater may be, for example, from 0.05 to 20, preferably
0.1 to 2.0, particularly 0.1 to 0.5. If the parallel heater is a PTC heater, there
may be some loss of the local self-regulating characteristic of a conventional PTC
heater, because the third connection means continues to generate heat until the whole
of the PTC heater has been converted to the high impedance state. Under the expected
operating conditions of the heater, therefore, the heat output of the PTC heater is
preferably 2 to 15 times the heat output of the third connection means. The use of
a relatively high impedance third connection means also results in a substantially
lower proportion of the applied voltage being dropped over the elements (c) of the
elongate parallel device.
[0018] In a fourth class of circuits, the third connection means has an impedance which
increases with temperature. The increase can be small, as in a conventional resistance
wire heater, e.g. the impedance at 300°C can be 1.2 to 2 times the impedance at 25°C.
Alternatively, the increase can be relatively large, as in an elongate parallel device
as defined in which the components (c) are provided by a PTC conductive polymer strip,
for example the impedance at a temperature below 300°C can be at least 10 times its
impedance at 25°C. .
[0019] In a fifth class of circuits, the third connection means has an impedance which decreases
with temperature, e.g. which at 150°C is less than 0.8 times, preferably less than
0.2 times, its impedance at 25°C. Such a third connection means can control current
inrush without having substantial impedance under normal operating conditions.
[0020] In a sixth class of circuits, a fixed resistance is connected between the near ends
of the first and second connection means of the elongate parallel device, which is
preferably a self-regulating heater. Such a circuit is illustrated in Figure 11. The
resistance is preferably selected so that it is substantially higher than the impedance
of the heater at 25°C and comparable with it (e.g. 0.5 to 5 times) at normal operating
temperatures; in this way, the voltage dropped over the parallel-connected elements
at normal operating conditions is reduced.
[0021] In a seventh class of circuits, a voltage-limiting device, e.g. a Zener diode, is
connected between the near ends of the first and second connection means of the parallel
device, which is preferably a heater. A circuit of this kind is illustrated in Figure
12. The voltage-limiting device ensures that the voltage dropped over the parallel-connected
elements cannot exceed a predetermined value.
[0022] As indicated above, the third elongate connection means can itself be an elongate
parallel device as defined, and the invention includes a number of particularly useful
circuits which comprise a two or three phase power supply and two or three elongate
parallel devices as defined; these devices are preferably the same, but can be different.
Many, but not all, of these circuits comprise a neutral, and when they do, the neutral
is preferably provided by an elongate electrical connection means. However, it is
also possible to use a floating neutral.
[0023] An eighth class of circuits of the invention comprises
(1) a two phase power source;
(2) a first elongate parallel device as defined; and
(3) a second elongate parallel device as defined;
one end of one of the connection means of the first device being connected to the
first phase of the power source; the opposite end of the other connection means of
the first device being connected to one end of one of the connection means of the
second device; and the opposite end of the other connection means of the second device
being connected to the second phase of the power source. Preferably the circuit also
includes a further electrical connection means which connects the neutral of the power
source to the connection between the two devices. Various circuits of this kind are
shown in Figures 13 to 17, in which the neutral connection which is preferably present
is shown as a broken line. Preferred circuits (because they are balanced) are those
in which the near ends of the first connection means of the two elongate parallel
devices are connected to the first and second phases respectively of the power supply
and the far ends of the second connection means of the two devices are connected to
each other and to the neutral of the power supply, as shown in Figure 13 for devices
which are physically located side-by-side and in Figure 16 for devices which are physically
located end-to-end.
[0024] A ninth class of circuits of the invention comprises
(1) a three phase power source;
(2) a first elongate parallel device as defined;
(3) a second elongate parallel device as defined; and
(4) a third elongate parallel device as defined;
one end of one of the connection means of each of the first, second and third devices
being connected to the first, second or third phase of the power source, and the other
ends of the other connection means of each of the devices being connected to a different
phase (delta connection) or to each other (star connection). When the other ends are
connected to each other, there is a neutral point in the circuit and the circuit preferably
includes a further electrical connection means which connects the neutral point and
the neutral of the power source. However, a floating neutral can also be used. Various
circuits of this kind are shown in Figures 18 to 21, 30 and 31, in which the preferred
neutral connection is shown as a broken line. Figure 30 is a particularly preferred,
balanced circuit.
[0025] When the circuits of the eighth and ninth classes comprise an elongate connection
means which carries the circuit current, as in Figures 14 to 17, 20, 21 and 31, then
the impedances of the connection means and of the elongate devices (and their variation,
if any, with temperature) can be correlated in order to obtain desired results, as
generally discussed above.
[0026] In Figures 13 to 21, 30 and 31 the various heaters are shown as conductive polymer
heaters, but the same circuits are very suitable for use with zone heaters and other
elongate parallel heaters.
[0027] When the elongate parallel devices, in the circuits of the eighth and ninth classes,
are physically located side-by-side, they can be separate from each other or physically
secured to each other. The various elongate connection means needed to complete the
different circuits can likewise be separate from the other circuit components or physically
secured to one or more of them.
[0028] Composite devices which can be used in the circuits of the eighth and ninth classes
include those defined in paragraphs (1) and (2) below. Cross-sections of particular
Examples of such devices are shown in Figures 22 to 28, in each of which a tube 41
of insulating polymeric material physically connects at least one PTC conductive polymer
heater (101, 102 and 103) having an insulating polymeric jacket ana at least one wire
conductor (111, 112, 113 and 114) having an insulating polymeric jacket.
(1) Composite devices which comprise at least two elongate parallel devices as defined,
and which can also include one or more elongate connection means. Figures 22, 23 and
24 show devices of this type. The device of Figure 22 is suitable for use in the circuit
of Figure 13; it is to be noted that the neutral connection means 111 in Figure 22
(and likewise in Figures 24, 25, 26 and 27) can be smaller than the conductors in
the heaters themselves. The device of Figure 23 is suitable for use in the circuit
of Figures 14 and 15. The device of Figure 24 is suitable for use in the circuit of
Figure 19.
(2) Composite devices which comprise at least one elongate parallel device as defined
and at least two elongate connection means. Figures 25, 26, 27 and 28 show devices
of this type. The device of Figure 25 is suitable for use in Figure 16, and also in
Figure 17, with the smaller conductor not being used in the part of the circuit furthest
from the power source. The devices of Figures 26 and 27 are suitable for use in Figure
30, and also in Figure 20, with one of the large conductors not being used in the
part furthest form the power source, and also in Figure 31, with the small conductor
not being used in the mid-section and with the small conductor and one of the large
conductors not being used in the section furthest from the power source. The device
of Figure 28 is suitable for use as the middle portion of the circuit of Figure 21.
EXAMPLES
[0029] The invention is illustrated in the following Examples, in which Example 1 is a Comparative
Example. In these Examples the power source was 120 volts AC and the heater was a
self-regulating conductive polymer strip heater available from Raychem Corporation
under the trade designation 10PTV1. The heater comprised a pair of 18 AWG tin-coated
copper stranded wire electrodes embedded in a strip of PTC conductive polymer comprising
carbon black dispersed in radiation cross-linked poly(vinylidene fluoride). The heater
had a passive power of about 9 watts/foot. The heater was cut into sections which
were, successively, 10, 150, 10, 150 and 10 feet long. Resistors of small but precisely
known resistance were used to connect the wire electrodes of the different sections.
In the Examples, the potential drop over each of these resistors was measured and
hence the currents flowing in the different parts of the connection means were calculated.
In Examples 1 and 2, only the first 170 feet of the heater were used (the remainder
being disconnected) and in Example 3 the whole 330 feet of the heater were used. In
Example 1, which is a comparative Example not in accordance with the invention, the
first 170 feet of the heater was connected to the power supply in the conventional
way (as shown in Figure 1). In Examples 2 and 3, the heater was connected to the power
supply in accordance with the invention (as shown in Figure 3), using a third connection
means which was an insulated 18 AWG tin-coated copper stranded wire and which was
secured to the heater as shown in Figure 6. In each of the Examples, the heater and
the third connection means were secured by adhesive tape to a 2 inch diameter steel
pipe having water at about 9°C circulating through it, and were then covered with
1 inch thick thermal insulation. The assembly used in Example 3 is shown diagrammatically
in Figure 29, from which it will be noted that the 10 foot heater section nearest
the power source is designated Section 1, that the 10 foot heater section 160 feet
from Section 1 is designated Section 2, and that the 10 foot heater section furthest
from the power source is designated Section 3. The assembly used in Example 2 was
as shown in Figure 29 except that the third wire was connected to the end of Section
2.
[0030] The results obtained in the Examples are summarized in the Table below, which shows
the Inrush Factor (i.e. the ratio of the current to the steady state current) initially
and after 10, 60 and 120 seconds; the current (in amps) in each bus wire (electrode)
in each of Sections 1, 2 and 3; the voltage drop (in volts) between the bus wires
in each of Sections 1, 2 and 3 and the power generated (in watts/foot) in (a) the
bus wires of the heater (b) the conductive polymer element in the heater, (c) the
third wire in the assembly, and (d) in total, in each of Sections 1, 2 and 3.
[0031] The various figures given in the Table below reflect the fact that the Examples were
made with a view to obtaining a qualitative rather than quantitative assessment of
the benefits of the present invention. No undue reliance should, therefore, be placed
on the precise relationships between the different figures. However, the figures clearly
demonstrate that by connecting the power source to the far end of the heater through
a third connection means, there is obtained a reduction in current inrush, a more
even power distribution along the length of the heater and a reduction in the voltage
dropped across the conductive polymer strip.

1. An electrical circuit which comprises
(1) an elongate electrical device which comprises
(a) a first elongate electrical connection means;
(b) a second elongate electrical connection means; and
(c) a plurality of electrical elements which are connected in parallel with each other
between the first and second electrical connection means;
(2) a third elongate electrical connection means; and
(3) a source of electrical power which (a) is connected to the one end of the first
connection means and (b) is connected to the opposite end of the second connection
means by the third connection means.
2. A circuit according to Claim 1 wherein said device is a heater, preferably a self-regulating
heater.
3. A circuit according to claim 1 or 2 wherein at 25°C the impedance of the third
connection means is less than 0.5 times the impedance of the first connection means
and less than 0.5 times the impedance of the second connection means.
4. A circuit according to claim 1 or 2 wherein at all temperatures in the range 25°
to 200°C, the impedance of the third connection means is 0.9 to 1.1 times the impedance
of the first connection means and 0.9 to 1.1 times the impedance of the second connection
means.
5. A circuit according to claim 2 wherein said device is a self-regulating heater
and under the normal steady state operating conditions of the circuit, the ratio of
the heat generated by the third connection means to the heat generated by the device
is from 2 to 15.
6. A circuit according to any one of claims 1, 2 and 5 wherein the impedance of the
third connection means at 150°C is less than 0.2 times its impedance at 25°C.
7 . A circuit according to claim 2 wherein the power source is a two-phase AC power
source, the device is a first heater, and the third connection means comprises a second
elongate electrical heater comprising
(a) a first elongate electrical connection means;
(b) a second elongate electrical connection means; and
(c) a plurality of electrical elements which are connected in parallel with each other
between the first and second electrical connection-means;
one end of one of the connection means of the first heater being connected to the
first phase of the power source; the opposite end of the other connection means of
the first heater being connected to one end of one of the connection means of the
second heater; and the opposite end of the other connection means of the second heater
being connected to the second phase of the power source.
8. An electrical circuit according to Claim 2 wherein the power source is a three
phase power source, the device is a first heater, and the third connection means comprises
a second elongate electrical heater which comprises
(a) a first elongate electrical connection means;
(b) a second elongate electrical connection means; and
(c) a plurality of electrical elements which are connected in parallel with each other
between the first and second electrical connection means;
and which further comprises (4) a third elongate electrical heater which comprises
(a) a first elongate electrical connection means;
(b) a second elongate electrical connection means; and
(c) a plurality of electrical elements which are connected in parallel with each other
between the first and second electrical connection means;
one end of one of the connection means of each of the first, second and third heaters
being connected to the first, second or third phase of the power source, and the other
ends of the other connection means of each of the heaters being connected to a different
phase or to each other.
9. A circuit according to claim 8 wherein the near end of the first connection means
of the first heater is connected to the first phase of the power source, the near
end of the first connection means of the second heater is connected to the second
phase of the power source, the near end of the first connection means of the third
heater is connected to the third phase of the power source, and the far ends of the
second connection means of the first, second and third heaters are connected to each
other and preferably are also connected to the neutral of the power source.
10. A circuit according to claim 8 wherein the near end of the first connection means
of the first heater is connected to the first phase of the power source, the near
end of the first connection means of the second heater is connected to the second
phase of the power source, the near end of the first connection means of the third
heater is connected to the third phase of the power source, the far end of the second
connection means of the first heater is connected to the second phase of the power
source, the far end of the second connection means of the second heater is connected
to the third phase of the power source, and the far end of the second connection means
of the third heater is connected to the first phase of the power source.
11. A composite device suitable for use in a circuit as claimed in any one. of claims
1 to 10 which comprises
(1) an elongate electrical device comprising
(a) a first elongate electrical connection means;
(b) a second elongate electrical connection means; and
(c) a plurality of electrical elements which are connected in parallel with each other
between the first and second electrical connection means; and
(2) a third elongate electrical connection means which is physically secured to but
electrically insulated from the device(l);
subject to the provisos that
(A) if (i) the first and second connection means of the device (l) are wire conductors
and the component (c) of the device (l) is a PTC conductive polymer strip in which
the conductors are.embedded, (ii) the third electrical connection means is also a
wire conductor, and (iii) the composite device comprises no other elongate electrical
connection means; then the third connection means has a resistance at 25°C,

, which is
(a) less than 0.2 x

or less than 0.2 x

, or
(b) more than 1.2 x

or more than 1.2 x

, or
(c) more than 1.2 x

;
where

is the resistance of the first connection means at 25°C,

is the resistance of the second connection means at 25°C, and

is the resistance of the third connection means at 150°C; and
(B) if (i) the first and second connection means of the device (1) are wire conductors
and the component (c) of the device (1) is a PTC conductive polymer strip in which
the conductors are embedded and (ii) the third elongate electrical connection means
is a second elongate electrical device comprising two elongate wire conductors embedded
in a PTC conductive polymer strip, then the first and second devices are physically
secured to each other by a connecting body of electrically insulating material.
12. A composite device according to Claim II which further comprises
(3) a fourth elongate electrical connection means; and
(4) a connecting body of insulating material which physically secures the device (I).
and the connection means (2) and (3) to each other.