Parallel Connected HTS FCL Device

Cross-Reference to Related Appllcatlon(s)

[0001] This application claims priority to: U.S. Continuation-in-Part Patent Application Serial No.: 11/688,809, filed on 20 March 2007, which claims priority to U.S. Continuation- in-Part Patent Application No.: 11/688,817, filed on 20 March 2007, which claims priority to U.S. Continuation-in-Part Patent Application No.: 11/688,827, filed on 20 March 2007, which claims priority to U.S. Patent Application Serial No. 11/673,281, filed on 09 February 2007, the entire contents of which are herein incorporated by reference.

Technical Field

[0002] This disclosure relates to HTS devices and, more particularly, to HTS devices configured to operate as fault current limiting devices.

Background

[0003] As worldwide electric power demands continue to increase significantly, utilities have struggled to meet these increasing demands both from a power generation standpoint as well as from a power delivery standpoint. Delivery of power to users via transmission and distribution networks remains a significant challenge to utilities due to the limited capacity of the existing installed transmission and distribution infrastructure, as well as the limited space available to add additional conventional transmission and distribution lines and cables. This is particularly pertinent in congested urban and metropolitan areas, where there is very limited existing space available to expand capacity.

[0004] Flexible, long-length power cables using high temperature superconductor (HTS) wire are being developed to increase the power capacity in utility power transmission and distribution networks, while maintaining a relatively small footprint for easier installation and using environmentally clean liquid nitrogen for cooling. For this disclosure, HTS material is defined as a superconductor with a critical temperature at or above 30 K (minus 243° Centigrade), which includes materials such as yttrium- or rare-earth-barium-copper-oxide

(herein called YBCO); thallium-barium-calcium-copper-oxide; bismuth-strontium-calcium- copper-oxide (herein called BSCCO); mercury-barium-calcium-copper-oxide; and magnesium diboride (MgB ₂ ). YBCO has a critical temperature approximately 90 K. BSCCO has a critical temperature of approximately 90 K in one composition and approximately 110 K in a second composition. MgB ₂ has a critical temperature of up to approximately 40 K. These composition families are understood to include possible substitutions, additions and impurities, as long as these substitutions, additions and impurities do not reduce the critical temperature below 30° K. Such HTS cables allow for increased amounts of power to be economically and reliably provided within congested areas of a utility power network, thus relieving congestion and allowing utilities to address their problems of transmission and distribution capacity.

[0005] An HTS power cable uses HTS wire as the primary conductor of the cable (i.e., instead of traditional copper conductors) for the transmission and distribution of electricity. The design of HTS cables results in significantly lower series impedance, in their superconducting state, when compared to conventional overhead lines and underground cables. Here the series impedance of a cable or line refers to the combination of resistive impedance of the conductors carrying the power, and the reactive (inductive) impedance associated with the cable architecture or overhead line. For the same cross-sectional area of the cable, HTS wire enables a three to five times increase in current-carrying capacity when compared to conventional alternating current (AC) cables; and up to a ten times increase in current-carrying capacity when compared to conventional direct current (DC) cables.

[0006] HTS cables can be designed with HTS wires helically wound around a continuously flexible corrugated former, or they can have multiple HTS wires in a variety of stacked and twisted configurations. In all of these cases, the cable can be continuously flexible, so that it can be wound conveniently on a drum for transportation and installed with bends and turns in a conduit or between other power devices. HTS cables may be designed with a liquid cryogen in contact with the HTS wires and flowing along the length of the cable. Liquid nitrogen is the most common liquid cryogen, but liquid hydrogen or liquid neon could be used for lower temperature superconducting materials like magnesium

diboride.

[0007] In addition to capacity problems, another significant problem for utilities resulting from increasing power demand (and hence increased levels of power being generated and transferred through the transmission and distribution networks) are increased "fault currents" resulting from "faults". Faults may result from network device failures, acts of nature (e.g. lightning), acts of man (e.g. an auto accident breaking a power pole), or any other network problem causing a short circuit to ground or from one phase of the utility network to another phase. In general, such a fault appears as an extremely large load materializing instantly on the utility network. In response to the appearance of this load, the network attempts to deliver a large amount of current to the load (i.e., the fault). Any given link in the network of a power grid is characterized by a maximum fault current that may flow, in the absence of fault current limiting measures, during the short circuit that precipitates the maximum fault condition. The fault currents can be so large in large power grids that without fault current limiting measures, most electrical equipment in the grid may be damaged or destroyed. The conventional way of protecting against fault currents is to rapidly open circuit breakers and completely stop the current and power flow.

[0008] Detector circuits associated with circuit breakers monitor the network to detect the presence of a fault (or over-current) situation. Within a few milliseconds of detection, activation signals from the detector circuits may initiate the opening of circuit breakers to prevent destruction of various network components. Currently, the maximum capability of existing circuit breaker devices is approximately 80,000 amps, and these are for transmission level voltages only. Many sections of the utility network built over the previous century were built with network devices capable of withstanding only 40,000-63,000 amps of fault current. Unfortunately, with increased levels of power generation and transmission on utility networks, fault current levels are increasing to the point where they will exceed the capabilities of presently installed or state-of-the-art circuit breaker devices (i.e. be greater than 80,000 amps) both at distribution and transmission level voltages. Even at lower fault current levels, the costs of upgrading circuit breakers from a lower level to a higher level across an entire grid can be very high. In most cases, it is desirable to reduce fault currents

by at least 10% to make a meaningful improvement in the operation of a grid. Accordingly, utilities are looking for new solutions to deal with the increasing level of fault currents. One such solution in development is a device called an HTS fault current limiter (FCL).

[0009] An HTS FCL is a dedicated device interconnected to a utility network that reduces the amplitude of the fault currents to levels that conventional, readily available or already installed circuit breakers may handle. See High-Temperature Superconductor Fault Current Limiters by Noe and M. Steurer, Supercond. Sci. Technol. 20 (2007) R15-R29. Such HTS FCLs typically have been configured out of short rigid modules made of solid bars or cylinders of HTS material, which may have very high resistance when they are driven over their superconducting critical current into a resistive state. Unfortunately, such standalone HTS FCLs are currently quite large and expensive. Space is particularly at a premium in substations in dense urban environments where HTS cables are most needed. Utilities may also use large inductors, but they may cause extra losses, voltage regulation and grid stability problems. And, unfortunately, pyrotechnic current limiters (e.g., fuses) need replacement after every fault event. Further, while new power electronic FCLs are under development, there are questions about whether they can be fail-safe and whether they can be extended reliably to transmission voltage levels.

[0010] To allow HTS cables to survive the flow of fault currents, a significant amount of copper may be introduced in conjunction with the HTS wire, but this adds to the weight and size of the cable. See Development and Demonstration of a Long Length HTS Cable to Operate in the Long Island Power Authority Transmission Grid by J. F. Maguire, F. Schmidt, S. Bratt, T. E. Welsh, J. Yuan, A. Allais, and F. Hamber, to be published in IEEE Transaction on Applied Superconductivity. Often, copper fills the central former in the core of the HTS cable around which the HTS wire is helically wound, and this prevents the core from being used as a passage for the flow of liquid nitrogen. Alternatively and especially for multi-phase cables, copper wires may be mixed in with the HTS wires within the helically wound layers of the cable. These copper wires or structures may be electrically in parallel with the HTS wires and may be called "copper shunts" within the HTS cable. In the presence of a large fault current that exceeds the critical current of the HTS wires of the cable, they

quench or switch to a resistive state than can heat from resistive I ² R losses (where I is the current and R is the resistance of the cable). The "copper shunts" may be designed to absorb and carry the fault current to prevent the HTS wires from over-heating. The amount of copper is so large that its total resistance in the cable is comparatively small and, therefore, has a negligible effect in reducing the level of the fault current. Copper may be defined to mean pure copper or copper with a small amount of impurities such that its resistivity is comparatively low in the 77-90 K temperature range (e.g., <0.5 microOhm-cm, or as low as 0.2 microθhm-cm.

[0011] In the European SUPERPOLI program (See SUPERPOLI Fault-Current Limiters Based on YBCO-Coated Stainless Steel Tapes by A. Usoskin et al., IEEE Trans, on Applied Superconductivity, Vol. 13, No. 2, June 2003, pp. 1972-5; Design Performance of a Superconducting Power Link by Paasi et al., IEEE Trans, on Applied Superconductivity, Vol. 11, No. 1 , March 2001, pp. 1928-31; HTS Materials of AC Current Transport and Fault Current Limitation by Verhaege et al., IEEE Trans, on Applied Superconductivity, Vol. 11, No. 1, March 2001, pp. 2503-6; and U.S. Patent No., 5,859,386, entitled "Superconductive Electrical Transmission Line"), superconducting power links were investigated that may also limit current.

[0012] Following the typical approach for earlier standalone FCLs, this program investigated rigid solid rods or cylinders of HTS material which formed modules or busbars for the power link. A typical length of a module or busbar was 50 cm to 2 meters. In a second approach, coated conductor wire was used in which YBCO material was coated on high resistance stainless steel substrates. A gold stabilizer layer was used, but it was kept very thin to keep the resistance per length as high as possible. The wire was helically wound on a rigid cylindrical core which formed another option for a module or busbar for the power link.. In response to a fault current, both these modules switch to a very highly resistive state to limit the current. The concept proposed in the SUPERPOLI program to create a longer length cable was to interconnect the rigid modules with flexible braided copper interconnections. See U.S. Patent No., 5,859,386, entitled "Superconductive Electrical Transmission Line". The possibility of designing and fabricating a long-length continuously

flexible cable with fault-current-limiting functionality using lower resistance and higher heat capacity wires, and hence a lower level of local heating, was not considered. Nor was the possibility of additional grid elements that could optimize the functionality of the link.

[0013] It is desirable to improve the manner in which HTS cables handle fault currents and to provide an improved alternative to the use of standalone FCLs or other fault current limiting devices e.g., high resistance-per-length fault-current limiting modules forming power links. A practical long-length continuously flexible HTS power cable that incorporates fault current limiting functionality would provide major benefits in establishing high capacity, low footprint and environmentally clean power transmission and distribution, while at the same time avoiding the necessity for separate and costly fault-current-limiting devices in crowded utility substations.

Summary of Disclosure

[0014] In a first implementation of this disclosure, a superconducting electrical cable system is configured to be included within a utility power grid having a known fault current level. The superconducting electrical cable system includes a non-superconducting electrical path interconnected between a first node and a second node of the utility power grid. A superconducting electrical path is interconnected between the first node and the second node of the utility power grid. The superconducting electrical path and the non-superconducting electrical path are electrically connected in parallel, and the superconducting electrical path has a lower series impedance than the non- superconducting electrical path when the superconducting electrical path is operated below a critical current level and a critical temperature. The superconducting electrical path is configured to have a series impedance that is at least N times the series impedance of the non-superconducting electrical path when the superconducting electrical path is operated at or above one or more of the critical current level and the superconductor critical temperature. N is greater than 1 and is selected to attenuate, in conjunction with an impedance of the non- superconducting electrical path, the known fault current level by at least 10%.

[0015] One or more of the following features may be included. The non- superconducting

electrical path may be may be maintained at a non-cryogenic temperature. The non- cryogenic temperature may be at least 273 K. The superconducting electrical path may be included within a cable assembly and the non-superconducting electrical path may be external of the cable assembly. An impedance adjustment device may adjust the impedance of the non- superconducting electrical path. The impedance adjustment device may include a reactor assembly.

[0016] A fast switch may be electrically coupled in series with the superconducting electrical path. The superconducting electrical path may include a first superconducting cable portion and at least a second superconducting cable portion. The first superconducting cable portion may include a first HTS superconducting material. The at least a second superconducting cable portion may include a second HTS superconducting material. The first HTS superconducting material may include a YBCO material. The second HTS superconducting material may include a BSCCO material.

[0017] N may be greater than or equal to 3. N may be greater than or equal to 5. The non-superconducting electrical path may include at least one non-superconducting electrical cable. The non- superconducting electrical path may include at least one non- superconducting electrical overhead line. The superconducting electrical path may include one or more of: one or more superconducting electrical cables; and one or more fast switch assemblies. The non-superconducting electrical path may include at least one of: one or more non- superconducting electrical cables, one or more buses, one or more substations, and one or more reactor assemblies.

[0018] The at least one superconducting electrical cable may include a centrally-located axial coolant passage configured to allow for axial distribution of a refrigerant through the centrally-located axial coolant passage. The superconducting electrical path may include a plurality of electrically conducting components, each of which has a resistivity in the 90 K temperature range of greater than 0.8 microOhm-cm.

[0019] The at least one superconducting electrical cable may include one or more HTS wires. At least one of the HTS wires may be constructed of a material chosen from the group consisting of: yttrium- or rare-earth-barium-copper-oxide; thallium-barium-calcium-copper-

oxide; bismuth-strontium-calcium-copper-oxide; mercury-barium-calcium-copper-oxide; and magnesium diboride.

[0020] At least one of the HTS wires may include an encapsulant. At least one of the one or more HTS wires may include one or more stabilizer layers having a total thickness within a range of 200-600 microns and a resistivity within a range of 0.8-15.0 microOhm-cm at 90 K.

[0021] The stabilizer layer may be constructed, at least in part, of a brass material. At least one of the one or more HTS wires may include one or more stabilizer layers having a total thickness within a range of 200-1000 microns and a resistivity within a range of 1-10 microθhm-cm at 90 K. At least one of the one or more HTS wires may be configured to operate in a superconducting mode below a critical current level. At least one of the one or more HTS wires may be configured to operate in a non-superconducting mode at or above the critical current level.

[0022] In another implementation of this disclosure, a superconducting electrical cable system is configured to be included within a utility power grid having a known fault current level. The superconducting electrical cable system includes a non-cryogenic, non- superconducting electrical path interconnected between a first node and a second node of the utility power grid. A superconducting electrical path is interconnected between the first node and the second node of the utility power grid. The superconducting electrical path and the non-superconducting electrical path are electrically connected in parallel. The superconducting electrical path has a lower series impedance than the non- superconducting electrical path when the superconducting electrical path is operated below a critical current level. The superconducting electrical path is configured to have a series impedance that is at least N times the series impedance of the non- superconducting electrical path when the superconducting electrical path is operated at or above the critical current level. N is greater than 1.

[0023] One or more of the following features may be included. The non-cryogenic, non- superconducting electrical path may be maintained at a non-cryogenic temperature of at least 273 K. The superconducting electrical path may be included within a cable assembly and the

non-cryogenic, non-superconducting electrical path may be external of the cable assembly. An impedance adjustment device may adjust the impedance of the non-cryogenic, non- superconducting electrical path. The impedance adjustment device may include a reactor assembly.

[0024] The superconducting electrical path may include a first superconducting cable portion and at least a second superconducting cable portion. The first superconducting cable portion may include a first HTS superconducting material and the at least a second superconducting cable portion may include a second HTS superconducting material. The first HTS superconducting material may include a YBCO material and the second HTS superconducting material may include a BSCCO material. N may be greater than or equal to 3. N may be greater than or equal to 5.

[0025] The details of one or more implementations are set forth in the accompanying drawings and the description below. Other features and advantages will become apparent from the description, the drawings, and the claims.

Brief Description of the Drawings

FIG. 1 is a schematic diagram of a copper-cored HTS cable installed within a utility power grid;

FIG. 2 is an isometric view of the copper-cored HTS cable of FIG. 1 ;

FIG. 3 is an isometric view of a hollow-core HTS cable;

FIG. 4 is a schematic diagram of the hollow-core HTS cable of FIG. 3 installed within a utility power grid;

FIG. 5 is a schematic diagram of a utility power grid;

FIG. 6 is a model of a superconducting / conventional cable pair;

FIG. 7A is a cross-sectional view of an HTS wire;

FIG. 7B is a cross-sectional view of an alternative embodiment HTS wire;

FIG. 8 is a model of the HTS wire of FIG. 7;

FIG. 9 is an alternative model of the superconducting / conventional cable pair of FIG. 6;

FIG. 10 is a model of the superconducting / conventional cable pair of FIG. 9 during superconducting mode;

FIG. 11 is a model of the superconducting / conventional cable pair of FIG. 9 during non-superconducting mode; and

FIG. 12 is a schematic diagram of an alternative embodiment of the hollow-core HTS cable of FIG. 3 installed within a utility power grid.

Like reference symbols in the various drawings indicate like elements.

Detailed Description Of Exemplary Embodiments

Overview

[0026] Referring to FIG. 1, a portion of a utility power grid 10 may include a high temperature superconductor (HTS) cable 12. HTS cable 12 may be hundreds or thousands of meters in length and may provide a relatively high current / low resistance electrical path for the delivery of electrical power from generation stations (not shown) or imported from remote utilities (not shown).

[0027] The cross-sectional area of HTS cable 12 may be only a fraction of the cross- sectional area of a conventional copper core cable and may be capable of carrying the same amount of electrical current. As discussed above, within the same cross-sectional area, an HTS cable may provide three to five times the current-carrying capacity of a conventional AC cable; and up to ten times the current-carrying capacity of a conventional DC cable. As HTS technology matures, these ratios may increase.

[0028] As will be discussed below in greater detail, HTS cable 12 may include HTS wire, which may be capable of handling as much as one-hundred-fifty times the electrical current of similarly-sized copper wire. Accordingly, by using a relatively small quantity of HTS wire (as opposed to a large quantity of copper conductors stranded within the core of a conventional AC cable), an HTS power cable may be constructed that is capable of providing three to five times as much electrical power as an equivalently-sized conventional copper- conductor power cable.

[0029] HTS cable 12 may be connected within a transmission grid segment 14 that

carries voltages at a level of e.g., 138 kV and extends from grid segment 14 to grid segment 16, which receives this voltage and transforms it to a lower level of e.g., 69kV. For example, transmission grid segment 14 may receive power at 765kV (via overhead line or cable 18) and may include a 138 kV substation 20. 138 kV substation 20 may include a 765kV / 138kV transformer (not shown) for stepping down the 765kV power received on cable 18 to 138kV. This "stepped-down" 138kV power may then be provided via e.g., HTS cable 12 to transmission grid segment 16. Transmission grid segment 16 may include 69 kV substation 24, which may include a 138kV / 69kV transformer (not shown) for stepping down the 138kV power received via HTS cable 12 to 69kV power, which may be distributed to e.g., devices 26, 28, 30, 32. Examples of devices 26, 28, 30, 32 may include, but are not limited to 34.5kV substations.

[0030] The voltage levels discussed above are for illustrative purposes only and are not intended to be a limitation of this disclosure. Accordingly, this disclosure is equally applicable to various voltage and current levels in both transmission and distribution systems. Likewise, this disclosure is equally applicable to non-utility applications such as industrial power distribution or vehicle power distribution (e.g. ships, trains, aircraft, and spacecraft).

[0031] One or more circuit breakers 34, 36 may be connected on e.g., each end of HTS cable 12 and may allow HTS cable 12 to be quickly disconnected from utility power grid 10. Fault management system 38 may provide over-current protection for HTS cable 12 to ensure that HTS cable 12 is maintained at a temperature that is below the point at which HTS cable 12 may be damaged.

[0032] Fault management system 38 may provide such over-current protection by monitoring the current flowing in the segment of the utility grid to which HTS cable 12 is coupled. For example, fault management system 38 may sense the current passing through 138kV substation 20 (using e.g., current sensor 40) and may control the operation of breakers 34, 36 based, at least in part, on the signal provided by current sensor 40.

[0033] In this example, HTS cable 12 may be designed to withstand a fault current as high as 51 kA with a duration of 200 ms (i.e., 12 cycles of 60 Hz power). The details of fault management system 38 are described in co-pending U.S. Patent Application Serial No.

11/459,167, which was filed on 21 July 2006, and is entitled Fault Management of HTS Power Cable. Typically, this requires the HTS cable to contain a significant amount of copper, which helps to carry the high fault current and thus protects the HTS wires. The copper is present to protect the HTS cable, but it has no significant current limiting effect because of its very low resistance.

[0034] Referring also to FIG. 2, there is shown a typical embodiment of a single-phase copper-cored HTS cable 12 that may include stranded copper core 100 surrounded in radial succession by first HTS layer 102, second HTS layer 104, high voltage dielectric insulation layer 106, copper shield layer 108, HTS shield layer 110, coolant passage 112, inner cryostat wall 114, thermal insulation 116, vacuum space 118, outer cryostat wall 120 and an outer cable sheath 122. Copper shield layer 108 may alternatively be positioned on the outside of HTS shield layer 110. HTS layer 102 and HTS layer 104 may also be referred to as "phase conductors". During operation, a refrigerant (e.g., liquid nitrogen, not shown) may be supplied from an external coolant source (not shown) and may be circulated within and along the length of coolant passage 112. All components of the cable are designed so as to enable flexibility of HTS cable 12. For example, stranded copper core 100 (upon which first HTS layer 102 and second HTS layer 104 are wound) is flexible. Accordingly, by utilizing flexible stranded copper core 100, an HTS cable 12 is realized that is continuously flexible along its length. Optionally, a corrugated metal former may be used to support the helically wound HTS wires, providing continuous flexibility along the length of the cable.

[0035] Additionally / alternatively, additional coaxial HTS layers and insulation layers may be utilized. For example, more than two layers of HTS wires may be used for a single phase. Also, three groups of HTS layers separated by insulation layers (not shown) may be utilized to carry three-phase power. An example of such a cable arrangement is the Triax HTS Cable arrangement proposed by Ultera (i.e., a joint venture of Southwire Company of Carrollton, GA. and nkt cables of Cologne, Germany). Other embodiments of HTS cable 12 may include, but are not limited to: warm and/or cold dielectric configurations; single-phase vs. three-phase configurations; and various different shielding configurations (e.g., no shield and cryostat-based shielding).

[0036] Copper core 100 and copper shield layer 108 may be configured to carry fault currents (e.g., fault current 124) that may appear within cable 12. For example, when fault current 124 appears within cable 12, the current within HTS layers 102, 104 may dramatically increase to a level that exceeds the critical current level (i.e., I _c ) of HTS layers 102, 104, which may cause HTS layers 102, 104 to lose their superconducting characteristics (i.e., HTS layers 102, 104 may go "normal"). A typical value for critical current level I _c is 4242 A peak for a cable rated at 3000 A _rms , (where A _rms refers to root-mean- square Amperes of current).

[0037] The critical current level in HTS materials may depend upon the choice of electric field level. Conventionally, critical current level I _c is defined as an electric field level of 1 microvolt / cm, though lower values are also used. However, typically superconductors exhibit a transition region between the zero-resistance (i.e., superconducting) and fully- resistive (i.e., non- superconducting) states as a function of current level. Wire losses resulting from operation in this transition region are below those of the fully-resistive state. Therefore, portions of the wires in HTS cable 12 may switch to the fully resistive state at a critical current level I _c that is a factor ("/') times the conventional critical current level I _c defined by the 1 microvolt / cm criterion. In meander line wires with YBCO thin films, this factor ("/') was determined to be 2, but it was observed to vary somewhat with time. See Switching Behavior of YBCO Thin Film Conductors in Resistive Fault Current Limiters by H. -P. Kraemer et al., IEEE Trans, on Applied Superconductivity, vol. 13, No. 2, June 2003, pp. 2044-7. The /-factor for HTS wires with similar YBCO thin films is anticipated to be in the same range, the range being estimated to be 1-4.

[0038] Accordingly, when the product of the critical current level (as defined above) and the /-factor is exceeded, the resistance of HTS layers 102, 104 may increase significantly and may become comparatively very high (i.e., when compared to copper core 100). As the current passing through a plurality of parallel wires is distributed inversely with respect to the resistance of the individual wires, the majority of fault current 124 may be diverted to copper core 100, which is connected in parallel with HTS layers 102, 104. This transmission of fault current 124 through copper core 100 may continue until: fault current 124 subsides; or the

appropriate circuit breakers (e.g., circuit breakers 34, 36) interrupt the transmission of fault current 124 through HTS cable 12.

[0039] Overheating of the HTS wires in HTS cable 12 may be avoided by two benefits provided by the copper core 100. First, by redirecting fault current 124 (or at least a portion thereof) from HTS layers 102, 104 to copper core 100, the overheating of the HTS wires in HTS cable 12 may be avoided. And second the added heat capacity of copper core 100 reduces the temperature rise in HTS layers 102 and 104. In the event that fault current 124 (or at least a portion thereof) was not redirected from HTS layers 102, 104 to copper core 100, fault current 124 may heat the HTS wires in HTS cable 12 significantly due to the high resistance of HTS layers 102, 104, which may result in the formation of gaseous "bubbles" of liquid nitrogen (i.e., due to liquid nitrogen being converted from a liquid state to a gaseous state within coolant passage 112). Unfortunately, the formation of gaseous "bubbles" of liquid nitrogen may reduce the dielectric strength of the dielectric layer and may result in voltage breakdown and the destruction of HTS cable 12. For warm dielectric cable configurations (not shown), fault current not redirected away from HTS layers 102, 104 may simply overheat and destroy HTS layers 102, 104.

[0040] Examples of HTS cable 12 may include but are not limited to HTS cables available from Nexans of Paris France; Sumitomo Electric Industries, Ltd., of Osaka, Japan; and Ultera (i.e., a joint venture of Southwire Company of Carrollton, GA. and nkt cables of Cologne, Germany).

[0041] While copper core 100 redirects fault currents (or portions thereof) around HTS layers 102, 104, there are disadvantages to utilizing such an "internal" copper core. For example, copper core 100 may require HTS cable 12 to be physically larger and heavier, which may result in increased cost and greater heat retention within HTS cable 12. Accordingly, more refrigeration may be required to compensate for the additional heat retention, resulting in higher overall system and operating costs. Moreover, the increased heat capacity of copper core 100 and the thermal resistance between HTS layers 102, 104 and the coolant due to the dielectric layer may greatly increase recovery times should the energy of a fault current increase the temperature beyond the point where superconductivity can be

maintained in HTS layers 102, 104. For example, in the event that a fault current is redirected through copper core 100, it may take several hours for the refrigeration system (not shown) to cool down HTS cable 12 to within the appropriate operating temperature range (e.g., 65-77 K). The time required to cool down HTS cable 12 to within the operating range of the cable is commonly referred to as the "recovery time", which may be required by utilities to be a few seconds (or less) for transmission devices or a few tenths of a second (or less) for distribution devices. Alternatively, a standalone fault current limiter may be used with HTS cable 12 to limit fault currents; however this has the disadvantage of requiring another large and costly piece of electrical equipment to be installed in the substation linked to HTS cable 12.

[0042] Referring to FIG. 3, there is shown a flexible, hollow-core HTS cable 150, according to this disclosure. While HTS cable 150 may include various components of prior art copper-cored HTS cable 12, HTS cable 150 does not include stranded copper core 100 (FIG. 2), which was replaced with a flexible hollow core (e.g., inner coolant passage 152). An example of inner coolant passage 152 may include, but is not limited to, a flexible, corrugated stainless steel tube. All copper shield layers are removed as well. A refrigerant (e.g., liquid nitrogen) may flow through inner coolant passage 152.

[0043] In a fashion similar to that of copper-cored HTS cable 12, inner coolant passage 152 may be surrounded in radial succession by first HTS layer 102, second HTS layer 104 (usually helically wound with the opposite helicity of layer 102), high voltage dielectric insulation layers 106, support structure 108, HTS shield layer 110, coolant passage 112, inner cryostat wall 114, thermal insulation 116, vacuum space 118, outer cryostat wall 120 and an outer cable sheath 122. During operation, a refrigerant (e.g., liquid nitrogen, not shown) may be supplied from an external coolant source (not shown) and may be circulated within and along the length of coolant passage 114 and inner coolant passage 152. An alternative coolant (e.g., liquid neon or liquid hydrogen) may be used in the case of lower transition temperature materials like MgB ₂ .

[0044] As with HTS cable 12, all components of HTS cable 150 are designed so as to enable flexibility continuously along the length of the cable. For example and as discussed

above, inner coolant passage 152 (upon which first HTS layer 102 and second HTS layer 104 are wound) is flexible. Accordingly, by utilizing flexible inner coolant passage 152, a flexible HTS cable 150 is realized.

[0045] Referring also to FIG. 4, utility power grid portion 10' may include flexible long- length cable 150. Here long-length is defined as greater than 200 m. It may also include a conventional (i.e. non-superconducting cable) 200, connected in parallel with HTS cable 150. An example of conventional cable 200 may include but is not limited to a 500kcmil, 138kV Shielded Triple Permashield (TPS) power cable available from The Kerite Company of Seymour, CT. Conventional cable 200 may be an existing cable in a retrofit application where HTS cable 150 is being added to replace one or more conventional cables to e.g., increase the power capacity of an electrical grid. Alternatively, conventional cable 200 may be a new conventional cable that is installed concurrently with HTS cable 150 and interconnected with appropriate bus work and circuit breakers.

[0046] HTS cable 150 and/or additional HTS cables (not shown) may be included within superconducting electrical path 202, which may include a portion of a power utility grid. Further, superconducting electrical path 202 may include other superconducting power distribution devices, such as buses (not shown), transformers (not shown), fault current limiters (not shown), and substations (not shown).

[0047] A fast switch assembly 202 may be coupled in series with HTS cable 150. An example of fast switch assembly 202 is a 138kV Type PM Power Circuit Breaker manufactured by ABB Inc. of Greensburg, PA. Fast switch assembly 202 (e.g., a switch capable of opening in 4 cycles) may be controllable by fault management system 38. For example, upon sensing fault current 124 (FIG. 3), fault management system 38 may open fast switch assembly 202, resulting in HTS cable 150 being essentially isolated from fault current 124. For multiphase power, a plurality of fast switch assemblies 202 may be utilized. Alternatively, some fast switch assemblies or circuit breakers are built as a single three-phase device. Fast switch assembly 202 may be reclosed after a time sufficient to allow HTS cable 150 to recover to its superconducting state. If existing utility circuit breakers 34, 36 switch quickly enough to meet the heating requirements discussed below, fast switch assembly 202

may not be required.

[0048] Conventional cable 200 and/or additional conventional cables (not shown) may be included within non-superconducting electrical path 204, which may include a portion of a power utility grid. Further, non- superconducting electrical path 204 may include other power distribution devices, such as buses (not shown), transformers (not shown), fault current limiters (not shown), and substations (not shown). Non- superconducting electrical path 204 may be maintained at a non-cryogenic temperature (e.g., a temperature of at least 273 K, which corresponds to 0° C). For example, non- superconducting electrical path 204 may not be cooled and, therefore, may assume ambient temperature.

[0049] As will be discussed below in greater detail, by removing copper core 100 (FIG. 2) and copper shield layer 108 (FIG 2) from the inside of long-length flexible HTS cable 150 and utilizing an external (i.e., with respect to HTS cable 150) parallel-connected conventional cable 200 to carry e.g., fault current 124, HTS cable 150 may be physically smaller, which may result in decreased fabrication cost and lower heat loss from HTS cable 150. Accordingly, HTS cable 150 may require less refrigeration (when compared to HTS cable 12, which has greater heat retention) and may result in lower overall system and operating costs. Further, by moving copper core 100 from the inside of HTS cable 12 to the outside of HTS cable 150 (in the form of conventional cable 200), the heat capacity of HTS cable 150 and the thermal resistance between HTS layers 102, 104 and the coolant are both reduced, thus allowing for quicker recovery times in the event that fault current 124 increase the temperature of HTS cable 150 beyond the point where superconductivity may be maintained in HTS layers 102, 104. By removing copper core 100 from the inside of the HTS cable 12 and by using an appropriately- optimized HTS wire, one can incorporate fault current limiting functionality directly into HTS cable 150, thus removing the need for a separate standalone fault current limiter if one wants to protect the HTS cable or downstream utility equipment from fault currents.

HTS Cable and Fault Current Limiters

[0050] Referring again to FIG. 1, if a fault current within grid portion 10 causes the current flowing through HTS cable 12 to rise beyond the limits of conventional circuit

breakers 34, 36, an HTS FCL device 42 (shown in phantom) or conventional reactor technology (not shown) may be incorporated within grid section 10 to limit the amplitude of the fault current flowing through HTS cable 12 to a level that conventional circuit breakers 34, 36 may interrupt. Under normal conditions, when nominal current levels are flowing within grid section 10, HTS FCL device 42, which is connected in series with the power flow, may be designed to introduce very low impedance into the grid (compared to other grid impedances). However, when a fault current appears in grid section 10, the current causes the superconductor in HTS FCL 42 to instantaneously go "normal" or non-superconducting (i. e. resistive) and this adds a very large impedance into grid section 10. The HTS FCL 42 is designed to limit the fault current to a predetermined level that is within the interrupting capability of conventional circuit breakers 34, 36.

[0051] Standalone HTS FCL devices 42 are being developed by various companies, including American Superconductor Corporation (of Westborough, MA) in conjunction with Siemens AG (of Germany). Unfortunately, adding HTS FCL device 42 to grid section 10 may be very costly and may require a significant amount of space to accommodate device 42, which may be difficult to accommodate, especially in urban areas. Short busbars or modules with fault current limiting capability are being developed by various companies, including Nexans (of France) and EHTS (of Germany). While fault current limiting busbars may have certain applications, they do not provide the sought-after high capacity, low footprint and flexibility that is provided by long-length continuously flexible cables for transmission and distribution applications.

[0052] According to the present disclosure, an HTS device, e.g. continuously flexible long-length HTS cable 150 (FIG. 3), when properly designed, may be used as a fault current limiter itself without the need to incorporate a separate HTS FCL, such as HTS FCL 42 (FIG. 1). By controlling e.g., the normal-state (resistive) impedance of HTS cable 150, the HTS cable itself may be utilized to obtain the desirable effects (e.g., attenuation of fault currents) of a typical standalone HTS FCL while avoiding the undesirable effects (e.g., cost and size) of the typical standalone HTS FCL. In order to achieve further fault current limiting effects and advantages, the HTS cable may be placed in parallel with a conventional (i.e., non-

superconducting) cable. For example, if superconducting cable 150, and conventional cable 200 are placed in parallel, this combination may be designed and operated to act as a fault current limiting cable system that is described in more detail below.

[0053] This disclosure may be applied to other HTS devices as well. For example, if another type of superconducting device (e.g., a superconducting transformer, not shown) is placed in parallel with a conventional transformer (not shown), this combination of devices may be designed and operated to act as a fault current limiting system. In this case, the conventional transformer may be sized at a fraction of the steady state ratings because it is only active during a fault event, when a fast switch cuts off power flow through the superconducting transformer during its recovery period. Alternatively, where fault current attenuation is not required, this arrangement may allow the superconducting transformer to be smaller because not all of the fault current will flow through the superconducting transformer, preferring instead to flow through the conventional transformer. Accordingly, by placing a conventional device in parallel with a superconducting device according to this disclosure, the amplitude of the fault current on the grid may be limited to the desired level (by properly sizing the conventional parallel device and/or the superconducting device), thereby allowing the use of readily available circuit breakers.

[0054] During normal operation of the HTS device (e.g., HTS cable 150 in FIG 4), the impedance (i.e., both real and reactive) of the HTS device may be significantly lower than that of the conventional device (e.g., conventional cable 200). For example, the typical impedance of HTS cable 150 is essentially 0.00 + jθ.007 ohms per kilometer (when superconducting) and 1.46 + jθ.007 ohms per kilometer (when not superconducting and fully resistive), and the typical impedance of conventional cable 200 is 0.095 + jθ.171 ohms per kilometer. Note that HTS cable 150 has essentially zero resistance when superconducting. Accordingly, when HTS cable 150 is superconducting, the majority of the current passing through breakers 34, 36 will flow through HTS cable 150 (with very little or zero current passing through conventional cable 200). However, when not superconducting, the majority of the current will flow through conventional cable 200 (with only a small fraction flowing through HTS cable 150).

[0055] An impedance adjustment device (e.g., a transient-rated or fully-rated reactor assembly 206) may be coupled in series with conventional cable 200. An example of reactor assembly 206 may include, but is not limited to, an air-core dry-type power reactor manufactured by Trench ^® Limited of Scarborough, Ontario, Canada. Reactor assembly 206 may introduce a reactance (X), which is the imaginary portion of an impedance (Z), into non- superconducting electrical path 204. For an inductive reactor assembly, reactance (X) may be defined as 2 π (f)(L), wherein (f) is the frequency of the signal applied to reactor assembly 206 and (L) is the inductance of reactor assembly 206. Accordingly, for a system in which the signal applied to reactor assembly 206 is essentially constant (e.g., a 60 Hz power distribution system), the reactance (X) of reactor assembly 206 may be varied by varying the inductance of reactor assembly 206.

[0056] Further, a fast switch assembly 208 may be coupled in series with HTS cable 150. An example of fast switch assembly 208 is a 138kV Type PM Power Circuit Breaker manufactured by ABB Inc. of Greensburg, PA. One or both of reactor assembly 206 and/or fast switch assembly 208 (e.g., a switch capable of opening in 4 cycles) may be controllable by fault management system 38. For example, upon sensing fault current 124, fault management system 38 may open fast switch assembly 208, resulting in reactor assembly 206 along the conventional cable 200 absorbing a portion of the power of fault current 124 and effectively isolating HTS cable 150 from fault current 124. The fast switch is also protected by the current limitation from the rapidly switching HTS cable. For multiphase power, a plurality of reactor assemblies 206 and/or fast switch assemblies 208 may be utilized. The fast switch may be reclosed after some minutes when the HTS cable has recovered to its superconducting state.

[0057] Referring also to FIG. 5, the operation of HTS cable 150 as an FCL within the context of utility power grid 250 is shown. In this particular example, utility power grid 250 is shown to include 765kV bus 252, 69 kV bus 254, and 34.5 kV bus 256. Further, utility power grid 250 is shown to include three 138 kV substations 20, 258, 260, each of which provides power to 69 kV bus 254 through three 69 kV substations 24, 262, 264. Three 34.5 kV substations 266, 268, 270 may provide power from 69 kV bus 254 to 34.5 kV bus 256.

The HTS cable and FCL system, 150, 200, is shown between substations 20 and 24

[0058] When a fault current (e.g., fault current 124) is present within utility power grid 250, current may flow from all interconnected substations through all available paths to feed the fault, which may appear as a very large load placed on utility power grid 250. When calculating the fault currents realizable during a fault condition, the fault may be modeled as a short-circuit to ground.

[0059] Referring also to FIG. 6, when determining how much fault current a particular substation (e.g., 138kV substation 20) contributes to e.g., fault current 124, the open circuit generation voltage may be modeled as ideal voltage source 300. Further, the impedance of cables 150, 200 may be modeled as their resistive and reactive equivalent circuit elements and upstream impedance may be combined with the transformer impedances and represented as source impedance 302. Impedance in this context may be a complex vector quantity consisting of a real and a reactive component. Mathematically, impedance Z = R + jX, where R is the real (i.e., resistive) component and X is the reactive component. In this example, the reactive component is inductive and equal to jωL, where ω = 2πf and f is the frequency of the current flow (e.g. 60Hz in North America).

[0060] The cables may likewise be modeled as a complex impedance. For example, cables 150, 200 are shown terminated to ground because, as discussed above, the fault is modeled as a short circuit to ground. Ohm's Law may be used to determine the expected level of fault current provided by 138 kV substation 20. Using this approach with respect to the other substations with in grid 250, the overall fault current contributions may be calculated and the fault current expected to pass through cable 150 may be determined. The HTS cable 150 and conventional cable 200 may then be designed to limit this otherwise expected fault current 124 to a lower, predetermined level that the conventional circuit breakers are capable of handling.

[0061] In designing the HTS device and conventional device to work properly as an FCL, certain criteria should be considered. For example, during a fault condition, HTS cable 150 should be configured to achieve resistance high enough to provide the grid with a sufficient impedance to lower the fault current to the desired level. It also must be high enough relative

to the impedance of the conventional cable 200 for the majority of fault current 124 to flow through conventional cable 200. For example, superconducting electrical path 202 may be configured to have a series impedance that is at least N (e.g., greater than 1) times the series impedance of non-superconducting electrical path 204 when superconducting electrical path 202 is operated in its fully resistive state. A typical value for N is >1, and may be higher than 5. In conjunction with the impedance of the conventional parallel link, N may be selected to attenuate the known fault current level by at least 10%.

[0062] The design of this voltage divider must be such that the voltage drop across the HTS cable 150 during a fault does not cause the cable temperature to rise to a point where the refrigerant (e.g., liquid nitrogen or other liquid cryogen) changes from a liquid state to a gaseous state. If this were to occur, the dielectric strength of the liquid nitrogen between the high voltage cable core (e.g., HTS layers 102, 104) and the shield (e.g., HTS shield layer 108), would not be maintained and voltage breakdown within HTS cable 150 could occur potentially resulting in damage to the cable.

[0063] The criterion that the HTS device achieve a resistance high enough for the majority of the fault current to be directed through the conventional device is achievable due to an adequately high resistivity of HTS wire with its stabilizer after transition from superconducting state to normal (i.e., non- superconducting) state. As with all superconductors, as long as temperature, current density, and magnetic field strength remain below certain critical values, current will flow in the superconductor with essentially zero resistance. However, the heating in the resistive state of the HTS wire increases with the resistivity of the stabilizer. Therefore, the resistivity must be in an intermediate range, as described further below.

[0064] Assume that HTS cable 150 is a 2.60 km long HTS cable rated for 2400A of continuous current at 138kV. The HTS wires (e.g., HTS layers 102, 104) of HTS cable 150 may include twenty-eight strands of HTS wire in parallel. Further, assume that cable 150 is constructed using an HTS wire 0.44 cm wide, laminated with 300 microns of brass (150 microns per side) with a resistivity at 90 K of 5 microOhm-cm. Then one strand of this HTS wire has a 90 K resistance of approximately 37.9 Ohms per kilometer. American

Superconductor Corporation has demonstrated the lamination of brass stabilizer to HTS wire. Accordingly, the cable resistance per phase would be 37.9 ω/km * 2.6 km * 1.08 / 28 strands = 3.80 ω. The 1.08 factor results from the spiral cabling process that requires each strand to be longer than the length of HTS cable 150. For conventional cable 200, the impedance is 2.6 km * (0.095 + jθ.17) ω / km = 0.25 + jθ.44 ω. Accordingly, while HTS cable 150 has an impedance value when superconducting that is substantially lower (i.e., 0.00 + jθ.007 ω/km) than conventional cable 200, when HTS cable 150 is not superconducting (e.g., when a high temperature condition occurs), the impedance of HTS cable 150 is substantially higher (having an impedance of 1.46 + jθ.007 ω/km) than conventional cable 200 (having an inductive impedance of 0.095 + jθ.17 ω/km).

[0065] Referring also to FIG. 7A, there is shown a cross-sectional view of one HTS coated conductor wire 350 used to construct HTS layers 102, 104. In this example, HTS wire 350 used in HTS layers 102, 104 is shown to include two stabilizer layers 352, 353, and substrate 354. An example of stabilizer layers 352, 353 may include but is not limited to brass or other copper or nickel alloys. An example of substrate 354 may include but is not limited to nickel-tungsten, stainless steel, and Hastelloy. Positioned between stabilizer layer 352 and substrate 354 may be buffer layer 356, HTS layer 358 (e.g., a yttrium-barium- copper-oxide layer), and cap layer 360 consisting of e.g., silver. An example of buffer layer 356 is the combination of yttria, yttria- stabilized zirconia, and cerium oxide (CeO ₂ ), and an example of cap layer 360 is silver. A solder layer 362 (e.g., a SnPbAg layer) may be used to bond stabilizer layers 352 and 353 to cap layer 360 and substrate layer 354. Other configurations, with additional HTS layers, substrates and stabilizers, as well as possible encapsulants, are also considered within the scope of this invention.

[0066] In addition to the above-described wire configuration, other wire configurations are considered to be included within the scope of this disclosure. For example, a single stabilizer layer may be used. Alternatively, a second HTS layer (with its buffer and cap layers, not shown) may be located between second stabilizer layer 353 and the underside of substrate 354. Optionally, the HTS wire may consist of two stabilizer layers positioned on the outside of the HTS wire, with two substrates (each with a buffer layer, an HTS layer, and

a cap layer), separated by a third stabilizer layer positioned between the two substrate layers. A solder layer may be used to facilitate any of the required bonds (except possibly between substrate layer 354, buffer layer 356, HTS layer 358 and cap layer 360).

[0067] Referring also to FIG. 7B, there is shown HTS wire 350', which is an alternative embodiment of HTS wire 350. HTS wire 350' may include a second substrate layer 380 positioned between second stabilizer layer 353 and third stabilizer layer 382. Positioned between stabilizer layer 353 (and/or stabilizer layer 382) and substrate layer 380 may be a buffer layer, an HTS layer (e.g., an yttrium-barium-copper-oxide - YBCO - layer), a cap layer, and a solder layer.

[0068] Additional specific heat may be provided by optionally adding a poorly- conducting "insulator" layer deposited or wrapped around the stabilized HTS wire to encapsulate it. This poorly-conducting insulator layer may be referred to as encapsulant 364. Encapsulant 364 may form a liquid-impermeable layer of generally limited heat transfer coefficient to delay heat introduction into the surrounding liquid coolant (e.g., liquid nitrogen ), thus allowing the temperature of the HTS wire to thermalize, i.e., become more uniform across its cross section and thus minimize the occurrence of hot spots and gas bubble formation in the liquid coolant. The surface of the HTS wire may also be optimized (e.g., with surface features and surface chemistry) to inhibit the onset of liquid coolant bubbling or boiling.

[0069] Encapsulant 364 may be a polymer (e.g., polyethylene, polyester, polypropylene, epoxy, polymethyl methacrylate, polyimides, polytetrafluoroethylene, and polyurethane) that includes common electrically insulating materials. The thickness of encapsulant 364 may be selected to balance the need to cool the HTS wire by heat transfer into the surrounding liquid coolant and the need to maximize the temperature of the HTS wire without forming gas bubbles within the surrounding liquid coolant. A general thickness range for encapsulant 364 is 25-300 micrometers, and a desirable thickness range for encapsulant 364 is 50-150 micrometers.

[0070] In a preferred form, encapsulant 364 may also be weakly electrically conducting, perhaps through the addition of conducting particles such as metal, graphite or carbon

powder, or may be selected from some of the partially electrically conducting polymers. The net electrical resistivity of encapsulant 364 may be in the range of 0.0001-100 Ohm cm. While this modest electrical conductivity may not significantly reduce the fault-current- limiting resistance of the HTS wire in its resistive or normal state, this conductivity may insure that the HTS wires in the HTS cable remain at an equipotential at each cross-section and allow for current sharing between the different HTS wires in HTS cable 150. Maintaining an equipotential is important in case of surges of current that may otherwise cause inductively-induced potential differences between the HTS wires, leading to dielectric breakdown and possible damage to the HTS wires. Optionally, encapsulant 364 may be a high resistivity metal or semiconducting material with resistance in this range, or an enamel, glass or crystalline oxide material, which may also contain electrical conductivity enhancing materials.

[0071] The outer surface of encapsulant 364 may be coated with a material that decreases the coefficient of heat transfer between encapsulant 364 and the surrounding liquid coolant (e.g., liquid nitrogen). Alternatively, the surface of encapsulant 364 may be textured to enhance the coefficient of heat transfer between encapsulant 364 and the surrounding liquid coolant (e.g., liquid nitrogen). Further, the surface of encapsulant 364 may be coated with e.g., higher conductivity metal particles or protruding metals fibers so as to inhibit nucleation by rapidly dissipating heat outward into the surrounding liquid coolant. However, any such surface treatments must also avoid decreasing the dielectric strength in the liquid state.

[0072] Encapsulant 364 may be applied using various wrapping / coating methods, including e.g., multi-pass approaches that statistically reduce the incidence of perforations in comparison to single pass approaches. Alternatively, encapsulant 364 may be applied by a coating method such as dipping, extrusion, plating, vapor deposition or spraying.

[0073] Encapsulant 364 may be applied while the HTS wire is in axial tension, up to for example tensile strains in the wire of 0.3% (e. g. of order 100 MegaPascals), thus placing encapsulant 364 in a compressed state upon completion of the application process, and reducing the likelihood of perforations in encapsulant 364. Accordingly, once completed, encapsulant 364 may be axially compressed, while the HTS wire within encapsulant 364 is

axially tensioned (when compared to their initial states).

[0074] If encapsulant 364 is applied using a wrapping procedure, an additional, impregnating coating (e.g., a polymer, a paint or a varnish, not shown) may be applied that penetrates any gaps / openings in encapsulant 364 into the wrapped layers with an impermeable material, thus forming a hermetically-sealed encapsulant. Alternatively, a wrapped encapsulant may be made hermetic by a rolling or compression process (e.g., isostatic pressing) that seals the above-referenced gaps / openings. Avoiding gaps or openings is important because liquid cryogen penetrating towards the metallic stabilizer layers of the wire may initiate gas bubble nucleation and boiling during a fault.

[0075] Another class of encapsulants or stabilizers are materials that undergo an endothermic phase transition, such as melting or crystal structure phase transition. The use of a material that undergoes such an endothermic phase change at some temperature above the operating temperature of the HTS wire (but below the maximum allowable temperature of the HTS wire) is preferred. An example of an endothermic phase change is the melting of e.g., low melting temperature organic or inorganic materials, that may be added: to encapsulant 364 as discrete embedded particles in a composite reinforcement material; as gels / paints that may be applied to the surface / interfaces of encapsulant 364; or selectively to certain regions of encapsulant 364 (e.g., edges, fillets, or in internal conduit regions). Endothermic phase changes may also include e.g., certain intermetallic phase changes, ordering phase changes, or other second order phase transitions. For example, the material selected for encapsulant 364 may melt in the -160° to -70° C range, with the material boiling above approximately - 50° C (with a preferably boiling point above ambient temperature), so as to make application of encapsulant 364 comparatively easy and economical in the liquid or composite state (i.e., as a paint, a film coating, an emulsion or a gel).

[0076] Referring also to FIG. 8, an equivalent electrical model 400 of HTS wire 350 is shown. For illustrative purpose, equivalent electrical model 400 illustrates HTS wire 350 as a superconducting layer 402 on the lower half of model 400 and all other wire structures combined to form resistive metallic layer 404 on the upper half of model 400. When HTS wire 350 is in superconducting mode, all current flows within the essentially zero resistance

superconducting layer 402. When in non- superconducting mode, current flows within resistive metallic layer 404, consisting principally of the stabilizer.

[0077] Referring also to FIG. 9 and as discussed above, exceeding a critical current level is what differentiates between HTS wire 350 functioning in a superconducting mode or in a non-superconducting mode. HTS wire 350 may be modeled to include a switch 406 that, for low currents (i.e., below the critical current level), is closed and shunts the resistance 408 of metallic layer 404. Accordingly, when switch 406 is closed, all current flows through superconducting layer 402, which is modeled as zero resistance. When the critical current level is exceeded, superconducting layer 402 may become highly resistive and switch 406 may be opened, resulting in all current flowing through resistive metallic layer 404.

[0078] Referring also to FIG. 10, there is shown a model of the combination of HTS cable 150 and conventional cable 200 during superconducting operation mode. For this model, assume a typical source voltage of 79.7kV line-to-ground and a source impedance of 0.155 + jl.55 Ohms (Vs, Ls, and Rs in Fig. 6). These values result in a fault current of 5IkA for a fault in substation 20 ahead of cables 150, 200. Inserting typical real and reactive impedance values for e.g., a 2600 meter cable, during normal operation where current (i.e., below the critical current level) flows from one substation to another substation, the switch is closed and 96 % of the current flows within HTS cable 150.

[0079] Referring also to FIG. 11, during a fault condition, the critical current level is met or exceeded, causing switch 410 (FIG. 9) to open. The additional resistance of metallic layer 402 (FIG. 8) of HTS cable 150 may cause the majority of the fault current to flow within conventional cable 200. Specifically, for the values shown, 88% of the fault current flows within conventional cable 200 and 12% within HTS cable 150 when the HTS cable becomes fully resistive. Total fault current flowing in cables 150, 200 is 4OkA which is significantly reduced from the 5IkA available. This 20% reduction in available fault current is typical of what may be required of a fault current limiter.

[0080] To prevent HTS cable 150 from heating excessively during a fault, several measures may be taken. Typically, fast switch assembly 208 (FIG. 4), which is in series with the HTS cable 150, may be opened after e.g., 4 cycles, and is only closed after HTS cable 150

cools to an acceptable starting temperature. Alternatively, circuit breakers 34 and/or circuit breaker 36 may be opened.

[0081] To further minimize the temperature rise, stabilizer layer 352 (FIG. 7) may be quite thick (e.g., 300 microns) to increase the heat capacity. At the same time, the resistivity of stabilizer layer 352 maybe chosen at a value to minimize the temperature rise due to resistive heating, while at the same time being high enough to insure that in its switched state, HTS cable 150 has a high enough resistance to insure transfer of a majority of fault current 124 (FIG. 5) to conventional cable 200. Typically, values in the range of 0.8-15 microOhm- cm, or more preferably 1-10 microOhm-cm, at around 90 K fulfill these requirements for typical applications. A convenient material family to achieve such values is brass (Cu-Zn alloy), but many other alloys such as CuNi and CuMn are also possible. These values are provided for illustrative purposes only and are not intended to be a limitation of this disclosure. For example, in the case described above, with 28 parallel HTS wires, each 0.44 cm in width and with a total of 300 microns of stabilizer with 5.0 microθhm-cm resistivity provides a resistance of 1.35 Ohm/km, while the temperature rise during a 4-cycle (0.067 sec) hold time prior to the opening of the fast switch, for an effective critical current of 350 A/cm is about 5xlO ^"6 (350/0.03) ² x 0.067/(2 x 2) = 11 K (assuming an adiabatic temperature rise with a heat capacity of 2 J/cm ³ K and an /-factor of 1). For a pressurized cable system with pressures in the range of 15-20 bar, nitrogen bubbles above about 110 K; so this temperature rise is acceptable for operation in the 70-80K temperature range. For wires with a lower critical current of about 250 A/cm- width, a resistivity of about 10 microθhm-cm would result in the same temperature rise. For wires with an /-factor of 2, the temperature rise would be approximately 44 K; in this case a resistivity of 3 microθhm-cm would give a temperature rise of approximately 26 K, acceptable for a cable operating below 77 K. For wires with an /-factor of 3, a resistivity of 1 microθhm-cm would give a temperature rise of approximately 20 K.

[0082] Therefore, values of stabilizer resistivity in the range of 1 - 10 microOhm cm are preferred. For a somewhat wider range of starting parameters, the wider resistivity range of 0.8-15 microOhm cm is also possible. These values differ from previous approaches for HTS

cable taken in the literature. On the one hand, most HTS cables, designed for protection rather than current limiting, have been constructed with low resistivity copper shunts, which have resistivity in the 77-90 K temperature range below 0.5 microOhm-cm. On the other hand, a previous design for current limiting cable (See SUPERPOLI Fault-Current Limiters Based on YBCO-Coated Stainless Steel Tapes by A. Usoskin et al., IEEE Trans, on Applied Superconductivity, Vol. 13, No. 2, June 2003, pp. 1972-5) used either rods or cylinders of superconductor itself, which has a resistivity of around 100 microθhm-cm in the normal resistive state, or of HTS wires stabilized by stainless steel, which has a resistivity of >50 microθhm-cm. The solution of the present invention using an intermediate range of stabilizer resistivities was not previously recognized.

[0083] Now consider the example of a 600m length of the same cable (i.e. 138kV, 2400A and constructed the same way with the same wire characteristics). The source voltage and impedance values of FIG. 9 remain unchanged. However, the impedance of conventional cable 200 is 0.57 + jO.lO Ohms and the impedance of HTS cable 150 is 0.88 + jθ.005 Ohms in the non-superconducting state. In this scenario, the fault current is only reduced to 48kA from 5IkA. To reduce the fault current further, a reactor (e.g., reactor 206) may be inserted in series with conventional cable 200. For example, a 1.4mH reactor has an impedance of 0 + jθ.53 Ohms and when that impedance is added to the conventional cable impedance (because they are connected in series), the total fault current flowing in the cables is reduced to 4OkA.

[0084] The net effect of fault-current limiting cable 150 is to: limit current in the impacted branch of the cable system to a level no larger than the product of the /-factor and the critical current I _c ; protect fast switch assembly 208; and divert the remaining fault current to non- superconducting cable 200 and reactor 206. In the above example, without the use of the fault current limiting HTS cable design according to this disclosure, the fault current in the branch of the cable system may be significantly higher (e.g., an order of magnitude greater). However, precise current levels depend on the impedances and power levels within the electrical path. After fast switch assembly 208 opens, non- superconducting cable 200 and reactor 206 pass the fault current until circuit breakers 34, 36 open. Through proper choice of the impedance of non-superconducting cable 200 and reactor 206, the fault current may be

limited to the desired level. After superconducting cable 150 recovers to its superconducting state after a few minutes, fast switch assembly 208 may be closed, allowing the system to resume its original operation.

[0085] While superconducting cable 150 is described above as being a single superconducting cable in which the entire cable has common superconducting parameters (e.g., made of a single superconducting material), other configurations are possible and are considered to be within the scope of this disclosure. For example and referring also to FIG, 12, there is shown an alternative embodiment superconducting cable 150' that includes a plurality of distinct superconducting cable portions 450, 452. While alternative embodiment superconducting cable 150' is shown to include two superconducting cable portions 450, 452, this is for illustrative proposes only and is not intended to be a limitation of this disclosure, as the actual number of superconducting cable portions may be increased / decreased depending on application.

[0086] Due to the varying transition characteristics of different superconducting materials (i.e., during transition from a superconducting state to a normal state), some superconducting materials by nature are better than others in fault current limiting applications. For example, YBCO (i.e., yttrium-barium-copper-oxide) conductors are typically considered better than BSCCO (i.e., bismuth-strontium-calcium-copper-oxide) conductors for fault current limiting applications due to the higher n- values of YBCO conductors, wherein the n- value of a superconductor is used to reflect the abruptness of the transition from a superconducting state to a normal state. Typical examples of n-values may range from 10-100, with YBCO wires having an n-value of 25-30 and BSCCO wires having an n-value of 15-20.

[0087] Accordingly, a superconducting cable portion may be constructed of a plurality of superconducting cable portions (e.g., cable portions 450, 452), in which each of superconducting cable portions 450, 452 is constructed using different superconducting materials. For example, superconducting cable portion 450 may be constructed of BSCCO (i.e., bismuth-strontium-calcium-copper-oxide) wires, while superconducting cable portion 452 may be constructed of YBCO (i.e., yttrium- or rare-earth-barium-copper-oxide) wires. Examples of BSCCO cable portion 450 may include, but are not limited to, BSCCO wires

manufactured by Sumitomo Electric Industries, Ltd., of Osaka, Japan and American Superconductor Corporation of Westborough, MA. Examples of YBCO cable portion 452 may include, but are not limited to, YBCO wires manufactured by American Superconductor Corporation of Westborough, MA.

[0088] Accordingly, while a superconducting cable constructed entirely of BSCCO wires may have limited effectiveness as a fault current limiting device (i.e., due to a low n-value), adding a cable portion that is constructed using a wire having a higher n-value may result in an overall cable (i.e., the combination of cable portions 450, 452) that is effective as a fault current limiting device. Therefore, by adding a high n-value cable portion (e.g., superconducting cable portion 452 constructed using YBCO wires designed as described in this disclosure) to an existing low n-value cable portion (e.g., superconducting cable portion 450 constructed using BSCCO wires), a fault current limiting superconducting cable 150' may be realized. In this configuration, the high n-value transition characteristics of cable portion 452 may be used to achieve the desirable fault current limiting effects within superconducting cable 150' (which includes low n-value cable portion 450).

[0089] A number of implementations have been described. Nevertheless, it will be understood that various modifications may be made. Accordingly, other implementations are within the scope of the following claims.