1 Introduction

The International Thermonuclear Experimental Reactor (ITER) is an international project undertaken by China (CN), Europe (EU), India (IN), Korea (KO), the Russian Federation (RF), the United States (US), and Japan (JA) [1]; these members are responsible for the design and fabrication of the major components to be assembled into the ITER facility. An overview of ITER is shown in Fig. 1; plasma confinement in the device is based on a superconducting magnet system. All ITER members except IN contribute to the development. The ITER magnet system is the largest unified superconducting magnet system ever built in the world.

Fig. 1
figure 1

Overview of ITER. CS designates the central solenoid; TF toroidal field, PF poloidal field

The superconducting magnet system [2, 3] consists of four different types of coils. These are 18 toroidal field (TF) coils, 6 poloidal field (PF) coils, 18 correction coils (CC), and 6 central solenoid (CS) modules, as shown in Fig. 2. These coils rely on cable-in-conduit conductors (CICCs) [4], which contain superconducting strands twisted in multiple stages in a stainless steel conduit. The conductors in the TF and CS coils consist of Nb3Sn strands, while the PF and CC conductors consist of Nb-Ti strands. These conductors are cooled by cryogenic fluids and operated below the current-sharing temperature (Tcs).

Fig. 2
figure 2

ITER superconducting magnet system (TF, PF, CC coils, and CS)

The National Institutes for Quantum and Radiological Science and Technology (QST), acting as Japan’s domestic agency in ITER, has responsibility to develop the CS conductor [5, 6]. There are 49 conductors, each having the length of several hundred meters, which are to be produced for the CS. The operating scenario for the CS is pulsed operation that induces 15 MA of plasma, with 30,000 repetitions and a burn duration of 400 s [7]; the CS conductor must therefore survive severe repeated cycles of electromagnetic force (EM). A requirement of the CS conductor is no degradation of Tcs from the EM cycles.

In 2010 and 2011, qualification tests of the CS conductor initially developed were performed, showing unexpected degradation of Tcs in the EM cycles. Investigations were undertaken to understand this degradation [8, 9]; one of the most effective techniques was neutron diffraction analysis. This analysis clearly showed strand deformation [10] as the cause of the Tcs degradation; consequently, the authors decided to optimize the conductor design to prevent this deformation. The status of this work is described in this paper.

To re-design the conductor [11,12,13], the twist pitch of the cable was shortened. It was expected that a shorter twist pitch configuration would reduce the strand deformation under EM cycles; however, this optimization produced another problem: dented strands during the cabling process. To overcome this issue, QST improved the cabling process by applying empirical criteria to the dented strand [14]; an overview is presented in this paper.

In 2012, a qualification test of the optimized conductor with a shorter twist pitch was performed and showed no degradation of Tcs with EM cycles [15]. With this success, series production of the CS conductors could begin, and in parallel, to confirm the performance of the optimized short twist pitch conductor under conditions which more precisely duplicate the ITER CS operation, a central solenoid insert (CSI) was tested in 2015. The results satisfied all the CS requirements with a sufficient margin for Tcs [16]. The status is also described in this paper.

2 ITER CS conductor

The CS consists of 6 modules designated CS1U, CS1L, CS2U, CS2L, CS3U, and CS3L, as shown in Fig. 3. Each module has 40 layers of 6 hexa-pancake and 1 quadra-pancake. The hexa-pancake and quadra-pancake consist of 918 m and 613 m CIC conductor, respectively. Thus, a total of 49 CIC conductors are required for six modules plus one spare.

Fig. 3
figure 3

Overview of central solenoid (6 modules). Each module contains 40 pancake layers

The CS is pulse-operated to produce 15 MA of plasma in the ITER scenario. Details of the scenario are shown in [7]. In this operation, the charge and discharge are repeated up to 30,000 cycles, and thus, the CS conductor is subjected to 60,000 repeated EM cycles. In this scenario, the conductor current is ramped up to 45 kA in a maximum field of 13 T. To accommodate this combination of high current and high magnetic field, the CS conductor consists of 576 Nb3Sn and 288 copper strands, twisted in several stages and contained in a stainless steel conduit [7], as shown in Fig. 4. The conductor is cooled and should be operated below its current-sharing temperature, Tcs. Thus, the value of Tcs should remain above the operating temperature under repeated EM cycles. In the operation, there are two main critical conditions: One is the start-of-discharge (SOD), and the other is the end-of-burn (EOB) [7]. The SOD, with 40 kA of conductor current and 13 T of maximum field, presents the most severe conditions, that is, the smallest temperature margin; in comparison, the maximum EM force is applied during the EOB. Therefore, the constraint on Tcs is defined by the SOD conditions; the limiting value for Tcs is 5.2 K.

Fig. 4
figure 4

ITER CS conductor center channel is for cooling; first twisted strand (triplet) contains two Nb3Sn strands and one Cu strand; final stage of 6 strands shows the wrapping on each strand. In total, there are 576 Nb3Sn strands and 288 copper strands

3 Initial design of the CS conductor

The major parameters of the initial CS conductor are listed in Table 1; this design was based on previous reports [17, 18]. Nb3Sn and Cu strands were twisted in five stages with 45, 85, 145, 250, and 450 mm pitch, with a center channel, and then inserted into a JK2LB 49 mm square stainless steel conduit. In the initial stage of the development, the qualification test was performed using the SULTAN test facility and will be denoted the SULTAN test. Its purpose was to determine whether the conductor satisfies the required Tcs through a number of EM cycles.

Table 1 Major parameters of the CS conductor initial design

In the SULTAN test, two straight conductor samples of length about 3.5 m are positioned as shown in the test facility, which applies an external magnetic field (Fig. 5) [19]. The SULTAN test facility is the only way to confirm performance of ITER scale conductor. However, the peak external field is limited to 10.85 T, which corresponds to about 11.5 T of maximum field during conductor current flow. Therefore, the current chosen for the Tcs measurements was 45 kA, which reproduces the EM force experienced during the SOD condition (i.e., SOD condition: 40 kA × 13 T ≃ SULTAN condition: 45 kA × 11.5 T), while EM cycle is done by 48.8 kA of sample current (EOB condition) [4]. As the external field in the SULTAN test condition is different from that during SOD, the Tcs criterion was adjusted to 6.5 K for the test.

Fig. 5
figure 5

Overview of SULTAN test and the conductor sample

To measure the current-sharing temperature Tcs, the voltage of the sample was monitored as its temperature was increased, while maintaining the test conditions of 45 kA and 11.5 T. Tcs is defined as the temperature when the voltage reaches 10 μV/m. The Tcs measurement was repeated through the test, allowing the Tcs dependence on number of EM cycles to be determined (Fig. 6). Tcs decreases linearly with the number of EM cycles and is extrapolated to fall below the criterion of 6.5 K at around 12,000 cycles. Thus, the initial conductor design is clearly not appropriate for the CS conductor.

Fig. 6
figure 6

Current-sharing temperature Tcs for the initial conductor design, as a function of EM cycles

4 Consideration of the degradation

To investigate the SULTAN test results seen in Fig. 6, which shows an unexpected level of Tcs degradation with EM cycles, a destructive examination (DE) was done on the sample tested. A visual inspection of a section of cable surface was carried out to investigate the effects of the large EM forces applied; the observations were specifically directed at the high-load zone (HLZ) and the low-load zone (LLZ). The inspection showed that strands in the LLZ exhibited the most bending (Fig. 7). Because the direction of the bent strand did not correspond to that of the EM loading, another cause was sought; the original assumption had been that strand bending was only caused by EM loading in the HLZ [20, 21]. Thus, the observed phenomenon required a more complex explanation.

Fig. 7
figure 7

Cable surface in the LLZ and HLZ observed in destructive examination of the SULTAN test sample

Researchers have tried to understand this unexpected strand deformation in the LLZ [9, 22]; one mechanism was assumed: strand buckling. In this mechanism, thermal compressive forces originally acted on strands inside the conduit as a result of differences between the thermal contraction properties of materials in the conductor, operating during the heat treatment and cool-down process. On the other hand, a large void was generated in the LLZ because EM loading pushed strands forward toward the HLZ. Since the large void allows strands to move easily, strands were compressed and then buckled by the thermal compressive forces, and as a result, strand buckling occurs in the LLZ [23].

To study the bent strand condition more quantitatively, various approaches were taken [9, 22, 23]. One of the most sophisticated studies used neutron diffraction analysis [10], which accurately evaluates strains in the strands inside the conductor. Figure 8 shows schematically the response of a neutron diffraction profile for the cases of axial or bending strain. If axial strain occurs, the diffraction peaks are shifted, while if bending strain occurs, the diffraction profile is broadened.

Fig. 8
figure 8

Response of a neutron diffraction profile for axial or bending strain

The neutron diffraction analysis was performed for SULTAN test samples from the HLZ, the LLZ, and a low-field zone (LFZ) where the external field is almost zero. Since the LFZ is exposed to a sufficiently small electromagnetic force, it is assumed there is no degradation. The result is shown in Fig. 9. The diffraction profile from the LLZ is much broader than the other profiles. This clearly shows that strands in the LLZ bent the most severely. Since Nb3Sn strands are very sensitive to strain, it was concluded that the main cause of conductor degradation shown in Fig. 6 was strand deformation such as buckling and/or bending in the LLZ.

Fig. 9
figure 9

Neutron diffraction analysis for high-load zone (HLZ), low-load zone (LLZ), and low-field zone (LFZ) SULTAN test samples

5 Optimized conductor design

To prevent the strand deformations in the LLZ mentioned in the last section, research and development on the cable configuration was undertaken [11,12,13]. The main approach chosen for optimization was to shorten the twist pitch of the cable to 20, 45, 80, 150, and 450 mm in the stages, as shown in Fig. 10. It was expected that the short twist pitch (STP) configuration would reduce the strand deformation under EM cycles (seen in Fig. 7) because each strand is more tightly fixed inside a cable with a lower void fraction.

Fig. 10
figure 10

Optimized short twist pitch conductor design

However, this optimization approach produced another problem for the cable production process. Destructive examination of the modified (i.e., STP) conductor sample revealed severe strand cross-sectional deformation inside the cable, as shown in Fig. 11 [14]. This deformation occurred during the cable manufacturing process, as a result of each strand being more tightly twisted and compacted. To assess the influence of this deformation on strand performance, critical current (Ic) measurements on dented strands were performed (Fig. 12). From these measurements, Ic can be kept to 95% of its value if the dents are smaller than 0.21 mm; this new result gave the authors an empirical criterion for cable production. Based on this observation, the parameters of the cabling machine can be optimized so that harmful deformation of strands is avoided.

Fig. 11
figure 11

Strand deformation during the cabling process

Fig. 12
figure 12

Results of Ic measurement on dented strands. The horizontal axis is the depth of indentation, and the vertical axis shows Ic normalized to the undented value

To confirm this effect in the STP-modified conductor, the SULTAN test was performed under the same conditions as in Fig. 6, with the results shown in Fig. 13 [13]. No degradation was observed through the same number of EM cycles, and it is concluded that this STP conductor design is appropriate for the CS conductor. Following the success of this development, series production of CS conductors was started.

Fig. 13
figure 13

Measurement results of Tcs as a function of EM cycles in the optimized short twist pitch conductor

6 CS insert test

Following the success of the SULTAN test with the optimized STP conductor, the series production of CS conductors could be started, as mentioned above. In parallel, to finally check the performance of the STP conductor under conditions which are more precisely the same as during CS operation, a central solenoid insert sample (CSI) was tested in the external field of the Central Solenoid Model Coil (CSMC) Facility [17] shown in Fig. 14.

Fig. 14
figure 14

Overview of the CS insert (CSI) test at the CS Model Coil Facility

As the CSI is a single-layer solenoid, strain induced by the circular geometry (hoop strain) can be included in the evaluation of the CS conductor performance, which is not possible in the straight-line conductor samples in the SULTAN test. In addition, CSMC can generate an external field up to 13 T. Thus, the purpose of the CSI test is to evaluate Tcs under real CS operation (i.e., SOD conditions: 13 T of external field and 40 kA of current) with hoop strain. An additional objective was to compare the results to the SULTAN tests. Therefore, the CSI tests also included the SULTAN conditions of 11.5 T of external field and 45 kA of current. The requirement criteria for Tcs are 5.2 K and 6.5 K in the SOD and SULTAN conditions, respectively, as discussed above.

The result of the CSI test with SOD conditions is shown in Fig. 15. No degradation of Tcs with increasing EM cycles was observed, and there was a temperature margin of at least 1.5 K above the 5.2 K of the requirement criterion. Thus, it can be assumed that even if 60,000 cycles of EM loading are imposed on the conductor, its performance will be sustained.

Fig. 15
figure 15

Central solenoid insert (CSI) measurement of Tcs under SOD conditions, as a function of EM cycles

The CSI test result under SULTAN conditions is shown in Fig. 16. Again, no degradation of Tcs was observed and there is a sufficient temperature margin above the 6.5 K criterion for SULTAN conditions. In addition, the Tcs was about 0.5 K higher than the SULTAN test; this increase was the result of hoop strain. Thus, correlation between CSI and SULTAN tests was reasonable. This implies that the SULTAN test correctly represents the conductor performance.

Fig. 16
figure 16

CSI measurement of Tcs under SULTAN conditions, as a function of EM cycles, in comparison with the SULTAN conductor test result

7 Conclusion

Development of the CS conductor for ITER has given rise to technical challenges. However, QST overcame these difficulties with novel, accurate, and sophisticated investigation, notable consideration of the mechanisms degrading the current-sharing temperature and development of a short twist pitch design for the CS conductor. Following this successful development stage, the series CS conductor production could be started in 2012. In parallel, a final check to qualify the conductor performance (CSI test) was conducted in 2015. Fabrication of all the CS conductors was successfully completed in 2017; the photograph of completion of the final conductor is presented in Fig. 17. CS conductors were shipped to the USA, which is a coil manufacturer of the CS. The last conductors finally arrived in March 2018.

Fig. 17
figure 17

Group photograph after fabrication of the final conductor