In this paper, a new procedure is presented for life estimation of HVDC cables subjected to the time-varying electrothermal stress associated with load cycles and voltage. The electric-field inversion phenomenon in the insulation of dc cables is accounted for by updating the field profile as the temperature profile changes with the load. The thermal transients due to load cycles are modeled via the CIGRÉ transient thermal network adapted to dc cables. The life fractions lost during each cycle because of the cyclic variation of the electrothermal stress are computed via an adequate electrothermal life model for the insulation of HVDC cables. The Weibull hypothesis is made for relating cable life to failure probability. The procedure is applied to the load cycles of the prequalification test for HVDC extruded cables after CIGRÉ Technical Brochure 496 that does not consider the effect of thermal and synergistic electrothermal aging. It is thus shown that this test might be less severe than it should be.
Index Terms-DC power transmission, electrothermal effects, high-voltage direct-current (HVDC) insulation, life estimation, testing.
I. INTRODUCTIONH IGH-VOLTAGE direct-current (HVDC) cable systems are often the best or the only option for bulk long-distance subsea or underground transmission [1], and their improved performances gave rise to an increased growth of installed HVDC cable lines worldwide [2], [3]. As for the HVDC extruded cable systems, in particular, their voltage and power ratings have reached 300-350 kV and 1000 MW, respectively, and commercial HVDC extruded cable system projects at the 320-kV level are on their way to commissioning [3]- [8].With this background, the CIGRÉ Technical Brochure (TB) 496 [9] has broadened the "Recommendations for testing dc extruded cable systems" after former TB 219 from the 250-kV to the 500-kV level. TB 496 emphasizes long-term reliability by prescribing the prequalification (PQ) test-one year of daily load cycles under dc voltage-"in order to demonstrate satisfactory long-term performance of the cable system" [9].Commonly, the accessories (joints and terminations) are the "weak link" of HV cable systems from the viewpoint of longterm reliability [3], [10]. However, as for HVDC extruded cable Manuscript