| Second generation (2G) high-temperature superconducting coated conductors are playing an increasing important role in power applications due to their high current capacity and excellent performance in fields. The modeling and simulation to HTS power applications will help us to predict the running condition thus we can modify parameters of these devices and to find ways to reduce their losses and design cooling systems. China Fusion Engineering Test Reactor (CFETR) will be a new tokamak device aiming to explore the new technology of fusion, the magnet system of this device will take superconductors as its major materials.2G-HTSs are good choices because the price of cooling system will be lower and as they work well under strong magnetic fields thus the stability will be guaranteed.The application of superconducting materials can cause many problems in real life working condition. In this article, these problems are discussed in detail and at the same time the methods when those predecessors facing these problems are reviewed. A comparison is made between different methods and pros and cons of each method are listed. Then, we know which method is best fit under certain circumstances. The major contribution of this article is that an equivalent matrix form of J formulation has been presented and a relation between electromagnetic quantities and Karush-Kuhn-Tucker (KKT) conditions in optimization theory has been discovered. The use of the latest formulae to calculate inductance in coil system and primal-dual interior-point method algorithm is a trial to make the process of modeling stylized and build a bridge to commercial optimization solvers. Two different dependence of the critical current density on magnetic field have been used in order to make a comparison with those published papers. In order to make the simulation results clear and understood, there is one chapter that shows the derivation of these formulae. |
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