Fuel cycle of light water reactor with full consumption of recycled uranium

The paper describes an approach to solve the problem of closing fuel cycle of light water reactors (LWR) trough the multiple uranium recycling. Since the second uranium recycle there is a problem of full return of the recycled uranium to LWR fuel cycle due to significant increasing of ${}^{232}$U concentration and strong regulatory restrictions on its content. The paper shows that the use of a double cascade is able to provide almost complete return of recycled uranium to the fuel cycle with minor losses. The reason for the losses is the necessity to clean the recycled uranium from the ${}^{232}$U isotope. We developed a multi-criteria approach to choosing the optimal cascade scheme parameters. The efficiency of the algorithm is demonstrated by the example of enrichment of the recycled uranium of the second recycle. It is shown that not correctly selected optimization criteria of the double cascade enrichment scheme can lead to the fact that the loss of the ${}^{235}$U isotope, provided with waste treatment from ${}^{232}$U, will exceed its savings.