A system includes a heat exchange system and a power generation system. The heat exchange system includes first, second, and third heat exchangers each operable as a continuous source of heat from a delayed coking plant. The first and second heat exchangers heat first and second fluid streams to produce heated first and second fluid streams, respectively. The heated second fluid stream has a lower temperature and a greater quantity of heat than the heated first fluid stream. The third heat exchanger heats a third fluid stream to produce a heated third fluid stream that includes the heated first fluid stream and a hot fluid stream. The heated third fluid stream has a lower temperature than the heated first fluid stream. The power generation system generates power using heat from the heated second and third fluid streams.
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