Today we must get help from renewable energy to meet our needs because fossil energy is running out. One of the new methods is using geothermal energy. A new cascade utilization system (CUS) of geothermal energy and a new control algorithm for use in the CUS of geothermal energy has been addressed for textile industries. Findings inferred that the maximum thermodynamic first law and thermodynamic second law efficiencies of the new CUS occur when the textile factory needs the highest temperatures (T27 = 96℃). The results show that when the textile sector requires water with a temperature of 96, the most exergy is destroyed. The thermodynamic evaluation shows that the proposed double-stage organic Rankine cycle can generate 5 MW output power. The results identify turbine II, evaporator I, evaporator II, and turbine I are responsible for a large part of the total exergy destruction rate of about 77.42 %. The lowest and highest exergy efficiencies belong to pump I and turbine I. The minimum exergy destruction rate occurs in the backpressure of 950 kPa and flow of cycle I of 45 kg/s. Also, the flow rate of cycle II increases the total exergy destruction rate while increasing turbine II backpressure has the opposite effect on the exergy destruction rate.
