A heating system for a thermal electric power station water circuit, comprising: • an extraction system for extracting water from a condenser; • a first set of heaters comprising: ∘ at least one heater (A, LP1, LP2), ∘ a water inlet (104, 12, 14), referred to as the extracted-water-for-heating inlet, fed with a first fraction of the flow of extracted water coming from the extraction system, and ∘ at least one steam input intended to heat the extracted water, and; • a second set of heaters comprising: ∘ at least one heater (B, LP3, LP4) arranged in series with respect to the extracted-water inlet (104, 12, 14) of the first set of heaters, and ∘ at least one steam input (112, 20, 21) intended to heat the extracted water; the heating system being one which comprises a condensate cooler comprising: • a first water inlet, referred to as the condensate inlet, fed by a condensate outlet of the second set of heaters; • a second water inlet fed with a complementary fraction of the extracted-water flow coming from the extraction system; • a first outlet for cooled condensate intended to be reinjected into the condenser, and; • a second outlet for heated water so that a flow of water leaving the first set of heaters can be mixed with a flow of water derived from the second outlet of the condensate cooler, characterized in that the second set of heaters comprises at least one third heater and one fourth heater arranged in cascade such that a fraction of the condensate from the steam introduced into the fourth heater is reinjected into the third heater. • an extraction system for extracting water from a condenser; • a first set of heaters comprising: ∘ at least one heater (A, LP1, LP2), ∘ a water inlet (104, 12, 14), referred to as the extracted-water-for-heating inlet, fed with a first fraction of the flow of extracted water coming from the extraction system, and ∘ at least one steam input intended to heat the extracted water, and; ∘ at least one heater (A, LP1, LP2), ∘ a water inlet (104, 12, 14), referred to as the extracted-water-for-heating inlet, fed with a first fraction of the flow of extracted water coming from the extraction system, and ∘ at least one steam input intended to heat the extracted water, and; • a second set of heaters comprising: ∘ at least one heater (B, LP3, LP4) arranged in series with respect to the extracted-water inlet (104, 12, 14) of the first set of heaters, and ∘ at least one steam input (112, 20, 21) intended to heat the extracted water; ∘ at least one heater (B, LP3, LP4) arranged in series with respect to the extracted-water inlet (104, 12, 14) of the first set of heaters, and ∘ at least one steam input (112, 20, 21) intended to heat the extracted water; • a first water inlet, referred to as the condensate inlet, fed by a condensate outlet of the second set of heaters; • a second water inlet fed with a complementary fraction of the extracted-water flow coming from the extraction system; • a first outlet for cooled condensate intended to be reinjected into the condenser, and; • a second outlet for heated water so that a flow of water leaving the first set of heaters can be mixed with a flow of water derived from the second outlet of the condensate cooler, characterized in that the second set of heaters comprises at least one third heater and one fourth heater arranged in cascade such that a fraction of the condensate from the steam introduced into the fourth heater is reinjected into the third heater.