“…In essence, higher ΔTon and ΔToff setpoints tend to reduce pump use by causing fluid circulation to start later and stop earlier, respectively, than they would otherwise, which tends to negatively influence the thermal energy collected although not necessarily in a monotonic way, while small deadbands (ΔTon -ΔToff) tend to exacerbate pump cycling (Schiller et al, 1980;Winn, 1983;Hirsch, 1985;Kahwaji and Winn, 1986;Muralidhar et al, 1989). Magnitude-wise, modest ΔTon setpoint increases (5-10 K) relative to low initial setpoints (2-5 K) have been estimated to decrease the daily thermal energy collection efficiency by as much as 26% (absolute), though most severely for low yield days, while shortening pump running times by 3-69% (relative) (Schiller et al, 1980;Kahwaji and Winn;1986;Huang, 1994). In turn, Hirsch (1985) argued the thermal performance sensitivity to ΔToff was low for typical setpoints around 1 K while Muralidhar et al (1989) summarised experiments suggesting a higher sensitivity to ΔToff than to ΔTon.…”