Parameter

Description

Value

$V_{\text{lagoon\_storage}}$

storage capacity of the lagoon (days)

35

HRT

hydraulic retention time (days)

20

n

number of livestock

500 cows

$n_{\text{day}}^m$

number of days in a month

varies

$P_{\text{rated}}$

rating of the induction machine (hp)

150

$LH{V}_{\text{propane}}$

lower heating value of propane (kJ/kg)

46,300 [30]

$T_{\text{water}}$

water temperature (˚C)

35

${\eta }_{\text{HEX}}$

heat exchanger efficiency (%)

70

${\eta }_{\text{rated}}$

boiler efficiency (%)

70

$c_{\text{lagoon}}$

unit cost of lagoon (USD/m³)

2.47 [31]

$c_{\text{propane}}$

unit cost of propane (USD/m⁺)

1.98 [32]

$c_{\text{incentive}}$

unit cost of incentives (USD/kWh)

0.07 [33]

$n^{\text{rand\_div}}$

consecutive random moves (diversification Strategy D1)

5

$n^{\text{nonimprov\_div}}$

consecutive non-improving moves to apply diversification

5

$n^{\text{restart\_div}}$

restarts with incumbent solution (diversification Strategy D2)

3

max_­iter­_div

number of iterations for application of diversification

100

${\delta }_{\text{h}}$

allowance for heat demand constraint (kW)

10

max­_iter

number of iterations for the stopping condition

150

max_iter_opt

number of iterations for the minimisation of cost

50

max_iter_feas

number of iterations for the minimisation of infeasibility

25

max_iter_div

number of iterations for the application of diversification

100 (cows data)

$S^{\text{infeas}}$

threshold of infeasibility

Varies

$S_0^{\text{infeas}}$

initial threshold of infeasibility

varies