Stochastic Dynamic Programming Applied to Hydrothermal Power Systems Operation Planning Based on the Convex Hull Algorithm

Table 4

Stage 3 expected costs.

Water storage; discretization (%)		100		50		0
Water inflow (hm^3)		14	10	14	10	14	10
Optimal decision	$x_{t+1}$	64	60	14	10	0	0
	$u$	50	50	50	50	14	10
	$t{g}_1$	0	0	0	0	20	20
	$t{g}_2$	0	0	0	0	12.4	16
	Uns	0	0	0	0	0	0
Immediate cost ($)		0.0	0.0	0.0	0.0	448.0	520.0
Mean optimal cost ($)		0		0		484.0

where x_t+1 reservoir storage at the end of stage t (hm³); U water discharge in stage t (hm³); tg₁ thermal plant 1 generation (MW-month); tg₂ thermal plant 2 generation (MW-month); Uns unsupplied load (MW-month).