Bus To Bus Case Study Solution

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Figure 3.2 shows the system under study, where line data are given in Table 3.1, and losses are neglected. Table 3.1 Line data for 3 bus system Line From Bus To Bus Reactance Limit(p.u) 1 1 2 0.25 2.0 2 1 3 0.25 2.0 3 2 3 0.25 2.0 G1 at 10 $/MWh 0 ≤ P_g1≤ 6.0 2 L_2 = 1.8 p.u G2 at 20 $/MWh 1 0 ≤ P_g3≤ 2.0 3 L_3 = 3.2 p.u Figure 3.2 System configuration Figures 3.3 and 3.4 show the solutions for two cases: when line 1–3 is unconstrained and when the line 1-3 is constrained. For the unconstrained case, we note that only generator G1 is dispatched and it sets the marginal price at 10 $/MWh. In this case, LMP1 = LMP2 = LMP3 = 10 $/MWh, since the system is unconstrained. The price set by G1 acts as a market clearing price. …show more content…

As a result, LMP values become different at each bus. LMP2 (15 $/MWh) is obtained as follows: if the demand at bus 2 were to increase by 1 MW (0.01 p.u.), MW would not be completely supplied by G1 because the constraint in line 1–3 prevents additional power from being generated at bus 1 and delivered to bus 2. Sending additional power over line 1–2 could increase the flow on line 1–3 as well. Therefore, bus 2 must receive the remaining energy from G3, and thus these generators (G1 and G3) become the marginal units for the system as they control the flow on line

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