5.3. Draw an impedance diagram for the electric power system as shown in Fig. 5.34, and all impedances in per-unit on a 100 MVA base. Select 20 kV base voltage for generator. The three-phase power anc line ratings are given below. G1: 90 MVA, 20 kV, xg1 G2 : 90 MVA, 18 kV, x = 0.09 pu T1: 80 MVA, 20/200 kV, xu = 0.16 pu T2 : 80 MVA, 200/20 kV, x2 = 0.20 pu Line : 200 kV, xine = 120 Load : 200 kV, S= (48 + j64)MVA. = 0.09 pu Line V LOAD Fig. 5.34: Single line diagram for problem 5.3.

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Maximum power transfer theorem

A resistive load will consume maximum power from a network when the load resistance is equal to the resistance of the network as viewed from the open-circuit terminals, with all energy sources removed leaving only the internal resistances. Physicist Moritz von Jacobi introduced the maximum power transfer theorem in 1940. Therefore, this theorem is also known as Jacobi's law.