7.17. To apply the Newton-Raphson method to the power-flow solution of the system of Figure 7.21, determine (a) the Ybus
Posted: Fri May 20, 2022 8:23 pm
7.17. To apply the Newton-Raphson method to the power-flow solution of the system of Figure 7.21, determine (a) the Ybus of the system, (b) the mismatch equation at bus evaluated at the initial voltage estimates of Table 7.10 for the first iteration, and (c) write mismatch equations in a form similar to Equation (7.55). Tarnnlednakrar fl...
+ tuo 4 Figure 7.21 System for Probs. 7.16 Through 7.20. The Line and Bus Data are Given in Tables 7.10 Through 7.13
Table 7.10 Line data for the system of Figure 7.21 Per-unit Series Z Per-unit Series Y Line Bus to Bus R х Charging Mvar G B 0 0.0108 0.0649 2.5 -15 6.6 1 0.0235 0.0941 2.5 --10 4.0 2 S 0.0118 0.0471 5.0 -20 7.0 S 0.0147 0.0588 4.0 -16 8.0 0.0118 0.0529 4.0 -18 6.0 Table 7.11 Bus data for the system of Figure 7.21 Generation Load Bus P (MW) Q (Mvar) P (MW) Q (Mvar) V p.u. 1.0120° Remark Slack bus 60 35 1.020° 3 70 42 1.020° 80 50 1.0 20° 190 65 36 1.020° PV bus Table 7.12 Transformer data for the system of Figure 7.21 Transformer bus to bus Per unit reactance Tap setting 2 - 0.04 0.975
Table 7.13 Capacitor data for the system of Figure 7.21 Bus Rating in Mvar 18 15
ӘР, ... - ӘР, Ә|VI + + + .. д8, : ӘРу до, до, Әд, ОР, ӘР, Әбу Әју, : ӘРу ӘР, двају, дQ, дQ, дду V. ӘРу alvl до, alvl . Дв, : Δδ, Дjv, ДР, : ΔΡ. ДQ II ... (7.55) + + + ha Tavald AON aQs до, aQ ƏQ 05, |V| aQs all Corrections Mismatches Kaban
Yus 5 - j25 -2.5+j15 0 -2.5+j10 0 -2.5 + j15 7.5 - 35 0 0 -5 + 20 0 4-j16 0 - 4 + 116 -2.5 +10 0 0 6.5 - 28 -4 +j18 0 -5+;20-4+j16 -4+j18 13 - 754) 0
+ tuo 4 Figure 7.21 System for Probs. 7.16 Through 7.20. The Line and Bus Data are Given in Tables 7.10 Through 7.13
Table 7.10 Line data for the system of Figure 7.21 Per-unit Series Z Per-unit Series Y Line Bus to Bus R х Charging Mvar G B 0 0.0108 0.0649 2.5 -15 6.6 1 0.0235 0.0941 2.5 --10 4.0 2 S 0.0118 0.0471 5.0 -20 7.0 S 0.0147 0.0588 4.0 -16 8.0 0.0118 0.0529 4.0 -18 6.0 Table 7.11 Bus data for the system of Figure 7.21 Generation Load Bus P (MW) Q (Mvar) P (MW) Q (Mvar) V p.u. 1.0120° Remark Slack bus 60 35 1.020° 3 70 42 1.020° 80 50 1.0 20° 190 65 36 1.020° PV bus Table 7.12 Transformer data for the system of Figure 7.21 Transformer bus to bus Per unit reactance Tap setting 2 - 0.04 0.975
Table 7.13 Capacitor data for the system of Figure 7.21 Bus Rating in Mvar 18 15
ӘР, ... - ӘР, Ә|VI + + + .. д8, : ӘРу до, до, Әд, ОР, ӘР, Әбу Әју, : ӘРу ӘР, двају, дQ, дQ, дду V. ӘРу alvl до, alvl . Дв, : Δδ, Дjv, ДР, : ΔΡ. ДQ II ... (7.55) + + + ha Tavald AON aQs до, aQ ƏQ 05, |V| aQs all Corrections Mismatches Kaban
Yus 5 - j25 -2.5+j15 0 -2.5+j10 0 -2.5 + j15 7.5 - 35 0 0 -5 + 20 0 4-j16 0 - 4 + 116 -2.5 +10 0 0 6.5 - 28 -4 +j18 0 -5+;20-4+j16 -4+j18 13 - 754) 0