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From
Studies of Contingencies in Power Systems through a Geometric Parameterization Technique, Part II: Performance Evaluation
Bonini Neto A., Alves D. A.
World Journal Control Science and Engineering
.
2014
, 2(1), 25-34
Fig
ure
1
. Definition for loading margin of pre and post-contingency
Full size figure and legend
Fig
ure
2
. Definition of operation limit using P-V curves
Full size figure and legend
Fig
ure
3
. Performance of the method for the IEEE-14 bus system: (a) voltage magnitude of the critical bus (V
14
) in function of λ, (b) number of iterations for the proposed method and conventional PF, (c) determinants of the matrix
J
and
J
m
, (d) P-V curve of all system buses for contingency N-0
Full size figure and legend
Fig
ure
4
. Performance of the method for the IEEE-14 bus system: (a) voltage magnitude of the critical bus (V
14
) in function of λ for contingency N-2, (b) number of iterations for the proposed method, (c) P-V curve of all system buses for the contingency N-2 (outage of the TL between the buses 1 and 2), (d) voltage magnitude of the bus PQ (V
14
) in function of λ with insertion of the capacitor bank of 35.281 MVAr
Full size figure and legend
Fig
ure
5
. Diagram of the IEEE-14 bus system with the contingencies N-2 and N-1
Full size figure and legend
Fig
ure
6
. Performance of the method for the IEEE-14 bus system: (a) voltage magnitude of the PV bus (V
2
) in function of λ for contingency N-1, (b) number of iterations for the proposed method, (c) voltage magnitude of the PQ bus (V
13
) in function of λ, (d) P-V curve of all system buses for the contingency N-1 (outage of the TL between the buses 2 and 3)
Full size figure and legend
Fig
ure
7
. Performance of the method for the IEEE-14 bus system: (a) voltage angles of the critical bus (θ
14
) in function of λ, (b) number of iterations for the proposed method and conventional PF, (c) determinants of the matrix
J
and
J
m
, (d) P-V curve of all system buses for contingency N-0
Full size figure and legend
Fig
ure
8
. Performance of the method for the IEEE-14 bus system: (a) voltage angles of the critical bus (θ
14
) obtained in function of λ for contingency N-2, (b) number of iterations for the proposed method
Full size figure and legend
Fig
ure
9
. Performance of the method for the IEEE-14 bus system: (a) voltage angles of the load bus (θ
5
) in function of λ for contingency N-2, (b) number of iterations for the proposed method using the equations (4) and (5) of Part I of this paper
Full size figure and legend
Fig
ure
10
. Performance of the method for the IEEE-14 bus system: (a) voltage angles of the load bus (θ
4
) in function of λ for contingency N-1, (b) P-V curve of pre (N-0) and post (N-1) contingency of the load bus 14, (c) number of iterations
Full size figure and legend
Fig
ure
11
. Performance of the method for the IEEE-30 bus system: (a) voltage magnitude of the critical bus (V
30
) in function of λ, (b) number of iterations for the proposed method and conventional PF, (c) P-V curve of all system buses for contingency N-0
Full size figure and legend
Fig
ure
12
. Diagram of the IEEE-30 bus system with the contingencies N-2 and N-1
Full size figure and legend
Fig
ure
13
. Performance of the method for the IEEE-30 bus system: (a) voltage magnitude of the critical bus (V
30
) in function of λ for contingency N-2, (b) number of iterations for the proposed method
Full size figure and legend
Fig
ure
14
. Performance of the method for the IEEE-30 bus system: (a) voltage magnitude of the generation bus (V
2
) in function of λ for contingency N-1, (b) P-V curves of pre-contingency (N-0) and post-contingency (N-1) of the load buses 30 (green points), 5 (blue points) and 2 (red points), (c) number of iterations
Full size figure and legend
Fig
ure
15
. Performance of the method for the IEEE-30 bus system: (a) voltage angles of the critical bus (θ
30
) in function of λ, (b) number of iterations for the proposed method, (c) P-V curve of all system buses for contingency N-0
Full size figure and legend
Fig
ure
16
. Performance of the method for the IEEE-30 bus system: (a) voltage angles of the load bus (θ
3
) in function of λ for contingency N-2, (b) λ-θ curves of pre-contingency (N-0) and post-contingency (N-2) of the buses 3 (green points), 2 (blue points) and 30 (red points), (c) P-V curves of pre-contingency (N-0) and post-contingency (N-2) of the buses 2 (blue points) and 30 (red points), (d) number of iterations
Full size figure and legend
Fig
ure
17
. Performance of the method for the IEEE-30 bus system: (a) voltage angles of the load bus (θ
9
) in function of λ for contingency N-1, (b) P-V curves of pre-contingency (N-0) and post-contingency (N-1) of the buses 2 (green points) and 30 (red points), (c) number of iterations
Full size figure and legend