## Figures index

#### From

#### Studies of Contingencies in Power Systems through a Geometric Parameterization Technique, Part II: Performance Evaluation

*World Journal Control Science and Engineering*.

**2014**, 2(1), 25-34

**Fig****ure****1**. Definition for loading margin of pre and post-contingency

**Fig****ure****2**. Definition of operation limit using P-V curves

**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****J**_{m}, (d) P-V curve of all system buses for contingency N-0

**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

**Fig****ure****5**. Diagram of the IEEE-14 bus system with the contingencies N-2 and N-1

**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)

**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****J**_{m}, (d) P-V curve of all system buses for contingency N-0

**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

**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

**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

**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

**Fig****ure****12**. Diagram of the IEEE-30 bus system with the contingencies N-2 and N-1

**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

**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

**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

**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

**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