Page 107 - Mathematical Models and Algorithms for Power System Optimization
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New Algorithms Related to Power Flow 97
Power mismatch function (logarithmic coordinates)
Iteration number
Simulated annealing method N–R method PQ decomposition method
Optimal multiplier method
Fig. 4.2
Iteration curves of different algorithms for case study 2.
chapter and the other three algorithms. According to the tables and figures, the combined
model algorithm using the SA technique results in better convergence characteristics than
the other three methods in the case studies given in this chapter.
The probability search in solution space performed by the algorithm proposed in this chapter
requires a random number generator. Obviously, different seeds will generate different random
number sequences, which lead to different starting points and search processes. To illustrate the
effect of different seeds, seed1¼541214 and seed2¼765432 are used in case study 2
calculation. The two seeds are randomly selected. Starting from these two different seeds,
convergent solutions resulted for case study 2. Table 4.7 shows the calculation results for
case study 2 with different seeds; Fig. 4.3 shows the convergence curves obtained from
different seeds.
