New PDF release: Modern Optimization Techniques with Applications in Electric

By Soliman Abdel-Hady Soliman, Abdel-Aal Hassan Mantawy

ISBN-10: 1461417511

ISBN-13: 9781461417514

This booklet provides the applying of a few AI comparable optimization recommendations within the operation and keep an eye on of electrical energy platforms. With sensible purposes and examples using useful research, simulated annealing, Tabu-search, Genetic algorithms and fuzzy platforms for the optimization of strength platforms is mentioned intimately. initial mathematical techniques are offered earlier than relocating to extra complex fabric.

Researchers and graduate scholars will make the most of this e-book. Engineers operating in application businesses, operations and keep watch over, and source administration also will locate this e-book invaluable. ​

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Example text

Fuzzy mathematics provides the starting point and basic language for fuzzy systems and fuzzy control. Understandably, only a small portion of fuzzy mathematics has found applications in engineering. Fuzzy logic implements experience and preferences through membership functions. The membership functions have different shapes depending on the designer’s preference and experience. Fuzzy rules may be formed that describe relationships linguistically as antecedent-consequent pairs of IF–THEN statements.

For each x in the range of T, there exists a unique element ux ∈ B that satisfies x ¼ Tu while minimizing the objective functional JðuÞ ¼ ku À ^ uk The unique optimal ux ∈ B is given by ux ¼ Tþ ½x À T^ uŠ þ ^u where the pseudoinverse operator T + in the case of Hilbert spaces is given by T þ x ¼ T à ½TT à Š À 1 x provided that the inverse of TT * exists. The theorem as stated is an extension of the fundamental minimum norm problem where the objective functional is J ð uÞ ¼ kuk The optimal solution for this case is ux¼Tþ x with T + being the pseudoinverse associated with T.

We are generally unaware of this because ordinary language is, of course, something we use every day. Because fuzzy logic is built atop the structures of qualitative description used in everyday language, fuzzy logic is easy to use. Fuzzy logic is not a cure-all. When should you not use fuzzy logic? The safest statement is the first one made in this introduction: fuzzy logic is a convenient way to map an input space to an output space. If you find it’s not convenient, try something else. If a simpler solution already exists, use it.

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Modern Optimization Techniques with Applications in Electric Power Systems by Soliman Abdel-Hady Soliman, Abdel-Aal Hassan Mantawy


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