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Savini (1996). Inverse Problems and Optimal Design in Electricity and Magnetism, Oxford:Claredon Press. 3. M. Korn (2000). Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. New YorkiDover Publication. 4. , W. H. Wright (1995). Practical Optimization. London: Academic Press. 5. , A. M. Ragsdell (1983). Engineering Optimization. New York: John Wiley and Sons. 6. , and V. Arsenin (1977). Solutions of ill-posed problems. :Winston. 7. Benenson, Z.

1, synthesis problems are frequently referred to as problems of optimization. Statement and solution of inverse problems in connection with calculation of electromagnetic fields are of interest for designing, manufacturing and modernization of electrical devices such as electrophysical facilities, electrical machines and equipment, high-voltage installations, induction heating apparatus, etc. [2]. Inverse problems to be solved in these areas can be divided into two groups: search of spatial and time-dependent distributions of field sources.

Objective functionals /] and h are interconnected. Let's assume, for example, that the pole's shape provides maximum magnetic flux through the line de. Reducing the pole weight P, the magnetic flux through the line de de- The Methods of Optimization of Problems and Their Solution 49 creases and at the limit I^ = P = 0 when there is no pole, we have /j =-0Q/2 (at de=cd), that is field focusing does not occur. e. at a certain pole shape. Solutions can satisfy one or both criteria but not in full measure.