| Based on the field theory of sinusoidal-steady state, this paper extended field theory to non-sinusoidal-steady state, and constructed a universal field theory for these two different situations. Furthermore, it is proposed that the two systems of integral equations in non-sinusoidal-steady state of nonlinear network are fundamental equations for the field theory, in other words, those are applicable to all linear or nonlinear lumped-parameter networks under the quasi-static condition. This paper contains four chapters. Chapter 1 and 2 are focused on linear and nonlinear networks of non-sinusoidal-steady state, respectively. Each of these two chapters derived two systems of integral equations of linear or nonlinear network in the non-sinusoidal-steady state, by starting from the real-time form Maxwell equations and electromagnetic property equations. Subsequently, basic theoretical contents of field theory were deduced, which include the new forms of Kirchhoffs voltage law and current law in the non-sinusoidal-steady state of linear and nonlinear networks, the equations of branch characteristic including mutual-conductance, and the general characteristic equations of four fundamental electronic elements. Chapter 3 is devoted to integrating the field theory of linear and nonlinear networks for sinusoidal-steady state into that for non-sinusoidal-steady state. In this chapter, three important components of field theory of network were discussed: fundamental equations of field theory, transforming Kirchhoffs law from real-time form to complex form, and unifying general characteristic equations of four fundamental electronic elements in non-sinusoidal-steady state with those in sinusoidal-steady state. Chapter 4 treats the applications of generalized Biot-Savart law. In this chapter, there are three examples, which can be employed in the practical engineering to evaluate the influence of medium anisotropy on the magnetic field distribution. |
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