# Electrotechnical Systems: Calculation and Analysis with by Igor Korotyeyev By Igor Korotyeyev

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Additional info for Electrotechnical Systems: Calculation and Analysis with Mathematica and PSpice

Sample text

02},AxesLabel_{“t”,”u i”}] The Plot[] function plots the graphs of the functions, which are represented in the list {XT[],e[t],XT[]}. 2. 02. 02}. During XT calculation, Mathematica determines itself that this expression is a vector and calculates its dimension. The extraction of the vector element is produced by means of writing XT[], that is, the first element of the vector, which determines the current in this case, is chosen. The option AxesLabel->{“t”,”u i”} points to the necessity of output of symbols t and u i along the abscissa and ordinate axes.

In the on state, the transistor and diode have equal resistances. 9. 11) where i X (t) = ; A1 = u − R1 L 0 − 0 1 ; B1 = L ; R1 = Ri + Rt ; 0 1 RC Rt is the resistance of the transistor in on state, and Ri is the resistance of the inductor. 9 The equivalent circuit of the converter. The transistor is on, and the diode is off. 10 The equivalent circuit of the converter. The transistor is off, and the diode is on. 10. 12) where A2 = − R2 L 1 C 1 L ; B2 = B1 ; R2 = Ri + Rd ; 1 − RC − Rd is the resistance of the diode in the on state; R2 = R1 .

To form the finite series, we should write Sum[1/(1+a*n),{n,1,4}] It is expedient to use the For[ ] function for repeating operations with matrices and vectors. 1  A=  ; B =  −6  . − . 9632}, {−5}} The same results can be obtained with the help of the Do[ ] function. With the presence of a condition, repeating calculations can be realized by means of the While[ ] function. 1) where X is the vector of state variables, e(t) is the forcing function, A is the matrix, and B is the vector with constant elements.