SU149944A1 - Analog-digital computing device - Google Patents

Description

The well-known analog-digital computing devices containing comparison circuits, AND, OR and logic circuits and a reversible counter do not provide the definition of the modulus and argument of the fractionally rational functions of a complex variable and the construction of their root locus.

In the proposed device, this disadvantage is eliminated by connecting to each of the comparison circuits through phase shifters and phase splitters a variable reference voltage source and inputs intended for supplying the exponentially varying voltages under study, and connecting the outputs of the comparison circuits through OR and to the counter circuits serving to numerically compile a time interval proportional to the argument of the vector or the logarithm of its module.

The drawing shows the block diagram of the described device.

The root power generator 1 produces a periodic voltage varying according to the law Uri (t) Al. This voltage is applied to the root setting unit 2. In the root installation node, the coordinates of each root are set.

The distributor 3 connects a pair of coordinates of the voltage of one root to the subtraction node 4 at the resistors, and at the same time sets the counter reversal trigger 5 to the position corresponding to zero or pole of the root (i.e., addition or “a subtraction). The generator I power-roots begins with this new cycle. Apart from the coordinates of one root Ur (t) X, and t / ri (t) Yi, the coordinates of the interrogation point p Ur (t) X and t / n (t) Y, also powered by the generator "varying by same law. The coordinates of point p can be changed manually using block 6.

JMo 149944-2 -

At the output of the subtraction unit 4, variable voltages are obtained.

vector coordinates

f / r, (X - Xi) and Un (C-Ug)

In the comparison node containing comparison schemes 7, the block 8 marks the zero phase and the counter I produces an impulse with simultaneous equalities

f / ri (t (X - Ji) t / o coscot. 6r, (t} (V-Fi) / osincot.

If the vector argument p - 2 is determined, the digital recorder containing the reverse control trigger 5, the readout circuit 10, the reversible counter 11, the trigger 12, the generator 13 and the block 14 fixes the time interval from the moment of arrival of the comparison pulse to the moment defining the zero phase. When determining the module, the interval from the beginning of the generator cycle to the moment of comparison is fixed. Then the control unit switches the distributor. the next root, and the whole process is repeated. After polling all the roots in the counter, a number is obtained that is proportional to the phase (or logarithm of amplitude) F (p at a given point p with coordinates / (and K. The recorder has a readout circuit 10 that allows you to determine the final state of the counter.

A cathode ray tube can be used as an indicator, the deflection plates of which are supplied with voltage proportional to the coordinates of the point, and a pulse is fed to the control electrode from the reading circuit of the recorder if the specified conditions are met at point p. The outputs of the € установки manual installation unit and the readout circuit 10 are connected to the indicator 15, and the distributor 3 is connected to a counter 16 with a generator 17. Knowing the nature of the movement of the roots, you can accurately remove the entire curve with this device. If it is necessary to determine the value of the modulus F (p) at any point PI of the complex plane, you must specify p pi. Then the device needs to be switched to the amplitude determination and read the counter according to the reading circuit using the appropriate indication. The scheme of the device makes it possible to make a simple change in the scale of the analyzed part of the complex plane, for which it is necessary to increase proportionally to the coordinates of all the roots. You can also view the area near a single root on a larger scale, for which you need to combine the beginning of the coordinates with the corresponding root or any point of the plane (that is, change the coordinates of all the roots by the same value).

When viewing the initial sections of the movement of the roots, the influence of some distant roots can be disregarded, therefore these areas can also be viewed in a larger J mass, excluding some roots that go beyond the viewing area.

The described device allows one to determine the modulus and argument of a fractionally rational function for any number of complex factors and can be used to solve various problems of analyzing a complex plane, besides the problem of constructing the root hodograph, namely: solving algebraic equations, constructing phase equations. the hodographs, the construction of the Mikhailov hodograph, the growth of the amplitude-phase characteristics of the systems of automatic control and the construction of D-partitions.

subject matter

An analog-to-digital computing device containing comparison circuits, logical AND, OR and reversible counter circuits, which, in order to determine the modulus and argument of the fractionally rational functions of a complex variable and construct their root hodograph, to each of the schemes Comparison of key switches through phase shifters and phase splitters is a source of alternating voltage and inputs intended for supplying the voltages under varying exponential order, and the outputs of the comparison circuits through OR and AND circuits connected to a counter that serves to obtain in numerical form a time interval proportional to the argument of the vector or the logarithm of its module.

№ 149944

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