US 4,306,296 AGranted

Converter for changing Cartesian vector variables into polar vector variables

AssigneeSiemens Aktiengesellschaft

InventorFelix Blaschke

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Abstract

A coordinate converter useful for field-oriented control of a rotating-field machine includes a divider, a first adder, a multiplier and a second adder by which the magnitude of the vector and the tangent of the half-angle relative to one axis can be determined. An ancillary unit forms an angle-proportional variable from the half-angle tangent. A rotating vector can also be processed.

Claims18

Dependent claims

A coordinate converter for changing first and second given variables, corresponding to the Cartesian coordinates of a vector, into at least one third variable corresponding to the angle coordinate of the vector represented in polar coordinates, for the case where the magnitude coordinate of the input vector represented in polar coordinates is constant, comprising:

a first divider having a dividend input, a divisor input and an output;
a first adder having two inputs and an output;
a second adder having two inputs and an output;
and
first, second and third proportional members;
in which the second variable is fed to the dividend input of the first divider via the first proportional member and the output signal of the first adder is fed to the divisor input of the first divider;
the first variable and a constant are applied to the first adder;
the output signal of the first divider is fed to the second adder via the second proportional member, and a signal derived from the second variable is fed to the second adder via the third proportional member;
and the output variable of the second adder is taken off as an angle variable.

6 more elements

A coordinate converter for changing first and second signals, as variables corresponding to the Cartesian coordinates of a vector, into at least one signal, as a variable, proportional to the angle coordinate of the vector represented in polar coordinates, comprising:

a first divider having a divisor input, a dividend input, and an output;
a first adder having at least two inputs and an output;
a multiplier having a first input, a second input, and an output;
a second adder having a least two inputs and an output;
first and second proportional elements;
third and fourth adders, each having a first input, a second input and an output;
third, fourth, and fifth proportional elements;
and
a second divider having a divisor input, a dividend input, and an output;
in which the second signal is fed to the dividend input of the first divider via the first proportional element and the signal at the output of the first adder is fed to the divisor input of the first divider;
the first signal and the signal at the output of the second adder are fed to inputs of the first adder;
the signal at the output of the first divider represents a third variable and is fed to the first input of the multiplier;
the second signal is fed to the second input of the multiplier;
the first signal is fed to the first input of the second adder;
the signal at the output of the multiplier is fed via the second proportional element to the second input of the second adder;
the output signal of the second adder is taken off as a fourth variable corresponding to the magnitude coordinate of the vector fixed in polar coordinates;
the signal representing the third variable is fed to the first input of the third adder via the third proportional element;
the output of the second divider is fed via the fourth proportional element to the second input of the third adder;
the output of the fourth adder is supplied to the divisor input of the second divider;
the second variable is applied to the dividend input of the second divider;
the signal representing the fourth variable is fed to the first input of the fourth adder;
the signal representing the first variable is fed, via the fifth proportional element to the second input of the fourth adder;
and
a signal proportional to the angle coordinate of the vector is taken off the output of the third adder.

21 more elements

A converter for forming at least one signal as as angle-like variable corresponding to the difference between angles, expressed in polar coordinates, of first and second vectors, expressed in Cartesian coordinates, comprising:

a first coordinate converter for changing first and second input signals as variables corresponding to the Cartesian coordinates of the first vector into a first output variable corresponding to the magnitude coordinate of the first vector in polar coordinates and into a first angle-like variable, corresponding to the angle coordinate of the first vector represented in polar coordinates, comprising:
a divider having a divisor input, a dividend input, and an output,
a first adder having at least two inputs and an output,
a multiplier having first and second inputs and an output, and
a second adder having at least two inputs and an output,
in which the second signal is fed to the dividend input of the divider and the signal at the output of the first adder is fed to the divisor input of the divider,
the first signal and the signal at the output of the second adder are fed to inputs of the first adder,
the signal at the output of the divider is fed to the first input of the multiplier and comprises the first angle-like variable;
and
the second signal is fed to the second input of the multiplier,
the first signal and the signal at the output of the multiplier are fed to the inputs of the second adder, and
the output of the second adder comprises the first output variable;
a second coordinate converter, identical to the first coordinate converter, for changing first and second input signals as variables corresponding to the Cartesian coordinates of the second vector into a second output variable corresponding to the magnitude coordinate of the second vector in polar coordinates and into a second angle-like variable corresponding to the angle coordinate of the second vector represented in polar coordinates;
and
a subtractor having at least two inputs and an output,
the first and second angle-like variables being fed to the inputs of the subtractor, and
the output of the subtractor comprising the signal as an angle-like variable corresponding to the difference between the angles of the first and second vectors.

14 more elements

A coordinate converter for conversion of a rotating vector expressed as first and second signals, as variables corresponding to the Cartesian coordinates of the vector, into at least one signal, as a third, angle-like, variable corresponding to the angle coordinate of the vector represented in polar coordinates, comprising:

a rectifier having an input to which a bipolar first variable is applied and an output at which a unipolar first variable is taken off;
a divider having a divisor input, a dividend input, and an output;
a first adder having at least two inputs and an output;
a multiplier having first and second inputs and an output;
and
a second adder having at least two inputs and an output;
the second signal being fed to the dividend input of the divider and the signal at the output of the first adder being fed to the divisor input of the divider;
the unipolar first variable signal and the signal at the output of the second adder being fed to inputs of the first adder;
the signal at the output of the divider being taken off as the third variable and being fed to the first input of the multiplier;
the second signal being fed to the second input of the multiplier;
the unipolar first variable signal and the signal at the output of the multiplier being fed to the inputs of the second adder;
and
the output signal of the second adder being taken off as a fourth variable corresponding to the magnitude coordinate of the vector fixed in polar coordinates.

10 more elements

A coordinate converter for forming a signal representing the difference between the angles, expressed in polar coordinates, of first and second vectors, expressed in Cartesian coordinates, comprising:

first and second converters, each comprising;
a first divider having a divisor input, a dividend input, and an output;
a first adder having at least two inputs and an output;
a multiplier having a first input, a second input, and an output;
a second adder having at least two inputs and an output;
first and second proportional elements;
third and fourth adders, each having a first input, a second input and an output;
third, fourth, and fifth proportional elements;
and
a second divider having a divisor input, a dividend input, and an output;
in which the second signal is fed to the dividend input of the first divider via the first proportional element and the signal at the output of the first adder is fed to the divisor input of the first divider;
the first signal and the signal at the output of the second adder are fed to inputs of the first adder;
the signal at the output of the first divider represents a third variable and is fed to the first input of the multiplier;
the second signal is fed to the second input of the multiplier;
the first signal is fed to the first input of the second adder;
the signal at the output of the multiplier is fed via the second proportional element to the second input of the second adder;
the output signal of the second adder is taken off as a fourth variable corresponding to the magnitude coordinate of the vector fixed in polar coordinates;
the signal representing the third variable is fed to the first input of the third adder via the third proportional element;
the output of the second divider is fed via the fourth proportional element to the second input of the third adder;
the output of the fourth adder is supplied to the divisor input of the second divider;
the second variable is applied to the dividend input of the second divider;
the signal representing the fourth variable is fed to the first input of the fourth adder;
the signal representing the first variable is fed, via the fifth proportional element to the second input of the fourth adder;
a signal proportional to the angle coordinate of the vector being taken off the output of the third adder;
and
a subtractor having two inputs and an output;
first and second signals, as variables representing the Cartesian coordinates of the first vector, being fed to the first converter;
first and second signals, as variables representing the Cartesian coordinates of the second vector, being fed to the second converter;
the signal proportional to the angle coordinate of the vector is fed from the output of each third adder to one input of the subtractor;
and
a signal proportional to the difference of the angles of both vectors, being taken off at the output of the subtractor.

28 more elements

Dependencies are inferred from the claim text.

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