阅读说明：本技术 一种旋转相量的合成方法 (Synthetic method of rotating phasor ) 是由 颜湘武 彭维锋 贾焦心 于 2021-08-20 设计创作，主要内容包括：本发明涉及了一种旋转相量的合成方法,它适用于电气旋转相量变换技术领域,特别针对电气旋转相量的分解与合成问题。该方法通过调节两个幅值恒定的分旋转相量的初相位,进而合成幅值和初相位均可调的目标旋转相量,具有分旋转相量生成容易、灵活性好、可靠性高等特点。本发明主要利用矢量运算的平行四边形法则,将幅值和初相位均需调节的目标旋转相量的生成问题降维为两个幅值恒定、相位可调的分旋转相量的合成问题,降低分旋转相量的生成难度,解决简单旋转相量合成复杂旋转相量的难题。本发明提供的技术方案是通过电磁变换方式形成简单分旋转相量,为复杂旋转相量的合成提供一种新的思路。(The invention relates to a synthetic method of rotating phasor, which is suitable for the technical field of electric rotating phasor transformation, and particularly aims at the decomposition and synthesis problems of the electric rotating phasor. The method synthesizes the target rotating phasor with adjustable amplitude and initial phase by adjusting the initial phases of the two sub rotating phasors with constant amplitude, and has the characteristics of easy generation of the sub rotating phasor, good flexibility, high reliability and the like. The method mainly utilizes the parallelogram rule of vector operation to reduce the dimension of the generation problem of the target rotating phasor of which the amplitude and the initial phase are required to be adjusted into the synthesis problem of two partial rotating phasors of which the amplitudes are constant and the phases are adjustable, reduces the generation difficulty of the partial rotating phasors, and solves the problem of synthesizing the complex rotating phasors by using simple rotating phasors. The technical scheme provided by the invention is that simple sub-rotating phasors are formed in an electromagnetic transformation mode, and a new thought is provided for synthesis of complex rotating phasors.)

1. A synthetic method of rotating phasor mainly utilizes a parallelogram rule of vector operation to synthesize target phasor with amplitude and initial phase needing to be adjusted arbitrarily by two amplitude-invariant phase-splitting phasors with continuously adjustable phases, thereby reducing the generation problem of the target rotating phasor with amplitude and initial phase needing to be adjusted into the synthetic problem of the two amplitude-invariant phase-splitting phasors with continuously adjustable phases; the method for synthesizing the target phasor with adjustable amplitude and initial phase by continuously adjusting the initial phases of the two phasors with constant amplitude has the characteristics of easy generation of the phasors, good flexibility, high reliability and the like.

2. The synthetic method of rotating phasor according to claim 1, characterized in that: the two phasors with proper amplitude can be selected according to the situation, and the synthesis method comprises the following specific operation steps:

A. the method for synthesizing phasor assumes target phasor as voltage phasorTwo phase separation amounts are respectivelyAnd the amplitude of the two phasors has a difference of k times, namely U₁＝kU₂And k is more than or equal to 1, and when k is equal to 1, the amplitudes of the two phasors are considered to be equal, and the target phasor is synthesized

B. Method for decomposing phasor by finding phase angle of two phasorsThe specific calculation process is as follows:

1) assuming a target voltage phasorAnd amount of phase separationHas a phase angle difference of theta and phase separation amountHas a phase angle difference of delta, and adopts a coordinate mode to carry out phase angle correction on the target phasorWith two phase separation amountsCarrying out representation; note the bookAnd is Wherein x₀,y₀,ΔU,Are all known;then Wherein U is₁The method comprises the following steps of (1) knowing;thenWherein U is₂The method comprises the following steps of (1) knowing;

2) the relationship according to phasor synthesis can be found as follows:

3) substituting formula (2) into formula:and unfolded to obtain:

4) two cases are considered for equation (3):

when y₀Not equal to 0, due toThus, the formula (3) can be simplified and arranged to be represented by x₂Denotes y₂In the form of:

order toSubstituting formula (4) into formula:and unfolded to obtain:

solving the quadratic equation of the first order on the formula (5) to obtain x₂X is to be₂Substituting the value of (into x)₁＝x₀-x₂Can find x₁；

When y₀When 0, y is obtained₁+y₂When the value is equal to 0, the following steps are performedAndsubtracting the two equations to obtain:

x can be obtained by solving equation (6)₁,x₂The values of (A) are:

5) in both cases, x can be solved by₁,x₂Obtaining initial phase angles of two phasorsRespectively as follows:

angle theta between two partial phasors and target phasor_,δ is respectively:

target phasor synthesized by two fractional phasorsThe range of the amplitude value delta U is Initial phase angle ofThe variation range of (A) is 0-360 degrees; two angle variables theta need to be controlled by a synthetic method of two phasors_,Delta to reversely adjust the initial phase of the two-phase component。

3. The synthetic method of rotating phasor according to claim 1 and claim 2, characterized in that: the phasor synthesizes a target rotating phasor through two rotating phasors with equal or unequal amplitudes; the synthesis method can realize the accurate and continuous control of the amplitude and the phase angle of the target rotating phasor;

when the amplitude size ratio k of the two phasors is 1, only one phase angle variable theta is required to be obtained to respectively adjust the initial phases of the two phasors in opposite directions, the control method is simple and convenient, and the range of the target phasor amplitude delta U is-2U₁～+2U₁The adjusting range is large; when the amplitude size ratio k of the phasor gradually increases, the adjustment range of the target phasor amplitude delta U gradually decreases, and two phase angle variables theta need to be controlled_,Delta to adjust the respective phase angles of the two phase-separated quantities, the control and calculation are relatively complex, and the phase quantity of the original voltage is adjustedOf relatively small amplitudeA large angle change is required, i.e. the phase angle change rate delta% is large, so that the phase separation amount can be increasedThe fine tuning can improve the control precision.

Technical Field

The invention belongs to the technical field of electric phasor transformation, and particularly aims at solving and synthesizing problems of electric phasors.

Background

In engineering practice, in order to meet the requirement of omni-directional adjustment of the amplitude and initial phase of voltage or current phasors, it is necessary to study phasor generation or synthesis methods. The target phasor which is required to be adjusted in all directions to generate the amplitude and the initial phase by adopting the power electronic conversion technology has the characteristics of strong flexibility, high accuracy and the like, but the pure power electronic conversion system has the defects of poor tolerance, weak shock resistance, high cost and the like, so the pure power electronic conversion system is difficult to popularize and apply under severe meteorological conditions and electromagnetic environments.

Therefore, it is necessary to invent a method for reducing the dimension of the generation problem of the target phasor whose amplitude and initial phase need to be adjustable into the synthesis problem of two phasors whose amplitudes are constant and phases are adjustable, thereby reducing the generation difficulty of the phasors and solving the problem of synthesizing complex phasors by using simple phasors. Simple phasors are formed in an electromagnetic transformation mode, and a new idea is provided for synthesis of complex phasors.

Disclosure of Invention

The invention mainly provides a method for synthesizing target phasors of which both the amplitude and the initial phase need to be changed at will, which has the basic idea that the target phasors of which both the amplitude and the initial phase need to be adjusted at will are synthesized by two component phasors by utilizing a parallelogram rule of vector operation; the invention mainly provides a method for solving the two phasors, and the two phasors are characterized by constant amplitude and continuously adjustable phase, so that the generation problem of the target phasor with the amplitude and the initial phase needing to be adjustable is reduced to the synthesis problem of the two phasors with constant amplitude and continuously adjustable phase. The method for synthesizing the target phasor with adjustable amplitude and initial phase by continuously adjusting the initial phases of the two phasors with constant amplitude has the characteristics of easy generation of the phasors, good flexibility, high reliability and the like.

The innovative thinking of the technical scheme and the beneficial effects of the invention are as follows:

1. the synthetic method of the rotating phasor reduces the dimension of the generation problem of the target phasor of which the amplitude and the initial phase are required to be adjustable into the synthetic problem of two fractional phasors of which the amplitudes are constant and the phases are continuously adjustable, and has the advantages of easy engineering realization and high value.

2. The synthetic method of the rotating phasor provided by the invention can synthesize the target phasor with adjustable amplitude and initial phase by continuously adjusting the initial phase of the two phasors with constant amplitude.

3. The technical scheme provided by the invention can select the amplitude proportion of the phasor according to different application scenes. When the control precision requirement is high, two phasors with large amplitude difference can be selected in the range to synthesize the target phasor; when the control is relatively simple, two phase splitting quantities with equal amplitude values can be selected in the range of the measuring range to synthesize the target phasor.

Drawings

FIG. 1 is a schematic diagram of the principle of the method for synthesizing a target phasor by using two phasors according to the present invention.

FIG. 2 shows that when two phasors are used to synthesize a target phasor, the variation of the target phasor amplitude Δ U at different ratios of the phasor amplitudes is applied to the phase of the rotating phasorsAnd rate of change thereofInfluence characteristic curve of (1).

Detailed Description

The technical solution of the present invention is further described below, but the scope of the claimed invention is not limited to the described.

Referring to fig. 1, fig. 1 is a schematic diagram of a method for synthesizing a target phasor by using two phasors according to the present invention. The method is characterized in that: the two phasors with proper amplitude can be selected according to the situation, and the synthesis method comprises the following specific operation steps:

A. the method for synthesizing phasor assumes target phasor as voltage phasorTwo phase separation amounts are respectivelyAnd the amplitude of the two phasors has a difference of k times, namely U₁＝kU₂And k is more than or equal to 1, and when k is equal to 1, the amplitudes of the two phasors are considered to be equal, and the target phasor is synthesized

B. Method for decomposing phasor by finding phase angle of two phasorsThe specific calculation process is as follows:

1) assuming a target voltage phasorAnd amount of phase separationHas a phase angle difference of theta and phase separation amountHas a phase angle difference of delta, and adopts a coordinate mode to carry out phase angle correction on the target phasorWith two phase separation amountsAnd (4) performing representation. Note the bookAnd is Wherein x₀,y₀,ΔU,Are all known;then Wherein U is₁The method comprises the following steps of (1) knowing;thenWherein U is₂Are known.

2) The relationship according to phasor synthesis can be found as follows:

3) substituting formula (2) into formula:and unfolded to obtain:

4) two cases are considered for equation (3):

when y₀Not equal to 0, due toThus, the formula (3) can be simplified and arranged to be represented by x₂Denotes y₂In the form of:

order toSubstituting formula (4) into formula:and unfolded to obtain:

solving the quadratic equation of the first order on the formula (5) to obtain x₂X is to be₂Substituting the value of (into x)₁＝x₀-x₂Can find x₁。

When y₀When 0, y is obtained₁+y₂When the value is equal to 0, the following steps are performedAndsubtracting the two equations to obtain:

x can be obtained by solving equation (6)₁,x₂The values of (A) are:

5) in both cases, x can be solved by₁,x₂Obtaining initial phase angles of two phasorsRespectively as follows:

angle theta between two partial phasors and target phasor_,δ is respectively:

target phasor synthesized by two fractional phasorsThe range of the amplitude value delta U is Initial phase angle ofThe variation range of (A) is 0-360 degrees. Two angle variables theta need to be controlled by a synthetic method of two phasors_,Delta to inversely adjust the initial phase of the two-component phasor.

Referring to fig. 2, fig. 2(a) -2(d) are diagrams respectively illustrating the rotation of the phasor phase by selecting the change of the target phasor amplitude Δ U under the condition of different amplitude proportions k of the phasors when the target phasor is synthesized by using two phasors according to the present inventionAnd rate of change thereofInfluence characteristic curve of (1). Assuming a target phasor initial phaseKeeping the phase splitting quantity constant, wherein the variable quantity of the amplitude delta U is 1000-1500VAmplitude of U₁At 1000V, the other phase separation amountAmplitude of U₂The variation is 700-1000V. Wherein, when k is 1, the phase splitting is equivalent to the equal amplitudeAmount of the compound (A).

When the amplitude size ratio k of the phasors is 1, only one phase angle variable theta is required to be obtained to respectively adjust the initial phases of the two phasors in opposite directions, the control method is simple and convenient, and the range of the target phasor amplitude delta U is-2U₁～+2U₁The adjusting range is large; when the amplitude size ratio k of the phasor gradually increases, the adjustment range of the target phasor amplitude delta U gradually decreases, and two phase angle variables theta need to be controlled_,Delta to adjust the respective phase angles of the two phase-separated quantities, the control and calculation are relatively complex, and the phase quantity of the original voltage is adjustedOf relatively small amplitudeA large angle change is required, i.e. the phase angle change rate delta% is large, so that the phase separation amount can be increasedThe fine tuning can improve the control precision.