CN101557189B - Method for fixing turn-on angle and optimizing turn-off angle of switched reluctance generator - Google Patents

Abstract

The invention discloses a method for fixing a turn-on angle and optimizing a turn-off angle of a switched reluctance generator, belonging to the technical field of control of the switched reluctance generators. The method is as follows: 1. a phase current expression is firstly derived according to a voltage equation of the switched reluctance generator, an average electromagnetic power expressionin a cycle is calculated by integration based thereon, and a factor which is only related to the turn-on angle and the turn-off angle is separated therefrom. 2. The turn-on angle is then fixed, the turn-off angle changes in a reasonable range, the factor is taken as a single-variable function of the turn-off angle, and the turn-off angle which is corresponding to the maximum value is solved by three situations according to the features of a high order derivative thereof. The method is based on the theory, simple and easy to operate and good in universality.

Description

The method of switch reluctance generator fixing turn-on angle and optimizing turn-off angle

Technical field

Invention relates to a kind of method of switch reluctance generator fixing turn-on angle and optimizing turn-off angle, belongs to the technical field of switch reluctance generator control.

Background technology

The control of switch reluctance generator is divided into three kinds usually: current chopping control, voltage pwm control and angle position control.

1. present, the research that Chinese scholars is controlled for the switch reluctance generator angle mainly concentrates on by emulation and optimum experimental and opens the shutoff angle to obtain on the peak power output, this optimization method relies on experience accumulation and practice, is theoretically unsound to a certain extent.

2. traditional angle optimization method need carry out repeatedly emulation and experiment obtains the result, the process complexity, and workload is big.

The conclusion of 3. traditional angle optimization method is only set up the motor object that carries out emulation and experiment, does not possess versatility, when the motor object changes, need carry out emulation and experiment again.

The result of 4. traditional angle optimization method changes with the variation of simulated conditions and experimental situation, and its precision is subjected to the restriction of emulation and experiment number.

Summary of the invention

The present invention seeks to provide a kind of method of switch reluctance generator fixing turn-on angle and optimizing turn-off angle at the defective that prior art exists.

The present invention adopts following technical scheme for achieving the above object:

The method of switch reluctance generator fixing turn-on angle and optimizing turn-off angle of the present invention is characterized in that comprising the steps:

1) the phase inductance L and the turn-on angle of the described switch reluctance generator of initialization;

2) reasonably close angle of rupture θ _OffThe descending branch that is in the described phase inductance L of step 1 promptly satisfies: θ _Off∈ [θ ₂, θ ₄], and make the phase magnetic linkage of switch reluctance generator drop to zero promptly satisfied at phase inductance L minimal segment: ${\mathrm{\θ}}_{\mathrm{off}}\∈[\frac{{\mathrm{\θ}}_4}{2},\frac{{\mathrm{\θ}}_6}{2}],$ If above-mentioned two interval existence occur simultaneously, then the described turn-on angle of step 1 rationally enters step 3; Otherwise work as ${\mathrm{\θ}}_4>\frac{{\mathrm{\θ}}_6}{2}$ And ${\mathrm{\θ}}_2>\frac{{\mathrm{\θ}}_6}{2},$ Then turn-on angle is unreasonable, returns step 1 and reinitializes turn-on angle, wherein θ ₂Be second deflection angle of phase inductance L, θ ₄Be the 3rd deflection angle of phase inductance L, θ ₆Be the 4th deflection angle of phase inductance L, down together;

3) ask for pass angle of rupture θ _OffSpan [x ₁, x ₂]:

When ${\mathrm{\θ}}_4\≤\frac{{\mathrm{\θ}}_6}{2}$ And ${\mathrm{\θ}}_2\≥\frac{{\mathrm{\θ}}_4}{2},$ Then close angle of rupture θ _OffSpan be: θ _Off∈ [θ ₂, θ ₄];

When ${\mathrm{\&theta;}}_4\&le;\frac{{\mathrm{\&theta;}}_6}{2}$ And ${\mathrm{\&theta;}}_2<\frac{{\mathrm{\&theta;}}_4}{2},$ Then close angle of rupture θ _OffSpan be: ${\mathrm{\&theta;}}_{\mathrm{off}}\&Element;[\frac{{\mathrm{\&theta;}}_4}{2},{\mathrm{\&theta;}}_4];$

When ${\mathrm{\&theta;}}_4>\frac{{\mathrm{\&theta;}}_6}{2}$ And $\frac{{\mathrm{\&theta;}}_4}{2}\&le;{\mathrm{\&theta;}}_2\&le;\frac{{\mathrm{\&theta;}}_6}{2},$ Then close angle of rupture θ _OffSpan be: ${\mathrm{\&theta;}}_{\mathrm{off}}\&Element;[{\mathrm{\&theta;}}_2,\frac{{\mathrm{\&theta;}}_6}{2}];$

When ${\mathrm{\&theta;}}_4>\frac{{\mathrm{\&theta;}}_6}{2}$ And ${\mathrm{\&theta;}}_2<\frac{{\mathrm{\&theta;}}_4}{2},$ Then close angle of rupture θ _OffSpan be: ${\mathrm{\&theta;}}_{\mathrm{off}}\&Element;[\frac{{\mathrm{\&theta;}}_4}{2},\frac{{\mathrm{\&theta;}}_6}{2}],$

X wherein ₁For closing angle of rupture θ _OffThe left end point of span, x ₂For closing angle of rupture θ _OffThe right endpoint of span;

4) described switch reluctance generator is placed under the self-excitation pattern, obtains the average electrical magnetic power of a rotor cycle of switch reluctance generator: $P_{\mathrm{av}}=\frac{{\mathrm{<figure-callout\; id="2"\; label="MU\; c"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">MU</figure-callout>}}_c^{}}{2{\mathrm{\&theta;}}_r\mathrm{K\&omega;}}f\left({\mathrm{\&theta;}}_{\mathrm{off}}\right),$ Wherein M is the number of phases of switched reluctance machines, θ _rBe the angle that the rotor one-period turns over, f () is an one-variable function, f (θ _Off) for closing angle of rupture θ _OffOne-variable function, U _cBe the voltage at described switch reluctance generator generating electric capacity two ends, ω is a rotor velocity, and K is the absolute value of phase inductance L slope;

5) the described pass of step 4 angle of rupture θ _OffOne-variable function f (θ _Off) the molecule of second dervative be a parabola, as it and θ _OffThe left intersection point D 〉=x of axle ₁, then enter step 6, otherwise change step 8;

6) as the described left intersection point D≤x of step 5 ₂, then enter step 7, otherwise change step 9;

7) 1. as f (x ₁) 〉=f (D), then the permanent positive interval the best of the described second dervative of step 5 is closed angle of rupture θ '=x ₁, otherwise θ '=D;

2. work as (D) f ' (x of f ' ₂)＜0 is then at θ _Off∈ [D, x ₂] the interval on the best of calculating between the permanent minus zone of the described second dervative of step 5 by dichotomy close angle of rupture θ ", otherwise enter step 3., wherein f ' () be the first derivative of f (), down with;

3. as f (D) 〉=f (x ₂), then the best between the permanent minus zone of the described second dervative of step 5 is closed angle of rupture θ "=D, otherwise θ "=x ₂

4. when f ' (θ ') 〉=f ' (θ "), the then optimum angle of rupture θ=θ ' that closes, otherwise the optimum angle of rupture θ=θ that closes ";

8) 5. as f ' (x ₁) f ' (x ₂Angle of rupture θ is then being closed in)＜0 _OffInterval on calculate by dichotomy and optimum to close angle of rupture θ, otherwise enter step 6.;

6. as f (x ₁) 〉=f (x ₂), the then optimum angle of rupture θ=x that closes ₁, otherwise the optimum angle of rupture θ=x that closes ₂

9) 7. as f (x ₁) 〉=f (x ₂), the then optimum angle of rupture θ=x that closes ₁, otherwise the optimum angle of rupture θ=x that closes ₂

10) with step 7, the 8 or 9 described optimum coordinate systems commonly used that angle of rupture θ are converted into switched reluctance machines that close, promptly rotor pole and stator slot axial alignment location definition are the optimum pass angle of rupture θ under the coordinate system of zero degree _OFF, ${\mathrm{\&theta;}}_{\mathrm{OFF}}=\mathrm{\&theta;}-\frac{{\mathrm{\&theta;}}_1}{2}-\frac{{\mathrm{\&theta;}}_2}{2}+\frac{{\mathrm{\&theta;}}_{\mathrm{<figure-callout\; id="2"\; label="r"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">r</figure-callout>}}}{2},$ θ wherein ₁First deflection angle for phase inductance L.

The inventive method has following characteristics: 1. the conclusion of this optimization method is based on theoretical derivation, and the optimization of turn-offing angle for switch reluctance generator provides certain theoretical foundation; 2. this optimization method only need be imported initial condition and just can be need not to have significantly reduced workload by repeatedly emulation and experiment by the computer solving result; 3. this optimization method versatility is good, and for different switch reluctance generators, procedure subject is constant, only needs to change the initial condition of input, can draw corresponding conclusion.4. the result of this optimization method does not change with the variation of simulated conditions and experimental situation, and its precision is not subjected to the restriction of emulation and experiment number.

Generally speaking, the method for switch reluctance generator fixing turn-on angle and optimizing turn-off angle is a kind of based on theoretical derivation, and optimizing process is simple, the optimization method that versatility is good.

Description of drawings

Fig. 1 is a main flow chart of the present invention;

Fig. 2 calculates 1 flow chart for the present invention;

Fig. 3 calculates 2 flow charts for the present invention;

Fig. 4 calculates 3 flow charts for the present invention;

Fig. 5 is a dichotomy calculation flow chart of the present invention, number in the figure: n: be the cyclic variable in the dichotomy calculation process; A: for using the left end point variable of the closed interval that dichotomy calculates; B: for using the right endpoint variable of the closed interval that dichotomy calculates; M: for using the middle point variable of the closed interval that dichotomy calculates;

Fig. 6 is step 2 of the present invention, 3 flow charts;

Fig. 7 is the initialized variable schematic diagram of the present invention, number in the figure: θ ₁, θ ₂, θ ₄, θ ₆: be the form parameter of inductance; L _Max: be the phase inductance maximum; K: be the absolute value of phase inductance slope, K=(L _Max-L _Min)/(θ ₄-θ ₂), L wherein _MinBe the phase inductance minimum value;

Fig. 8 is for described D of step 5 of the present invention and the schematic diagram that concerns that turn-offs between the angular region, when D changes between initial point and parabola symmetry axis, may drop between the shutoff angular region among, corresponding a schemes; May drop on and turn-off the left side between the angular region, corresponding b figure; May drop on and turn-off the right between the angular region, corresponding c figure.

Embodiment

The method of the invention is divided into following steps: 1. initialization inductance parameters L _Max, K, θ ₁, θ ₂, θ ₄, θ ₆, the turn-on angle of respective coordinates initial point is determined thereupon, notices that the origin of coordinates should be in the inductance ascent stage (seeing accompanying drawing 7).2. judge whether initialization is reasonable, rationally then calculate and turn-off angular region, otherwise get back to step 1 that reinitialize, the flow process in this step is seen accompanying drawing 6.3. calculate D, f (x ₁), f (x ₂), f (D), f ' (x ₁), f ' (x ₂), f ' (D).4. find the solution the pass angle of rupture of maximum average electrical magnetic power correspondence.When D changes between symmetry axis at initial point,, find the solution the pass angle of rupture with calculating 1 if drop on the centre (seeing accompanying drawing 8a figure) of turn-offing between the angular region; If drop on the left side (seeing accompanying drawing 8b figure) of turn-offing between the angular region, find the solution the pass angle of rupture with calculating 2; If drop on the right (seeing accompanying drawing 8c figure) of turn-offing between the angular region, find the solution the pass angle of rupture with calculating 3.The flow chart of calculating 1,2,3 is seen accompanying drawing 2-4, and the flow chart that dichotomy calculates is seen accompanying drawing 5.5. the position of definition rotor pole and stator slot axial alignment is a zero degree, and the shutoff angle number of trying to achieve is converted into shutoff angle under this definition.

Be elaborated below in conjunction with the technical scheme of accompanying drawing 1 to 8 pairs of inventions of accompanying drawing:

The method of switch reluctance generator fixing turn-on angle and optimizing turn-off angle of the present invention is characterized in that comprising the steps:

1) the phase inductance L and the turn-on angle of the described switch reluctance generator of initialization;

2) reasonably close angle of rupture θ _OffThe descending branch that is in the described phase inductance L of step 1 promptly satisfies: θ _Off∈ [θ ₂, θ ₄], and make the phase magnetic linkage of switch reluctance generator drop to zero promptly satisfied at phase inductance L minimal segment: ${\mathrm{\&theta;}}_{\mathrm{off}}\&Element;[\frac{{\mathrm{\&theta;}}_4}{2},\frac{{\mathrm{\&theta;}}_6}{2}],$ If above-mentioned two interval existence occur simultaneously, then the described turn-on angle of step 1 rationally enters step 3; Otherwise work as ${\mathrm{\&theta;}}_4>\frac{{\mathrm{\&theta;}}_6}{2}$ And ${\mathrm{\&theta;}}_2>\frac{{\mathrm{\&theta;}}_6}{2},$ Then turn-on angle is unreasonable, returns step 1 and reinitializes turn-on angle, wherein θ ₂Be second deflection angle of phase inductance L, θ ₄Be the 3rd deflection angle of phase inductance L, θ ₆Be the 4th deflection angle of phase inductance L, down together;

3) ask for pass angle of rupture θ _OffSpan [x ₁, x ₂]:

When ${\mathrm{\&theta;}}_4\&le;\frac{{\mathrm{\&theta;}}_6}{2}$ And ${\mathrm{\&theta;}}_2\&GreaterEqual;\frac{{\mathrm{\&theta;}}_4}{2},$ Then close angle of rupture θ _OffSpan be: θ _Off∈ [θ ₂, θ ₄];

When ${\mathrm{\&theta;}}_4\&le;\frac{{\mathrm{\&theta;}}_6}{2}$ And ${\mathrm{\&theta;}}_2<\frac{{\mathrm{\&theta;}}_4}{2},$ Then close angle of rupture θ _OffSpan be: ${\mathrm{\&theta;}}_{\mathrm{off}}\&Element;[\frac{{\mathrm{\&theta;}}_4}{2},{\mathrm{\&theta;}}_4];$

When ${\mathrm{\&theta;}}_4>\frac{{\mathrm{\&theta;}}_6}{2}$ And $\frac{{\mathrm{\&theta;}}_4}{2}\&le;{\mathrm{\&theta;}}_2\&le;\frac{{\mathrm{\&theta;}}_6}{2},$ Then close angle of rupture θ _OffSpan be: ${\mathrm{\&theta;}}_{\mathrm{off}}\&Element;[{\mathrm{\&theta;}}_2,\frac{{\mathrm{\&theta;}}_6}{2}];$

When ${\mathrm{\&theta;}}_4>\frac{{\mathrm{\&theta;}}_6}{2}$ And ${\mathrm{\&theta;}}_2<\frac{{\mathrm{\&theta;}}_4}{2},$ Then close angle of rupture θ _OffSpan be: ${\mathrm{\&theta;}}_{\mathrm{off}}\&Element;[\frac{{\mathrm{\&theta;}}_4}{2},\frac{{\mathrm{\&theta;}}_6}{2}],$ X wherein ₁For closing angle of rupture θ _OffThe left end point of span, x ₂For closing angle of rupture θ _OffThe right endpoint of span;

4) described switch reluctance generator is placed under the self-excitation pattern, obtains the average electrical magnetic power of a rotor cycle of switch reluctance generator:

$P_{\mathrm{av}}=\frac{m{{\mathrm{<figure-callout\; id="2"\; label="U\; c"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">U</figure-callout>}}_c}^2}{2{\mathrm{\&theta;}}_r\mathrm{K\&omega;}}\left[\begin{array}{c}{\mathrm{\&theta;}}_1+{\mathrm{\&theta;}}_2-{\mathrm{\&theta;}}_4+\frac{{\mathrm{<figure-callout\; id="1"\; label="M"\; filenames="H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_1{\mathrm{\&theta;}}_1}{{\mathrm{\&theta;}}_1+{\mathrm{<figure-callout\; id="1"\; label="M"\; filenames="H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_1}+\frac{{{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}^2({\mathrm{\&theta;}}_2-{\mathrm{\&theta;}}_{\mathrm{off}})}{({\mathrm{\&theta;}}_{\mathrm{off}}-M_2)({\mathrm{\&theta;}}_2-M_2)}+\frac{{(M_2-{\mathrm{\&theta;}}_5)}^2({\mathrm{\&theta;}}_{\mathrm{off}}-{\mathrm{\&theta;}}_4)}{({\mathrm{\&theta;}}_4-M_2)({\mathrm{\&theta;}}_{\mathrm{off}}-M_2)}\\ -2{\mathrm{<figure-callout\; id="1"\; label="M"\; filenames="H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_1\ln \left(\frac{{\mathrm{\&theta;}}_1+M_1}{M_1}\right)-2{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2\ln \left(\frac{{\mathrm{\&theta;}}_{\mathrm{off}}-{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}{{\mathrm{\&theta;}}_2-M_2}\right)-2(M_2-{\mathrm{\&theta;}}_5)\ln \left(\frac{{\mathrm{\&theta;}}_4-{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}{{\mathrm{\&theta;}}_{\mathrm{off}}-M_2}\right)\end{array}\right],$

M wherein ₁=L _Max/ K-θ ₁, M ₂=L _Max/ K+ θ ₂, θ ₅For magnetic linkage drops to zero pairing angle, under the self-excitation pattern, θ ₅=2 θ _Off, M is the number of phases of switched reluctance machines, θ _rBe the angle that the rotor one-period turns over, U _cBe the voltage at described switch reluctance generator generating electric capacity two ends, ω is a rotor velocity, and K is the absolute value of phase inductance L slope.Formula and pass angle of rupture θ that the following formula bracket is outer _OffIrrelevant, and the formula in the bracket is to close angle of rupture θ _OffOne-variable function, its abbreviation is got:

$f\left({\mathrm{\&theta;}}_{\mathrm{off}}\right)=C+4{\mathrm{\&theta;}}_{\mathrm{off}}(-\frac{{\mathrm{\&theta;}}_{\mathrm{off}}-{\mathrm{\&theta;}}_4}{{\mathrm{\&theta;}}_4-{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}+\ln \frac{{\mathrm{\&theta;}}_{\mathrm{off}}-{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}{{\mathrm{\&theta;}}_4-M_2}),$

Wherein C is and θ _OffIrrelevant constant.

Ask first derivative: $f^{\&prime;}\left({\mathrm{\&theta;}}_{\mathrm{off}}\right)=-\frac{8{\mathrm{\&theta;}}_{\mathrm{off}}-4{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}{{\mathrm{\&theta;}}_4-{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}+\frac{4{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}{{\mathrm{\&theta;}}_{\mathrm{off}}-{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}+4\ln \frac{{\mathrm{\&theta;}}_{\mathrm{off}}-{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}{{\mathrm{\&theta;}}_4-{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2}+8,$

Ask second dervative: $f^{\&prime;\&prime;}\left({\mathrm{\&theta;}}_{\mathrm{off}}\right)=\frac{4({\mathrm{\&theta;}}_{\mathrm{off}}{\mathrm{\&theta;}}_4-{{2\mathrm{\&theta;}}_{\mathrm{off}}}^2+{3\mathrm{\&theta;}}_{\mathrm{off}}{M}_2-{\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2{\mathrm{\&theta;}}_4)}{{({\mathrm{\&theta;}}_{\mathrm{off}}-M_2)}^2({\mathrm{\&theta;}}_4-M_2)},$

The molecule of second dervative is the parabola that Open Side Down: symmetry axis (3M ₂+ θ ₄)/4＞θ ₄＞θ ₃, summit (9M ₂-θ ₄) (M ₂-θ ₄)/2＞0, this parabola and pass angle of rupture θ _OffThe left intersection point of axle is:

$D=\frac{{3\mathrm{<figure-callout\; id="2"\; label="M"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">M</figure-callout>}}_2+{\mathrm{\&theta;}}_4-\sqrt{({9M}_2-{\mathrm{\&theta;}}_4)(M_2-{\mathrm{\&theta;}}_4)}}{4}.$

5) the described pass of step 4 angle of rupture θ _OffOne-variable function f (θ _Off) the molecule of second dervative be a parabola, as it and θ _OffThe left intersection point D 〉=x of axle ₁, then enter step 6, otherwise change step 8;

6) as the described left intersection point D≤x of step 5 ₂, then enter step 7, otherwise change step 9;

7) 1. as f (x ₁) 〉=f (D), then the permanent positive interval the best of the described second dervative of step 5 is closed angle of rupture θ '=x ₁, otherwise θ '=D;

2. work as (D) f ' (x of f ' ₂)＜0 is then at θ _Off∈ [D, x ₂] the interval on the best of calculating between the permanent minus zone of the described second dervative of step 5 by dichotomy close angle of rupture θ ", otherwise enter step 3., wherein f ' () be the first derivative of f (), down with;

3. as f (D) 〉=f (x ₂), then the best between the permanent minus zone of the described second dervative of step 5 is closed angle of rupture θ "=D, otherwise θ "=x ₂

4. when f ' (θ ') 〉=f ' (θ "), the then optimum angle of rupture θ=θ ' that closes, otherwise the optimum angle of rupture θ=θ that closes ";

8) 5. as f ' (x ₁) f ' (x ₂Angle of rupture θ is then being closed in)＜0 _OffInterval on calculate by dichotomy and optimum to close angle of rupture θ, otherwise enter step 6.;

6. as f (x ₁) 〉=f (x ₂), the then optimum angle of rupture θ=x that closes ₁, otherwise the optimum angle of rupture θ=x that closes ₂

9) 7. as f (x ₁) 〉=f (x ₂), the then optimum angle of rupture θ=x that closes ₁, otherwise the optimum angle of rupture θ=x that closes ₂

10) with step 7, the 8 or 9 described optimum coordinate systems commonly used that angle of rupture θ are converted into switched reluctance machines that close, promptly rotor pole and stator slot axial alignment location definition are the optimum pass angle of rupture θ under the coordinate system of zero degree _OFF, ${\mathrm{\&theta;}}_{\mathrm{OFF}}=\mathrm{\&theta;}-\frac{{\mathrm{\&theta;}}_1}{2}-\frac{{\mathrm{\&theta;}}_2}{2}+\frac{{\mathrm{\&theta;}}_{\mathrm{<figure-callout\; id="2"\; label="r"\; filenames="H2009100278410E00011.png,H2009100278410E00041.png"\; state="\{\{state\}\}">r</figure-callout>}}}{2},$ θ wherein ₁First deflection angle for phase inductance L.

Operation principle of the present invention is that the phase winding voltage equation that adopts separation of variables to find the solution switch reluctance generator obtains instantaneous phase current expression formula, and then obtain the transient electromagnetic power expression, by can draw the average electrical magnetic power expression formula of a rotor cycle to transient electromagnetic power integration.To only close the relevant factor of the angle of rupture and separate independent research with opening in the average electrical magnetic power expression formula, if fixing turn-on angle, it be the one-variable function of the pass angle of rupture so.Divide three kinds of situations to find the solution the corresponding pass angle of rupture of its maximum according to its second dervative zero crossing with the relation of turn-offing between the angular region.For the permanent positive interval of second dervative, more interval two-end-point; Between permanent minus zone for second dervative, if first derivative zero passage not, two-end-point relatively, zero passage then adopts the pass angle of rupture of dichotomy approximate solution zero crossing correspondence; Having for second dervative just has negative interval, and it is divided into the same research between permanent positive interval and permanent minus zone, takes all factors into consideration at last to draw the optimum angle of rupture that closes.

Claims (1)

1. the method for a switch reluctance generator fixing turn-on angle and optimizing turn-off angle is characterized in that comprising the steps:

1) the phase inductance L and the turn-on angle of the described switch reluctance generator of initialization;

2) reasonably close angle of rupture θ _OffThe descending branch that is in the described phase inductance L of step 1 promptly satisfies: θ _Off∈ [θ ₂, θ ₄], and make the phase magnetic linkage of switch reluctance generator drop to zero promptly satisfied at phase inductance L minimal segment:

If above-mentioned two interval existence occur simultaneously, then the described turn-on angle of step 1 rationally enters step 3; Otherwise work as

And Then turn-on angle is unreasonable, returns step 1 and reinitializes turn-on angle, and wherein θ 2 is second deflection angle of phase inductance L, and θ 4 is the 3rd deflection angle of phase inductance L, θ ₆Be the 4th deflection angle of phase inductance L, down together;

3) ask for pass angle of rupture θ _OffSpan [x ₁, x ₂]:

When

And Then close angle of rupture θ _OffSpan be: θ _Off∈ [θ ₂, θ ₄];

When

And

Then close angle of rupture θ _OffSpan be:

When

And

Then close angle of rupture θ _OffSpan be:

When

And

Then close angle of rupture θ _OffSpan be:

X wherein ₁For closing angle of rupture θ _OffThe left end point of span, x ₂For closing angle of rupture θ _OffThe right endpoint of span;

4) described switch reluctance generator is placed under the self-excitation pattern, obtains the average electrical magnetic power of a rotor cycle of switch reluctance generator:

Wherein M is the number of phases of switched reluctance machines, θ _rBe the angle that the rotor one-period turns over, f (θ _Off) for closing angle of rupture θ _OffOne-variable function, U _cBe the voltage at described switch reluctance generator generating electric capacity two ends, ω is a rotor velocity, and K is the absolute value of phase inductance L slope;

5) the described pass of step 4 angle of rupture θ _OffOne-variable function f (θ _Off) the molecule of second dervative be a parabola, as it and θ _OffThe left intersection point D 〉=x of axle ₁, then enter step 6, otherwise change step 8;

6) as the described left intersection point D≤x of step 5 ₂, then enter step 7, otherwise change step 9;

7) 1. as f (x ₁) 〉=f (D), then the permanent positive interval the best of the described second dervative of step 5 is closed angle of rupture θ '=x ₁, otherwise θ '=D;

2. work as (D) f ' (x of f ' ₂)＜0 is then at θ _Off∈ [D, x ₂] the interval on the best of calculating between the permanent minus zone of the described second dervative of step 5 by dichotomy close angle of rupture θ ", otherwise enter step 3., wherein f ' () be the first derivative of f (), down with;

3. as f (D) 〉=f (x ₂), then the best between the permanent minus zone of the described second dervative of step 5 is closed angle of rupture θ "=D, otherwise θ "=x ₂

4. when f ' (θ ') 〉=f ' (θ "), the then optimum angle of rupture θ=θ ' that closes, otherwise the optimum angle of rupture θ=θ that closes ";

8) 5. as f ' (x ₁) f ' (x ₂Angle of rupture θ is then being closed in)＜0 _OffInterval on calculate by dichotomy and optimum to close angle of rupture θ, otherwise enter step 6.;

6. as f (x ₁) 〉=f (x ₂), the then optimum angle of rupture θ=x that closes ₁, otherwise the optimum angle of rupture θ=x that closes ₂

9) 7. as f (x ₁) 〉=f (x ₂), the then optimum angle of rupture θ=x that closes ₁, otherwise the optimum angle of rupture θ=x that closes ₂

10) with step 7, the 8 or 9 described optimum coordinate systems commonly used that angle of rupture θ are converted into switched reluctance machines that close, promptly rotor pole and stator slot axial alignment location definition are the optimum pass angle of rupture θ under the coordinate system of zero degree _OFF,

θ wherein ₁First deflection angle for phase inductance L.

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