KR20140131039A - Hysteresis pulse width modulation method - Google Patents
Hysteresis pulse width modulation method Download PDFInfo
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- KR20140131039A KR20140131039A KR20130049852A KR20130049852A KR20140131039A KR 20140131039 A KR20140131039 A KR 20140131039A KR 20130049852 A KR20130049852 A KR 20130049852A KR 20130049852 A KR20130049852 A KR 20130049852A KR 20140131039 A KR20140131039 A KR 20140131039A
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- 230000010354 integration Effects 0.000 claims description 10
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M3/00—Conversion of dc power input into dc power output
- H02M3/02—Conversion of dc power input into dc power output without intermediate conversion into ac
- H02M3/04—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters
- H02M3/10—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M3/145—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
- H02M3/155—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only
- H02M3/156—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators
- H02M3/157—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators with digital control
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03K—PULSE TECHNIQUE
- H03K7/00—Modulating pulses with a continuously-variable modulating signal
- H03K7/08—Duration or width modulation ; Duty cycle modulation
Abstract
A hysteresis pulse width modulation method for closed-loop control of a switching power converter, comprising: providing a timer for detecting a switching period; subtracting a switching period signal detected in the reference switching period signal; And the like. The present invention is characterized in that the switching frequency is regulated, the implementation is simple and easy, and the control performance is excellent. The present invention is based on a two-level pulse width modulation method and is extended to a multi-level pulse width modulation method and a polyphase pulse width modulation method.
Description
The present invention relates to a hysteresis pulse width modulation method, and more particularly to a DC-DC converter or a switching regulator such as a step-down converter, a step-up converter, a step- DC switch mode power supplies such as half-bridge converters, full-bridge converters, push-pull converters, forward converters, and flyback converters; Single-phase ac-to-dc converters such as power factor correction rectifiers and pulse width modulation converters; Single-phase DC-AC converters, such as half-bridge inverters, full-bridge inverters, push-pull inverters, pulse width modulated power amplifiers, or motor drivers; Three-phase bridge inverter or three-phase motor drive; Three phase - bridge converter; Polyphase-bridge inverter or multiphase motor drive; (Or feedback) control of virtually any switching (or stationary) power converter, such as a multiphase-to-bridge converter.
Switching power converter
Power conversion is the conversion of supplied power into the required power. This power conversion is necessary in almost all cases of using power, from a small power of several watts or less to a large power of several MW or more.
One of the important goals of power conversion is to reduce power losses and increase efficiency. The switching power converter uses a switch which is a lossless control element as a means for achieving high efficiency. Lossless switches are ideal, and actual semiconductor switching devices such as diodes and transistors have some on-state losses and switching losses. However, these days, it is a technology that can achieve efficiency of 90% or more, and in some cases, 99% or more.
Pulse width modulation method
A switch is a device that is not capable of continuous control and is only capable of on-off control (or switching). Therefore, the pulse width modulation method is used to control the output of the switching power converter. The pulse width modulation method controls the width of the 2-level pulse signal through switching so that the pulse signal approximates the modulation reference signal on average. The pulse width modulation method extends not only to the 2-level but also to the multi-level and the polyphase.
Originally, the pulse width modulation method was developed in the middle of the 20th century for the purpose of modulation in the field of communications. Although it has been used for other purposes in the control of pulse width in switching power conversion, it respects the original term of pulse width modulation and uses it as it is.
Switching ripple by the pulse width modulation can not be avoided in the output signal. The higher the switching frequency, the smaller the size of the switching ripple. However, since the switching loss of the semiconductor switching device becomes larger, there is a limit to increase the switching frequency. When it is necessary to remove the switching ripple from the output signal, a power filter composed of a capacitor and / or an inductor is mainly used.
Closed-loop control
Another important goal of power conversion is to reduce errors and increase accuracy. In the early days of power conversion technology, mainly open-loop control was used. Closed-loop control has gradually spread since it is known that closed-loop control can improve accuracy and adaptability. In the field of power management, so-called current mode control having a so-called voltage mode control and current control loop having a voltage control loop is widely used. In motor driving, so-called current control having a current control loop is widely used. In the field, so-called vector control with synchronous coordinate transformation and current control loops is widely used.
Hysteresis pulse width modulation method
A hysteresis pulse width modulation method is characterized by controlling the width of a pulse by comparing hysteresis of an error signal obtained by subtracting an output signal from a reference signal and hysteresis of a certain allowable band. Band pulse width modulation method, sliding mode pulse width modulation method, and the like.
The hysteresis pulse width modulation method has particularly excellent characteristics in terms of transient response speed, steady state error, adaptability, and simplicity. However, the problem is that the switching frequency is not constant and varies greatly depending on various parameters and parameters of the system. If the switching frequency is not constant, the switching power loss in the semiconductor switching element is not constant, which makes it difficult to dissipate and protect the semiconductor switching element.
Allowable band control method
As a method for solving the problem of the switching frequency variation of the hysteresis pulse width modulation method, the preceding method disclosed in the
Object of the Invention
A first object of the present invention is to improve a preceding hysteresis pulse width modulation method and a preceding allowable band control method for closed loop control of a two-level power converter. That is, the present invention provides a two-level hysteresis pulse width modulation method in which the switching frequency is regulated, the implementation is simple and easy, and the control performance is excellent.
The hysteresis pulse width modulation method is based on a two-level pulse width modulation method and can be extended by a multi-level pulse width modulation method. A second object of the present invention is to provide a multi-level hysteresis pulse width modulation method in which the switching frequency is regulated.
The hysteresis pulse width modulation method is also applicable to a polyphase converter. A third object of the present invention is to provide a polyphase hysteresis pulse width modulation method in which the switching frequency is regulated.
As a means for solving the problems, the characteristics of the present invention can be described as follows.
Providing a timer for detecting a switching period;
Subtracting the switching period signal detected in the timer in the reference switching period and controlling a permissible band through a sampling integrator compensator;
Wherein the hysteresis pulse width modulation method comprises:
2-level hysteresis pulse width modulation method
Providing an allowable band signal vb and a timer signal vt;
Setting a reference switching period (Ts) and an integration gain (Ki);
Increasing the timer signal vt to a constant slope with respect to time;
When the control signal s is at a
Changing the control signal s to a high level (1) when the control signal s is at a low level (0) and the modulation reference signal vr is greater than the allowable band signal vb;
Wherein the hysteresis pulse width modulation method comprises:
The following is an example of the above features written in the MATLAB language.
vb = 0.2; vt = 0.0;
fs = 100; Ts = 1 / fs; Ki = 3;
vt = vt + dt;
if s == 1 && vr <-vb s = 0; vb = vb + Ki * (2 * Ts-vt); vt = 0; end
if s == 0 && vr> vb s = 1; end
Multi-level hysteresis pulse width modulation method
Level power converter that can be selectively controlled to three or more levels, the control signal s and the level control signal ss of the power converter are received by receiving the modulation reference signal vr as an input, To the output, the hysteresis pulse width modulation method comprising:
Providing a permissible band signal vb, a delayed permissible band signal vc, and a timer signal vt;
Setting a reference switching period (Ts), an integration gain (Ki), and a band margin (bm);
Increasing the timer signal vt to a constant slope with respect to time;
When the control signal s is at a
Changing the control signal s to a high level (1) when the control signal s is at a low level (0) and the modulation reference signal vr is greater than the allowable band signal vb;
When the control signal s is at a
When the control signal s is at a low level and the modulation reference signal vr is smaller than a value obtained by subtracting the band margin bm from a negative value of the delayed permissible band signal vc, Changing the signal (ss) to the lower level;
Wherein the hysteresis pulse width modulation method comprises:
The following is an example of the above features written in the MATLAB language.
vb = 0.1; vc = vb; vt = 0.0;
fs = 100; Ts = 1 / fs; Ki = 2; bm = 0.01;
vt = vt + dt;
if s == 1 && vr <-vb s = 0; vc = vb; vb = vb + Ki * (Ts-vt); vt = 0; end
if s == 0 && vr> vb s = 1; end
if s == 1 && vr> vb + bm ss = ss + 1; end
if s == 0 && vr <-vc-bm ss = ss-1; end
Multiphase hysteresis pulse width modulation method
Loop control of a multiphase power converter having a phase number N of 2 or more and for receiving a modulation reference signal vr for each phase m and outputting the control signal s of the power converter to an output A hysteresis pulse width modulation method comprising:
Providing an allowable band signal vb and a timer signal vt for each phase;
Setting a reference switching period (Ts) and an integration gain (Ki);
For each phase (m), increasing the timer signal (vt) with a constant slope with respect to time;
When the control signal s is at a
When the control signal s is at a low level (0) and the modulation reference signal (vr) is greater than the allowable band signal (vb) for each phase (m), the control signal (s) 1);
Wherein the hysteresis pulse width modulation method comprises:
The following is an example of the above features written in the MATLAB language.
N = 3; vb = 0.1 * ones (N, 1); vt = zeros (N, 1);
fs = 100; Ts = 1 / fs; Ki = 1;
for m = 1: N
vt (m) = vt (m) + dt;
if (m) == 1 && vr (m) < - vb (m)
s (m) = 0; vb (m) = vb (m) + Ki * (2 * Ts-vt (m)); vt (m) = 0; end
if (m) == 0 && vr (m)> vb (m) s (m) = 1; end
end
Multiphase Single Permissive Band Hysteresis Pulse Width Modulation Method
Loop control of a multiphase power converter having a phase number N of 2 or more and for receiving a modulation reference signal vr for each phase m and outputting the control signal s of the power converter to an output A hysteresis pulse width modulation method comprising:
Providing an allowable band signal (vb), a timer signal (vt), and a switching number signal (ns);
Setting a reference switching period (Ts) and an integration gain (Ki);
Increasing the timer signal vt to a constant slope with respect to time;
When the control signal s is at a
When the control signal s is at a low level (0) and the modulation reference signal (vr) is greater than the allowable band signal (vb) for each phase (m), the control signal (s) 1) and increasing the switching number signal (ns) by one; And
Multiplying a value obtained by subtracting the timer signal (vt) from twice the reference switching period (Ts) by the integral gain (Ki) when the switching number signal (ns) becomes twice the number of phases (N) Adding to the permissible band signal vb, zeroing the timer signal vt, and making the switching number signal ns zero;
Wherein the hysteresis pulse width modulation method comprises:
The following is an example of the above features written in the MATLAB language.
N = 3; vb = 0.1; vt = 0; ns = 0;
fs = 100; Ts = 1 / fs; Ki = 1;
vt = vt + dt;
for m = 1: N
if s (m) == 1 && vr (m) < - vb s (m) = 0; ns = ns + 1; end
If s (m) == 0 && vr (m)> vb s (m) = 1, ns = ns + 1; end
end
if ns == 2 * N vb = vb + Ki * (2 * Ts-vt); vt = 0; ns = 0; end
The present invention is a hysteresis pulse width modulation method for closed loop control of a switching power converter, which includes a method of feedback control of the size of a permissible band so that the switching frequency is constant. The permissible band control method is characterized by providing a means for detecting a switching period, subtracting the switching period signal detected in the reference switching period signal, and controlling the permissible band via the integrator compensator. The means for detecting the switching period is possible with a simple timer. On the other hand, the magnitude of the permissible band and the switching frequency are almost in inverse proportion to the properties. On the other hand, the size of the permissible band and the switching period are almost proportional in nature. Therefore, the present invention is characterized in that the switching period and frequency are regulated, the implementation is simple and easy, and the control performance is excellent.
The present invention is based on a two-level hysteresis pulse width modulation method and is extended to a multi-level hysteresis pulse width modulation method and a polyphase hysteresis pulse width modulation method in which the switching frequency is regulated.
FIG. 1A shows the modulation reference signal vr and the permissible band signal vb of the two-level hysteresis pulse width modulation method.
FIG. 1B shows the output voltage v according to FIG.
Fig. 1C shows the reference current ir and the output current i according to Fig. 1B.
FIG. 2 shows a case where the integral gain Ki is changed to 1 in the case of FIG.
FIG. 3 shows a case where the inductance L is changed to 0.01 in the case of FIG.
FIG. 4 shows a case where the inductance L is changed to 0.03 in the case of FIG.
5 shows a three-level hysteresis pulse width modulation method.
6 shows a 5-level hysteresis pulse width modulation method.
FIG. 7 shows a three-phase hysteresis pulse width modulation method.
8 shows a three-phase single-allowed band hysteresis pulse width modulation method.
The switching power converter is based on a two-level power converter. It is well known that DC-DC converters or switching regulators such as step-down converters, step-up converters, and step-up converters; DC switch mode power supplies such as half-bridge converters, full-bridge converters, push-pull converters, forward converters, and flyback converters; Power factor correction rectifier; Single-phase DC-to-AC converters such as half-bridge inverters, push-pull inverters, pulse width modulated power amplifiers, or motor drivers belong to the two-level power converters.
The input and output circuits of the switching power converter vary. However, it is common that a series inductor (or equivalent inductance) is connected to the two-level output voltage terminals. The control output of the switching power converter also varies, and the types of compensators vary. In the case of a switching regulator, a switch mode power supply, and a pulse width modulated power amplifier, the voltage of the filter capacitor may be the control output, and in the case of the motor driver, the motor speed may be the control output. However, it is known that the control methods including the current control of the series inductor as a minor loop are excellent in performance. The compensator is a proportional compensator, a proportional-integral compensator, and a proportional-integral-differential compensator. The so-called ripple-based control method utilizing the equivalent series resistance of the filter capacitor is similar to the current control with a proportional-integral compensator. Although the control output of the switching power converter and the type of the compensator are variable, the hysteresis pulse width modulation method can be applied in common.
Switching power converters extend to multi-level converters and polyphase converters. A widely used all-bridge converter is a three-level converter and a two-phase converter. The Neutral Point Clamp (NPC) converter is a three-level converter, and is a typical multi-level converter. A polyphase converter is basically a polyphase-connected two-level converter, and a multi-level converter can be polyphase-connected. Three-phase bridge converters are typical polyphase converters.
2-level hysteresis pulse width modulation method
The following is a MATLAB program that describes an embodiment of a two-level hysteresis pulse width modulation method. In the case of DC-to-AC conversion, in the case of a circuit in which inductance (L), resistance (R), and electromotive force (e) are connected in series to output voltage terminals, 1, and the inductance of the program is a forward Euler numerical model. In the program, values such as frequency and voltage are a kind of per unit value, and these premises are the same in all the following programs.
clear all; clc; close all
vb = 0.2; vt = 0.0; s = 1;
fs = 100; Ts = 1 / fs; Ki = 2;
ns = 1; Ns = 2;
f = 2; w = 2 * pi * f; L = 0.02; R = 0.01; em = 0.8; Vdc = 2; irm = 1; i = 0;
Ks = 1000; dt = Ts / Ks; tmax = 100 * Ts; NK = round (tmax / dt); t = 0;
iw = zeros (1, NK); irw = zeros (1, NK);
vrw = zeros (1, NK); vbw = zeros (1, NK); vw = zeros (1, NK);
for extend = 1: 1
for K = 1: NK; t = t + dt;
e = em * cos (w * t); ir = irm * cos (w * t); vr = ir-i;
% Example
vt = vt + dt;
if s == 1 && vr <-vb s = 0; vb = vb + Ki * (2 * Ts-vt); vt = 0; end
if s == 0 && vr> vb s = 1; end
%% Another embodiment
% Vt = vt + dt;
% If s == 1 && vr <-vb s = 0; ns = ns + 1; end
% If s == 0 && vr> vb s = 1; ns = ns + 1; end
% If ns == Ns vb = vb + Ki * (Ns * Ts-vt); ns = 0; vt = 0; end
if s == 1 v = Vdc / 2; else v = -Vdc / 2; end
i = i + 1 / L * v-R * i-e * dt;
iw (K) = i; irw (K) = ir; vrw (K) = vr; vbW (K) = vb; vw (K) = v;
end
figure; hold on; axis ([1 NK -1 1])
plot (vbw, 'b'); plot (-vbw, 'b'); plot (vrw, 'r');
figure; hold on; axis ([1 NK -4 4]); plot (vw, 'r');
figure; hold on; axis ([1 NK -2 2]); plot (irw, 'b'); plot (iw, 'r');
end
1a shows the modulation reference signal vr and the permissible band signal vb of a two-level hysteresis pulse width modulation method, Fig. 1b shows the output voltage v according to Fig. 1a, Fig. The reference current ir and the output current i. FIG. 1 shows a case where the integral gain Ki is 2. FIG. 2 shows a case where the integral gain Ki is changed to 1 in the case of FIG. The smaller the integral gain Ki is, the more the permissible band signal vb becomes flat and the transient time for stabilizing the switching period becomes longer. FIG. 3 shows a case where the inductance L is changed to 0.01 in the case of FIG. 1, and FIG. 4 shows a case where the inductance L is changed to 0.03 in the case of FIG. In all the cases from FIG. 1 to FIG. 4, the switching frequency is regulated with the stabilization of the permissible band signal vb.
Meanwhile, another embodiment described in the program operates in the same manner as in the embodiment when the reference switching number Ns is 2, and operates similarly when the reference switching number Ns is changed to another number.
Multi-level hysteresis pulse width modulation method
The following is a MATLAB program that describes an embodiment of a multi-level hysteresis pulse width modulation method.
clear all; clc; close all
NL = 3; vb = 0.1; vc = vb; vt = 0.0; s = 0; ss = 0;
fs = 100; Ts = 1 / fs; Ki = 2; bm = 0.01;
f = 4; w = 2 * pi * f; L = 0.02; R = 0.01; Vdc = 2; em = 1.5; irm = 1; i = 0;
Ks = 1000; dt = Ts / Ks; tmax = 50 * Ts; NK = round (tmax / dt); t = 0;
iw = zeros (1, NK); irw = zeros (1, NK);
vrw = zeros (1, NK); vbw = zeros (1, NK); vw = zeros (1, NK);
for extend = 1: 1
for K = 1: NK; t = t + dt;
e = em * cos (w * t); ir = irm * cos (w * t); vr = ir-i;
vt = vt + dt;
if s == 1 && vr <-vb s = 0; vc = vb; vb = vb + Ki * (Ts-vt); vt = 0; end
if s == 0 && vr> vb s = 1; end
if s == 1 && vr> vb + bm ss = ss + 1; end
if s == 0 && vr <-vc-bm ss = ss-1; end
if ss > (NL-2) ss = (NL-2); elseif ss <0 ss = 0; end
v = (ss + s- (NL-1) / 2) * Vdc;
i = i + 1 / L * v-R * i-e * dt;
iw (K) = i; irw (K) = ir; vrw (K) = vr; vbW (K) = vb; vw (K) = v;
end
figure; hold on; axis ([1 NK -1 1])
plot (vbw, 'b'); plot (-vbw, 'b'); plot (vrw, 'r');
figure; hold on; axis ([1 NK -8 8]); plot (vw, 'r');
figure; hold on; axis ([1 NK -2 2]); plot (irw, 'b'); plot (iw, 'r');
end
FIG. 5 shows a three-level hysteresis pulse width modulation method, and FIG. 6 shows a five-level hysteresis pulse width modulation method. 6 shows a case in which the number of levels NL is changed to 5 and the magnitude (em) of electromotive force is changed to 2.5 in the above program.
Multiphase hysteresis pulse width modulation method
The following is a MATLAB program describing a DC-AC neutral-point-wire polyphase hysteresis pulse-width modulation method. This embodiment is characterized in that an allowable band signal vb is used for each of the polyphase. In the program, the load is a multiphase specific gravity multiple winding permanent magnet non - dipole constant speed synchronous motor model.
clear all; clc; close all
N = 3; vb = 0.1 * ones (N, 1); vt = zeros (N, 1); s = zeros (N, 1);
fs = 100; Ts = 1 / fs; Ki = 1;
f = 2.0; w = 2 * pi * f; L = 0.02; R = 0.01; Vdc = 2; Ps = 0.4 * Vdc / (2 * pi * 4); irm = 1;
i = zeros (N, 1);
Ks = 1000; dt = Ts / Ks; tmax = 100 * Ts; NK = round (tmax / dt); t = 0;
iw = zeros (N, NK); irw = zeros (N, NK); Tw = zeros (1, NK);
vrw = zeros (N, NK); vbw = zeros (N, NK); vw = zeros (N, NK); vnw = zeros (N, NK);
for extend = 1: 1
for K = 1: NK; t = t + dt;
for m = 1: N; e (m, 1) = w * Ps * cos (w * t- (m-1) / N * 2 * pi); end
for m = 1: N; ir (m, 1) = irm * cos (w * t- (m-1) / N * 2 * pi); end
vr = ir-i;
for m = 1: N
vt (m) = vt (m) + dt;
if (m) == 1 && vr (m) <- vb (m) s (m) = 0; vb (m) = vb (m) + Ki * (2 * Ts-vt (m)); vt (m) = 0;
end
if (m) == 0 && vr (m)> vb (m) s (m) = 1; end
end
v = (s-0.5) * Vdc; vn = v-sum (v) / N;
i = i + 1 / L * (vn-R * i-e) * dt;
T = e '* i / w;
iw (:, K) = i; irw (:, K) = ir; vrw (:, K) = vr; vbW (:, K) = vb; vw (:, K) = v; vnw (:, K) = vn;
Tw (:, K) = T;
end
m = 1;
figure; hold on; axis ([1 NK -1 1])
plot (vbw (m, :), 'b'); plot (-vbw (m, :), 'b'); plot (vrw (m, :), 'r');
figure; hold on; axis ([1 NK -4 4]); plot (vw (m, :), 'r');
figure; hold on; axis ([1 NK -4 4]); plot (vnw (m, :), 'r');
figure; hold on; axis ([1 NK -2 2]); plot (irw (m, :), 'b'); plot (iw (m, :), 'r');
figure; hold on; axis ([1 NK -3 3]); plot (Tw / Ps, 'r');
end
7 shows a neutral point connection three-phase hysteresis pulse width modulation method. FIG. 7A shows the modulation reference signal vr and the permissible band signal vb on the first phase, FIG. 7B shows the DC side neutral phase reference phase voltage v on the first phase, FIG. 7C shows the AC side neutral phase reference phase voltage 7n shows the reference current ir and the output current i of the first phase and Fig. 7e shows the generated torque T. Fig.
Neutral point wiring The multiphase proportional hysteresis pulse width modulation method does not show good performance due to the so-called limit cycle phenomenon when the modulation speed is low.
Multiphase Single Permissive Band Hysteresis Pulse Width Modulation Method
The following is a MATLAB program that describes a DC-AC neutral-point-wire multiphase single-band hysteresis pulse-width modulation method. This embodiment is characterized in that the multiphase common single-band signal vb is used.
clear all; clc; close all
N = 3; vb = 0.1; vt = 0; ns = 0; s = zeros (N, 1);
fs = 100; Ts = 1 / fs; Ki = 1;
f = 2; w = 2 * pi * f; L = 0.02; R = 0.01; Vdc = 2; Ps = 0.4 * Vdc / (2 * pi * 4); irm = 1;
i = zeros (N, 1);
Ks = 1000; dt = Ts / Ks; tmax = 100 * Ts; NK = round (tmax / dt); t = 0;
iw = zeros (N, NK); irw = zeros (N, NK); Tw = zeros (1, NK);
vrw = zeros (N, NK); vbw = zeros (1, NK); vtw = zeros (1, NK); vw = zeros (N, NK);
vnw = zeros (N, NK);
for extend = 1: 1
for K = 1: NK; t = t + dt;
for m = 1: N; e (m, 1) = w * Ps * cos (w * t- (m-1) / N * 2 * pi); end
for m = 1: N; ir (m, 1) = irm * cos (w * t- (m-1) / N * 2 * pi); end
vr = ir-i;
vt = vt + dt;
for m = 1: N
if s (m) == 1 && vr (m) < - vb s (m) = 0; ns = ns + 1; end
if s (m) == 0 && vr (m)> vb s (m) = 1; ns = ns + 1; end
end
if ns == 2 * N vb = vb + Ki * (2 * Ts-vt); vt = 0; ns = 0; end
v = (s-0.5) * Vdc; vn = v-sum (v) / N;
i = i + 1 / L * (vn-R * i-e) * dt;
T = e '* i / w;
iw (:, K) = i; irw (:, K) = ir; vrw (:, K) = vr; vbW (K) = vb; vw (:, K) = v; vnw (:, K) = vn;
Tw (:, K) = T; vtw (K) = vt;
end
m = 1;
figure; hold on; axis ([1 NK -1 1])
plot (vbw (m, :), 'b'); plot (-vbw (m, :), 'b'); plot (vrw (m, :), 'r');
figure; hold on; axis ([1 NK -4 4]); plot (vw (m, :), 'r');
figure; hold on; axis ([1 NK -4 4]); plot (vnw (m, :), 'r');
figure; hold on; axis ([1 NK -2 2]); plot (irw (m, :), 'b'); plot (iw (m, :), 'r');
figure; hold on; axis ([1 NK -3 3]); plot (Tw / Ps, 'r');
end
8 shows a three-phase single-allowed band hysteresis pulse width modulation method.
A hysteresis pulse width modulation method for a closed loop control of a power converter, the method comprising: receiving a modulation reference signal as an input and outputting a control signal of the power converter as an output; Providing a timer for detecting a switching period; And subtracting the switching period signal detected in the timer in the reference switching period to control the permissible band through a sampling integration compensator, and a wide variety of implementations and modifications are possible. While important or preferred embodiments and modifications thereof have been described in the examples, it is not uncommon for all embodiments and variations to be described in this specification and claims. For example, the present invention may be implemented in an analog manner or in a digital manner. Any implementation or variation having the main features of the invention is desired to be understood as an equivalent of the present invention.
Claims (5)
Providing an allowable band signal and a timer signal;
Setting a reference switching period;
Increasing the timer signal to a constant slope with respect to time; And
Wherein the control signal is switched through a hysteresis comparison between the reference signal and the permissible band signal, the timer signal is subtracted from the reference switching period, the permissive band signal is adjusted via a sampling compensator, that;
Wherein the hysteresis pulse width modulation method comprises:
Providing an allowable band signal vb and a timer signal vt;
Setting a reference switching period (Ts) and an integration gain (Ki);
Increasing the timer signal vt to a constant slope with respect to time;
When the control signal s is at a high level 1 and the modulation reference signal vr is smaller than a negative value of the permissible band signal vb, the control signal s is changed to a low level 0 , Multiplying a value obtained by subtracting the timer signal (vt) from twice the reference switching period (Ts) by the integral gain (Ki), adding the product to the allowable band signal (vb), and making the timer signal that; And
Changing the control signal s to a high level (1) when the control signal s is at a low level (0) and the modulation reference signal vr is greater than the allowable band signal vb;
Wherein the hysteresis pulse width modulation method comprises:
Providing a permissible band signal vb, a delayed permissible band signal vc, and a timer signal vt;
Setting a reference switching period (Ts), an integration gain (Ki), and a band margin (bm);
Increasing the timer signal vt to a constant slope with respect to time;
When the control signal s is at a high level 1 and the modulation reference signal vr is smaller than a negative value of the permissible band signal vb, the control signal s is changed to a low level 0 , The delayed permissible band signal vc is changed to the permissible band signal vb and the value obtained by subtracting the timer signal vt from the reference switching period Ts is multiplied by the integral gain Ki, (vb) and making the timer signal (vt) zero;
Changing the control signal s to a high level (1) when the control signal s is at a low level (0) and the modulation reference signal vr is greater than the allowable band signal vb;
When the control signal s is at a high level 1 and the modulation reference signal vr is greater than the allowable band signal vb plus the band margin bm, Changing to upper level; And
When the control signal s is at a low level and the modulation reference signal vr is smaller than a value obtained by subtracting the band margin bm from a negative value of the delayed permissible band signal vc, Changing the signal (ss) to the lower level;
Wherein the hysteresis pulse width modulation method comprises:
Providing an allowable band signal vb and a timer signal vt for each phase;
Setting a reference switching period (Ts) and an integration gain (Ki);
For each phase (m), increasing the timer signal (vt) with a constant slope with respect to time;
When the control signal s is at a high level 1 and the modulation reference signal vr is smaller than the negative value of the permissible band signal vb for each phase m, To a low level (0), multiplying a value obtained by subtracting the timer signal (vt) from twice the reference switching period (Ts) by the integral gain (Ki) and adding to the permissible band signal (vb) Making the signal (vt) zero; And
When the control signal s is at a low level (0) and the modulation reference signal (vr) is greater than the allowable band signal (vb) for each phase (m), the control signal (s) 1);
Wherein the hysteresis pulse width modulation method comprises:
Providing an allowable band signal (vb), a timer signal (vt), and a switching number signal (ns);
Setting a reference switching period (Ts) and an integration gain (Ki);
Increasing the timer signal vt to a constant slope with respect to time;
When the control signal s is at a high level 1 and the modulation reference signal vr is smaller than the negative value of the permissible band signal vb for each phase m, To a low level (0) and increasing the switching number signal (ns) by one;
When the control signal s is at a low level (0) and the modulation reference signal (vr) is greater than the allowable band signal (vb) for each phase (m), the control signal (s) 1) and increasing the switching number signal (ns) by one; And
Multiplying a value obtained by subtracting the timer signal (vt) from twice the reference switching period (Ts) by the integral gain (Ki) when the switching number signal (ns) becomes twice the number of phases (N) Adding to the permissible band signal vb, zeroing the timer signal vt, and making the switching number signal ns zero;
Wherein the hysteresis pulse width modulation method comprises:
Priority Applications (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| KR20130049852A KR20140131039A (en) | 2013-05-03 | 2013-05-03 | Hysteresis pulse width modulation method |
| PCT/KR2014/003901 WO2014178673A1 (en) | 2013-05-03 | 2014-05-01 | Pulse width modulation method for controlling power converter |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| KR20130049852A KR20140131039A (en) | 2013-05-03 | 2013-05-03 | Hysteresis pulse width modulation method |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR102092670B1 (en) * | 2018-11-23 | 2020-03-24 | 한국과학기술원 | A pulse width control circuit device with the ripple free circuit |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR102092670B1 (en) * | 2018-11-23 | 2020-03-24 | 한국과학기술원 | A pulse width control circuit device with the ripple free circuit |
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