三电平双有源混合全桥DC-DC变换器最小回流功率控制

doi:10.16183/j.cnki.jsjtu.2021.493

摘要/Abstract

摘要：

三电平双有源混合全桥(H-TLFB)DC-DC变换器通过引入三电平桥臂提高输入电压范围.针对该变换器在传统双重移相控制下具有较大的功率回流、较高的电流应力等问题,提出一种最小回流功率控制策略.首先分析H-TLFB DC-DC变换器功率传输特性,比较变换器在两种不同工作模式下回流功率值的大小,并根据回流功率与电压比、移相比、传输功率的数学关系,计算出回流功率达到最小时对应的最优移相比,并设计相应优化控制策略.与传统双重移相控制策略相比,最小回流功率控制策略下的回流功率可以在全功率传输范围内达到最小值,并且在一定的电压比范围内,回流功率、电流应力可以同时得到优化.最后,通过实验验证设计控制策略的正确性和可行性.

关键词: 三电平双有源混合全桥DC-DC变换器, 移相控制, 回流功率, 传输效率, 电流应力

Abstract:

Hybrid three-level full bridge (H-TLFB) DC-DC converters increase the input voltage range by introducing a three-level bridge arm. Aimed at the problems of large power return and high current stress in the traditional dual phase shift control, a minimum return power control strategy is proposed. First, the power transmission characteristics of H-TLFB DC-DC converter are analyzed, the size of the return power value of the converter in two different operating modes is compared, and the optimal shift of the return power is calculated according to the mathematical relationship between the return power and the voltage ratio, the shift and the transmission power. The corresponding optimal shift of the return power is calculated, and the corresponding optimization control strategy is designed. Compared with the traditional dual phase shift control strategy, the return power in the minimum return power control strategy can reach the minimum value in the full power transmission range, and within a certain voltage ratio range, the return power and current stress can be optimized at the same time. Finally, the correctness and feasibility of the design control strategy are verified by experiments.

Key words: hybrid three-level full bridge (H-TLFB) DC-DC converter, phase shift control, backflow power, transmission efficiency, current stress

中图分类号:

TM564

陶海军, 张金生, 肖群星, 郑征. 三电平双有源混合全桥DC-DC变换器最小回流功率控制[J]. 上海交通大学学报, 2023, 57(5): 521-532.

TAO Haijun, ZHANG Jinsheng, XIAO Qunxing, ZHENG Zheng. Minimum Return Power Control for Three-Level Dual Active Hybrid Full-Bridge DC-DC Converters[J]. Journal of Shanghai Jiao Tong University, 2023, 57(5): 521-532.

图/表 25

图1

图2

图3

表1

模式A下等效电感电流值

$i L r$ (t)	0≤D₁≤D₂≤1
$i L r$ (t₀)	[V₁(D₁-1)-nV₂(D₁+2D₂-1)]/(4L_rf_s)
$i L r$ (t₁)	[V₁(D₁-1)-nV₂(-D₁+2D₂-1)]/(4L_rf_s)
$i L r$ (t₂)	[V₁(-D₁+2D₂-1)-nV₂(D₁-1)]/(4L_rf_s)
$i L r$ (t₃)	[V₁(D₁+2D₂-1)-nV₂(D₁-1)]/(4L_rf_s)

表1

表2

模式B下等效电感电流值

$i L r$ (t)	0≤D₂≤D₁≤1
$i L r$ (t₀)	[V₁(D₁-1)-nV₂(D₁+2D₂-1)]/(4L_rf_s)
$i L r$ (t₁)	[V₁(D₁-1)+nV₂(1-D₁)]/(4L_rf_s)
$i L r$ (t₂)	[V₁(D₁-1)+nV₂(1-D₁)]/(4L_rf_s)
$i L r$ (t₃)	[V₁(D₁+2D₂-1)+nV₂(1-D₁)]/(4L_rf_s)

表2

表3

模式A下变换器传输功率、回流功率值

模式A	功率表达式
$P t *$	4D₂-4 $D 22$ -2 $D 12$
$P c *$	[k(1-D₁)+2D₂-D₁-1]²/[2(k+1)]

表3

表4

模式B下变换器传输功率、回流功率值

模式B	功率表达式
$P t *$	4D₂-4D₁D₂-2 $D 22$
$P c *$	[(k-1)(1-D₁)]²/(2k)

表4

图4

图5

图6

表5

模式B下对应的最优移相比组合

P₀	D_1,Bmin	D_2,Bmin
0<P₀≤1/2	1- $P 0 / 2$	$P 2 / 2$
1/2<P₀≤2/3	$2 + 4 - 6 P 0 6$	$2 + 4 - 6 P 0 6$

表5

表6

不同传输功率范围对应的最优移相比

P₀	k	D_1,min
0<P₀≤1/2	k≥1	1- $P 0 / 2$
1/2<P₀<2/3	1≤k<k₂	$2 + 4 - 6 P 0 6$
	k≥k₂	(1+k) $1 - P 0 2 (k + 1) 2 + 4$
2/3≤P₀≤1	k≥1	(1+k) $1 - P 0 2 (k + 1) 2 + 4$

表6

表7

最优移相比对应的最小回流功率值

D_1,min	D_2,min	$P c, m i n *$
1- $P 0 / 2$	$P 0 / 2$	$P 0 (k - 1) 2 4 k$
$2 + 4 - 6 P 0 6$	$2 + 4 - 6 P 0 6$	$[(k - 1) (4 - 4 - 6 P 0)] 2 72 (k + 1)$
(1+k) $1 - P 0 2 (k + 1) 2 + 4$	$12 - 1 - P 0 2 (k + 1) 2 + 4$	$k - (1 - P 0) (k 2 + 2 k + 3) 2 2 2 (k + 1)$

表7

图7

图8

图9

图10

图11

图12

表8

图13

图14

图15

图16

图17

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主电路参数	取值
f_s/kHz	10
n	1
L_r/μH	60
C₁, C₂/mF	0.25
C₃/mF	1