CN113780670A - 基于两阶段的区域电网电动汽车调峰优化调度方法 - Google Patents

基于两阶段的区域电网电动汽车调峰优化调度方法 Download PDF

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CN113780670A
CN113780670A CN202111084409.2A CN202111084409A CN113780670A CN 113780670 A CN113780670 A CN 113780670A CN 202111084409 A CN202111084409 A CN 202111084409A CN 113780670 A CN113780670 A CN 113780670A
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秦文萍
杨镜司
姚宏民
景祥
张宇
朱志龙
黄倩
李晓舟
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Taiyuan University of Technology
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Abstract

本发明公开了一种基于两阶段的区域电网电动汽车调峰优化调度方法,涉及区域智能电网领域。该调度方法根据电动汽车(Electric vehicle,EV)负荷运行特性进行分类,分别建立刚性、可调度、灵活型和智能换电4种EV负荷模型;考虑EV参与调峰的各项成本,基于模糊层次分析法(Fuzzy analytic hierarchy process,FAHP)给出EV调峰定价策略;在第一阶段以负荷峰谷差最小为目标,并在此目标下对EV调峰定价进行决策,以降低电力系统调峰容量调整区域电网负荷分布;在第二阶段依托第一阶段得到的调峰定价曲线,以EV用户充电费用最小为目标安排EV负荷。本发明相比于主流调度策略可以更有效缓解区域电网的调峰压力,降低成本,减少负荷峰谷差,提高风电光伏的消纳水平。

Description

基于两阶段的区域电网电动汽车调峰优化调度方法
技术领域
本发明涉及区域智能电网领域,具体为一种基于两阶段的区域电网电动汽车调峰优化调度方法。
背景技术
随着“双碳目标”的提出以及新能源大规模并网,电力系统发展面临巨大的挑战。目前我国多地供电形势紧张,电力系统等效负荷峰谷差在逐步增大,调峰压力也越来越大,需在用电高峰期实行错峰用电。EV作为一种新型负荷,具有可调度性和灵活性,既能将EV负荷转移到系统低谷时期,实现削峰填谷,又能通过EV馈电增强系统调峰能力。通过合理的激励引导EV充放电参与系统调峰具有重要意义,但是目前还没有成熟的EV参与调峰定价策略,相应的区域电网优化调度策略也有待进一步研究。因此,亟待建立一种电动汽车参与调峰定价策略的区域电网两阶段优化调度方法。
发明内容
本发明为了解决电力系统等效负荷峰谷差与调峰压力逐步增大、EV参与调峰还没有成熟的定价策略以及EV参与调峰积极性不高的问题,提供了一种基于两阶段的区域电网电动汽车调峰优化调度方法。
本发明是通过如下技术方案来实现的:一种基于两阶段的区域电网电动汽车调峰优化调度方法,根据电动汽车(Electric vehicle,EV)负荷运行特性进行分类,分别建立刚性、可调度、灵活型和智能换电4种EV负荷模型;考虑EV参与调峰的各项成本,基于模糊层次分析法(Fuzzy analytic hierarchy process,FAHP)给出EV调峰定价策略;在第一阶段以负荷峰谷差最小为目标,并在此目标下对EV调峰定价进行决策,以降低电力系统调峰容量调整区域电网负荷分布;在第二阶段依托第一阶段得到的调峰定价曲线,以EV用户充电费用最小为目标安排EV负荷。该优化调度方法包括综述为:在对EV负荷进行分类建模的基础上,首先基于模糊层次分析法FAHP,计及各项成本给出EV参与调峰的定价策略及模型;然后利用两阶段优化对区域电网进行优化调度,第一阶段给出定价曲线,第二阶段在定价曲线基础上进行EV调峰优化调度,具体包括如下步骤:
1)将EV负荷分为刚性EV负荷、可调度EV负荷、灵活性EV负荷以及智能换电EV负荷;其中,刚性EV负荷与常规负荷接入电网特性相似,因此将其记为常规负荷;
①可调度EV负荷的数学模型如下:
Figure BDA0003265057010000021
Figure BDA0003265057010000022
Figure BDA0003265057010000023
Figure BDA0003265057010000024
式中,
Figure BDA0003265057010000025
是在t+1时必须增加的可调度EV负荷,
Figure BDA0003265057010000026
表示t+1时刻增加的负荷,
Figure BDA0003265057010000027
表示t+1时刻减少的负荷;Pc表示可调度EV的充电功率;
Figure BDA0003265057010000028
表示满足条件T0=t+1和Tb>T的可调度EV数量;
Figure BDA0003265057010000029
表示满足条件T0=t+1和Tb<T的可调度EV数量;
Figure BDA00032650570100000210
为满足条件T1=t+1或Cb=Cl的可调度EV数量;
Figure BDA00032650570100000211
表示EV在下一时刻的实际负荷量;
②灵活性EV负荷:
Figure BDA00032650570100000212
Figure BDA00032650570100000213
Pev,c=Cs[P1+P2-P0-Plim]
式中,Pc表示灵活性EV充电功率;Pd表示灵活性EV的放电功率;Cs表示电池容量;Pev,d表示EV的放电容量;Pev,c表示EV充电容量;t0表示EV在停止工作最后一次并网的时间,此时它的荷电状态为P0;tlim表示灵活性EV可参与馈电调度的最大时间点;t2是用户期望离网的时间;P2是在离网时用户的荷电状态期望值;
③智能换电EV负荷的数学模型如下:
Figure BDA00032650570100000214
Figure BDA00032650570100000215
Figure BDA0003265057010000031
Figure BDA0003265057010000032
Figure BDA0003265057010000033
式中,xn,t是换电需求,为0时表示不需要换电,为1时表示需要换电;Sn,t表示EV在t时刻的荷电状态;Sth表示EV的荷电状态阈值;SEV,t为t时刻EV换电需求量;
Figure BDA0003265057010000034
Figure BDA0003265057010000035
分别表示t时刻开始充电和结束放电的电池数量;Sc,t+1、Sd,t+1分别表示t+1时刻处于C状态和D状态的电池数量;
2)建立计及成本的电动汽车FAHP调峰定价模型:
FAHP是一种将决策问题按照总目标以及评判准则进行求解权重系数的方法,此方法适用于不同的评估对象,但对于不同的决策因素以及目标函数,权重系数会发生改变。该方法对于本文量化需求关系、政府激励以及竞争关系三种评价指标、选择最优权重系数提供了依据,增加了定价的准确性:
①EV参与调峰成本模型:
C=CGi+Cgrid+Cbat+Cs
式中,CGi、Cgrid、Cbat、Cs分别表示火电机组燃料成本、购电成本、锂电池运行与维护成本和场地建设成本;
a.火电机组燃料成本:
Figure BDA0003265057010000036
式中,
Figure BDA0003265057010000037
表示机组i在t时段的发电功率;ai,bi,ci表示机组i的燃料成本系数;
b.购电成本:
Figure BDA0003265057010000038
式中,Cbuy,t表示分时购电单价;Pbuy,t表示区域电力系统在t时段的购电功率;
c.锂电池运行与维护成本:
Figure BDA0003265057010000039
Figure BDA0003265057010000041
式中,Dod(t)表示锂电池在t时间段的放电深度;Nlife(t)表示锂电池在t时段放电深度为Dod(t)下的循环寿命;Cinv表示锂电池初始投资;Pbat(t)表示锂电池充放电功率;ELB表示锂电池额定容量;KML为锂电池的维护成本系数;
d.场地建设成本:
Cs=Crjzl+Crjgz+Crjsb
式中,Crjzl表示日均场地租赁费用;Crjgz表示聚合商日均服务费用;Crjsb表示日均设备成本;
②EV参与调峰定价模型:
Figure BDA0003265057010000042
R=KC
式中,D为货币之间的换算系数;Lh为EV参与调峰的补偿价格;R为调峰的单位容量定价,θ(Fi)由FAHP确定;
a.政府激励:
Figure BDA0003265057010000043
式中,U为单位阶跃函数,当t≥0时,U=1;当t<0时,U=0;PGi,max表示火电机组的最大容量;
b.需求关系:
F2=a-bPLd
式中,PLd表示EV等效负荷量,a,b表示电力市场逆需求函数参数;
c.竞争关系:
Figure BDA0003265057010000051
3)两阶段优化调度:
①第一阶段:将一天分为24个时间段,以1h为时间尺度,以为负荷峰谷差最小为目标,得到EV参与调峰的定价曲线:
a.目标函数:
Figure BDA0003265057010000052
式中,Pload,t,PEV,d,t,PEV,c,t分别表示t时段常规负荷量、EV向电网放电功率和负荷功率;PW,t,PPV,t分别表示t时段的风机和光伏发电功率;T为时间周期;
b.约束条件:
Ⅰ、区域电网功率平衡约束:
Pload,t+PEV,c,t=PEV,d,t+PW,t+PPV,t+Pgrid,t+PGi,t
式中,Pload,t表示常规负荷的负荷电量;PGi,t,Pgrid,t分别表示t时段火电机组及外部电网发电功率;
Ⅱ、可调度EV约束:
Figure BDA0003265057010000053
Figure BDA0003265057010000054
式中,
Figure BDA0003265057010000055
分别表示可调度EV充电容量上下限;
Figure BDA0003265057010000056
表示可调度EV充电容量;
Figure BDA0003265057010000057
表示可调度EV总负荷量;
Ⅲ、灵活性EV约束:
Figure BDA0003265057010000058
Figure BDA0003265057010000059
Figure BDA0003265057010000061
式中,
Figure BDA0003265057010000062
表示t时段灵活型EV的放电容量上限;
Figure BDA0003265057010000063
表示t时段灵活型EV的充电容量;
Figure BDA0003265057010000064
表示t时段灵活型EV放电容量;
Figure BDA0003265057010000065
表示灵活性EV总负荷量;
Ⅳ、智能换电EV约束:
0≤Sm,t,Sc,t,Sd,t,Sw,t≤Sb
Figure BDA0003265057010000066
0≤Sc,t+Sd,t≤kc
Figure BDA0003265057010000067
式中,kc表示充电机个数;
Figure BDA0003265057010000068
表示满电量电池最小值;
Ⅴ、火电机组爬坡约束:
-PGi,down≤PGi,t-PGi,t-1≤PGi,up
式中,PGi,down,PGi,up分别表示火电机组最大向下和最大向上爬坡速率;
(2)第二阶段:将一天分为96个时间段,时间尺度为15min,以EV用户充电费用最小为优化目标,包含日内BP神经网络模拟调度与日内优化调度,对EV参与区域电网调峰进行优化调度;
a.目标函数:
F2=min{R·(Pev,dp,t+Pev,f,t+Pev,ch,t)}
式中,Pev,dp,t,Pev,f,t,Pev,ch,t分别表示参与调峰的可调度EV、灵活型EV和智能换电EV的负荷量;
b.预测误差:
Figure BDA0003265057010000069
式中,ΔPS-PV(t)表示t时段预调度阶段模拟光伏功率与日前预测光伏功率差值;ΔPS-W(t)表示t时段预调度阶段模拟风机功率与日前预测风机功率差值;ΔPS-load(t)表示t时段预调度阶段模拟常规负荷功率与日前预测常规负荷功率差值。
与现有技术相比本发明具有以下有益效果:本发明所提供的一种基于两阶段的区域电网电动汽车调峰优化调度方法,将EV引入区域电网参与调峰,考虑预测误差及四种EV负荷实现日内调度并进行日后验证,相比于主流调度策略可以更有效缓解区域电网的调峰压力,降低成本,减少负荷峰谷差,提高风电光伏的消纳水平;将EV参与调峰与电力辅助服务市场结合,设计了基于各项成本和三个决策因素的定价模型。第一阶段以区域电网负荷峰谷差最小,第二阶段计及预测误差,以充电费用最小为目标进行调度与日后验证,可以提升EV参与调峰的积极性。
附图说明
图1是本发明涉及的可调度EV容量预测示意图。
图2是本发明涉及的智能换电EV电池状态转换图。
图3是本发明涉及的区域电网调度模型示意图。
图4是本发明涉及的可调度EV与灵活性EV的充放电容量图。
图5是本发明涉及的智能换电站中电池数量图。
图6是本发明涉及的第一阶段EV参与调峰的定价曲线图。
图7是本发明涉及的可调度EV在第二阶段的优化调度图。
图8是本发明涉及的智能换电EV在第二阶段的优化调度图。
图9是本发明涉及的灵活性EV在第二阶段充电优化调度图。
图10是本发明涉及的灵活性EV在第二阶段放电的优化调度图。
具体实施方式
以下结合具体实施例对本发明作进一步说明。
本实施例中的区域电网系统包含5台火电机组,具体参数如表1所示;16个80MW容量的风电场,1个50MW容量的光伏电站;电动汽车聚合商向大电网购电电价为:谷时段电价0.35元/kWh(00:00-7:00)、平时段电价0.68元/kWh(8:00-10:00,16:00-18:00,22:00-24:00)和峰时段电价1.18元/kWh(11:00-15:00,19:00-21:00);换电站参数如表2所示;政府激励措施、需求关系以及EV负荷与火电机组竞争关系三种因素的权重如表3所示。设置区域电网中有EV11000辆,分别为可调度EV5000辆,灵活性EV5000辆,智能换电EV1000辆,此时的电动汽车负荷量占区域电网总负荷约为14%。为了减少电池损耗,假设EV剩余电量20%-50%时充电,离网时间设置为7h,离网时期望负荷服从(80%-100%)的均匀分布。
表1火电机组基本参数
Figure BDA0003265057010000081
表2智能换电站基本参数
符号 数值 符号 数值
M 1000 P<sub>c</sub> 50kW
k<sub>c</sub> 250 T<sub>d</sub> 1h
S<sub>smin</sub> 100 SOC 50/kW
P<sub>d</sub> 50kW - -
表3定价模型各决策元素权重系数的确定
系数 θ(F<sub>1</sub>) θ(F<sub>2</sub>) θ(F<sub>3</sub>)
权重 0.3 0.4 0.3
一种基于两阶段的区域电网电动汽车调峰优化调度方法,包括对EV负荷进行分类建模;首先基于模糊层次分析法FAHP,计及各项成本给出EV参与调峰的定价策略及模型;然后利用两阶段优化对区域电网进行优化调度,第一阶段给出定价曲线,第二阶段在定价曲线基础上进行EV调峰优化调度,具体包括如下步骤:
1)将EV负荷分为刚性EV负荷、可调度EV负荷、灵活性EV负荷以及智能换电EV负荷;其中,刚性EV负荷记为常规负荷;
①可调度EV负荷的数学模型如下:
Figure BDA0003265057010000091
Figure BDA0003265057010000092
Figure BDA0003265057010000093
Figure BDA0003265057010000094
式中,
Figure BDA0003265057010000095
是在t+1时必须增加的可调度EV负荷,
Figure BDA0003265057010000096
表示t+1时刻增加的负荷,
Figure BDA0003265057010000097
表示t+1时刻减少的负荷;Pc表示可调度EV的充电功率;
Figure BDA0003265057010000098
表示满足条件T0=t+1和Tb>T的可调度EV数量;
Figure BDA0003265057010000099
表示满足条件T0=t+1和Tb<T的可调度EV数量;
Figure BDA00032650570100000910
为满足条件T1=t+1或Cb=Cl的可调度EV数量;
Figure BDA00032650570100000911
表示EV在下一时刻的实际负荷量;
②灵活性EV负荷:
Figure BDA00032650570100000912
Figure BDA00032650570100000913
Pev,c=Cs[P1+P2-P0-Plim]
式中,Pc表示灵活性EV充电功率;Pd表示灵活性EV的放电功率;Cs表示电池容量;Pev,d表示EV的放电容量;Pev,c表示EV充电容量;t0表示EV在停止工作最后一次并网的时间,此时它的荷电状态为P0;tlim表示灵活性EV可参与馈电调度的最大时间点;t2是用户期望离网的时间;P2是在离网时用户的荷电状态期望值;
③智能换电EV负荷的数学模型如下:
Figure BDA0003265057010000101
Figure BDA0003265057010000102
Figure BDA0003265057010000103
Figure BDA0003265057010000104
Figure BDA0003265057010000105
式中,xn,t是换电需求,为0时表示不需要换电,为1时表示需要换电;Sn,t表示EV在t时刻的荷电状态;Sth表示EV的荷电状态阈值;SEV,t为t时刻EV换电需求量;
Figure BDA0003265057010000106
Figure BDA0003265057010000107
分别表示t时刻开始充电和结束放电的电池数量;Sc,t+1、Sd,t+1分别表示t+1时刻处于C状态和D状态的电池数量;
2)建立计及成本的电动汽车FAHP调峰定价模型:
FAHP对于量化需求关系、政府激励以及竞争关系三种评价指标,为选择最优权重系数提供了依据;
①EV参与调峰成本模型:
C=CGi+Cgrid+Cbat+Cs
式中,CGi、Cgrid、Cbat、Cs分别表示火电机组燃料成本、购电成本、锂电池运行与维护成本和场地建设成本;
a.火电机组燃料成本:
Figure BDA0003265057010000108
式中,
Figure BDA0003265057010000109
表示机组i在t时段的发电功率;ai,bi,ci表示机组i的燃料成本系数;
b.购电成本:
Figure BDA00032650570100001010
式中,Cbuy,t表示分时购电单价;Pbuy,t表示区域电力系统在t时段的购电功率;
c.锂电池运行与维护成本:
Figure BDA0003265057010000111
Figure BDA0003265057010000112
式中,Dod(t)表示锂电池在t时间段的放电深度;Nlife(t)表示锂电池在t时段放电深度为Dod(t)下的循环寿命;Cinv表示锂电池初始投资;Pbat(t)表示锂电池充放电功率;ELB表示锂电池额定容量;KML为锂电池的维护成本系数;
d.场地建设成本:
Cs=Crjzl+Crjgz+Crjsb
式中,Crjzl表示日均场地租赁费用;Crjgz表示聚合商日均服务费用;Crjsb表示日均设备成本;
②EV参与调峰定价模型:
Figure BDA0003265057010000113
R=KC
式中,D为货币之间的换算系数,本实施例中为D=6.48;Lh为EV参与调峰的补偿价格;R为调峰的单位容量定价,θ(Fi)由FAHP确定;
a.政府激励:
Figure BDA0003265057010000114
式中,U为单位阶跃函数,当t≥0时,U=1;当t<0时,U=0;PGi,max表示火电机组的最大容量;
b.需求关系:
F2=a-bPLd
式中,PLd表示EV等效负荷量,a,b表示电力市场逆需求函数参数,本实施例中,a=12,b=0.06;
c.竞争关系:
Figure BDA0003265057010000121
3)两阶段优化调度:
①第一阶段:将一天分为24个时间段,以1h为时间尺度,以为负荷峰谷差最小为目标,得到EV参与调峰的定价曲线:
a.目标函数:
Figure BDA0003265057010000122
式中,Pload,t,PEV,d,t,PEV,c,t分别表示t时段常规负荷量、EV向电网放电功率和负荷功率;PW,t,PPV,t分别表示t时段的风机和光伏发电功率;T为时间周期;
b.约束条件:
Ⅰ、区域电网功率平衡约束:
Pload,t+PEV,c,t=PEV,d,t+PW,t+PPV,t+Pgrid,t+PGi,t
式中,Pload,t表示常规负荷的负荷电量;PGi,t,Pgrid,t分别表示t时段火电机组及外部电网发电功率;
Ⅱ、可调度EV约束:
Figure BDA0003265057010000123
Figure BDA0003265057010000124
式中,
Figure BDA0003265057010000125
分别表示可调度EV充电容量上下限;
Figure BDA0003265057010000126
表示可调度EV充电容量;
Figure BDA0003265057010000127
表示可调度EV总负荷量;
Ⅲ、灵活性EV约束:
Figure BDA0003265057010000128
Figure BDA0003265057010000131
Figure BDA0003265057010000132
式中,
Figure BDA0003265057010000133
表示t时段灵活型EV的放电容量上限;
Figure BDA0003265057010000134
表示t时段灵活型EV的充电容量;
Figure BDA0003265057010000135
表示t时段灵活型EV放电容量;
Figure BDA0003265057010000136
表示灵活性EV总负荷量;Ⅳ、智能换电EV约束:
0≤Sm,t,Sc,t,Sd,t,Sw,t≤Sb
Figure BDA0003265057010000137
0≤Sc,t+Sd,t≤kc
Figure BDA0003265057010000138
式中,kc表示充电机个数;
Figure BDA0003265057010000139
表示满电量电池最小值;
Ⅴ、火电机组爬坡约束:
-PGi,down≤PGi,t-PGi,t-1≤PGi,up
式中,PGi,down,PGi,up分别表示火电机组最大向下和最大向上爬坡速率;
(2)第二阶段:将一天分为96个时间段,时间尺度为15min,以EV用户充电费用最小为优化目标,包含日内BP神经网络模拟调度与日内优化调度,对EV参与区域电网调峰进行优化调度;
a.目标函数:
F2=min{R·(Pev,dp,t+Pev,f,t+Pev,ch,t)}
式中,Pev,dp,t,Pev,f,t,Pev,ch,t分别表示参与调峰的可调度EV、灵活型EV和智能换电EV的负荷量;
b.预测误差:
Figure BDA0003265057010000141
式中,ΔPS-PV(t)表示t时段预调度阶段模拟光伏功率与日前预测光伏功率差值;ΔPS-W(t)表示t时段预调度阶段模拟风机功率与日前预测风机功率差值;ΔPS-load(t)表示t时段预调度阶段模拟常规负荷功率与日前预测常规负荷功率差值。
图4是可调度EV和灵活性EV的容量上下限图,图5是智能换电EV各个状态的电池数量图,为初始数据。
图6是经过第一阶段优化之后得到的EV定价曲线图,当到达用电高峰期时,即11:00-13:00和19:00-22:00时,相应的EV充电定价最高,为225-389元/MW.h,此时EV参与调峰,充电需求较少,充电费用最低;当到达用电低谷期,即00:00-7:00、16:00-18:00和23:00-24:00时,相应的EV充电定价最低,此时EV有较大的充电需求,相对来说充电费用也会较低。说明本发明的定价策略和模型是可行的。
图7、图8分别表示可调度EV和智能换电EV在第二阶段优化之后得到的日内实际功率和日后最优功率对比图,可调度EV负荷的日内调度功率与日后验证功率曲线大体一致,但是在17:00-18:00和20:00-22:00有较大偏差,这是因为可调度EV的可调度容量较大,在参与调度时允许出现较大误差。智能换电EV的日内调度功率与日后验证曲线基本一致,但在11:00-13:00有较大差别,这是因为换电站既需要满足电池满状态数量要求,又需要在区域电网内用电高峰期时充当放电单元。
图9、图10分别表示灵活性EV的充电、放电在第二阶段优化之后得到的日内实际功率和日后最优功率对比图。灵活性EV的日内充放电调度功率和日后验证曲线基本一致,不仅平抑了充电过程中大部分时段的波动尖峰,还对放电功率进行了调整,在用电高低峰时期的充放电特征明显。
图7-10充分说明了本发明提出的EV参与调峰的策略时可行的,同时该发明的两阶段优化调度方法也是合理的。
本发明要求保护的范围不限于以上具体实施方式,而且对于本领域技术人员而言,本发明可以有多种变形和更改,凡在本发明的构思与原则之内所作的任何修改、改进和等同替换都应包含在本发明的保护范围之内。

Claims (3)

1.一种基于两阶段的区域电网电动汽车调峰优化调度方法,其特征在于:包括对EV负荷进行分类建模;首先基于模糊层次分析法FAHP,计及各项成本给出EV参与调峰的定价策略及模型;然后利用两阶段优化对区域电网进行优化调度,第一阶段给出定价曲线,第二阶段在定价曲线基础上进行EV调峰优化调度,具体包括如下步骤:
1)将EV负荷分为刚性EV负荷、可调度EV负荷、灵活性EV负荷以及智能换电EV负荷;其中,刚性EV负荷记为常规负荷;
①可调度EV负荷的数学模型如下:
Figure FDA0003265057000000011
Figure FDA0003265057000000012
Figure FDA0003265057000000013
Figure FDA0003265057000000014
式中,
Figure FDA0003265057000000015
是在t+1时必须增加的可调度EV负荷,
Figure FDA0003265057000000016
表示t+1时刻增加的负荷,
Figure FDA0003265057000000017
表示t+1时刻减少的负荷;Pc表示可调度EV的充电功率;
Figure FDA0003265057000000018
表示满足条件T0=t+1和Tb>T的可调度EV数量;
Figure FDA0003265057000000019
表示满足条件T0=t+1和Tb<T的可调度EV数量;
Figure FDA00032650570000000110
为满足条件T1=t+1或Cb=Cl的可调度EV数量;
Figure FDA00032650570000000111
表示EV在下一时刻的实际负荷量;
②灵活性EV负荷:
Figure FDA00032650570000000112
Figure FDA00032650570000000113
Pev,c=Cs[P1+P2-P0-Plim]
式中,Pc表示灵活性EV充电功率;Pd表示灵活性EV的放电功率;Cs表示电池容量;Pev,d表示EV的放电容量;Pev,c表示EV充电容量;t0表示EV在停止工作最后一次并网的时间,此时它的荷电状态为P0;tlim表示灵活性EV可参与馈电调度的最大时间点;t2是用户期望离网的时间;P2是在离网时用户的荷电状态期望值;
③智能换电EV负荷的数学模型如下:
Figure FDA0003265057000000021
Figure FDA0003265057000000022
Figure FDA0003265057000000023
Figure FDA0003265057000000024
Figure FDA0003265057000000025
式中,xn,t是换电需求,为0时表示不需要换电,为1时表示需要换电;Sn,t表示EV在t时刻的荷电状态;Sth表示EV的荷电状态阈值;SEV,t为t时刻EV换电需求量;
Figure FDA0003265057000000026
Figure FDA0003265057000000027
分别表示t时刻开始充电和结束放电的电池数量;Sc,t+1、Sd,t+1分别表示t+1时刻处于C状态和D状态的电池数量;
2)建立计及成本的电动汽车FAHP调峰定价模型:
FAHP对于量化需求关系、政府激励以及竞争关系三种评价指标,为选择最优权重系数提供了依据;
①EV参与调峰成本模型:
C=CGi+Cgrid+Cbat+Cs
式中,CGi、Cgrid、Cbat、Cs分别表示火电机组燃料成本、购电成本、锂电池运行与维护成本和场地建设成本;
a.火电机组燃料成本:
Figure FDA0003265057000000028
式中,
Figure FDA0003265057000000029
表示机组i在t时段的发电功率;ai,bi,ci表示机组i的燃料成本系数;
b.购电成本:
Figure FDA00032650570000000210
式中,Cbuy,t表示分时购电单价;Pbuy,t表示区域电力系统在t时段的购电功率;
c.锂电池运行与维护成本:
Figure FDA0003265057000000031
Figure FDA0003265057000000032
式中,Dod(t)表示锂电池在t时间段的放电深度;Nlife(t)表示锂电池在t时段放电深度为Dod(t)下的循环寿命;Cinv表示锂电池初始投资;Pbat(t)表示锂电池充放电功率;ELB表示锂电池额定容量;KML为锂电池的维护成本系数;
d.场地建设成本:
Cs=Crjzl+Crjgz+Crjsb
式中,Crjzl表示日均场地租赁费用;Crjgz表示聚合商日均服务费用;Crjsb表示日均设备成本;
②EV参与调峰定价模型:
Figure FDA0003265057000000033
R=KC
式中,D为货币之间的换算系数;Lh为EV参与调峰的补偿价格;R为调峰的单位容量定价,θ(Fi)由FAHP确定;
a.政府激励:
Figure FDA0003265057000000034
式中,U为单位阶跃函数,当t≥0时,U=1;当t<0时,U=0;PGi,max表示火电机组的最大容量;
b.需求关系:
F2=a-bPLd
式中,PLd表示EV等效负荷量,a,b表示电力市场逆需求函数参数;
c.竞争关系:
Figure FDA0003265057000000041
3)两阶段优化调度:
①第一阶段:将一天分为24个时间段,以1h为时间尺度,以为负荷峰谷差最小为目标,得到EV参与调峰的定价曲线:
a.目标函数:
Figure FDA0003265057000000042
式中,Pload,t,PEV,d,t,PEV,c,t分别表示t时段常规负荷量、EV向电网放电功率和负荷功率;PW,t,PPV,t分别表示t时段的风机和光伏发电功率;T为时间周期;
b.约束条件:
Ⅰ、区域电网功率平衡约束:
Pload,t+PEV,c,t=PEV,d,t+PW,t+PPV,t+Pgrid,t+PGi,t
式中,Pload,t表示常规负荷的负荷电量;PGi,t,Pgrid,t分别表示t时段火电机组及外部电网发电功率;
Ⅱ、可调度EV约束:
Figure FDA0003265057000000043
Figure FDA0003265057000000044
式中,
Figure FDA0003265057000000045
分别表示可调度EV充电容量上下限;
Figure FDA0003265057000000046
表示可调度EV充电容量;
Figure FDA0003265057000000047
表示可调度EV总负荷量;
Ⅲ、灵活性EV约束:
Figure FDA0003265057000000048
Figure FDA0003265057000000051
Figure FDA0003265057000000052
式中,
Figure FDA0003265057000000053
表示t时段灵活型EV的放电容量上限;
Figure FDA0003265057000000054
表示t时段灵活型EV的充电容量;
Figure FDA0003265057000000055
表示t时段灵活型EV放电容量;
Figure FDA0003265057000000056
表示灵活性EV总负荷量;Ⅳ、智能换电EV约束:
0≤Sm,t,Sc,t,Sd,t,Sw,t≤Sb
Figure FDA0003265057000000057
0≤Sc,t+Sd,t≤kc
Figure FDA0003265057000000058
式中,kc表示充电机个数;
Figure FDA0003265057000000059
表示满电量电池最小值;
Ⅴ、火电机组爬坡约束:
-PGi,down≤PGi,t-PGi,t-1≤PGi,up
式中,PGi,down,PGi,up分别表示火电机组最大向下和最大向上爬坡速率;
(2)第二阶段:将一天分为96个时间段,时间尺度为15min,以EV用户充电费用最小为优化目标,包含日内BP神经网络模拟调度与日内优化调度,对EV参与区域电网调峰进行优化调度;
a.目标函数:
F2=min{R·(Pev,dp,t+Pev,f,t+Pev,ch,t)}
式中,Pev,dp,t,Pev,f,t,Pev,ch,t分别表示参与调峰的可调度EV、灵活型EV和智能换电EV的负荷量;
b.预测误差:
Figure FDA0003265057000000061
式中,ΔPS-PV(t)表示t时段预调度阶段模拟光伏功率与日前预测光伏功率差值;ΔPS-W(t)表示t时段预调度阶段模拟风机功率与日前预测风机功率差值;ΔPS-load(t)表示t时段预调度阶段模拟常规负荷功率与日前预测常规负荷功率差值。
2.根据权利要求1所述的一种基于两阶段的区域电网电动汽车调峰优化调度方法,其特征在于:所述货币之间的换算系数D=6.48。
3.根据权利要求1所述的一种基于两阶段的区域电网电动汽车调峰优化调度方法,其特征在于:所述电力市场逆需求函数参数a,b分别取值为12和0.06。
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