李宗鑒 戴瑜興 鄭崇偉 畢大強(qiáng) 郜克存 隋學(xué)禮
摘 要: 針對(duì)單相并網(wǎng)變流系統(tǒng)采用傳統(tǒng)的比例積分(PI)控制器在跟蹤并網(wǎng)電流指令時(shí)存在穩(wěn)態(tài)誤差,以及傳統(tǒng)的比例諧振(PR)控制器在離散化過(guò)程中存在諧振點(diǎn)偏移的缺陷,提出一種新的離散比例諧振(DPR)控制器。該控制器包含比例項(xiàng),前饋?lái)?xiàng)和諧振項(xiàng)。諧振項(xiàng)采用一組離散二階狀態(tài)方程實(shí)現(xiàn),替代傳統(tǒng)PR控制器離散化后的二階差分方程,能使控制器具有無(wú)靜差的穩(wěn)態(tài)特性。與傳統(tǒng)PR控制器相比,由于諧振項(xiàng)直接采用離散狀態(tài)方程實(shí)現(xiàn),DPR控制器不會(huì)因?yàn)殡x散過(guò)程導(dǎo)致諧振點(diǎn)偏移而影響控制器性能。最后通過(guò)實(shí)驗(yàn)驗(yàn)證了該方法的有效性。
關(guān)鍵詞: 并網(wǎng)逆變器; 并網(wǎng)電流; 比例諧振; 無(wú)靜差
中圖分類(lèi)號(hào): TN710?34; TM494 文獻(xiàn)標(biāo)識(shí)碼: A 文章編號(hào): 1004?373X(2014)17?0154?03
Abstract: Since the single?phase grid?connected Converter system with traditional PI controller has steady?state error in tracking the grid?connected current instruction, and traditional proportion resonant (PR) controller has defects of the resonant point shift in the discretization process, a new discrete proportion resonant (DPR) controller is proposed in this paper. The controller contains proportional, feedforward and resonant terms. A set of discrete second?order state equation is adopted for implementation of the resonant term to replace the second?order differential equation of traditional PR controller after discretization. It can make the controller has non?static error characteristics. Compared with the traditional PR controller, DPR controller will not result in resonance point shift by discrete process and then affect controller performance because the resonant term is directly realized by the discrete state equation. The effectiveness of the method was verified by experiments.
Keywords: grid?connected converter; grid?connected current; proportion resonance; non?static error
0 引 言
單相并網(wǎng)變流器采用傳統(tǒng)的PI控制作為并網(wǎng)電流內(nèi)環(huán)控制器時(shí),因?yàn)椴⒕W(wǎng)電流指令是與電網(wǎng)電壓同頻同相的正弦量, PI控制器無(wú)法使并網(wǎng)電流無(wú)靜差的跟蹤并網(wǎng)電流指令,從而不利于并網(wǎng)逆變器的單位功率因數(shù)并網(wǎng)。比例諧振(PR)控制器[1?4]具有對(duì)交流無(wú)靜差跟蹤的穩(wěn)態(tài)特性,因此受到廣泛關(guān)注。但傳統(tǒng)的PR控制器一般采用在連續(xù)域設(shè)計(jì),再離散成差分方程實(shí)現(xiàn),其離散化過(guò)程復(fù)雜,且在離散化過(guò)程中,會(huì)造成諧振點(diǎn)的偏移[5?6],其偏移程度一般隨采樣周期的增大而增大,從而使PR控制器失去對(duì)期望頻率點(diǎn)無(wú)靜差跟蹤能力。
對(duì)此,本文提出一種單相離散比例諧振(DPR)控制器,其諧振項(xiàng)直接在離散域設(shè)計(jì),采用二階狀態(tài)方程實(shí)現(xiàn),諧振頻率穩(wěn)定,不受系統(tǒng)采樣周期影響,結(jié)構(gòu)簡(jiǎn)單,易于數(shù)字實(shí)現(xiàn)。實(shí)驗(yàn)驗(yàn)證了該控制方法的有效性。
3 結(jié) 論
本文提出的DPR控制器,其諧振點(diǎn)不受采樣周期的影響,具有對(duì)并網(wǎng)電流指令無(wú)靜差的跟蹤特性, 對(duì)比實(shí)驗(yàn)驗(yàn)證了DPR控制方法比傳統(tǒng)PI控制方法的優(yōu)越性。
參考文獻(xiàn)
[1] 黃如海,謝少軍.基于比例諧振調(diào)節(jié)器的逆變器雙環(huán)控制策略研究[J].電工技術(shù)學(xué)報(bào),2012(2):77?81.
[2] 李立,趙葵銀,徐昕遠(yuǎn),等.單相PWM整流器比例諧振控制與前饋補(bǔ)償控制[J].電力系統(tǒng)保護(hù)與控制,2010(9):75?79.
[3] 馬琳,金新民,唐芬,等.三相并網(wǎng)逆變器比例諧振控制及其網(wǎng)壓前饋問(wèn)題分析[J].電工技術(shù)學(xué)報(bào),2012(8):56?63.
[4] 孟建輝,石新春,付超,等.基于PR控制的光伏并網(wǎng)電流優(yōu)化控制[J].電力自動(dòng)化設(shè)備,2014(2):42?47.
[5] YEPES A G, FREIJEDO F D, LOPEZ O, et al. High?performance digital resonant controllers implemented with two integrators [J]. IEEE Transactions on Power Electronics, 2011, 2: 563?576.
[6] KELLER J P, ANDERSON B D O. A new approach to the discretization of continuous?time controllers [C]// American Control Conference. USA: IEEE, 1990: 1127?1133.
[7] 劉紅,李赟,徐宗發(fā).應(yīng)用于三相并網(wǎng)逆變器的PR解耦控制器[J].電力電子技術(shù),2013(4):14?16.
[8] 趙新,金新民,周飛,等.采用降階諧振調(diào)節(jié)器的并網(wǎng)逆變器鎖頻環(huán)技術(shù)[J].中國(guó)電機(jī)工程學(xué)報(bào),2013,33(15):38?44.
[9] 陳曉云,王維慶.基于比例諧振和諧波補(bǔ)償?shù)哪孀兤麟娏骺刂芠J].電源技術(shù),2010(7):691?695.
[10] 馬琳,金新民,唐芬,等.小功率單相并網(wǎng)逆變器并網(wǎng)電流的比例諧振控制[J].北京交通大學(xué)學(xué)報(bào),2010(2):128?132.
摘 要: 針對(duì)單相并網(wǎng)變流系統(tǒng)采用傳統(tǒng)的比例積分(PI)控制器在跟蹤并網(wǎng)電流指令時(shí)存在穩(wěn)態(tài)誤差,以及傳統(tǒng)的比例諧振(PR)控制器在離散化過(guò)程中存在諧振點(diǎn)偏移的缺陷,提出一種新的離散比例諧振(DPR)控制器。該控制器包含比例項(xiàng),前饋?lái)?xiàng)和諧振項(xiàng)。諧振項(xiàng)采用一組離散二階狀態(tài)方程實(shí)現(xiàn),替代傳統(tǒng)PR控制器離散化后的二階差分方程,能使控制器具有無(wú)靜差的穩(wěn)態(tài)特性。與傳統(tǒng)PR控制器相比,由于諧振項(xiàng)直接采用離散狀態(tài)方程實(shí)現(xiàn),DPR控制器不會(huì)因?yàn)殡x散過(guò)程導(dǎo)致諧振點(diǎn)偏移而影響控制器性能。最后通過(guò)實(shí)驗(yàn)驗(yàn)證了該方法的有效性。
關(guān)鍵詞: 并網(wǎng)逆變器; 并網(wǎng)電流; 比例諧振; 無(wú)靜差
中圖分類(lèi)號(hào): TN710?34; TM494 文獻(xiàn)標(biāo)識(shí)碼: A 文章編號(hào): 1004?373X(2014)17?0154?03
Abstract: Since the single?phase grid?connected Converter system with traditional PI controller has steady?state error in tracking the grid?connected current instruction, and traditional proportion resonant (PR) controller has defects of the resonant point shift in the discretization process, a new discrete proportion resonant (DPR) controller is proposed in this paper. The controller contains proportional, feedforward and resonant terms. A set of discrete second?order state equation is adopted for implementation of the resonant term to replace the second?order differential equation of traditional PR controller after discretization. It can make the controller has non?static error characteristics. Compared with the traditional PR controller, DPR controller will not result in resonance point shift by discrete process and then affect controller performance because the resonant term is directly realized by the discrete state equation. The effectiveness of the method was verified by experiments.
Keywords: grid?connected converter; grid?connected current; proportion resonance; non?static error
0 引 言
單相并網(wǎng)變流器采用傳統(tǒng)的PI控制作為并網(wǎng)電流內(nèi)環(huán)控制器時(shí),因?yàn)椴⒕W(wǎng)電流指令是與電網(wǎng)電壓同頻同相的正弦量, PI控制器無(wú)法使并網(wǎng)電流無(wú)靜差的跟蹤并網(wǎng)電流指令,從而不利于并網(wǎng)逆變器的單位功率因數(shù)并網(wǎng)。比例諧振(PR)控制器[1?4]具有對(duì)交流無(wú)靜差跟蹤的穩(wěn)態(tài)特性,因此受到廣泛關(guān)注。但傳統(tǒng)的PR控制器一般采用在連續(xù)域設(shè)計(jì),再離散成差分方程實(shí)現(xiàn),其離散化過(guò)程復(fù)雜,且在離散化過(guò)程中,會(huì)造成諧振點(diǎn)的偏移[5?6],其偏移程度一般隨采樣周期的增大而增大,從而使PR控制器失去對(duì)期望頻率點(diǎn)無(wú)靜差跟蹤能力。
對(duì)此,本文提出一種單相離散比例諧振(DPR)控制器,其諧振項(xiàng)直接在離散域設(shè)計(jì),采用二階狀態(tài)方程實(shí)現(xiàn),諧振頻率穩(wěn)定,不受系統(tǒng)采樣周期影響,結(jié)構(gòu)簡(jiǎn)單,易于數(shù)字實(shí)現(xiàn)。實(shí)驗(yàn)驗(yàn)證了該控制方法的有效性。
3 結(jié) 論
本文提出的DPR控制器,其諧振點(diǎn)不受采樣周期的影響,具有對(duì)并網(wǎng)電流指令無(wú)靜差的跟蹤特性, 對(duì)比實(shí)驗(yàn)驗(yàn)證了DPR控制方法比傳統(tǒng)PI控制方法的優(yōu)越性。
參考文獻(xiàn)
[1] 黃如海,謝少軍.基于比例諧振調(diào)節(jié)器的逆變器雙環(huán)控制策略研究[J].電工技術(shù)學(xué)報(bào),2012(2):77?81.
[2] 李立,趙葵銀,徐昕遠(yuǎn),等.單相PWM整流器比例諧振控制與前饋補(bǔ)償控制[J].電力系統(tǒng)保護(hù)與控制,2010(9):75?79.
[3] 馬琳,金新民,唐芬,等.三相并網(wǎng)逆變器比例諧振控制及其網(wǎng)壓前饋問(wèn)題分析[J].電工技術(shù)學(xué)報(bào),2012(8):56?63.
[4] 孟建輝,石新春,付超,等.基于PR控制的光伏并網(wǎng)電流優(yōu)化控制[J].電力自動(dòng)化設(shè)備,2014(2):42?47.
[5] YEPES A G, FREIJEDO F D, LOPEZ O, et al. High?performance digital resonant controllers implemented with two integrators [J]. IEEE Transactions on Power Electronics, 2011, 2: 563?576.
[6] KELLER J P, ANDERSON B D O. A new approach to the discretization of continuous?time controllers [C]// American Control Conference. USA: IEEE, 1990: 1127?1133.
[7] 劉紅,李赟,徐宗發(fā).應(yīng)用于三相并網(wǎng)逆變器的PR解耦控制器[J].電力電子技術(shù),2013(4):14?16.
[8] 趙新,金新民,周飛,等.采用降階諧振調(diào)節(jié)器的并網(wǎng)逆變器鎖頻環(huán)技術(shù)[J].中國(guó)電機(jī)工程學(xué)報(bào),2013,33(15):38?44.
[9] 陳曉云,王維慶.基于比例諧振和諧波補(bǔ)償?shù)哪孀兤麟娏骺刂芠J].電源技術(shù),2010(7):691?695.
[10] 馬琳,金新民,唐芬,等.小功率單相并網(wǎng)逆變器并網(wǎng)電流的比例諧振控制[J].北京交通大學(xué)學(xué)報(bào),2010(2):128?132.
摘 要: 針對(duì)單相并網(wǎng)變流系統(tǒng)采用傳統(tǒng)的比例積分(PI)控制器在跟蹤并網(wǎng)電流指令時(shí)存在穩(wěn)態(tài)誤差,以及傳統(tǒng)的比例諧振(PR)控制器在離散化過(guò)程中存在諧振點(diǎn)偏移的缺陷,提出一種新的離散比例諧振(DPR)控制器。該控制器包含比例項(xiàng),前饋?lái)?xiàng)和諧振項(xiàng)。諧振項(xiàng)采用一組離散二階狀態(tài)方程實(shí)現(xiàn),替代傳統(tǒng)PR控制器離散化后的二階差分方程,能使控制器具有無(wú)靜差的穩(wěn)態(tài)特性。與傳統(tǒng)PR控制器相比,由于諧振項(xiàng)直接采用離散狀態(tài)方程實(shí)現(xiàn),DPR控制器不會(huì)因?yàn)殡x散過(guò)程導(dǎo)致諧振點(diǎn)偏移而影響控制器性能。最后通過(guò)實(shí)驗(yàn)驗(yàn)證了該方法的有效性。
關(guān)鍵詞: 并網(wǎng)逆變器; 并網(wǎng)電流; 比例諧振; 無(wú)靜差
中圖分類(lèi)號(hào): TN710?34; TM494 文獻(xiàn)標(biāo)識(shí)碼: A 文章編號(hào): 1004?373X(2014)17?0154?03
Abstract: Since the single?phase grid?connected Converter system with traditional PI controller has steady?state error in tracking the grid?connected current instruction, and traditional proportion resonant (PR) controller has defects of the resonant point shift in the discretization process, a new discrete proportion resonant (DPR) controller is proposed in this paper. The controller contains proportional, feedforward and resonant terms. A set of discrete second?order state equation is adopted for implementation of the resonant term to replace the second?order differential equation of traditional PR controller after discretization. It can make the controller has non?static error characteristics. Compared with the traditional PR controller, DPR controller will not result in resonance point shift by discrete process and then affect controller performance because the resonant term is directly realized by the discrete state equation. The effectiveness of the method was verified by experiments.
Keywords: grid?connected converter; grid?connected current; proportion resonance; non?static error
0 引 言
單相并網(wǎng)變流器采用傳統(tǒng)的PI控制作為并網(wǎng)電流內(nèi)環(huán)控制器時(shí),因?yàn)椴⒕W(wǎng)電流指令是與電網(wǎng)電壓同頻同相的正弦量, PI控制器無(wú)法使并網(wǎng)電流無(wú)靜差的跟蹤并網(wǎng)電流指令,從而不利于并網(wǎng)逆變器的單位功率因數(shù)并網(wǎng)。比例諧振(PR)控制器[1?4]具有對(duì)交流無(wú)靜差跟蹤的穩(wěn)態(tài)特性,因此受到廣泛關(guān)注。但傳統(tǒng)的PR控制器一般采用在連續(xù)域設(shè)計(jì),再離散成差分方程實(shí)現(xiàn),其離散化過(guò)程復(fù)雜,且在離散化過(guò)程中,會(huì)造成諧振點(diǎn)的偏移[5?6],其偏移程度一般隨采樣周期的增大而增大,從而使PR控制器失去對(duì)期望頻率點(diǎn)無(wú)靜差跟蹤能力。
對(duì)此,本文提出一種單相離散比例諧振(DPR)控制器,其諧振項(xiàng)直接在離散域設(shè)計(jì),采用二階狀態(tài)方程實(shí)現(xiàn),諧振頻率穩(wěn)定,不受系統(tǒng)采樣周期影響,結(jié)構(gòu)簡(jiǎn)單,易于數(shù)字實(shí)現(xiàn)。實(shí)驗(yàn)驗(yàn)證了該控制方法的有效性。
3 結(jié) 論
本文提出的DPR控制器,其諧振點(diǎn)不受采樣周期的影響,具有對(duì)并網(wǎng)電流指令無(wú)靜差的跟蹤特性, 對(duì)比實(shí)驗(yàn)驗(yàn)證了DPR控制方法比傳統(tǒng)PI控制方法的優(yōu)越性。
參考文獻(xiàn)
[1] 黃如海,謝少軍.基于比例諧振調(diào)節(jié)器的逆變器雙環(huán)控制策略研究[J].電工技術(shù)學(xué)報(bào),2012(2):77?81.
[2] 李立,趙葵銀,徐昕遠(yuǎn),等.單相PWM整流器比例諧振控制與前饋補(bǔ)償控制[J].電力系統(tǒng)保護(hù)與控制,2010(9):75?79.
[3] 馬琳,金新民,唐芬,等.三相并網(wǎng)逆變器比例諧振控制及其網(wǎng)壓前饋問(wèn)題分析[J].電工技術(shù)學(xué)報(bào),2012(8):56?63.
[4] 孟建輝,石新春,付超,等.基于PR控制的光伏并網(wǎng)電流優(yōu)化控制[J].電力自動(dòng)化設(shè)備,2014(2):42?47.
[5] YEPES A G, FREIJEDO F D, LOPEZ O, et al. High?performance digital resonant controllers implemented with two integrators [J]. IEEE Transactions on Power Electronics, 2011, 2: 563?576.
[6] KELLER J P, ANDERSON B D O. A new approach to the discretization of continuous?time controllers [C]// American Control Conference. USA: IEEE, 1990: 1127?1133.
[7] 劉紅,李赟,徐宗發(fā).應(yīng)用于三相并網(wǎng)逆變器的PR解耦控制器[J].電力電子技術(shù),2013(4):14?16.
[8] 趙新,金新民,周飛,等.采用降階諧振調(diào)節(jié)器的并網(wǎng)逆變器鎖頻環(huán)技術(shù)[J].中國(guó)電機(jī)工程學(xué)報(bào),2013,33(15):38?44.
[9] 陳曉云,王維慶.基于比例諧振和諧波補(bǔ)償?shù)哪孀兤麟娏骺刂芠J].電源技術(shù),2010(7):691?695.
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