MMC CAPACITOR VOLTAGE BALANCING IN NEAREST LEVEL CONTROL
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1 MMC CAPACITOR VOLTAGE BALANCING IN NEAREST LEVEL CONTROL Mattia Ricco Aalborg University, Energy Technology Department, Pontoppidanstæde 111, 9000 Aalborg, Denmark
2 Outline Introduction Sorting Methods for NLC Proposed Solutions: Sorting Networks Capacitor Voltage Mapping Strategy Conclusions
3 Structure of MMC I dc V dc /2 V dc /2 i au V au V al Phase C Phase B Phase A#1 #1 SM 1,u #2 SM 2,u SM N,u SM 1,l SM 2,l n #1 #2 n #2 n R arm #1 R arm #2 n L arm L arm L arm L arm L arm L arm S1 D1 i SM C V SM S2 D2 i c L g i b i a L g L g grid V C Advantages: Reduced harmonics High modularity Scalability Low switching losses High reliability Fault tolerance Challenges: Circulating Current Control Loss balance among SMs Capacitor Voltage Balancing Complex control SM N,l i al 3
4 Control scheme of MMC V dc i a i au i al ΣV C 1/2 Outer Current Control + - V ref V ref,l V ref,u + + Circulating Current Control Averaging Control V alc V auc N N Maximum Sampling Period T s : TT ss = 1 ππ NN ff 1 N = number of SMs f 1 = 50 Hz */ */ */ */ lower upper NLC Sorting Method NLC N al N au i au i al CVB SM Selection TT eeee TT ss N N Switching pulses 4
5 Outline Introduction Sorting Methods for NLC Proposed Solutions: Sorting Networks Capacitor Voltage Mapping Strategy Conclusions
6 Sorting Methods for NLC Advantage: Easy to implement. Bubble Sorting Algorithm Drawbacks: The execution time is not fixed and it depends on the input list. The execution time increases when N grows. Max/Min Approach Advantage: Easy to implement. The sorting method is avoided. Less execution time than Bubble sorting algorithm. Drawbacks: If more than one SM has to be inserted, for example during faults, the max/min method needs more sampling periods to insert the required SMs. This affects the control dynamic. 6
7 Sorting Methods for NLC Advantage: Reduced switching frequency. Drawbacks: A sorting method is required. Tolerance Band 7
8 Outline Introduction Sorting Methods for NLC Proposed Solutions: Sorting Networks Capacitor Voltage Mapping Strategy Conclusions
9 Sorting Networks The Sorting Networks are typically good solutions for FPGA: o Even-Odd Sorting Network o Bitonic Sorting Network They are faster than the sorting algorithms due to the parallel construction. N = 4 0 Bitonic Sorting Networks with N = 8 Compare & Swap Operator M. Ricco, L. Mathe and R. Teodorescu, "FPGA-based implementation of sorting networks in MMC applications," th European Conference on Power Electronics and Applications (EPE'16 ECCE Europe), Karlsruhe, 2016, pp
10 Sorting Networks The Sorting Networks are typically good solutions for FPGA: o Even-Odd Sorting Network o Bitonic Sorting Network They are faster than the sorting algorithms due to the parallel construction. M. Ricco, L. Mathe and R. Teodorescu, "FPGA-based implementation of sorting networks in MMC applications," th European Conference on Power Electronics and Applications (EPE'16 ECCE Europe), Karlsruhe, 2016, pp
11 Outline Introduction Sorting Methods for NLC Proposed Solutions: Sorting Networks Capacitor Voltage Mapping Strategy Conclusions
12 Capacitor Voltage Mapping Strategy M. Ricco, L. Mathe and R. Teodorescu, "New MMC capacitor voltage balancing using sorting-less strategy in nearest level control," 2016 IEEE Energy Conversion Congress and Exposition (ECCE), Milwaukee, WI, 2016, pp
13 Capacitor Voltage Mapping Strategy VV CCmmmmmm and VV CCmmmmmm are derived from the design parameters. 13
14 Capacitor Voltage Mapping Strategy VV = VV CC mmmmmm VV CCmmmmmm MM 14
15 Capacitor Voltage Mapping Strategy 15
16 Capacitor Voltage Mapping Strategy M FIFO Memory Voltage Resolution Memory depth equal to N The position is stored in the cell VV CCmmmmmm = 14 V ΔV = 0,5 V Inside a voltage range the capacitor voltage values are considered to be identical 16
17 Simulation Results Table: MMC parameters Parameter Value DC-link Voltage VV DDDD 200 kv SM Capacitor CC 36 µf Arm Inductance LL aaaaaa 50 mh Arm Resistance RR aaaaaa 1 Ω Number of SM NN 16 Sampling frequency ff ss 10 khz Bubble Sorting Algorithm CVMS with M = 8 CVMS with M = 16 CVMS with M = 32 Table: grid parameters Parameter Value Grid frequency ff gggggggg 50 Hz Grid Voltage VV gggggggg kv Grid Inductance LL gggggggg 16.7 mh Grid Resistance RR gggggggg 0.52 Ω CVMS with M = 64 CVMS with M =
18 HIL Results 18
19 Outline Introduction Sorting Methods for NLC Proposed Solutions: Sorting Networks Capacitor Voltage Mapping Strategy Conclusions
20 Conclusions Two solutions have been proposed for the capacitor voltage balancing algorithm: Sorting Networks Capacitor Voltage Mapping Strategy The simulation results for the CVMS have been shown. The HIL results have also been presented. 20
21
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