1、Model Predictive Control of Vanadium Flow Batteries for Optimised Economic Benefit During Power ArbitrageShail Godiwala,Lai Wei,Jie Bao,Maria Skyllas-KazacosSchool of Chemical Engineering,University of New South Wales,AustraliaComputer Process Computer Process Control Group UNSWControl Group UNSWInt
2、roductionEfficient power arbitrage requires real-time control algorithmsCharging/discharging currentElectrolyte flow rateTo make profit from the dynamics of electricity pricesOptimise:charging/discharging current,flow rate,and the future SOC profileElectricity price prediction is never accurate Rece
3、ding horizon optimisationExisting power arbitrage algorithms for VFBs do not consider Vanadium ion diffusion across the membraneConcentration overpotentialFlow rateDischarge current Nominal current(during electricity price spikes)A novel power arbitrage algorithm that takes into account these effect
4、s has been developedDetailed electrochemical dynamicsDetailed hydraulic dynamicsVFB Model:Electrochemical DynamicsStateState-space Model of VFB Stack 1:space Model of VFB Stack 1:22=2 2+22 255 4423=3 3 33+355+24424=4 4 44+322+23325=5 5+55 233 33StateState-space Model of VFB Tank 1:space Model of VFB
5、 Tank 1:2=(2 2)3=(3 3)4=(4 4)5=5 5SOC of Both HalfSOC of Both Half-Cells:Cells:=22+3+=54+5VFB Cell/Stack Voltage 2:VFB Cell/Stack Voltage 2:=0+ln2534=+sign+=1 A.Tang,J.Bao and M.Skyllas-Kazacos,“Thermal modelling of battery configuration and self-discharge reactions in vanadium redox flow battery,”J
6、ournal of Power Sources,vol.216,pp.489-501,20122 A.Tang,J.Bao and M.Skyllas-Kazacos,“Studies on pressure losses and flow rate optimization in vanadium redox flow battery,”Journal of Power Sources,vol.248,pp.154-162,2014.Dynamic mass balance equationsFor stackFor stackFor tankFor tankVFB Model:Hydrau