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A New MPPT Method for Low-Power solar energy harvesting

A New MPPT Method for Low-Power solar energy harvesting
A New MPPT Method for Low-Power solar energy harvesting

A New MPPT Method for Low-Power

Solar Energy Harvesting Oscar López-Lape?a,Maria Teresa Penella,Student Member,IEEE,and

Manel Gasulla,Member,IEEE

Abstract—This paper describes a new maximum-power-point-tracking(MPPT)method focused on low-power(<1W)pho-tovoltaic(PV)panels.The static and dynamic performance is theoretically analyzed,and design criteria are provided.A pro-totype was implemented with a500-mW PV panel,a commer-cial boost converter,and low-power components for the MPPT https://www.wendangku.net/doc/654212478.html,boratory measurements were performed to assess the effectiveness of the proposed method.Tracking ef?ciency was higher than99.6%.The overall ef?ciency was higher than92%for a PV panel power higher than100mW.This is,in part,feasible due to the low power consumption of the MPPT controller,which was kept lower than350μW.The time response of the tracking circuit was tested to be around1s.Field measurements showed energy gains higher than10.3%with respect to a direct-coupled solution for an ambient temperature of26?C.Higher gains are expected for lower temperatures.

Index Terms—Energy harvesting,maximum power point track-ing(MPPT),solar cells,wireless sensor networks(WSNs).

I.I NTRODUCTION

L OW-POWER devices mainly use either primary or sec-ondary(rechargeable)batteries.Primary batteries are cheaper and are suitable whenever they survive the life cycle of the device.On the other hand,secondary batteries are used in mobile devices that must often be recharged from the mains,such as,for example,mobile phones.However,in some devices,such as the nodes of wireless sensor networks(WSNs), this solution is not practical.Energy harvesting constitutes a feasible alternative and has been proposed in order to power autonomous nodes using optical[1],[2],mechanical[3],or thermal energy[4]or even a combination of them[5].Among the ambient sources,optical(or solar)energy provides high power density,principally outdoors.

In order to extract the maximum power from a photovoltaic (PV)panel,several maximum-power-point-tracking(MPPT) methods have been proposed and used for high-power systems [6].Their application to low-power PV panels(<1W)has just

Manuscript received December31,2008;revised May8,2009,June29, 2009,September25,2009,and October26,2009;accepted November10, 2009.Date of publication December4,2009;date of current version August11,2010.This work was supported in part by the Spanish Ministry of Education and Science under Contract TEC2007-66331/MIC,by the European Regional Development Fund,and by the Spanish–Tunisian Cooperation Project (AECI–A/01218207).The work of M.T.Penella was supported by the Ministry of Education and Science of Spain under the FPU Program(AP2005-2508). The authors are with the Instrumentation,Sensors and Interfaces Group, Universitat Politècnica de Catalunya,08860Barcelona,Spain(e-mail:os-car@https://www.wendangku.net/doc/654212478.html,;mpenella@https://www.wendangku.net/doc/654212478.html,;manel.gasulla@https://www.wendangku.net/doc/654212478.html,).

Color version of one or more?gures in this paper are available online at https://www.wendangku.net/doc/654212478.html,.

Digital Object Identi?er

10.1109/TIE.2009.2037653

Fig.1.PFM technique for a boost regulator at light loads.

recently been proposed[7]–[10]and poses new challenges to

achieve a net power gain.In contrast to high-power applica-

tions,the power consumption of the MPPT control circuit can

contribute signi?cantly to the?nal power ef?ciency.This paper

proposes and implements a new MPPT method that is partic-

ularly suitable for these low-power source levels.The method

does not require complex operations and can be implemented

with low-power components.

II.B ACKGROUND

A.Energy Harvesting

The autonomous nodes of a WSN are composed of sensing,

processing,and communication stages.Power consumption

usually ranges from tens of milliwatts when fully active to

units of microwatts in sleep mode.When the power is pro-

vided by the environment[11],a transducer,e.g.,a PV panel,

converts ambient energy into electrical energy,with a given

ef?ciency.For perpetual operation,the harvested power must

be higher,in average,than the consumed power of the node.An

energy storage unit,e.g.,a rechargeable battery,must account

for the variability of the ambient energy.Finally,an energy-

conditioning block matches the transducer to the storage unit.

B.DC/DC Conversion and PFM Control

Direct-coupled solutions use a single diode to connect the PV

panel to the storage unit.More elaborated designs use instead

a dc/dc converter in order to work at the maximum power 0278-0046/$26.00?2010IEEE

Fig.2.PFM technique applied to the energy-conditioning block of solar energy harvesters.

point(MPP:I MPP,V MPP)and then increase the harvested

energy[12].

Switching converters are the most energy-ef?cient dc/dc reg-

ulators,and plenty of commercial off-the-shelf(COTS)compo-

nents are available.Pulse frequency modulation(PFM)control

techniques,which are based on a hysteresis control of the output

voltage,are used to achieve a low power consumption of the

converter and then a high ef?ciency with light loads[13].Fig.1

shows a schematic of a PFM boost regulator,together with

the temporal evolution of the output voltage(v o),the inductor

current(i L),and the control signal of the internal switch M1.

Switches M1and M2are off until v o falls below a low threshold

value(V ref?V TL).Then,the switches alternately activate in order to transfer electrical charge from the input to the output

until v o reaches a high threshold value(V ref+V TH),restarting

the process.For light loads,the inactive period increases,

which maintains a low overall power consumption and a high

ef?ciency.

We propose to use the same PFM technique,using COTS

components,in the energy-conditioning block of solar energy

harvesters(Fig.2).Now,an input capacitor(C in)is connected

in parallel with the PV panel,and an external hysteresis com-

parator is placed between the panel and the feedback(FB)

terminal of the dc/dc converter.First,during a time T charge,

switches M1and M2are off,and the current of the PV panel

(i s)charges C in until the voltage of the PV panel(v s)reaches

v m+V TH.Then,V FB toggles,and the converter switches M1

and M2alternately activate,during a time T disch,in order to

transfer charge from C in to the output until v s decreases to

v m?V TL,restarting the process.The voltage operating point of the PV panel is determined by v m.To reach the MPP,v m must be obtained from an MPPT controller.

In Figs.1and2,a boost converter has been shown for illustration,but the same concepts can be applied to buck or buck–boost converters.

C.Low-Power MPPT Methods

An MPPT controller that is suitable for low-power PV panels must have low power consumption.Then,low computation complexity and low-power components are preferred.

One of the simplest MPPT methods is the fractional open-circuit voltage(FOCV),which exploits the nearly linear re-lationship between the PV panel open-circuit voltage(V OC) and its voltage at the MPP(V MPP)under varying irradiance and temperature levels.However,this result is based on obser-vations and must be empirically determined for each speci?c type of PV panel[14].V OC is either measured periodically by momentarily opening the output of the PV panel,as that in[9], or by using a pilot cell(an additional PV panel of the same type in an OCV con?guration),as that in[8].

A more elaborated method is the perturb and observe(P&O) method,as that in[7].The basic idea is to slightly perturb the operating voltage of the PV panel and see how the power changes.If the power increases,the perturbation should be kept in the same direction;otherwise,it should be reversed. To compute power,current and voltage measurements must be usually performed.Overall,a true MPPT is achieved at the expense of increasing the circuit complexity and the power consumption with respect to the FOCV method.

Recently,a new low-complexity technique has been pro-posed[15].However,the method has only been tested in a (relatively high power)55-W PV panel and presents a poor tracking ef?ciency for low-power irradiation levels.

LóPEZ-LAPE?A et al.:NEW MPPT METHOD FOR LOW-POWER SOLAR ENERGY HARVESTING

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Fig.3.Observation and hysteresis windows of the proposed MPPT method.

III.P ROPOSED MPPT M ETHOD

A.Theoretical Approach

A true MPPT method must measure the generated power of the PV panel and?nd and follow its maximal value.Here,we propose to use the circuit described in Fig.2in combination with a new proposed MPPT technique well suited for low-power PV panels.In order to achieve the MPP,the method nulls the difference of the panel average power in two consecutive time intervals(T1and T2)within T charge.As Fig.3shows,T1 and T2correspond to the lower and upper halves,respectively, of an observation voltage window(whose gap is2V h)centered on the operating voltage v m.As can be seen,the minimum voltage of the observation window is slightly higher than the minimum voltage of the hysteresis window to let the devices used in the MPPT controller(see Section III-B)to overcome the transient response produced by the fast discharge of C in.On the other hand,the upper limits of the hysteresis and observation windows match.For the sake of simplicity,we will assume in the rest of this paper that both windows match and that T charge≈T1+T2.

Referring to Fig.3,the period of v s is given by

T cycle=T charge+T disch.(1) As the converter is inactive during T charge,the output power of the PV panel(P s)is equal to the incoming power at C in; then,

P s=v s i s=v s C in dv s

dt

.(2)

The average power results in

P s=1

T

t0+T

t0

P s dt=

C in

T

v s(t0+T)

v s(t0)

v s dv s(3)

where t0and T are an arbitrary time instant and a time interval within T charge,respectively.Applying(3)into the calculation of the average power during T1and T2results in

P s1=C in

T1

v m

v m?V h

v s dv s=

C in V h

T1

v m?

V h

2

P s2=C in

T2

v m+V h

v m

v s dv s=

C in V h

T2

v m+

V h

2

.

(4)

Fig.4.Evaluation of the operating point(v m)with respect to the MPP

(V MPP).

From(4),the power difference is

ΔP s≡P s2?P s1=

C in V h

T2T1

v m(T1?T2)+

V h

2

(T1+T2)

.

(5)

The sign of(5)will indicate the position of the operating

voltage v m with respect to V MPP.Fig.4shows the characteristic

power pro?le versus the operating voltage of a generic PV

panel(P–V curve)and illustrates this concept.As can be seen,

whenever(5)is positive,v m

On the other hand,whenever(5)is negative,v m>V MPP and

should be decreased.The sign of(5)depends exclusively on the

term within the parentheses.This term will be de?ned as L(v m)

L(v m)≡v m(T1?T2)+

V h

2

(T1+T2).(6)

An equilibrium point v m,eq will be achieved whenΔP s=

0,i.e.,

L(v m,eq)=v m,eq(T1?T2)+

V h

2

(T1+T2)=0(7)

resulting in v m,eq=V MPP if V h V MPP.

B.Implementation

To implement the MPPT control law,we propose to calculate

v m as the iterative sum of L(v m)in each new cycle

v m(n)=

1

τINT

n?1

i=1

?

??

T1(i)

v m(i)dt?

T2(i)

v m(i)dt

+

T1(i)+T2(i)

V h

2

·dt

?

??(8)

where v m(n)is sampled at the end of each T charge,τINT is

an integral constant,and n is the cycle number.As can be

seen,the multiplication operations in(6)have been replaced

by integral operators.This equivalence is based on the fact that

V h is a constant and that the sampled v m has a constant value

during T1and T2.Moreover,in contrast to other methods,the

measurement of the current is not required.The value of v m will

increase whenever v m(n)

v m(n)>V MPP,thus tending to v m,eq≈V MPP.

Fig.5shows the schematic diagram of the implemented

MPPT https://www.wendangku.net/doc/654212478.html,parator CMP2toggles SW2at the instant

3132IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS,VOL.57,NO.9,SEPTEMBER

2010

Fig.5.Simpli?ed schematic of the energy conditioner with the proposed MPPT control

circuit.

Fig.6.Expected temporal evolution of v m ,v s ,and v INT ,for the case in which v m

time v s crosses v m .Hysteresis comparator CMP 3activates the converter during T disch .This same comparator,together with CMP 1,enables SW 2and selects terminal 1of SW 1during T 1and T 2.The output signals of SW 1and SW 2are added and integrated,and the resulting output v INT is sampled at the end of T charge ,providing a new value of v m .Fig.6shows the expected temporal evolution of v m ,v s ,and v INT ,for the case in which v m

IV .A NALYSIS

In order to achieve an optimum design,the static and dy-namic MPPT performance will be theoretically analyzed.Static

performance will be assessed by the overall power ef?ciency,which can be split up into three terms

ηT ≡ηMPPT ·ηav ·ηc

(9)

where ηMPPT ≡(P s (v m ,eq )/P MPP ),ηav ≡(P s /P s (v m ,eq )),and ηc ≡(P out /P s );P MPP and P s (v m ,eq )are the PV power at the MPP and at v m ,eq ,respectively;P s and P out are the average po-wer at the input and output of the dc/dc converter,respectively.On the other hand,the dynamic performance will be assessed by the time constant of v m modeled as a ?rst-order time function.A.Ef?ciency of the MPPT Algorithm (ηMPPT )

The goal of the proposed MPPT controller is to achieve high tracking ef?ciency with low power consumption.The

LóPEZ-LAPE?A et al.:NEW MPPT METHOD FOR LOW-POWER SOLAR ENERGY HARVESTING

3133

Fig.7.De?nition of the time intervals when the propagation delays of the

comparators are taken into account.

propagation delays of the comparators CMP 1–CMP 3(Fig.5)

will affect the tracking ef?ciency.This is of particular relevance due to the design tradeoff between the power consumption and the propagation delay of COTS comparators.In the following,we analyze how these delays affect the tracking ef?ciency.Fig.7shows the observation window considering the propa-gation delays t pd1,t pd2,and t pd3introduced by CMP 1,CMP 2,and CMP 3,respectively.

The relationship between the different time intervals is given by

T 1,int =T 1,win ?t pd1+t pd2T 2,int =T 2,win ?t pd2+t pd3.

(10)

T 1,win and T 2,win are the ideal interval times de?ned by the observation window and provide the actual ΔP s through (5).T 1,int and T 2,int are the integration times of the MPPT circuit in Fig.5and determine v m ,eq through (7).Therefore,due to the propagation delays,ΔP s (v m ,eq )will not be zero,and conse-quently,v m ,eq will not reach the MPP at the equilibrium point,worsening the tracking ef?ciency.Even so,we still assume that the equilibrium point will be near the MPP.

Substituting T 1and T 2in (7)by T 1,int and T 2,int and using (10),we obtain

v m ,eq ((T 1,win ?t pd1+t pd2)?(T 2,win ?t pd2+t pd3))

+V h

2

((T 1,win ?t pd1+t pd2)+(T 2,win ?t pd2+t pd3))=0.(11)Then,substituting T 1and T 2in (5)by T 1,win and T 2,win ,using (11),and considering V h v m ,eq ,we obtain ΔP s (v m ,eq )≈

C in V h

T 1,win T 2,win

v m ,eq (t pd1?2t pd2+t pd3).

(12)

We can then relate the slope of the P –V curve at the equilib-rium point with the propagation delays by

dP s dv s v m ,eq ≈ΔP s V h v m ,eq

V h V MPP

t pd1?2t pd2+t pd3

C in V 2h

P MPP I MPP (13)

where we considered v m ,eq ≈V MPP and

T 1,win ≈T 2,win ≈

T charge 2≈C in V h I MPP

.(14)

On the other hand,we can approximate P s around V MPP by a second-order Taylor polynomial

P s (v s )≈P MPP +12d 2P s dv 2s V MPP (v s ?V MPP )2.(15)Derivating (15),we obtain

v s ?V MPP =

dP s /dv s |v s

d 2P s /dv 2s |V MPP

.(16)

Then,substituting (15)at v s =v m ,eq in ηMPPT and using (13)and (16),we obtain ηMPPT

≈1+ t pd1?2t pd2+t pd3C in V h I MPP V h 2

2P MPP d 2P s dv 2s

V MPP

.(17)

Notice that the second derivative of P s is negative and then ηMPPT <1.The tracking ef?ciency will tend to the unity with low and matched propagation delays and with higher values of V h .A higher value of the product C in V h also increases the tracking ef?ciency.This seems obvious from (14)since T charge increases and then the relative error contributed by the propagation delays diminishes.

The adaptation of the method for high-power applications would require the selection of higher values of C in V h to main-tain a high tracking accuracy.An alternative is to use faster comparators that,obviously,will increase the power consump-tion of the MPPT controller.B.Averaging Ef?ciency (ηav )

The proposed MPPT method implies that P s ?uctuates around P s (v m ,eq )and,as a consequence,P s

1T

T cycle

P s dt ≈

T 1P s1+T 2P s2T 1+T 2=

2C in v m ,eq V h

T 1+T 2

(18)

and from (2),assuming that v m ,eq ≈V MPP ,

T 1+T 2=

T 1+T 2

dτ=

V MPP +V h

V MPP ?V h

v s C in

P s

dv s .(19)

Using (15)and (19)in (18)and considering P s (v m ,eq )≈P MPP ,we arrive at

ηav ≈1+161P MPP d 2P s dv 2s V MPP V 2h .(20)Then,a larger value of V h diminishes ηav because of the

larger variations of P s around P s (v m ,eq ).

3134IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS,VOL.57,NO.9,SEPTEMBER2010

C.Ef?ciency of the Circuit(ηc)

Considering the average circuit losses(P L),the average

output power is given by

P out=P s?P L(21)

where P L accounts for the power losses of the dc/dc converter

(P L,conv)and the MPPT control circuit(P L,MPPT).

On the one hand,P L,conv can be expressed as

P L,conv=P L,conv-o?T charge+P L,conv-on T disch

T cycle

(22)

where P L,conv-on and P L,conv-o?are the power losses when the converter is active(T disch)and inactive(T charge), respectively.

On the other hand,P L,MPPT can be expressed as[16]

P L,MPPT=P L,MPPT-dc+

K

T cycle

(23)

where P L,MPPT-dc accounts for the static power losses and the remaining term,where K is a constant,accounts for the increased switching activity of the MPPT controller as T cycle decreases.

Considering that the power balance in the input capacitor during a whole cycle can be expressed as

P disch T disch=P s T cycle(24) where P disch is the average power transferred from the capaci-tor to the converter during T disch,and using(18)and(21)–(23),

we get ηc≈1?

P L,conv-o?+P L,MPPT-dc

P s

+

P L,conv-on?P L,conv-o?

P disch

+

K(1?P s/P disch)

2·V MPP(C in V h)

.

(25)

For low P s values,the contribution of the power losses of the MPPT control circuit(P L,MPPT)and the converter (P L,conv-o?)becomes signi?cant.Otherwise,for high P s val-ues,the ef?ciency of the converter(P L,conv-on)becomes dom-inant.On the other hand,for a given P s,ηc increases for larger values of the product C in V h.

D.Dynamic Performance

The dynamic response of v m can be described by a time continuous function if T cycle is short enough.Then,

dv m dt ≈v m(n+1)?v m(n)

T cycle

.(26)

From(5)and(8),we obtain

v m(n+1)?v m(n)=T2(n)·T1(n)

τINT C in

ΔP s(v m(n))

V h

(27)

which,using(14)and(18),can be rewritten as

v m(n+1)?v m(n)=

T charge(n)

2τINT

v m(n)

ΔP s(v m(n))

P s(v m(n))

≈T charge

2τINT

V h v m

1

P s

dP s

dv s

v m

.

(28)

Substituting(28)into(26),we obtain

dv m

dt

≈V h

2τINT(1+T disch/T charge)

v m

1

P s

dP s

dv s

v m

.(29)

The lowest slope of P s will be in the neighborhood of the MPP,

so we can assume that the interval of time required to reach the

MPP is mainly due to the dynamic response in this region.In the

neighborhood of the MPP,this dynamic can be approximated by

a?rst-order Taylor polynomial around V MPP

dv m

dt

≈1

τ

·(V MPP?v m)(30)

where,if T charge T disch,

τ≈?2τINT

V h V MPP

1

P MPP

d2P s

dv2s

V MPP

.(31)

Note that T cycle does not appear in(31),and so,it will not

determine the dynamic of v m.Nevertheless,T cycle determines

the time discretizaton of v m(see Fig.6).Therefore,in order to

keep T cycle short enough,it is required that T charge τ.

V.S ELECTION OF P ARAMETERS

This section describes the selection methodology of C in,

V h,andτINT to reach maximum ef?ciency(ηT)with a given

dynamic response.Speci?cally,we have selectedτ=1s.

For the calculus,PV-power-related parameters,such as the

second derivative of P s and P MPP,were estimated from the

experimental P–V curve of the solar panel(see Section VII).

The proposed MPPT method will be tested for a given range

of the PV panel power and the corresponding I MPP.From

Section VI,I MPP,min=3.7mA,and I MPP,max=141.4mA.

A.First Step:Selection of C in V h

From(14)and imposing T charge<τ/10,we get

C in V h<

I MPP,minτ/10

=185μC.(32)

BecauseηT increases for a higher C in V h,we will select a

value near the upper bound.We selected speci?cally C in V h=

100μC.On the other hand,(32)denotes the tradeoff between

the speed of the dynamic response and the overall ef?ciency.

The lower is the selectedτ,the lower will be C in V h and the

resultingηT.

LóPEZ-LAPE?A et al.:NEW MPPT METHOD FOR LOW-POWER SOLAR ENERGY HARVESTING

3135

Fig.8.Ef?ciencies versus V h.

B.Second Step:Selection of V h

Once the product C in V h is?xed,we observe thatηc does not

depend on the value of V h.On the other hand,ηMPPT increases

with an increase of V h,andηav decreases with an increase of

V h.Therefore,the maximum of the productηMPPT·ηav will lead to an optimum value of V h.Fig.8shows these ef?ciencies

in the worst case scenario and shows the existence of a max-

imum around100mV.Therefore,we selected V h=100mV.

For(17),considering the information provided in the datasheets

of the comparators,we used t pd1?2t pd2+t pd3=5μs.

C.Third Step:Determination of C in andτINT

From the previous selected values,we obtain C in=1mF.

Finally,from(31),we obtainτINT=88ms.

VI.M ATERIALS AND M ETHODS

A prototype of the proposed energy conditioner was im-

plemented in order to be tested with a500-mW(I sc=

160mA,V OC=4.6V)PV panel(MSX-005,Solarex).The

energy-conditioning circuit(Fig.5)was implemented with

COTS components.For the dc/dc conversion,we used a

MAX1675boost converter(PFM control with a current

limit of0.5A),a22-μH inductor,and a low-equivalent-

series-resistance(ESR)1-mF tantalum input capacitor(C in).

LTC1440and LTC1441comparators were used to implement

CMP1,CMP2,and CMP3.They provide low power(2.1μA)

with a propagation delay of12μs.Low-power op amps,such as

the OPA2369and the MAX9910,were used to obtain the limits

of the observation window and to amplify the input voltage

v s.An OPA2369,together with the analog switch TS5A2066,

was used to implement the low-power sample-and-hold.The

overall control circuit was powered from the output of the boost

converter.

Laboratory measurements were performed to assess the static

and dynamic performance of the proposed energy conditioner.

In order to achieve reproducible results,the PV panel and the

battery in Fig.5were substituted by a PV array simulator and

a voltage source,respectively.As commercial PV simulators

are not suitable for the intended low power(<1W),we

implemented an ad hoc solution connecting a current source

(GS610,Yokogawa)in parallel with the PV panel,which was

coated with an opaque cover.In this way,the short-circuit

current(I sc)of the PV panel was adjusted by the current source.

First,the PV simulator was characterized.Experimental I–V

curves were obtained by changing the current source from5to 158mA in9-mA steps.For each current value,the PV output voltage was biased from0.1to5V with the voltage source. The output voltages and currents of the PV simulator were measured,and power values were calculated.To obtain the I–V and P–V curves,we used a cubic spline interpolation.

A curve joining all the MPPs was also generated.Therefore, a correspondence was established between each generated I sc and the resulting P MPP.The limit values for P MPP(and I MPP) were8.2mW(3.7mA)and545.9mW(141.4mA).

The generated P–V curves were used to determine the performance of the circuit prototype.Ef?ciencies were obtained against the whole range of P MPP and for different output voltages.First,ηMPPT was calculated by comparing the actual PV panel power P s(v m,eq)with P MPP for each generated I sc of the current source.P s(v m,eq)was estimated by measuring the average PV panel voltage and obtaining the corresponding power from the experimental P–V curve.Then,the overall ef?-ciencyηT was calculated by dividing the average output power (P out)by P MPP.P out was estimated from the measurement of the average output voltage and current.A low-ESR100-mF supercapacitor was added at the output of the circuit in order to obtain a quasi-dc output current and then achieve a proper measurement of the power ef?ciency[17].Finally,the dynamic performance of the MPPT method was assessed by program-ming step current changes with the current source and recording the resulting signals with an oscilloscope.

Field measurements were also carried out to compare the proposed solution with a direct-coupled solution.This one used a low-turn-on-voltage Schottky diode(BAT47)to improve its ef?ciency.In order to avoid differences in using two PV panels,both circuits were connected alternatively through a reed relay to a single500-mW PV panel.Once the PV panel was connected to any of the two circuits,a30-s delay interval lets the circuit reach the steady state before starting to record the power during1min.The MPPT circuit had three AA NiMH batteries connected in series at its output,which assured that the output voltage of the boost converter was always higher than V MPP for any irradiance level.On the other hand,the direct-coupled circuit had two AA NiMH batteries connected in series at its output,in order to work near the MPP.

VII.E XPERIMENTAL R ESULTS

https://www.wendangku.net/doc/654212478.html,boratory Measurements

Fig.9shows a set of measured I–V curves and the corre-sponding P–V curves of the PV simulator at24?C.The same graph also represents a curve joining the MPPs.As can be seen, V MPP increases for higher I sc values.

Fig.10shows how the measured power consumption(at5V) of the MPPT control circuit increases with the input PV power. Higher PV power means a larger I sc and then a lower T cycle. Therefore,the experimental results agreed with(23).

Fig.11showsηMPPT.As can be seen,ηMPPT>99.6%for the whole power range,which states the effectiveness of the proposed MPPT method and agrees with the corresponding graph in Fig.8for V h=100mV.Minor deviations can be observed when changing the output voltage from5to4V. On the other hand,ηav was estimated from(20)to be higher

3136IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS,VOL.57,NO.9,SEPTEMBER

2010

Fig.9.I –V and P –V curves of the PV simulator at 24?C.A curve joining the MPPs is also

shown.

Fig.10.Power consumption (at 5V)of the MPPT circuit versus the pro-grammed P MPP

.

Fig.11.ηMPPT versus the programmed P MPP

.

Fig.12.ηT versus the programmed P MPP .

than 99.8%.This value,together with the value of ηMPPT ,states that ηT ,shown in Fig.12,is mainly due to ηc (not represented).These results agreed with (25),which includes the power consumption of the MPPT control circuit and the dc/dc

converter.

Fig.13.Transient response of v m to step changes of the programmed P MPP

value.

Fig.14.MPPT startup process when P MPP was changed from 0to 8.2mW.

Fig.13shows the dynamic response of v m to step changes of the programmed P MPP value.The time constant (τ)was around 1s,as stated in Section V.

Fig.14shows the startup transient of v INT ,v m ,and v s when P MPP was changed from 0to 8.2mW.For this test,the input capacitor (C in )was discharged,and the circuitry was powered from the circuit output voltage (5V)some seconds prior to the zero time value of the graph.The power change was produced around t ≈1s.As can be seen,v m and v s fast catch v INT ,which is initially settled to an internal 1.2-V reference value.Then,the circuit behaves as a ?rst-order system,and v m tends to the corresponding V MPP value.The graph inset shows with more detail the temporal evolution of the three represented signals.

B.Field Measurements

Fig.15shows the power delivered to the batteries during one sunny day for both the proposed MPPT circuit and the direct-coupled solution.The maximum ambient temperature and irradiance over a horizontal surface were 26?C and

LóPEZ-LAPE?A et al.:NEW MPPT METHOD FOR LOW-POWER SOLAR ENERGY HARVESTING

3137

Fig.15.Power delivered to the batteries during one day.

800W/m2,respectively.The sudden increase of the incoming power around14:30indicates the incidence of the direct sun over the PV panel.The results show that the total energy collected by the MPPT circuit was10.3%higher,even though the measured ef?ciency for the direct-coupled circuit was close to85%at high-irradiance conditions.

As can be seen in the inset in Fig.15,even at low-irradiance conditions,from8:00to14:30,the power delivered by the proposed MPPT circuit was higher or equal to the power delivered by the direct-coupled solution.First,the MPPT circuit started to charge its batteries before the direct-coupled circuit. This circuit could not charge the batteries until the open-circuit voltage of the PV panel(OCV PV)was higher than its battery voltage(≈2.4V),whereas the MPPT-based circuit could start to charge from a lower OCV PV,corresponding to the startup voltage of the MAX1675(1.1V).As the irradiance increased, the operating point of the PV panel for the direct-coupled circuit approached to its MPP.As a consequence,its ef?ciency increased to a similar value to that of the MPPT circuit from 9:30to13:00,which is mainly limited by the power loss of the https://www.wendangku.net/doc/654212478.html,ter,the ef?ciency of the MPPT rose up as the PV power increased(Fig.12),delivering again a higher power to the batteries than the direct-coupled circuit.

We also veri?ed that the MPPT circuit outperformed the direct-coupled solution for other weather conditions, e.g., cloudy days.

The MPP voltage of the PV panel increases for a decrease in temperature(?16mV/?C).Therefore,it is expected that, with cold weather,e.g.,in winter,the ef?ciency of the direct-coupled solution will decrease,whereas the MPPT circuit will still maintain a high ef?ciency.Then,higher energy gains are expected.

VIII.C ONCLUSION

A new MPPT method that is suitable for low-power PV panels has been proposed and tested.The MPPT controller is used as an external control loop of a PFM dc/dc converter placed between the PV panel and the load.In contrast to other true MPPT controllers,such as the P&O method,the current has not to be measured,and no multiplier operator has to be used to calculate the power.Therefore,the control circuit is simpler,and its consumption is lower than using those conven-tional techniques.Consequently,a high energy ef?ciency can be achieved even for low-power sources.

The static and dynamic performance of the proposed MPPT method has been theoretically analyzed,and design criteria have been provided.The static performance is assessed through the power ef?ciency.The analysis demonstrates that a high tracking accuracy can be achieved even using low-power com-parators whenever their propagation delays are matched or the charge cycle is long enough.The dynamic performance is assessed by the time response of the tracking voltage,which can be approximated by a?rst-order linear function.

A prototype MPPT circuit has been implemented using a commercial PFM dc/dc boost converter and low-power compo-nents for the MPPT https://www.wendangku.net/doc/654212478.html,boratory measurements have been carried out using a custom PV array simulator in order to assess the static and dynamic performance.The tracking ef?ciency is higher than99.6%.The overall ef?ciency is higher than92%for a PV panel power over100mW.This is,in part,feasible due to the low power consumption of the MPPT controller,which is kept lower than350μW.The time response of the tracking circuit was tested to be around1s.Field measurements have also been performed in order to compare the proposed solution with a direct-coupled circuit.Energy gains that are higher than10.3%have been achieved for an ambient temperature of26?C.Higher gains are expected for lower temperatures.

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Oscar López-Lape?a received the M.S.degree in physics and the M.S.degree in electronics engineer-ing from the Universitat de Barcelona,Barcelona,Spain,in 1994and 1996,respectively,and the Ph.D.degree in electronics engineering from the Univer-sitat Politècnica de Catalunya (UPC),Barcelona,in 2000.

Since 2002,he has been an Associate Profes-sor at UPC.His current research interests include low-power converters,control theory,and energy

harvesting.

Maria Teresa Penella (S’07)received the B.Sc.and M.Sc.degrees in telecommunication from the Uni-versitat Politècnica de Catalunya (UPC),Barcelona,Spain,in 2003and 2005,respectively,where she is currently working toward the Ph.D.degree.

In 2007,she was with the Electronics Labora-tory,Ecole Polytechnique Fédérale de Lausanne,Lausanne,Switzerland.She is currently an Assistant Professor at UPC.Her research interests include energy harvesting,energy and power conditioning,storage elements,and wireless sensor

networks.

Manel Gasulla (S’97–M’01)received the M.Eng.and Ph.D.degrees in telecommunication from the Universitat Politècnica de Catalunya (UPC),Barcelona,Spain,in 1992and 1999,respectively.Since 1993,he has been with UPC,where he is currently an Associate Professor,engaged in teach-ing on analog electronics and electronic instrumen-tation.In 2001–2002,he was a Visiting Postdoctoral Fellow at the Electronic Instrumentation Laboratory,Delft University of Technology,Delft,The Nether-lands.His research interests include capacitive sen-sors,sensor interfaces,wireless sensor networks,and energy-harvesting circuits and methods for low-power autonomous sensors.

英语作文关于共享单车的篇精编

(一) 假定你是红星中学初三学生李华。你的美国朋友Jim在给你的邮件中提到他对中国新近出现的一种共享单车“mobike”很感兴趣,并请你做个简要介绍。请你给Jim回信,内容包括: 1. 这种单车的使用方法(如:APP查看车辆、扫码开锁等); 2. 这种单车的优势; 3. 你对这种单车的看法。 注意:1. 词数不少于80; 2. 开头和结尾已给出,不计入总词数。 提示词:智能手机smartphone, 二维码the QR code 参考范文 Dear Jim, I’m writing to tell you more about the new form of sharing bike mobike mentioned in your latest letter. It’s very convenient to use if you have a smartphone. What you do is find a nearest mobikethrough the APP, scan the QR code on the bike, and enjoy your trip. Compared to other forms of sharing bike, the greatest advantage of mobike is that you can easily find one and never worry about where to park it. It is becoming a new trend as a means of transportation, which relieves the traffic pressure and does good to the environment as well. Hope to ride a mobike with you in China. Yours, Li Hua (二) 最近很多大城市都投放了共享单车(shared bikes),比如摩拜单车(Mobike)、Ofo共享单车等。由于它们方便停放,骑车也能起到锻炼身体的作用,作为代步工具很受大家欢迎。但是,各地也出现了很多毁车现象,比如刮掉车上的二维码(QR code)、上私锁等。 你对这种现象怎么看?你对共享单车公司有什么建议吗?写一篇符合逻辑的英语短文,80词左右。 参考词汇:bike-sharing companies 共享单车公司,Mobike 和Ofo 是两家共享单车公司,convenience 方便,register登记 参考范文 The shared bikes like Mobike and Ofo bring great convenience to people. You needn’t lock them by simply using your smart phone. They can take you where the subway and bus don’t go. And they can be left anywhere in public for the next user. However, bad things happen. Some people damage the QR code on the bike, or use their own lock, which causes trouble to other users. In my opinion, it’s difficult to turn these people’s ideas in a short time. Therefore, bike-sharing companies like Mobike and Ofo need to do something. For example, those who damage the bike should pay for their actions. Also, because people use their real name toregister as a user, it’s a good way to connect to one’s personal credit. In the end, what I want to say is to take good care of public services. (三) 共享单车(bicycle sharing)已成为时下最热的话题之一,请你就这一话题写一篇短文。内容须包括三方面:1. 共享单车蓬勃发展,成为社会热潮;2. 共享单车带来便利,但也存在问题;3. 我对解决问题的建议。 参考范文 Bicycle Sharing With the development of technology, bicycle sharing comes into people's lives. It becomes more and more popular and much news reported it. At the same time, we should see that there are some problems caused by bicycle sharing. On one side, bicycle sharing makes it very convenient of people traveling. You can find a bicycle anywhere at any time when you want to go out for a cycling, and the price of one trip is very low. It can save time for people. On the other side, its management is not perfect. Even kids can open the lock and ride the bicycle, there is no doubt that such behavior is very dangerous.

介绍北京的英语作文(2)

介绍北京的英语作文(2) AsBeijinghasbeenconfirmedhomecityofOlympics2008,the spiritofgreenOlympics,scientificOlympicsandhumanizedOlymp icwillsurelybringmoreandmorechangestoBeijing,promotethed evelopmentofsportsandOlympicsinChinaaswellasintheworld,a ndstrengthenthefriendlycommunicationsbetweenChineseandf oreignpeople. 篇六:Beijing BeijingisthecapitalofPeoplesRepublicofChinaandthenation scentreforpolitics,economyandculture.Itenjoysalongandrichhis tory.Therearenumerousheritagesitesandwonderfulexamplesof ancientarchitecture,suchastheworld-famousGreatWall,theTem pleofHeavenandtheForbiddenCity. Besidessightseeingplaces,therearemanydeliciousfoodsuch asPekingducksandBeijingsnacks.Beijingisreallyagoodplacetotr avel. 篇七:Beijing AsthecaptainofChina,Beijinghasbeenthemostpopularcityofchina。SomoreandmorepeoplewanttovisitBeijing.

汽车利弊英语作文4篇

[标签:标题] 篇一:关于汽车的英语作文 好的 Nowadays, with the rapid improvement of people’s living standards, cars have become an indispensable part of people's lives,so that more and more people have a car of their own, especially in cities. It brings some benefits for us but also causes many problems at the same time. For one thing,there’s no doubt that cars provide much convenience for people to go where they want to quickly and easily. Especially on weekday,driving a car can save a lot of time for us to go to work.When some places are too far away from our home, driving our own car is also convenient, we can go wherever we want. However,for another, too many cars will lead to the pressure of public transport, a series of problems will appear.First of all,it will bring about more air pollution,a large amount of polluted air given off by cars do great harm to our health.What’s more, as the existing roads are not so wide for the increasing number of cars,undoubtedly,traffic jams will become more and more serious. Last but not least, cars also place burden on the public facilities in providing more parking lots. As far as I am concerned,everything has its advantages and disadvantages. It’s high time that effective action must be token to limit the ever growing number of cars, the government should take measures to control the air pollution from the cars. Some roads should be widened and more new roads should be constructed. Only in this way,will people benefit from the popularity of cars. 坏的 Nowadays, with the rapid improvement of people's living standards, cars have become an indispensable part of people's lives,so that more and more people have a car of their own, especially in cities.It brings some benefit for us but also causes many problems at the same time. For one thing,it's no doubt that that cars provide much convenience for people to go where they want to quickly and easily. Especially on weekday,driving a car can save a lot of time for us to go to work.When some places are too far away from our home, driving our own car is also convenient, we can go wherever we want. However,for another, too many cars will lead to the pressure of public transport, a series of problems will appear.First of all,it will bring about more air pollution,a large amount of polluted air given off by cars do great harm to our health .What's more, as the existing roads are not so wide for the increasing number of cars,undoubtedly,traffic jams will become more and more serious. Last but not least, cars also place burden on the public facilities in providing more parking lots. As far as I am concerned,everything has its advantages and disadvantages. It's high time that effective action must be token to limit the ever growing number of cars, the government should take measures to control the air pollution from the cars. Some roads should be widened and more new roads should be constructed. Only in this way,will people benefit from the popularity of cars. 篇二:雅思作文高分范文:私家车的利与弊 智课网IELTS备考资料 雅思作文高分范文:私家车的利与弊

2课下作业三十二

课下作业(三十二) 、选择题 1.哲学基本问题又称哲学的根本问题、哲学的最高问题。这一问题包括( ) ①物质和意识的辩证关系问题 ②思维和存在何者是本原的问题 ③思维和存在有没有同一性的问题 ④唯物主义和唯心主义关系问题 A .①② B .②③ C .③④ D .①③ 解析:选 B 。哲学基本问题包括两个方面的内容:一是思维和存在何者是本原的问题;二是思维和存在有没有同一性的问题,②③入选。 2. 唯物主义是哲学上两个敌对的基本派别之一,是同唯心主义相对立的思想体系。划分唯物 主义和唯心主义的唯一标准是( ) A .物质和意识的关系问题 B .客观与主观的关系问题 C .思维和存在何者是本原的问题 D ?思维和存在有没有同一性的问题 解析:选C。对思维和存在何者是本原问题的不同回答,是划分唯物主义和唯心主义的唯一 标准, C 入选。 3. “二月春分八月秋分昼夜不长不短;三年一闰五年再闰阴阳无差无错。”这副对联从一个侧面反映了( ) ①思维和存在具有同一性 ②认识与自然的吻合具有必然性 ③认识以实证和猜测为基础 ④意识活动具有主动创造性 A .①③ B .②④ C .①④ D .②③ 解析:选C o材料反映人们可以认识和把握自然界的运动规律,说明思维和存在具有同一性 反映了意识活动具有主动创造性,①④符合题意;认识与自然的吻合不具有必然性,②错误;实践是认识的基础,③错误。 4 .(2019河南中原名校联考)“为天地立心,为生民立命,为往圣继绝学,为万世开太平”是北宋张载的名言。由于其言简意宏,一直被人们传颂不衰。下列观点符合“为天地立心”的

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