CN101552051B - Microwave self-heating power cable and de-icing device applying same - Google Patents

Microwave self-heating power cable and de-icing device applying same Download PDF

Info

Publication number
CN101552051B
CN101552051B CN2008100894579A CN200810089457A CN101552051B CN 101552051 B CN101552051 B CN 101552051B CN 2008100894579 A CN2008100894579 A CN 2008100894579A CN 200810089457 A CN200810089457 A CN 200810089457A CN 101552051 B CN101552051 B CN 101552051B
Authority
CN
China
Prior art keywords
microwave
power
cable
energy
heat energy
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
CN2008100894579A
Other languages
Chinese (zh)
Other versions
CN101552051A (en
Inventor
康迪
刘海涛
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Interstellar spacewalk (Beijing) Aerospace Technology Co., Ltd.
Original Assignee
康迪
刘海涛
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 康迪, 刘海涛 filed Critical 康迪
Priority to CN2008100894579A priority Critical patent/CN101552051B/en
Publication of CN101552051A publication Critical patent/CN101552051A/en
Application granted granted Critical
Publication of CN101552051B publication Critical patent/CN101552051B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Abstract

The invention relates to a power cable capable of converting microwave energy into heat energy, and a device for solving de-icing problem of power lines by applying the cable. The power cable capable of converting microwave energy into heat energy has three basic functions of 50Hz power frequency electricity current transmission, microwave power signal transmission and conversion from microwave energy to heat energy, wherein the 50Hz power frequency electricity current and the microwave power signal can be transmitted on the cable simultaneously without interfering each other. The heat energy produced by the cable is completely provided by the microwave power signal, and the 50Hz power frequency electricity current is transmitted on the cable without consumption. The device for solving thede-icing problem of power lines by applying the cable consists of a microwave generation device, a microwave transmission device, an ice-coating thickness sensing device and a power device. The devic e can monitor ice conditions under unattended state and supply microwave energy during de-icing period for the power cable capable of converting microwave energy into heat energy to produce heat energy, so as to heat coating ice on the power lines.

Description

Microwave heats power cable certainly and uses the deicing device of this power cable
Technical field
The present invention relates to a kind of power cable, reach when the sleet hazard weather takes place, use the device that this cable solves power line ice-melt problem with " microwave energy-heat energy " translation function.Use the present invention and carry out between power line ice-melt operational period, the 50Hz power frequency electric power supply of electric power network need not to interrupt.
Technical background
Attacked the large-scale low temperature sleet weather in Chinese Central China, south China in 2008, caused the large-area electric tower collapse accident of south electric network, caused the disaster area supply of electric power to be interrupted, railway electric locomotive is stopped transport, 1,500 hundred million yuans of direct economic losses.The reason of searching to the bottom is the low temperature sleet weather of continuous a few days, causes electric power netting twine icing weight to surpass the limit of electric power netting twine design load, and electric tower crushes.
Sleet is made up of super-cooling waterdrop, is lower than a kind of precipitation weather that 0 ℃ object collision freezes immediately with temperature.Sleet condenses on the electric power netting twine, has just formed the power line icing.When sleet condensed above the electrical network design load limit in a large number, electric tower collapse accident will take place.
Avoid electric tower to collapse, can be through improving the design standard realization that electric power falls down.But bring up to 50 years one chances to the electric tower design standard from 30 years one chances, will cause the power grid construction cost to be doubled and redoubled, do not calculate economically.When running into a-hundred-year disaster, the electric power netting twine still can be paralysed.
The power line ice-melt is the main thought that solves power line icing problem always, mainly contains the short circuit de-icing technology at present.From the moment that high-tension overhead line is born, the short circuit de-icing technology just is developed.The short circuit ice-melt is to lean on the power cable short circuit, relies on big electric current to flow through the cable internal resistance and produces heat energy thawing icing.But between the greatest problem ice-melt operational period of short circuit de-icing method, supply of electric power must be interrupted, and for extra high voltage network, the capacitance of circuit and magnetic pumping problem must solve, and misoperation can be because current overload damage circuit and generating set.
The preferred plan of power line ice-melt is exactly under the continual prerequisite of supply of electric power, accomplishes power line ice-melt operation.The deicing device that joins simultaneously in the electric power network should not introduced loss to 50Hz power frequency electric power electric current.
Frequency division multiplexing is the technology that often use the communications field, is multiple signals non-overlapping copies, non-interfering transmission meanss in same channel.The spacing of multiple signals on frequency spectrum is big more, and interference each other is more little.If by hundreds of times of one tunnel frequencies to the power signal of 50Hz, with the energy feeding of the required consumption of ice-melt to power line, just can be, do not disturb under the prerequisite of supply of electric power in not interrupt power supply, carry out the ice-melt operation.
Microwave is the electromagnetic wave of frequency at 300MHz-300GHz, the electromagnetic wave of corresponding wavelength between 1 meter to 1 millimeter.Microwave signal and the not mutual interference mutually fully of 50Hz power frequency component, simultaneously, ice is the crystal with polar molecule structure, with microwave significant thermal conversion effect is arranged, so microwave can be used as the required carrier of energy of ice-melt.
Along straightline propagation, in metal boundary generation total reflection, microwave can't directly transmit on traditional power cable microwave at free space.If adopt the mode of antenna launched microwave because the characteristic that microwave is propagated at the air cathetus, can't with microwave energy concentrate on power line around, 99% microwave energy all is dissipated in the free space.
If require microwave to propagate along particular course, the boundary condition of its communication environments will satisfy Maxwell equation.The equipment of constraint microwave direction propagation has microwave waveguide and coaxial cable etc.But waveguide and coaxial cable constrain in microwave energy in the space of sealing, lossless propagation.With the coaxial cable is example; Microwave energy is present between the inner wire outer surface and outer conductor inner surface of coaxial cable; When the sleet disaster takes place; The icing face is the outer surface of coaxial cable outer conductor, and microwave can't touch the icing of outer conductor outer surface, also just can't accomplish microwave energy to heat energy conversion with the crystal of ice.The loss of coaxial cable self is very little; Can think that almost microwave can loss-freely propagate in coaxial cable,, not have power loss according to conservation of energy principle; Just there is not thermal power transfer yet; So coaxial cable can't melt the icing on the cable when the sleet hazard weather takes place, also just can't solve power line ice-melt problem.
The power cable that can carry out the power line ice-melt need possess 3 essential characteristics: 1, can transmit 50Hz power frequency electric power signal, and again can the Transmission Microwave power signal.2, two kinds of signals described in the characteristic 1 do not disturb in transmission course mutually.3, can accomplish microwave energy to heat energy conversion.The power cable that has only possessed these 3 essential characteristics can be accomplished the ice-melt operation to cable self under the prerequisite of not interrupting the grid power supply.
Summary of the invention
The objective of the invention is to overcome deficiency of the prior art, the power cable that provides a kind of and have " microwave energy-heat energy " translation function has 50Hz power frequency electric power current delivery, microwave power signal transmission and microwave energy simultaneously to three basic functions of thermal power transfer.
50Hz power frequency electric power electric current and microwave power signal can transmission without interfering with each other on this cable simultaneously.The heat energy energy that this cable produces is provided by microwave power signal fully, and 50Hz power frequency electric power electric current does not have the consumption transmission on this cable.
Have " microwave energy-heat energy " translation function power cable structure as shown in Figure 2; This cable has the section of coaxial configuration, and this cable section is made up of cable outer conductor (9), central inner conductor (10), microwave energy-thermal power transfer coating (11) and high-temperature insulation medium (12).
50Hz power frequency electric power electric current transmits in central inner conductor (10) and cable outer conductor (9).
Microwave is high-temperature insulation medium (12) transmission between the inner surface of outer surface that is arranged in central inner conductor (10) and cable outer conductor; The energy that microwave carries converts heat energy in " microwave energy-heat energy " conversion coating (11), this coating can not produce excess loss to the 50Hz power current.
Microwave energy-thermal power transfer coating (11) is by having microwave absorbing, microwave-thermal conversion materials with function preparation, like ZnO (w) tetrahedron ZnOw, Ba 2Ni 2-xZn xFe 12O 22Or Ba 2Ni 2-Ni 2YFe 12O 22Hexagon Ferrite Material etc.
Have every meter thermal conversion power of the power cable of " microwave energy-heat energy " translation function, control by the thickness of microwave-thermal conversion coating.
" microwave energy-heat energy " conversion coating (11) is transmitted to the outer conductor of cable, heats whole power cable and the icing on the power line is heated.
The power cable that the present invention also provides a kind of application to have " microwave energy-heat energy " translation function is accomplished the device of power line ice-melt operation.The system block diagram of this device is as shown in Figure 1." microwave energy-heat energy " power conversion cable (1) is connected to microwave generating apparatus (3) through microwave transmission unit (2).The startup of ice covering thickness checkout gear (4) controlled microwave generating means (3) with close.Standby power supply device (5), electric power supply apparatus (6) (7) provide supply of electric power for microwave generating apparatus (3) and ice covering thickness checkout gear (4).
Microwave transmission unit (2) allows the propagation of microwave from microwave generating apparatus (3) to " microwave energy-heat energy " conversion cable; Check the propagation of microwave, allow the propagation of microwave between power cable with " microwave energy-heat energy " translation function from " microwave energy-heat energy " conversion cable to microwave generating apparatus.
Checkout gear (4) is according to the weight detecting ice covering thickness of icing on the device transducer probe; Carry heating system in the transducer probe; After microwave generating apparatus (3) starts; Heating system in the transducer probe starts thereupon, and the thawing speed of icing is equal to the dissolution velocity of icing on the power line on the transducer probe.
Electric power supply apparatus (6) (7) is directly from the power taking of high-tension electricity electrical network, and electric power supply apparatus (6) (7) and microwave generating apparatus (3) hang on the high-tension insulator.
The course of work of this device is following:
1. icing checkout gear (4) finds that power line icing quality reaches design load, sends ice-melt operation sign on.
2. microwave generating apparatus (3) produces microwave.
3. through microwave transmission unit (2), be fed to the microwave energy segmentation power cable with " microwave energy-heat energy " translation function.
4. the power cable that has " microwave energy-heat energy " translation function converts microwave energy to heat energy, and heating power line icing dissolves until icing.
5. the icing checkout gear sends termination of job instruction, and microwave generating apparatus quits work.
The microwave frequency that the present invention adopts is that 300MHz is to 4GHz.
The present invention compared with prior art has following remarkable advantage:
1, carry out power line ice-melt operation during, electric power network need not the interrupt power supply, reduces because the caused indirect economic loss of power failure.
2, compare with the conventional high-tension power cable, there is not the metal waste in the power cable with " microwave energy-heat energy " translation function of the present invention.[--all metal structures that promptly have the power cable of " microwave energy-heat energy " translation function have all been participated in the transmission of 50Hz power frequency electric power electric current.]
3, the sub-device ice covering thickness checkout gear (4) of device according to the invention has been realized the unattended operation of power line ice-melt.
4, the sub-device standby power supply device (5) of device according to the invention has increased the reliability of system.
Description of drawings
Below in conjunction with accompanying drawing and embodiment the present invention is done further explain.
Fig. 1 is a system functional block diagram of the present invention
Fig. 2 is cut-away view and the sectional structure chart with power cable of " microwave energy-heat energy " translation function of the present invention.
Fig. 3 is the layout sketch map that the present invention is used for high-voltage fence.
Embodiment
Fig. 1 utilizes the power cable heating with " microwave energy-heat energy " translation function to eliminate the system block diagram of the device of power line icing.The power cable that has " microwave energy-heat energy " translation function for utilization of the present invention heats the device of eliminating the power line icing, and whole device is made up of following sub-device: power cable (1), microwave transmission unit (2), microwave generating apparatus (3), ice covering thickness checkout gear (4), standby power supply device (5), electric power supply apparatus (6) (7) with " microwave energy-heat energy " translation function.
Link to each other by microwave transmission unit (2) between microwave generating apparatus (3) and the power cable with " microwave energy-heat energy " translation function (1); It is as shown in Figure 3 built on stilts by electric tower to have the power cable (1) of " microwave energy-heat energy " translation function, is linked to each other by microwave transmission unit (2) between the power cable (1) that every section has " microwave energy-heat energy " translation function.Microwave generating apparatus (3) is according to the difference of watt level, and separation is on electric tower.Every cover microwave generating apparatus (3) is equipped with a cover ice covering thickness checkout gear (4), standby power supply device (5), electric power supply apparatus (6) (7).
The sub-device of being made up of microwave generating apparatus (3), ice covering thickness checkout gear (4), standby power supply device (5), electric power supply apparatus (6) (7) is hung on the electric tower by insulator.
Microwave transmission unit (2) is accomplished microwave power signal by microwave generating apparatus presenting to power line.Microwave transmission unit allows the propagation of microwave from microwave generating apparatus to the power cable with " microwave energy-heat energy " translation function; Check the propagation of microwave, allow the propagation of microwave between power cable with " microwave energy-heat energy " translation function from power cable to microwave generating apparatus with " microwave energy-heat energy " translation function.
Ice covering thickness checkout gear (4) is according to the weight detecting ice covering thickness of icing on the device transducer probe; Carry heating system in the transducer probe; After microwave generating apparatus (3) starts; Heating system in the transducer probe starts thereupon, and icing melts the speed of melting that speed is equal to icing on the power line on the transducer probe.
Microwave generating apparatus (3) can select magnetron, klystron and travelling wave tube etc. as microwave source according to the difference of operating frequency.
Fig. 2 has specified the internal structure of the power cable (8) with " microwave energy-heat energy " translation function.50Hz power frequency electric power electric current transmits in central inner conductor (10) and cable outer conductor (9).High-temperature insulation medium (12) transmission of microwave between outer surface that is arranged in central inner conductor (10) and cable outer conductor inner surface; The energy that microwave carries converts heat energy in " microwave energy-heat energy " conversion coating (11), this coating can not produce excess loss to the 50Hz power current.
Microwave energy-thermal power transfer coating (11) is by having microwave absorbing, microwave-thermal conversion materials with function preparation, like ZnO (w) tetrahedron ZnOw, Ba 2Ni 2-xZn xFe 12O 22Or Ba 2Ni 2-Ni 2YFe 12O 22Hexagon Ferrite Material etc.
Have every meter thermal conversion power of the power cable of " microwave energy-heat energy " translation function, control by the thickness of microwave-thermal conversion coating.Heat energy is transmitted to the outer conductor of cable from " microwave energy-heat energy " conversion coating (11), heats whole power cable and the icing on the power line is heated.
The power cable with " microwave energy-heat energy " translation function of preparation high power tolerance limit should be accomplished single production with power cable (8) of " microwave energy-heat energy " translation function at first according to structure shown in Figure 2.Outward appearance and simple metal cable with power cable (8) finished product of " microwave energy-heat energy " translation function are as good as, and directly drop into common power cable production equipment and can prepare power cable (8) strand that has " microwave energy-heat energy " translation function by multiply according to the flow process of producing common power cable and knit the power cable that the high-power steel core that forms has " microwave energy-heat energy " translation function.
Erecting process flow process with power cable of " microwave energy-heat energy " translation function can be applied mechanically conventional high voltage power cable and set up flow process; Only need, old process link to each other the power cable with " microwave energy-heat energy " translation function (8) with microwave transmission unit (2) after accomplishing.
Microwave by microwave generating apparatus (3) produces is given the power cable (1) with " microwave energy-heat energy " translation function via microwave transmission unit (2) one-way transmission, and the microwave of transmission transmits via the power cable (1) of microwave transmission unit (2) to adjacent having " microwave energy-heat energy " translation function step by step in the power cable with " microwave energy-heat energy " translation function (1).Microwave is in transmission course, and its electromagnetic energy that carries is converted into the icing on heat energy heating power line and the power line by the power cable with " microwave energy-heat energy " translation function (1).
When the present invention had the power cable (8) of " microwave energy-heat energy " translation function in preparation, the typical material that microwave-thermal conversion coating (11) is used was-ZnO (w) tetrahedron ZnOw that corresponding with it microwave source frequency is 2.45GHz ± 0.5GHz.[at this Frequency point, the thermal conversion efficiency of ZnO (w) is the highest]
During preparation microwave-thermal conversion cable core (8), microwave-thermal conversion coating (11) can also be used Ba 2Ni 2-xZn xFe 12O 22And Ba 2Ni 2-Ni 2YFe 12O 22Deng the hexagon Ferrite Material, corresponding with it microwave source frequency is 1GHz-4GHz.[at this frequency separation, the ferritic thermal conversion efficiency of hexagon is the highest]

Claims (9)

1. power cable with " microwave energy-heat energy " translation function; It is characterized in that: this cable has the section of coaxial configuration; This cable section is made up of cable outer conductor (9), microwave energy-thermal power transfer coating (11), high-temperature insulation medium (12) and central inner conductor (10) from outside to inside, and said microwave energy-thermal power transfer coating is by having microwave absorbing, microwave-thermal conversion materials with function preparation.
2. power cable according to claim 1 is characterized in that:
Microwave energy-thermal power transfer coating (11) is made up of ZnO (w) tetrahedron ZnOw.
3. power cable according to claim 1 is characterized in that:
Microwave energy-thermal power transfer coating (11) is by Ba 2Ni 2-xZn xFe 12O 22Or Ba 2Ni 2-Ni 2YFe 12O 22The hexagon Ferrite Material constitutes.
4. according to any described power cable among the claim 1-3, it is characterized in that:
Microwave energy-thermal power transfer coating (11) converts microwave energy into heat energy, and this coating can not produce excess loss to the 50Hz power current.
5. according to any described power cable among the claim 1-3, it is characterized in that:
This cable can carry out multiplexing transmission to 50Hz power frequency electric power electric current and microwave power signal.
6. power cable according to claim 1 is characterized in that:
This cable can constitute that multiply twines that strand is knitted together or multiply and load-bearing steel core twine strand and knit and be in the same place.
7. an application rights requires the deicing device of 1 described power cable, it is characterized in that possessing:
Microwave transmission unit (2);
Microwave generating apparatus (3);
Ice covering thickness checkout gear (4);
Electric power supply apparatus (6,7);
Wherein, The power cable (1) that is used to carry out " microwave energy-heat energy " conversion is connected to microwave generating apparatus (3) through microwave transmission unit (2); The startup of ice covering thickness checkout gear (4) controlled microwave generating means (3) with close, electric power supply apparatus (6,7) provides supply of electric power for microwave generating apparatus (3) and ice covering thickness checkout gear (4).
8. deicing device according to claim 7 is characterized in that:
Described microwave transmission unit allows the propagation of microwave from microwave generating apparatus (3) to " microwave energy-heat energy " conversion cable; Check the propagation of microwave, allow the propagation of microwave between power cable with " microwave energy-heat energy " translation function from " microwave energy-heat energy " conversion cable to microwave generating apparatus.
9. deicing device according to claim 7 is characterized in that:
Described checkout gear is according to the weight detecting ice covering thickness of icing on the device transducer probe; Carry heating system in the transducer probe; After microwave generating apparatus (3) starts; Heating system in the transducer probe starts thereupon, and the dissolution velocity of icing is equal to the dissolution velocity of icing on the power cable on the transducer probe.
CN2008100894579A 2008-04-01 2008-04-01 Microwave self-heating power cable and de-icing device applying same Expired - Fee Related CN101552051B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN2008100894579A CN101552051B (en) 2008-04-01 2008-04-01 Microwave self-heating power cable and de-icing device applying same

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN2008100894579A CN101552051B (en) 2008-04-01 2008-04-01 Microwave self-heating power cable and de-icing device applying same

Publications (2)

Publication Number Publication Date
CN101552051A CN101552051A (en) 2009-10-07
CN101552051B true CN101552051B (en) 2012-03-07

Family

ID=41156238

Family Applications (1)

Application Number Title Priority Date Filing Date
CN2008100894579A Expired - Fee Related CN101552051B (en) 2008-04-01 2008-04-01 Microwave self-heating power cable and de-icing device applying same

Country Status (1)

Country Link
CN (1) CN101552051B (en)

Families Citing this family (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106451293B (en) * 2016-09-09 2018-09-18 安徽伊法拉电气有限公司 A kind of ultra-high-tension power transmission line ice-melt tracing system
CN106304436B (en) * 2016-09-30 2022-11-25 四川大学 Ice melting equipment for self-melting ice conductor
CN111472945A (en) * 2020-03-23 2020-07-31 国家电投集团广西兴安风电有限公司 Wind-powered electricity generation field icing monitoring and early warning device based on electromagnetic resonance principle
CN113380468A (en) * 2021-06-22 2021-09-10 四川大学 Cable dehumidification method based on microwave injection heating and vacuum air extraction

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101029478A (en) * 2007-03-29 2007-09-05 美的集团有限公司 Method for removing ice and snow on road surface by magnetron microwave

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101029478A (en) * 2007-03-29 2007-09-05 美的集团有限公司 Method for removing ice and snow on road surface by magnetron microwave

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
JP特开2000-184567A 2000.06.30
JP特开平7-23520A 1995.01.24

Also Published As

Publication number Publication date
CN101552051A (en) 2009-10-07

Similar Documents

Publication Publication Date Title
CN101552051B (en) Microwave self-heating power cable and de-icing device applying same
CN101272041B (en) Wire-protecting and de-icing method of unit type high tension power line
RU2356148C1 (en) Method and device for deicing on electric power lines
CN203086084U (en) Current transformer-type power transmission line heating ice-melting apparatus
US20130092678A1 (en) System And Method For De-Icing Conductive Objects Utilizing At Least One Variable Resistance Conductor With High Frequency Excitation
CN105128704B (en) A kind of intelligent automatic neutral-section passing system
CN103490645A (en) Single-phase electrified railway contact net direct-current deicing device and system
CN101286382B (en) Powerline ice and snow removing method
CN201126735Y (en) Ice-and-snow removing conductor
CN107993778A (en) A kind of insulator ice coating resistant device based on wireless power transmission
CN216014896U (en) Cable with automatic ice-removing function
CN102136710B (en) Self-heating deicing system of high-tension transmission lines
CN203839837U (en) Subsection de-icing device for power transmission line
CN103151746A (en) Internal recyclable ice melting method of composite overhead ground wire capable of melting ice
CN105743226A (en) Non-contact power supply system for electric locomotive
CN101458974A (en) Conductive corrugated tube
CN103296631B (en) The hot deicing device of current transformer type transmission line wire that second capacitor compensates
CN206650402U (en) The deicing device of wire suspension string
CN103151745A (en) Method for deicing by connecting double-side deicing overhead ground wires in series
CN201251941Y (en) Outer layer insulating single-line insulating round-line concentric stranded wire overhead line conductor and an automatic thawing apparatus
CN204243694U (en) A kind of power transmission line ice and snow protector
CN202887432U (en) Wireless digital signal transmission system
CN206712417U (en) Ice-melt gold utensil
CN203179595U (en) Deicing lead
CN204243695U (en) A kind of power transmission line ice and snow protector

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
C14 Grant of patent or utility model
GR01 Patent grant
TR01 Transfer of patent right

Effective date of registration: 20181224

Address after: 102206 A206, 2nd floor, No. 1 Building, 29 Shengyuan Road, Huilongguan Town, Changping District, Beijing

Patentee after: Interstellar spacewalk (Beijing) Aerospace Technology Co., Ltd.

Address before: Room 1202, Gate 1, Building 5, Yangzhuang Central District, Shijingshan District, Beijing 100043

Co-patentee before: Liu Haitao

Patentee before: Kang Di

TR01 Transfer of patent right
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20120307

Termination date: 20210401

CF01 Termination of patent right due to non-payment of annual fee