United States Patent [191 [11] Patent Number: Lipo et al. [45] L [54] STATIC POWER CONVERSION APPARATUS USING A HIGH FREQUENCY SERIES RESONANT DC LINK 648-656. D. M. Divan and G. L. Skibinski, “Zero Switching Loss Inverters for High Power Applications,” IEEE-IAS Annual meeting Conference Record, Feb. 1987, pp. 627-634. D. M. Divan, “Diodes as Pseudoactive Elements in High-Frequency DC/DC Converters,” PESC 1988, Kyoto, Japan, Apr. 1988. Sep. 28, 1989 [51] Int. Cl.5 .......................................... .. H02M 7/521 [52] US. Cl. .................................... .. 363/136; 363/37; [58] Field of Search ..................... .. 363/34, 37, 95, 96, D. M. Divan, “Power Converter Topologies for High Performance Motion Control Systems,” 1987 CAMC Conference Report, Jun. 1987. D. M. Divan, “Design Consideration for Very High —Frequency Resonant Mode DC/DC Converters,” 1986 IAS Conference Report, Oct. 1986. 363/137 363/136, 137 [56] References Cited Primary Examiner-Mark O. Budd U.S. PATENT DOCUMENTS 3,222,587 12/1965 3/ 1988 Divan 363/ 137 363/37 ........... ... . . . .. 4,805,082 2/ 1989 Heinrich et a1. 4,864,483 9/1989 Assistant Examiner-Jeffrey Sterrett Attorney, Agent, or Firm-Lathrop & Clark Lichowsky ......................... .. 363/37 3,940,669 2/ 1976 Tsuboli et a1. 4,638,138 l/1987 Rosa et a1. 4,730,242 Jul. 17, 1990 New Concept in Static Power Conversion,” IEEE-IAS Annual Meeting Conference Record, Mar. 1986, pp. [75] Inventors: Thomas A. Lipo, Madison, Wis.; Yoshihiro Murai, Seki, Japan [73] Assignee: Wisconsin Alumni Research Foundation, Madison, Wis. [21] Appl. N0.: 414,202 [22] Filed; Date of Patent: 4,942,511 [57] 363/ 37 ABSTRACT A high ef?ciency power converter is achieved which 363/37 eliminates the needs for self-commutated devices and Divan .................................. .. 363/37 requires only twelve thyristors for full double bridge OTHER PUBLICATIONS Pradeep K. Sood and Thomas A. Lipo, “Power Con version Dibstribution System Using a Resonant High AC/AC power conversion. The system utilizes a series resonant DC link between the AC/DC and DC/AC -Frequency AC Links”, IEEE-IAS Annual Meeting Conference Record, Mar. 1986, pp. 533-541. mutating circuit which ensures turn off of all twelve converters. The DC resonant circuit functions as a com Hian K. Lauw et al., “Variable-Speed Generation with thyristors by providing the necessary zero current in stants. A signi?cantly improved sinusoidal current the Series-Resonant Converter,” IEEE Transaction on waveform can be obtained on both the input and the Energy Conversion, vol. 3, No. 4, Dec. 1988, pp. 755-764. Sjoerd W. H. de Haan and J. D. Lodder, “A Formalis tic Approach to Series-Resonant Power Conversion,” EPE Conference Record, May 1987, pp. 231-238. D. M. Divan, “The Resonant DC Link Converter-A Tcrc AC TiisiS61L2k6' source 64 62 ‘ La Freq. 13 Claims, 16 Drawing Sheets 50 ' 4'2 T cs Tcrc 65 “ Conv; Gates Source tion. id ?’s 63 output compared to conventional high power convert ers by the use of high frequency pulse density modula ‘ id \ gym-l cc/oc Conversion rgno Control i Iref fout US. Patent Jul. 17, 1990 7 Sheet 1 ‘of 16 4,942,511 FIG. I T I { ==c0 l Lo . - (PRIOR ARTI D u______ \vub K K / Um IE I F_T__T__,°2_.I%IST°I UP FIG. 2 (PRIOR ARTI ' I III {Him FIG. 3 I I (PRIOR ART) US. Patent Jul. 17,1990 Sheet 2 of 16 40 38\ 4| io\,Co p 8 L0 is Tn 39 \E Id [CR 43 42 + C VL - F44 FIG. 4 F IG. 5 20 (A) ‘S ‘ 48 I I0 / WWW/W o 0.2 0.4 06 ——->t .(ms) FIG.‘ 6 4,942,511 US. Patent Jul. 17, 1990- Sheet 3 of 16 4,942,511 20 (A) ‘ is 49 I la / M/m FIG. 8 0 0 0.2 0.4 0.6 -—>t (ms) 50 Tcrcm/ /'I\J lcrc FIG. 9 US. Patent Jul.17, 1990 Sheet 6 of 16 4,942,511 US. Patent Jul. 17, 1990 R Sheet 11 of 16 4,942,511 L _ E|sin(w’t-¢) 88 as M M 0 FIG. 26 IO W FIG. 27 20 t—-——> (ms) AN 1 Um FIG. 28 US. Patent Jul. 17, 1990 Sheet 12 of 16 4,942,511 97 97\ —-'| ibref in _ ? C§E————>8b Kdr " Tb £0 i : 7% FIG. 29 FIG. 50 0 , iu MLMHUWJ"?lmI'll1,I . “WW ' 0 IO W 20 30 ms FIG. 5| US. Patent ll Jul. 17, 1990 l Sheet 13 of 16 98 cdmp __< watt 60 A Erpl= I00 ‘v i c-dmp= L016 i as \ Pdss / l Hp‘: 2000 H2 l 30 : / /‘?000 \\ I [5 i l' I 0 0 500 \\ f 250/ / IE 3.2 4.8 Rdmp Cdmp 04 8.0 x IO'A sec 4,942,511 US. Patent Jul. 17, 1990 IOA Sheet 14 of 16 4,942,511 US. Patent Jul. 17,1990 Sheet 16 of 16 4,942,511 20.0 0 I2 400 0 400I20 / b5 < O: H S O O O__ o <r l <2 I O Q N s T | l O Q. o‘ N l ou N 0.00 0.80 L60 2.40 T "'°'2 3.20 4.00 FIG. 39 -0.|20 -0.60 L000.00 0.02 0.04 0.07 0.9 0 l2 1 4,942,511 2 the AC/DC and DC/A_C converters which provides a natural commutation capability and allows for inter STATIC POWER CONVERSION APPARATUS USING A HIGH FREQUENCY SERIES RESONANT DC LINK ruptible switching. By using pulse density modulation this circuit enables the realization of low distortion sinusoidal current as well as unity power factor on both TECHNICAL FIELD the AC/DC and DC/AC side converters. The invention further provides a power conversion system utilizing a series resonant DC-link which elimi nates oscillation in the output through the use of deriva tive feed-back and damping circuits. Further objects, features, and advantages of the in vention will be apparent from the following detailed description when taken in conjunction with the accom This invention pertains generally to the ?eld of static power converters and systems for the control of static power converters. BACKGROUND OF THE INVENTION In the past few years remarkable progress has been made in the development of high power density _ AC/DC converters using resonant-link‘ schemes which utilize high speed devices such as fast recovery transis 15 panying drawings. tors and GTO’s. These new converters not only have BRIEF DESCRIPTION OF THE DRAWINGS high power density but also possess very low switching In the drawings: losses because switching of the devices takes place at zero-voltage instants and thus the total system is able to operate at very high frequency compared to conven tional DC link transistorized converters. Although these resonant-link converters are intended to operate at high power density, almost all the systems require self commutated switching devices and have some di?iculty performing conversion at very high power levels be cause of the relatively low voltage and current margins that self commutated devices, such as transistors, typi FIG. 1 is a schematic circuit diagram of a prior art parallel resonant AC-link power converter. FIG. 2 is a schematic circuit diagram of a prior art series resonant AC-link power converter. FIG. 3 is a schematic circuit diagram of a prior art parallel resonant DC-link power converter. FIG. 4 is a schematic circuit diagram showing a series 25 resonant circuit, with parallel inductance Ld. FIG. 5 are graphs illustrating the current waveforms in the circuit of FIG. 4. FIG. 6 is a graph illustrating the source current In general, switching schemes for resonant convert waveform for the circuit of FIG. 4. ers can be classi?ed according to their resonant AC-link FIG. 7 is a schematic circuit diagram showing an and resonant DC-link modes. The resonant AC circuits alternate con?guration of the series resonant compo utilize either a parallel resonant circuit (FIG. 1) or a nents shown in the circuit of FIG. 4. series resonant circuit (FIG. 2). The AC resonant cir FIG. 8 is a graph illustrating the source current cuit impresses both polarities of AC voltage and current on the link so that the switches of the input and output 35 waveform for the circuit of FIG. 7. FIG. 9 is a schematic circuit diagram illustrating a side converters are required to carry both positive and series resonant circuit with a circulating current thy negative currents as well as block both polarities of voltage. The converter switches must therefore be bi ristor. directional switches which are usually realized by two FIG. 10 are graphs illustrating circuit behavior of the cally have. inverse-parallel transistors or thyristors for the parallel 40 circuit of FIG. 9 without the circulating current thy and series resonance circuits, respectively. ristor. DC-link circuits have been developed which realize FIG. 11 are graphs illustrating the circuit behavior of pulsating DC currents in the link by adding DC offsets the circuit of FIG. 9 with the circulating current thy to the AC resonant current. The resonant DC-link con ristor. verters reported in the past have been parallel resonant 45 FIG. 12 are graphs illustrating link current wave types, as shown in FIG. 3. See also, U.S. Pat. No. forms without regulation of current through the DC 4,730,242 to Divan, which discloses parallel resonant bias inductor. link converter systems wherein the switching devices FIG. 13 are graphs illustrating link current wave are switched at times of zero voltage to minimize forms with regulation of current through the DC bias switching losses. inductor. FIG. 14 is a schematic circuit diagram of a current SUMMARY OF THE INVENTION control scheme to control current through the DC bias A power conversion system in accordance with the inductor. present invention utilizes a series resonant DC-link in volving a con?guration which employs only unidirec 55 FIG. 15 is a schematic circuit diagram of an AC/DC converter in a motoring mode. FIG. 16 is a schematic circuit diagram of an AC/DC converter in a circulating mode. occurs at zero-crossing instants of voltage, the present FIG. 17 is a schematic circuit diagram of an AC/DC invention utilizes switching of the converter switches only at the zero-crossing instants of the link current. 60 converter in a regenerating mode. tional switches. Unlike the DC parallel resonant con verters in which switching of the converter switches Since the current drops below the holding current, the natural tum-off ability of a conventional thyristor is utilized for commutation. Thus, high power thyristors FIG. 18 is a schematic circuit diagram illustrating the formation of a series resonant DC-link power con verter. FIG. 19 is a schematic circuit diagram showing the link current is unidirectional, only the usual six thy 65 detailed circuit implementing the series resonant DC can be utilized with minimal switching loss. Since the ristors are needed per converter bridge. - The present invention provides a power conversion system which utilizes a series resonant DC-link between link scheme. FIG. 20 are graphs illustrating the distribution of current pulses to a three-phase load. 3 4,942,5l l 4 FIG. 21 are graphs illustrating current reference waveforms. FIG. 22 is a schematic circuit diagram of a current feed~back selection circuit. FIG. 23 is a current and thyristor selection table. FIG. 24 is a table illustrating the polarity of current -continued error for each of the operating modes. Assume the load thyristor 43 shown in FIG. 4 is FIG. 25 is a schematic circuit diagram of the control circuit for the overall system. FIG. 26 is a schematic circuit diagram showing a ?rst load circuit. FIG. 27 is a graph illustrating current waveforms for switched to the conducting state at t=0. If the DC bias inductor 42 and load capacitor 44 are sufficiently large to maintain the current idand voltage VL constant, then the current is is easily solved by de?ning the intial condi tions, a ?rst set of load conditions. FIG. 28 is a graph illustrating current waveforms for a second set of load conditions. 15 FIG. 29 is a block diagram of the power converter system illustrating the use of a current feed-back loop with a derivative element. FIG. 30 is a graph illustrating output current without 20 where 14 and V4) are constants. The solution to these the use of derivative feed-back. equations is FIG. 31 is a graph illustrating output current with derivative feed-back. FIG. 32 is a schematic circuit diagram of a single phase damping circuit. 25 FIG. 33 is a schematic circuit diagram of a three phase R-C damping circuit. FIG. 34 is a graph illustating the dissipated energy in damping resistor RP. FIG. 35 is a graph illustrating output current employ 30 and ing damping circuit only. FIG. 36 is a graph illustrating output current employ ing both derivative feed-back and damping circuit. i0 + id Co FIG. 37 is a graph illustrating output current without ll . 76-- E' sinmt + Id(l — coswt) the use of either a damping circuit or derivative feed 35 back. - FIG. 38 is a block diagram of another control system for the conversion apparatus. Letting, FIG. 39 is an illustrative graph of motor current utilizing the control system of FIG. 38. ix = Id(l - coswt), iv = FIG. 40 is an illustrative graph of motor voltage utilizing the control system of FIG. 38. ‘ -% C E’ sinmt the current in the link can be written as, DESCRIPTION OF THE PREFERRED EMBODIMENT 45 To illustrate the principles of the present invention, a series resonant circuit 38 is shown in FIG. 4 which can be controlled to function as a DC resonant link. The circuit 38 includes a direct current (DC) voltage source is=io+id. Typical waveforms for the currents i0, id, and is are shown in graphs 45, 46, and 47 respectively, in FIG. 5. As long as the voltage E’ remains positive, the link current reaches zero and the load thyristor 43 is able to commutate at t=t1. Unfortunately, however, in an ac tual circuit with a ?nite inductor 42 and ?nite capacitor power supply 39, a series resonant capacitor 40 (of capacitance Co), a series resonant inductor 41 (of induc‘ tance L0), a DC bias current inductor 42 (of inductance 44, the current id continues to increase if E’ is positive Ld), a load thyristor 43, and a load capacitor 44. The and makes the commutation of load thyristor 43 very capacitor 40 and inductor 41 are the resonant elements 55 dif?cult, as shown by graph 48 in FIG. 6. Because the selected to resonate at a frequency consistent with the resonant link current fails to reach zero during any turn off capability of the load thyristor 43 and are rela portion of the resonant cycle, it is impossible to turn off tively small. The DC bias inductor 42 is a larger induc the load thyristor 43. tor which is controlled to support the DC bias current. FIG. 7 shows an improved connection in which the The currents in FIG. 4 are obtained from the following 60 DC bias inductor 42 is connected in parallel with the equations: resonant capacitance 40. As the voltage across the in ductor 42 changes according to the capacitor voltage V0, commutation of the thyristor'becomes possible be cause the resonant current has an oscillation which is 0 did E = LdT + VL 65 not growing, as shown by graph 49 in FIG. 8. In order to prevent overcharging of the resonant capacitor 40 during the zero current intervals, a circu lating thyristor 50 and tapped inductor 41 can be uti 4,942,51 l 5 6 lized as shown in FIG. 9. The thyristor 50 is triggered to circulate the current i0 whenever is becomes zero. This zero current condition is also required to regulate the output current of the inverter for pulse density modula tion and will be described below. ' FIGS. 10 and 11 show the current is and voltage VL waveforms with and without use of the circulating current thyristor 50, respectively. When a signal to stop . Thus far, it has been assumed that the source voltages are essentially constant. Since the source voltages are, in fact, alternating, the identity of the most positive and most negative phase must be established before switch ing of the source side bridge can commence. The selec tion of the source voltages, utilizing a common three phase bridge, are easily accomplished as shown in FIGS. 15, 16, and 17. When positive, a large positive ?ring the load thyristor 43 occurs, a dead zone appears in the source current waveform as shown by graph 50 in FIG. 10. As a result, the average output voltage VL does not change substantially and a large pulse of cur rent appears when conduction of the load thyristor 43 commences again. Alternatively, for the case with the voltage E’ is needed to cause the current is to increase. The bridge thyristors 60-65 are triggered as shown in circulating thyristor 50 present, the current is is readily interrupted while the load thyristor 43 triggering signal always positive, the con?guration of FIG. 17 regener= is set to zero and a current im- ?ows during this period, as shown by graphs 51 and 52 of FIG. 11. heavy lines in FIG. 15 and supply positive voltage Vd to the resonant current. FIG. 16 shows the zero voltage mode and FIG. 17 shows the negative voltage mode. These modes are used to decrease the current id. As is is ates back to the AC source. When the DC series resonant link circuit is used in a three phase front end bridge circuit in conjunction with In practice, the circulating thyristor 50 can be ?red a three phase inverter circuit as shown in FIG. 18, and not only when a stop signal for is appears, but can also 20 in further detail in FIG. 19, the pulses generated in the function as a clipper for is and VL, in which case the resonant circuit must be distributed to each inverter resonance of the LC tank becomes quite stable. The tap phase. The thyristors 66-71 in FIG. 19 function as a ratio 11 (n< l) of the resonant inductance 41, shown in distributor to switch or redirect the link current at the FIG. 9, affects the sensitivity of the clipping ability of instants where the current is is equal to zero. Since the the circulating thyristor 50. If n is set to a large value, 25 circuit is resonant, this instant occurs when nearly zero the overshoot of current is and the voltage VL increase voltage exists across the thyristor so that the losses in and the resonance tends to become unstable. On the the thyristors are relatively small. Graphs 72, 73, and 74 other hand, when n is chosen very small (nearly zero), in FIG. 20 show the pulse density distribution for each the current is goes to zero rapidly whenever the voltage phase in the output of the DC/AC side converter. V; becomes equal to E and the necessary zero current 30 The distribution of the pulses to each phase as illus cannot be attained. trated in FIG. 20 is automatically determined by com In order to maintain control of the amplitude of the pulses as illustrated by graph 49 in FIG. 8, regulation of paring the current pulses with the instantaneous phase as shown by graphs 53 and 55 in FIG. 12. Hence, cur operated sychronized to the triggering signal of the DC/AC converter thyristor ?ring instants. currents. FIG. 21 shows the current references i1, and the DC link current is is required. Graph 53 in FIG. 12 and graph 54 in FIG. 13 illustrate how the link current 35 izs, FIG. 22 shows the corresponding phase currents isa, isb, and iss and the conducting thyristors in the con is varies without and with regulation, respectively. In verter. For example, the current references in and i2, general, the average value of the current pulse is ap correspond to is” and isb within the ?rst 60 degrees, at proximately proportional to id. When E’ is large, is which point thyristors 66, 67, and 71 are triggered. In increases and id also increases, as shown by graphs 53 the next 60 degrees, these currents correspond to --iss 40 and 55 in FIG. 12. After is reaches zero at t=t1, the load and —iss and thyristors 71, 69, and 67 are triggered and thyristor 43 turns off and the current id charges up the so on. Accordingly, the same reference table is repeti resonant capacitor 40 generally to a larger value than tively used and makes the ROM table very small. The that which existed on the capacitor before the previous currents i1 and i; are detected from a current sensor 79 pulse. After each subsequent turn on of the load thy~ ristor 43, the current idand is pulses continue to increase 45 with sampling switch 80, as shown in FIG. 22, which is rent regulation for this type of converter is mandatory. Regulation of the DC inductor current is is accom plished very easily by current feedback as shown in The DC/AC converter thyristors are triggered to reduce the maximum error of the three phase currents. FIG. 14. A circuit 56 includes a three pole switch 57 50 Errors es, ch, as are obtained from e1, e2 depending upon which may be connected to either a positive voltage source 58, negative voltage source 59, or to a short the chart shown in FIG. 23. FIG. 24 shows the possible combinations of the e,,, e;,, and es for iss, isb, iss, respec circuit condition for which the voltage E is equal to zero. After comparing id with the current reference Idref, the source voltage E is adjusted via the switch 57 to make the error small. For example, if the error ed=I [inf-Id is positive, E is switched from V4 to zero or —V,{; if ed is negative, it goes from —V,; to zero or Vd. As the ability to control id also depends on E’ (=E—VL), the measured value of VL is used for this purpose. While the load thyristor 43 is off, the DC bias inductor 42 charges up the resonant capacitor 40 to a negative polarity to prepare for conduction of the load thyristor 43. The current is carries the energy from the tively. resonant circuit to the load or AC source depending be triggered; upon the polarity of V[_ and B. When E is negative, (ii) the phase corresponding to the error with the opposite polarity error is selected as the other trigger energy ?ows back to the source and when VL is positive the energy ?ows to the load. As the sum of the errorssmust satisfy the relation all the three errors clearly cannot have the same polar ity. As the output circuit does not have any neutral line, the current pulse should flow into the postive error phase and ?ow out from the negative error phase. Hence, the triggering principle is (i) the thyristor in the phase having the larger error out of the two phases of the same polarity is chosen to ing phase.