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USRE42658E1 - Gate driver multi-chip module - Google Patents

Gate driver multi-chip module
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Publication number
USRE42658E1
USRE42658E1US11/787,234US78723407AUSRE42658EUS RE42658 E1USRE42658 E1US RE42658E1US 78723407 AUS78723407 AUS 78723407AUS RE42658 EUSRE42658 EUS RE42658E
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Prior art keywords
power
substrate
mosfets
disposed
ground
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US11/787,234
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David Jauregui
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Infineon Technologies North America Corp
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International Rectifier Corp USA
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Assigned to Infineon Technologies Americas Corp.reassignmentInfineon Technologies Americas Corp.CHANGE OF NAME (SEE DOCUMENT FOR DETAILS).Assignors: INTERNATIONAL RECTIFIER CORPORATION
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Abstract

A multi-chip module (MCM) provides power circuitry on a computer motherboard in a package of reduced size without sacrificing performance. The MCM co-packages essential power circuit components on a ball grid array (BGA) substrate. Two power MOSFETs disposed on the BGA substrate are connected in a half-bridge arrangement between an input voltage and ground. A MOSFET gate driver is electrically connected to respective gate inputs of the two power MOSFETs for alternately switching the power MOSFETs to generate an alternating output voltage at a common output node between the power MOSFETs. At least one Schottky diode is disposed on the BGA substrate and connected between the common output node and ground to minimize losses during deadtime conduction periods. The input capacitor of the circuit is contained within the MCM housing and is located close to the MOSFETs, reducing stray inductance in the circuit. The MCM package is thin and has dimensions of about 1 cm by 1 cm or less.

Description

CROSS REFERENCE TO RELATED APPLICATIONS
This is a continuation of U.S. patent application Ser. No. 09/813,011, filed Mar. 21, 2001 abandoned, which is based upon and claims priority of U.S. Provisional Application Ser. No. 60/191,125, filed Mar. 22, 2000.
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a multi-chip module (MCM). More specifically, the present invention relates to an MCM power circuit for a computer motherboard.
2. Description of the Related Art
Power supply circuitry typically occupies a substantial area on a computer motherboard. It would be desirable to reduce the size of the power circuitry on a computer motherboard without sacrificing performance.
SUMMARY OF THE INVENTION
The present invention provides an MCM which includes a MOSFET gate driver, two power MOSFETs, and associated passive elements including an input capacitor all mounted on a ball grid array (BGA) substrate and packaged in a single chip.
The power MOSFETs of the MCM of the present invention are connected in a half-bridge arrangement between an input voltage and ground. The MOSFET gate driver is connected to respective gate inputs of the two power MOSFETs, and alternately switches the power MOSFETs to generate an alternating output voltage at a common output node between the power MOSFETs. At least one Schottky diode is disposed on the BGA substrate and connected between a common output node and ground to minimize losses during deadtime conduction periods.
The passive circuit components include an input capacitor connected between the input voltage and ground which provides input capacitance for the converter. Advantageously, the input capacitor is physically close to all other components. Additional components provide appropriate biasing for the gate driver. All components are encased in a molding compound to form the MCM package.
By mounting the input capacitor very close to other components and within the very small package, a number of advantages are realized, as follows:
First, there is a very low stray inductance between the input capacitor and the MOSFETs which reduces the “ring” that would be caused in the circuit including the MOSFET parasitic capacitance COSSand the stray inductance L. Reducing the inductance reduces the circuit ring.
Second, the location of the input capacitor within the MCM package provides layout independence for the mother board, which no longer needs to contain that capacitor (at a distance from the MOSFETs in the MCM package).
Third, the capacitor acts as a bypass to conduction of unintended current (with a high di/dt) through the body diode of one of the MOSFETs in the package and acts to help clamp the QRR(reverse recovery charge) of the MOSFET.
The module preferably is enclosed in a package that has side dimensions of about 11 mm×11 mm (i.e., about 1 cm×1 cm) or less. Accordingly, the input capacitor is located less than 1 cm from the MOSFET.
The MCM of the present invention advantageously results in a 50% reduction in size with no performance trade off and is printed circuit board (PCB) independent. The package advantageously provides a performance increase over the discrete solution.
Other features and advantages of the present invention will become apparent from the following description of the invention which refers to the accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a plan view drawing of the co-packaged active and passive components in the MCM of the present invention.
FIG. 2 is an elevation view drawing of an MCM according to the present invention.
FIG. 3 is a circuit schematic of an MCM according to the present invention.
FIG. 3A is an equivalent circuit diagram of a portion ofFIG. 3.
FIG. 4 is a timing diagram for an MCM according to the present invention.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
Referring toFIG. 1, a diagram of a preferred layout forMCM2 of the present invention is shown. MCM2 includes six die mounted on a BGA substrate4. A plurality ofbonding pads6 are disposed on the upper surface of substrate4.
Die8 and10 are power MOSFETs, preferably IRFC7811A and IRFC7809A power MOSFETs, respectively, mounted in a half-bridge configuration. Die12 is a MOSFET gate driver, preferably a Semtech SC1405 High Speed Synchronous Power MOSFET Smart Driver. Die14,16, and18 are Schottky diodes, preferably SKM863 diodes, connected as shown in the circuit schematic ofFIG. 3. The active components mounted on the upper surface of substrate4 are connected electrically tocorresponding bonding pads6 usingwire bonds20.
The passive components shown inFIG. 1 include resistor R1, and capacitors C1, C2, C3, and C4, also connected as shown in the circuit schematic ofFIG. 3. The passive components are shown bonded directly tocorresponding pads6. Significantly, capacitor C4 is mounted close toMOSFETs8 and10.
Referring toFIG. 2,MCM2 of the present invention is shown in elevation. A plurality ofsolder balls22 are arranged on the lower surface of substrate4. In the finished package, the components on the upper surface of substrate4 are encapsulated in amold compound24 such as Nitto HC 100. The dimension ofhousing2 is about 1 cm×1 cm so it will take very little space on a mother board.
Referring toFIG. 3, a circuit schematic ofpower supply MCM2 is shown.Power MOSFETs8 and10 are mounted in a half-bridge configuration, connected in series between an input voltage VINand ground PGND. External circuit capacitance CEXTis connected to VIN. A high-side output gate drive TG ofMOSFET gate driver12 is connected to agate input20 of high-side power MOSFET8. A low-side output gate drive BG ofMOSFET gate driver12 is connected to agate input22 of low-side power MOSFET10.Gate driver12 alternately switches the power MOSFETs to generate an alternating output voltage at a common output node SW NODE between the power MOSFETs.
Schottky diodes16 and18 are connected between common output node SW NODE and ground to minimize losses during dead time conduction periods. An input capacitor C4 is connected between the input voltage VINand ground PGND. The use of twoparallel diodes16 and18 helps in keeping a symmetrical layout of components. Anoutput inductor30 generally will be connected to the SW NODE and to the output voltage terminal VOUT. An output capacitor COUTis also in the output circuit.
A supply voltage VDDis provided toMOSFET gate driver12 on pin VCC. A bootstrap circuit, consisting of Schottkydiode14, and resistor R1/capacitor C2 connected between the bootstrap pin BST and the DRN pin, is provided to develop a floating bootstrap voltage for high-side MOSFET8.
A TTL-level input signal is provided on line DRV_IN to MOSFET driver pin CO. Operation of the device is enabled by providing a minimum of 2.0 volts on enable pin EN ofMOSFET driver12. Status pin PRDYindicates the status of the +5V supply voltage. When the supply voltage is less than 4.4V, this output is driven low. When the supply voltage is greater than 4.4V, this output is driven high. This output has a 10 mA source and 10 μA capability. When PRDYis low, undervoltage circuitry built intodriver12 guarantees that both driver outputs TG and BG are low.
Referring toFIG. 4, a timing diagram forMCM2 is shown. A turn on delay tD(ON)of typically 63 ns exists between the signal input DRV_IN and output SW NODE ofMCM2. A turn off delay tD(OFF)of typically 26 ns exists between the signal input DRV_IN and output SW NODE ofMCM2. A portion of the delay is inherent indriver12.
The supply voltage can range between 4.2 and 6.0 V. Input voltages of between 5 and 12 volts can be used, providing an output voltage range of 0.9-2.0 V. Output current is typically 15A. The device operates at frequencies from 300-1,000 kHz.
The operation of the circuit ofFIG. 3 is considerably enhanced by the inherently close spacing between input capacitor C4 andMOSFET10.
First, the removal of capacitor C4 from the mother board increases layout flexibility for the mother board.
Second, since the capacitor C4 is very close toMOSFETs8 and10, the stray inductance in the circuit is reduced in comparison to that which would be produced with C4 located outside the chip, on the mother board. This close location (about one centimeter or less) substantially reduces the “ring” in the circuit. More specifically, as shown inFIG. 3,MOSFET10 has a parasitic capacitance COSS. The circuit including the stray inductance L and COSStends to ring at its resonant frequency. By reducing L, the ring is also reduced.
A third benefit of capacitor C4 is that it clamps QRR(reverse recovery charge) ofMOSFET10 and keeps high di/dt from flowing out ofmodule2 and into the mother board. More specifically,FIG. 3A is an equivalent circuit of portions ofFIG. 3 showing in particular the body diode ofMOSFET10. During the dead time, during which bothMOSFETs8 and10 are off, conduction takes place throughSchottky diodes16 and18 ofFIG. 3, but some “residual” current also is conducted through the body diode ofMOSFET10. WhenMOSFET8 turns on while the body diode ofMOSFET10 is conducting, a reverse recovery current will be fed from the external capacitor CEXTwith very high di/dt. Capacitor C4, however, will act as a bypass to this high di/dt. The capacitor C4 ofFIG. 3 serves similar purposes.
Although the present invention has been described in relation to particular embodiments thereof, many other variations and modifications and other uses will become apparent to those skilled in the art.

Claims (13)

1. A multi-chip module (MCM) for providing power circuitry on a computer motherboard, comprising:
a ball grid array (BGA) substrate having a first surface and a second opposing surface;
two power MOSFETs disposed on the first surface of the BGA substrate and connected in a half-bridge arrangement between an input voltage and ground;
a MOSFET gate driver disposed on the first surface of the BGA substrate and electrically connected to respective gate inputs of the two power MOSFETs for alternatively switching the power MOSFETs to generate an alternating output voltage at a common output node between the power MOSFETs; and
at least one diode disposed on the first surface of the BGA substrate and connected between the common output node and ground to minimize losses during deadtime connection periods; and
an input capacitor disposed on the first surface of the BGA and connected between the input voltage and ground;
wherein the input capacitor is located adjacent to, and spaced less than 1 cm from the first and second MOSFETs, and wherein the input capacitor and the first and second MOSFETs are positioned side-by-side.
5. A multichip module comprising:
a substrate having a first surface and an opposing second surface;
a power input connection;
a ground connection;
two power switching devices disposed on said first surface of said substrate and connected in series according to a half-bridge arrangement between said power input connection and said ground connection, a terminal of one of said two power switching devices directly connected to said power input connection and a terminal of another of said two power switching devices directly connected to said ground connection; and
an input capacitor connected between said power input connection and said ground connection, wherein said input capacitor is disposed on said first surface of said substrate and spaced no more than one centimeter from said two either power switching devices device, and wherein said input capacitor and said power switching devices are positioned side-by-side.
US11/787,2342000-03-222007-04-12Gate driver multi-chip moduleExpired - LifetimeUSRE42658E1 (en)

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US11/787,234USRE42658E1 (en)2000-03-222007-04-12Gate driver multi-chip module

Applications Claiming Priority (4)

Application NumberPriority DateFiling DateTitle
US19112500P2000-03-222000-03-22
US09/813,011US20020021560A1 (en)2000-03-222001-03-21Gate driver multi-chip module
US10/252,988US6879491B2 (en)2000-03-222002-09-23Gate driver multi-chip module
US11/787,234USRE42658E1 (en)2000-03-222007-04-12Gate driver multi-chip module

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US10/252,988ReissueUS6879491B2 (en)2000-03-222002-09-23Gate driver multi-chip module

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USRE42658E1true USRE42658E1 (en)2011-08-30

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US09/813,011AbandonedUS20020021560A1 (en)2000-03-222001-03-21Gate driver multi-chip module
US10/252,988CeasedUS6879491B2 (en)2000-03-222002-09-23Gate driver multi-chip module
US11/787,234Expired - LifetimeUSRE42658E1 (en)2000-03-222007-04-12Gate driver multi-chip module

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US09/813,011AbandonedUS20020021560A1 (en)2000-03-222001-03-21Gate driver multi-chip module
US10/252,988CeasedUS6879491B2 (en)2000-03-222002-09-23Gate driver multi-chip module

Country Status (6)

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US (3)US20020021560A1 (en)
JP (1)JP3943395B2 (en)
CN (1)CN1284421C (en)
AU (1)AU2001247631A1 (en)
TW (1)TWI250406B (en)
WO (1)WO2001072092A1 (en)

Families Citing this family (35)

* Cited by examiner, † Cited by third party
Publication numberPriority datePublication dateAssigneeTitle
US7247932B1 (en)2000-05-192007-07-24Megica CorporationChip package with capacitor
GB0128351D0 (en)*2001-11-272002-01-16Koninkl Philips Electronics NvMulti-chip module semiconductor devices
US6940724B2 (en)*2003-04-242005-09-06Power-One LimitedDC-DC converter implemented in a land grid array package
JP4489485B2 (en)*2004-03-312010-06-23株式会社ルネサステクノロジ Semiconductor device
US7274243B2 (en)*2004-04-262007-09-25Gary PaceAdaptive gate drive for switching devices of inverter
JP4591886B2 (en)*2004-07-212010-12-01ローム株式会社 Power supply circuit device using semiconductor device
JP2006049341A (en)*2004-07-302006-02-16Renesas Technology Corp Semiconductor device and manufacturing method thereof
JP2006073655A (en)*2004-08-312006-03-16Toshiba Corp Semiconductor module
JP4426955B2 (en)2004-11-302010-03-03株式会社ルネサステクノロジ Semiconductor device
US7504733B2 (en)2005-08-172009-03-17Ciclon Semiconductor Device Corp.Semiconductor die package
US7560808B2 (en)*2005-10-192009-07-14Texas Instruments IncorporatedChip scale power LDMOS device
JP4875380B2 (en)2006-02-242012-02-15ルネサスエレクトロニクス株式会社 Semiconductor device
US7446375B2 (en)*2006-03-142008-11-04Ciclon Semiconductor Device Corp.Quasi-vertical LDMOS device having closed cell layout
US7768075B2 (en)*2006-04-062010-08-03Fairchild Semiconductor CorporationSemiconductor die packages using thin dies and metal substrates
US7710702B2 (en)*2006-05-182010-05-04Global Power Technologies, Inc.Primary side control module and method for protection of MOSFET against burnout
TW200812066A (en)2006-05-302008-03-01Renesas Tech CorpSemiconductor device and power source unit using the same
US20080036078A1 (en)*2006-08-142008-02-14Ciclon Semiconductor Device Corp.Wirebond-less semiconductor package
US20090085552A1 (en)*2007-09-292009-04-02Olivier FranzaPower management using dynamic embedded power gate domains
DE102008049231A1 (en)*2008-09-272010-04-01Bayerische Motoren Werke Aktiengesellschaft Circuit and method for its production
US8049312B2 (en)*2009-01-122011-11-01Texas Instruments IncorporatedSemiconductor device package and method of assembly thereof
EP2453476A1 (en)*2010-11-122012-05-16Nxp B.V.Semiconductor device packaging method and semiconductor device package
US9209766B1 (en)2012-09-112015-12-08Sandia CorporationHigh temperature charge amplifier for geothermal applications
US20160149380A1 (en)*2014-11-202016-05-26Hamilton Sundstrand CorporationPower control assembly with vertically mounted power devices
EP3065172B1 (en)2015-03-062024-12-04Nexperia B.V.Semiconductor device
US10256168B2 (en)2016-06-122019-04-09Nexperia B.V.Semiconductor device and lead frame therefor
CN108847770B (en)*2018-05-212020-09-04威创集团股份有限公司Dual-voltage output mainboard
JP2019213399A (en)*2018-06-072019-12-12株式会社村田製作所Power module
WO2020012796A1 (en)*2018-07-102020-01-16アイシン・エィ・ダブリュ株式会社Circuit module and power supply chip module
US11915987B2 (en)*2019-03-052024-02-27Aisin CorporationSemiconductor device
US10784854B1 (en)2019-09-122020-09-22Inno-Tech Co., Ltd.Power control device
CN110752192B (en)*2019-10-122021-05-14安徽鸿创新能源动力有限公司Motor controller drive circuit structure
JP6954413B1 (en)2020-06-292021-10-27ダイキン工業株式会社 Inverter device
EP4250347A1 (en)2022-03-242023-09-27Infineon Technologies Austria AGSemiconductor device and method of fabricating a semiconductor device
EP4250359A1 (en)2022-03-242023-09-27Infineon Technologies Austria AGSemiconductor device and method of fabricating a semiconductor device
EP4432348A1 (en)*2023-03-142024-09-18Infineon Technologies Austria AGPower semiconductor package comprising a passive electronic component and method for fabricating the same

Citations (14)

* Cited by examiner, † Cited by third party
Publication numberPriority datePublication dateAssigneeTitle
US4967332A (en)1990-02-261990-10-30General Electric CompanyHVIC primary side power supply controller including full-bridge/half-bridge driver
US5331253A (en)*1992-08-241994-07-19Usi Lighting, Inc.Electronic ballast for gaseous discharge lamp operation
US5384691A (en)*1993-01-081995-01-24General Electric CompanyHigh density interconnect multi-chip modules including embedded distributed power supply elements
JPH08130282A (en)1994-10-311996-05-21Fuji Electric Co Ltd Semiconductor device
US5629563A (en)1994-08-251997-05-13National Semiconductor CorporationComponent stacking in multi-chip semiconductor packages
US5642262A (en)1995-02-231997-06-24Altera CorporationHigh-density programmable logic device in a multi-chip module package with improved interconnect scheme
US5747982A (en)1996-12-051998-05-05Lucent Technologies Inc.Multi-chip modules with isolated coupling between modules
US5818669A (en)*1996-07-301998-10-06Micro Linear CorporationZener diode power dissipation limiting circuit
JPH1167947A (en)1997-08-201999-03-09Sony CorpSurface mounting method of hybrid integrated circuit device, hybrid integrated circuit device and hybrid integrated circuit device package
US6002213A (en)*1995-10-051999-12-14International Rectifier CorporationMOS gate driver circuit with analog input and variable dead time band
US6031338A (en)1997-03-172000-02-29Lumatronix Manufacturing, Inc.Ballast method and apparatus and coupling therefor
US6058012A (en)1996-08-262000-05-02Compaq Computer CorporationApparatus, method and system for thermal management of an electronic system having semiconductor devices
US6137167A (en)*1998-11-242000-10-24Micron Technology, Inc.Multichip module with built in repeaters and method
US20020163322A1 (en)*2000-02-082002-11-07Vlt Corporation, A Texas CorporationActive rectifier

Patent Citations (15)

* Cited by examiner, † Cited by third party
Publication numberPriority datePublication dateAssigneeTitle
US4967332A (en)1990-02-261990-10-30General Electric CompanyHVIC primary side power supply controller including full-bridge/half-bridge driver
US5331253A (en)*1992-08-241994-07-19Usi Lighting, Inc.Electronic ballast for gaseous discharge lamp operation
US5384691A (en)*1993-01-081995-01-24General Electric CompanyHigh density interconnect multi-chip modules including embedded distributed power supply elements
US5629563A (en)1994-08-251997-05-13National Semiconductor CorporationComponent stacking in multi-chip semiconductor packages
JPH08130282A (en)1994-10-311996-05-21Fuji Electric Co Ltd Semiconductor device
US5642262A (en)1995-02-231997-06-24Altera CorporationHigh-density programmable logic device in a multi-chip module package with improved interconnect scheme
US6002213A (en)*1995-10-051999-12-14International Rectifier CorporationMOS gate driver circuit with analog input and variable dead time band
US5818669A (en)*1996-07-301998-10-06Micro Linear CorporationZener diode power dissipation limiting circuit
US6058012A (en)1996-08-262000-05-02Compaq Computer CorporationApparatus, method and system for thermal management of an electronic system having semiconductor devices
US5747982A (en)1996-12-051998-05-05Lucent Technologies Inc.Multi-chip modules with isolated coupling between modules
US6031338A (en)1997-03-172000-02-29Lumatronix Manufacturing, Inc.Ballast method and apparatus and coupling therefor
JPH1167947A (en)1997-08-201999-03-09Sony CorpSurface mounting method of hybrid integrated circuit device, hybrid integrated circuit device and hybrid integrated circuit device package
US6137167A (en)*1998-11-242000-10-24Micron Technology, Inc.Multichip module with built in repeaters and method
US20020163322A1 (en)*2000-02-082002-11-07Vlt Corporation, A Texas CorporationActive rectifier
US7015561B2 (en)*2000-02-082006-03-21Vlt, Inc.Active rectifier

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WO2001072092A1 (en)2001-09-27
JP3943395B2 (en)2007-07-11
JP2003528449A (en)2003-09-24
US6879491B2 (en)2005-04-12
AU2001247631A1 (en)2001-10-03
US20030016505A1 (en)2003-01-23
TWI250406B (en)2006-03-01
CN1419798A (en)2003-05-21
US20020021560A1 (en)2002-02-21
CN1284421C (en)2006-11-08

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