A Differential Switched-Capacitor Amplifier with Programmable Gain
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Run Capacitor Info-98582
Run Cap Quiz-98582_Layout 1 4/16/15 10:26 AM Page 1 ® Run Capacitor Info WHAT IS A CAPACITOR? Very simply, a capacitor is a device that stores and discharges electrons. While you may hear capacitors referred to by a variety of names (condenser, run, start, oil, etc.) all capacitors are comprised of two or more metallic plates separated by an insulating material called a dielectric. PLATE 1 PLATE 2 A very simple capacitor can be made with two plates separated by a dielectric, in this PLATE 1 PLATE 2 case air, and connected to a source of DC current, a battery. Electrons will flow away from plate 1 and collect on plate 2, leaving it with an abundance of electrons, or a “charge”. Since current from a battery only flows one way, the capacitor plate will stay BATTERY + – charged this way unless something causes current flow. If we were to short across the plates with a screwdriver, the resulting spark would indicate the electrons “jumping” from plate 2 to plate 1 in an attempt to equalize. As soon as the screwdriver is removed, plate 2 will again collect a PLATE 1 PLATE 2 charge. + BATTERY – Now let’s connect our simple capacitor to a source of AC current and in series with the windings of an electric motor. Since AC current alternates, first one PLATE 1 PLATE 2 MOTOR plate, then the other would be charged and discharged in turn. First plate 1 is charged, then as the current reverses, a rush of electrons flow from plate 1 to plate 2 through the motor windings. -
Chapter 7: AC Transistor Amplifiers
Chapter 7: Transistors, part 2 Chapter 7: AC Transistor Amplifiers The transistor amplifiers that we studied in the last chapter have some serious problems for use in AC signals. Their most serious shortcoming is that there is a “dead region” where small signals do not turn on the transistor. So, if your signal is smaller than 0.6 V, or if it is negative, the transistor does not conduct and the amplifier does not work. Design goals for an AC amplifier Before moving on to making a better AC amplifier, let’s define some useful terms. We define the output range to be the range of possible output voltages. We refer to the maximum and minimum output voltages as the rail voltages and the output swing is the difference between the rail voltages. The input range is the range of input voltages that produce outputs which are not at either rail voltage. Our goal in designing an AC amplifier is to get an input range and output range which is symmetric around zero and ensure that there is not a dead region. To do this we need make sure that the transistor is in conduction for all of our input range. How does this work? We do it by adding an offset voltage to the input to make sure the voltage presented to the transistor’s base with no input signal, the resting or quiescent voltage , is well above ground. In lab 6, the function generator provided the offset, in this chapter we will show how to design an amplifier which provides its own offset. -
Switched-Capacitor Circuits
Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto ([email protected]) ([email protected]) University of Toronto 1 of 60 © D. Johns, K. Martin, 1997 Basic Building Blocks Opamps • Ideal opamps usually assumed. • Important non-idealities — dc gain: sets the accuracy of charge transfer, hence, transfer-function accuracy. — unity-gain freq, phase margin & slew-rate: sets the max clocking frequency. A general rule is that unity-gain freq should be 5 times (or more) higher than the clock-freq. — dc offset: Can create dc offset at output. Circuit techniques to combat this which also reduce 1/f noise. University of Toronto 2 of 60 © D. Johns, K. Martin, 1997 Basic Building Blocks Double-Poly Capacitors metal C1 metal poly1 Cp1 thin oxide bottom plate C1 poly2 Cp2 thick oxide C p1 Cp2 (substrate - ac ground) cross-section view equivalent circuit • Substantial parasitics with large bottom plate capacitance (20 percent of C1) • Also, metal-metal capacitors are used but have even larger parasitic capacitances. University of Toronto 3 of 60 © D. Johns, K. Martin, 1997 Basic Building Blocks Switches I I Symbol n-channel v1 v2 v1 v2 I transmission I I gate v1 v p-channel v 2 1 v2 I • Mosfet switches are good switches. — off-resistance near G: range — on-resistance in 100: to 5k: range (depends on transistor sizing) • However, have non-linear parasitic capacitances. University of Toronto 4 of 60 © D. Johns, K. Martin, 1997 Basic Building Blocks Non-Overlapping Clocks I1 T Von I I1 Voff n – 2 n – 1 n n + 1 tTe delay 1 I fs { --- delay V 2 T on I Voff 2 n – 32e n – 12e n + 12e tTe • Non-overlapping clocks — both clocks are never on at same time • Needed to ensure charge is not inadvertently lost. -
Switched Capacitor Concepts & Circuits
Switched Capacitor Concepts & Circuits Outline • Why Switched Capacitor circuits? – Historical Perspective – Basic Building Blocks • Switched Capacitors as Resistors • Switched Capacitor Integrators – Discrete time & charge transfer concepts – Parasitic insensitive circuits • Signal Flow Graphs • Switched Capacitor Filters – Comparison to Active RC filters – Advantages of Fully Differential filters • Switched Capacitor Gain Circuits • Reducing the Effects of Charge Injection • Tradeoff between Speed and Charge Injection Why Switched Capacitor Circuits? • Historical Perspective – As MOS processes came to the forefront in the late 1970s and early 1980s, the advantages of integrating analog blocks such as active filters on the same chip with digital logic became a driving force for inovation. – Integrating active filters using resistors and capacitors to acturately set time constants has always been difficult, because of large process variations (> +/- 30%) and the fact that resistors and capacitors don’t naturally match each other. – So, analog engineers turned to the building blocks native to MOS processes to build their circuits, switches & capacitors. Since time constants can be set by the ratio of capacitors, very accurate filter responses became possible using switched capacitor techniques Æ Mixed-Signal Design was born! Switched Capacitor Building Blocks • Capacitors: poly-poly, MiM, metal sandwich & finger caps • Switches: NMOS, PMOS, T-gate • Op Amps: at first all NMOS designs, now CMOS Non-Overlapping Clocks • Non-overlapping clocks are used to insure that one set of switches turns off before the next set turns on, so that charge only flows where intended. (“break before make”) • Note the notation used to indicate time based on clock periods: ... (n-1)T, (n-½)T, nT, (n+½)T, (n+1)T .. -
Power Electronics
Diodes and Transistors Semiconductors • Semiconductor devices are made of alternating layers of positively doped material (P) and negatively doped material (N). • Diodes are PN or NP, BJTs are PNP or NPN, IGBTs are PNPN. Other devices are more complex Diodes • A diode is a device which allows flow in one direction but not the other. • When conducting, the diodes create a voltage drop, kind of acting like a resistor • There are three main types of power diodes – Power Diode – Fast recovery diode – Schottky Diodes Power Diodes • Max properties: 1500V, 400A, 1kHz • Forward voltage drop of 0.7 V when on Diode circuit voltage measurements: (a) Forward biased. (b) Reverse biased. Fast Recovery Diodes • Max properties: similar to regular power diodes but recover time as low as 50ns • The following is a graph of a diode’s recovery time. trr is shorter for fast recovery diodes Schottky Diodes • Max properties: 400V, 400A • Very fast recovery time • Lower voltage drop when conducting than regular diodes • Ideal for high current low voltage applications Current vs Voltage Characteristics • All diodes have two main weaknesses – Leakage current when the diode is off. This is power loss – Voltage drop when the diode is conducting. This is directly converted to heat, i.e. power loss • Other problems to watch for: – Notice the reverse current in the recovery time graph. This can be limited through certain circuits. Ways Around Maximum Properties • To overcome maximum voltage, we can use the diodes in series. Here is a voltage sharing circuit • To overcome maximum current, we can use the diodes in parallel. -
Kirchhoff's Laws in Dynamic Circuits
Kirchhoff’s Laws in Dynamic Circuits Dynamic circuits are circuits that contain capacitors and inductors. Later we will learn to analyze some dynamic circuits by writing and solving differential equations. In these notes, we consider some simpler examples that can be solved using only Kirchhoff’s laws and the element equations of the capacitor and the inductor. Example 1: Consider this circuit Additionally, we are given the following representations of the voltage source voltage and one of the resistor voltages: ⎧⎧10 V fortt<< 0 2 V for 0 vvs ==⎨⎨and 1 −5t ⎩⎩20 V forte>+ 0 8 4 V fort> 0 We wish to express the capacitor current, i 2 , as a function of time, t. Plan: First, apply Kirchhoff’s voltage law (KVL) to the loop consisting of the source, resistor R1 and the capacitor to determine the capacitor voltage, v 2 , as a function of time, t. Next, use the element equation of the capacitor to determine the capacitor current as a function of time, t. Solution: Apply Kirchhoff’s voltage law (KVL) to the loop consisting of the source, resistor R1 and the capacitor to write ⎧ 8 V fort < 0 vvv12+−=ss0 ⇒ v2 =−= vv 1⎨ −5t ⎩16− 8et V for> 0 Use the element equation of the capacitor to write ⎧ 0 A fort < 0 dv22 dv ⎪ ⎧ 0 A fort < 0 iC2 ==0.025 =⎨⎨d −5t =−5t dt dt ⎪0.025() 16−> 8et for 0 ⎩1et A for> 0 ⎩ dt 1 Example 2: Consider this circuit where the resistor currents are given by ⎧⎧0.8 A fortt<< 0 0 A for 0 ii13==⎨⎨−−22ttand ⎩⎩0.8et−> 0.8 A for 0 −0.8 e A fort> 0 Express the inductor voltage, v 2 , as a function of time, t. -
Switched Capacitor Instrumentation Amplifier
LTC1043 Dual Precision Instrumentation Switched Capacitor Building Block FEATURES DESCRIPTIO U ■ Instrumentation Front End with 120dB CMRR The LTC®1043 is a monolithic, charge-balanced, dual ■ Precise, Charge-Balanced Switching switched capacitor instrumentation building block. A pair ■ Operates from 3V to 18V of switches alternately connects an external capacitor to ■ Internal or External Clock an input voltage and then connects the charged capacitor ■ Operates up to 5MHz Clock Rate across an output port. The internal switches have a ■ Low Power break-before-make action. An internal clock is provided ■ Two Independent Sections with One Clock and its frequency can be adjusted with an external capacitor. The LTC1043 can also be driven with an external APPLICATIOU S CMOS clock. The LTC1043, when used with low clock frequencies, ■ Precision Instrumentation Amplifiers provides ultra precision DC functions without requiring ■ Ultra Precision Voltage Inverters, Multipliers precise external components. Such functions are and Dividers differential voltage to single-ended conversion, voltage ■ V–F and F–V Converters inversion, voltage multiplication and division by 2, 3, 4, 5, ■ Sample-and-Hold etc. The LTC1043 can also be used for precise V–F and ■ Switched Capacitor Filters F–V circuits without trimming, and it is also a building block for switched capacitor filters, oscillators and modulators. The LTC1043 is manufactured using Linear Technology’s enhanced LTCMOSTM silicon gate process. , LTC and LT are registered trademarks of Linear Technology -
Capacitive Voltage Transformers: Transient Overreach Concerns and Solutions for Distance Relaying
Capacitive Voltage Transformers: Transient Overreach Concerns and Solutions for Distance Relaying Daqing Hou and Jeff Roberts Schweitzer Engineering Laboratories, Inc. Revised edition released October 2010 Previously presented at the 1996 Canadian Conference on Electrical and Computer Engineering, May 1996, 50th Annual Georgia Tech Protective Relaying Conference, May 1996, and 49th Annual Conference for Protective Relay Engineers, April 1996 Previous revised edition released July 2000 Originally presented at the 22nd Annual Western Protective Relay Conference, October 1995 CAPACITIVE VOLTAGE TRANSFORMERS: TRANSIENT OVERREACH CONCERNS AND SOLUTIONS FOR DISTANCE RELAYING Daqing Hou and Jeff Roberts Schweitzer Engineering Laboratories, Inc. Pullman, W A USA ABSTRACT Capacitive Voltage Transformers (CVTs) are common in high-voltage transmission line applications. These same applications require fast, yet secure protection. However, as the requirement for faster protective relays grows, so does the concern over the poor transient response of some CVTs for certain system conditions. Solid-state and microprocessor relays can respond to a CVT transient due to their high operating speed and iflCreased sensitivity .This paper discusses CVT models whose purpose is to identify which major CVT components contribute to the CVT transient. Some surprises include a recom- mendation for CVT burden and the type offerroresonant-suppression circuit that gives the least CVT transient. This paper also reviews how the System Impedance Ratio (SIR) affects the CVT transient response. The higher the SIR, the worse the CVT transient for a given CVT . Finally, this paper discusses improvements in relaying logic. The new method of detecting CVT transients is more precise than past detection methods and does not penalize distance protection speed for close-in faults. -
Switched-Capacitor Integrator
EE247 Lecture 10 • Switched-capacitor filters (continued) – Switched-capacitor integrators • DDI & LDI integrators – Effect of parasitic capacitance – Bottom-plate integrator topology – Switched-capacitor resonators – Bandpass filters – Lowpass filters – Switched-capacitor filter design considerations • Termination implementation • Transmission zero implementation • Limitations imposed by non-idealities EECS 247 Lecture 10 Switched-Capacitor Filters © 2008 H. K. Page 1 Switched-Capacitor Integrator C φ φ I φ 1 2 1 Vin - φ 2 Cs Vo + T=1/fs C C φ I φ I 1 2 Vin Vin - - C C s s Vo Vo + + φ High φ 1 2 High Æ C Charged to Vin s ÆCharge transferred from Cs to CI EECS 247 Lecture 10 Switched-Capacitor Filters © 2008 H. K. Page 2 Switched-Capacitor Integrator Output Sampled on φ1 φ φ 1 2 Vin CI φ - 1 Cs Vo Vo1 + φ φ φ φ φ Clock 1 2 1 2 1 Vin VCs Vo Vo1 EECS 247 Lecture 10 Switched-Capacitor Filters © 2008 H. K. Page 3 Switched-Capacitor Integrator ( (n-1)T n-3/2)Ts s (n-1/2)Ts nTs (n+1/2)Ts (n+1)Ts φ φ φ φ φ Clock 1 2 1 2 1 Vin Vs Vo Vo1 Φ 1 Æ Qs [(n-1)Ts]= Cs Vi [(n-1)Ts] , QI [(n-1)Ts] = QI [(n-3/2)Ts] Φ 2 Æ Qs [(n-1/2) Ts] = 0 , QI [(n-1/2) Ts] = QI [(n-1) Ts] + Qs [(n-1) Ts] Φ 1 _Æ Qs [nTs ] = Cs Vi [nTs ] , QI [nTs ] = QI[(n-1) Ts ] + Qs [(n-1) Ts] Since Vo1= - QI /CI & Vi = Qs / Cs Æ CI Vo1(nTs) = CI Vo1 [(n-1) Ts ] -Cs Vi [(n-1) Ts ] EECS 247 Lecture 10 Switched-Capacitor Filters © 2008 H. -
Notes for Lab 1 (Bipolar (Junction) Transistor Lab)
ECE 327: Electronic Devices and Circuits Laboratory I Notes for Lab 1 (Bipolar (Junction) Transistor Lab) 1. Introduce bipolar junction transistors • “Transistor man” (from The Art of Electronics (2nd edition) by Horowitz and Hill) – Transistors are not “switches” – Base–emitter diode current sets collector–emitter resistance – Transistors are “dynamic resistors” (i.e., “transfer resistor”) – Act like closed switch in “saturation” mode – Act like open switch in “cutoff” mode – Act like current amplifier in “active” mode • Active-mode BJT model – Collector resistance is dynamically set so that collector current is β times base current – β is assumed to be very high (β ≈ 100–200 in this laboratory) – Under most conditions, base current is negligible, so collector and emitter current are equal – β ≈ hfe ≈ hFE – Good designs only depend on β being large – The active-mode model: ∗ Assumptions: · Must have vEC > 0.2 V (otherwise, in saturation) · Must have very low input impedance compared to βRE ∗ Consequences: · iB ≈ 0 · vE = vB ± 0.7 V · iC ≈ iE – Typically, use base and emitter voltages to find emitter current. Finish analysis by setting collector current equal to emitter current. • Symbols – Arrow represents base–emitter diode (i.e., emitter always has arrow) – npn transistor: Base–emitter diode is “not pointing in” – pnp transistor: Emitter–base diode “points in proudly” – See part pin-outs for easy wiring key • “Common” configurations: hold one terminal constant, vary a second, and use the third as output – common-collector ties collector -
Practical Issues Designing Switched-Capacitor Circuit
Practical Issues Designing Switched-Capacitor Circuit ECEN 622 (ESS) Fall 2011 Practical Issues Designing Switched-Capacitor Circuit Material partially prepared by Sang Wook Park and Shouli Yan ELEN 622 Fall 2011 1 / 27 Switched-Capacitor practical issues Practical Issues Designing Switched-Capacitor Circuit MOS switch G G S Cov Cox Cov D S D Ron o Excellent Roff o Non-idea Effect Charge injection, Clock feed-through Finite and nonlinear Ron ELEN 622 Fall 2011 2 / 27 Switched-Capacitor practical issues Practical Issues Designing Switched-Capacitor Circuit Charge Injection G Qch1 Qch2 C VS o During TR. is turned on, Qch is formed at channel surface Qch = WLC OX (VGS −Vth ) When TR. is off, Qch1 is absorbed by Vs, but Qch2 is injected to C o Charge injected through overlap capacitor o Appeared as an offset voltage error on C ELEN 622 Fall 2011 3 / 27 Switched-Capacitor practical issues Practical Issues Designing Switched-Capacitor Circuit Charge Injection Effect CLK Ideal sw. Vout MOS sw. 0.1pF 1V CLK o When clock changes from high to low, Qch2 is injected to C o Compared to ideal sw., MOS sw. creates voltage error on Vout ELEN 622 Fall 2011 4 / 27 Switched-Capacitor practical issues Practical Issues Designing Switched-Capacitor Circuit Decrease Charge Injection Effect (1) CLK Vout W/L = 1/0.4 0.1pF 1V W/L = 10/0.4 o Decrease the effect of Qch o Use either bigger C or small TR. (small ratio of Cox/C) o Increased Ron ELEN 622 Fall 2011 5 / 27 Switched-Capacitor practical issues Practical Issues Designing Switched-Capacitor Circuit Decrease Charge Injection Effect (2) CLK CLKb 10/0.4 3.1/0.4 Vout With dummy sw. -
ECE 255, MOSFET Basic Configurations
ECE 255, MOSFET Basic Configurations 8 March 2018 In this lecture, we will go back to Section 7.3, and the basic configurations of MOSFET amplifiers will be studied similar to that of BJT. Previously, it has been shown that with the transistor DC biased at the appropriate point (Q point or operating point), linear relations can be derived between the small voltage signal and current signal. We will continue this analysis with MOSFETs, starting with the common-source amplifier. 1 Common-Source (CS) Amplifier The common-source (CS) amplifier for MOSFET is the analogue of the common- emitter amplifier for BJT. Its popularity arises from its high gain, and that by cascading a number of them, larger amplification of the signal can be achieved. 1.1 Chararacteristic Parameters of the CS Amplifier Figure 1(a) shows the small-signal model for the common-source amplifier. Here, RD is considered part of the amplifier and is the resistance that one measures between the drain and the ground. The small-signal model can be replaced by its hybrid-π model as shown in Figure 1(b). Then the current induced in the output port is i = −gmvgs as indicated by the current source. Thus vo = −gmvgsRD (1.1) By inspection, one sees that Rin = 1; vi = vsig; vgs = vi (1.2) Thus the open-circuit voltage gain is vo Avo = = −gmRD (1.3) vi Printed on March 14, 2018 at 10 : 48: W.C. Chew and S.K. Gupta. 1 One can replace a linear circuit driven by a source by its Th´evenin equivalence.