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Chapter 3 Design and Analysis of Proposed SIMO DC-DC Converter

3.2 Current Sensor and Charge Reservation Circuits

Fig. 36. The current sensor of [2 and 3] is composed by a fully symmetrical matching structure.

The current sensor shown in Fig. 36 [2 and 3] has a proportional register RS which is N times of the sensing resistor RSEN. The current sensor is composed by a fully symmetrical matching structure. Sufficient accuracy and high bandwidth is used to follow output current variations. To achieve the LDPCC technique, the current sensor cannot be turned off during the whole switching cycle. Thus, the freewheeling power MOSFET as illustrated in Fig. 36 is connected between the input power source VIN and the node VX at the expense of power

conversion efficiency during the freewheeling stage. The current sensor is realized by the matched PMOS transistors MA2 and MB2 which are used to enforce the same voltage at node Vx and node Vy. The PMOS transistors MA2 and MB2 are biased in the saturation region. Two small and equal biasing current force the PMOS transistors MA2 and MB2 to have the same threshold voltage. Self-bias loop is composed by transistors MA4, MA3, MA1, and MB1. Sensing current is generated via transistor MB4. The simulation result of current sensor is shown in Fig.

37 and a test pattern of inductor current (IL) is given by piecewise-linear (PWL) waveform in HSPICE simulation tool. The sensing signal converts the current scale (Isense) into voltage scale (VRS) for detecting LDPCC level VIpeak. The mirrored current signal (Isense) is used to charge the indicative capacitors CIK1~CIKn and CIT1~CITm of charge reservation circuit which is shown in Fig. 38.

Fig. 37. The simulation result of current sensor.

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Fig. 38. The proposed charge reservation circuits and charge monitor circuit for reducing output ripple.

The architecture of the charge reservation circuit is shown in Fig. 38. The sensing current (Isense) is converted to the voltage VRS, which is used to compare with the LDPCC level VIpeak as illustrated in Fig. 33. The sensing current (Isense) is also used to determine the individual

duty cycle of each buck or boost output terminal. Thus, there are n and m charge monitoring circuits in the charge reservation circuit. The indicative capacitors CIK1~CIKn and CIT1~CITm are used to monitor the buck and boost output voltages, respectively. The charge monitor circuit in the sub-block is also shown in Fig. 38. When the voltage of driving signal VSW is set to low, sensing current (Isense) flows into indicative capacitor CI to indicate the energy delivering condition of one of buck or boost output voltage. Once the voltage of driving signal VSW is changed from low to high state, the discharging current (Iin), which comes from the LDPCC circuit, starts to discharge indicative capacitor CI. Thus, the voltage ripples ΔVIK1~ΔVIKn and ΔVIT1~ΔVITm on indicative capacitors CIK1~CIKn and CIT1~CITm can monitor the status of the buck and boost output voltages. As a result, the duty cycle can be determined by the voltage VI on indicative capacitor CI and the output voltage VEKi (or VETj) of error amplifier array after the operation of comparator array in Fig. 33.

Assume that the value of voltage ripples ΔVIKi and ΔVITj is kKi and kTj times that of output ripples ΔVOKi and ΔVOTj for the buck output terminal i and boost output terminal j, where the suffix i is 1 to n for buck output terminals and the suffix j is 1 to m for boost output terminals.

The buck and boost output ripples ΔVOKi and ΔVOTj express as (20) by voltage ripples ΔVIKi and ΔVITj on the indicative capacitors CIKi and CITj in charge reservation circuit.

IKi

The value of voltage ripples ΔVIKi and ΔVITj are set within the input common-mode range of the comparator array in Fig. 33. Besides, the value of inductor current (IL) is N times that of sensing current (Isense), which is the sensing current for buck and boost output terminals. Thus, the values of indicative capacitors CIKi and CITj in the charge reservation circuit are given by (21) and (22), respectively.

OTj RT1~RTm in the V-I converters must depend on output load condition. As a result, the charge reservation circuit in the SIMO DC-DC converter can accurately discharge storage charge in indicative capacitors CIK1~CIKn and CIT1~CITm. The discharging current sources IEKi and IETj operational trans-conductance amplifier (OTA) can be express as (24) by adopting equation (21).

where G and βKi are the trans-conductance of error amplifier and the ratio of voltage divider, respectively. Then, as shown in (25), the discharging current source IEKi is equal to that the error signal VEKi is divided by internal resistor RKi.

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Differentiating both sides of (25) by the inductor current (IL) and setting the value equal to one, (26) is derived to get a discharging current source IEKi that is proportional to output load current. Consequently, (27) defines the value of resistor RKi in charge reservation circuit

for buck output terminals.

Similarly, the value of resistor RTj for boost output terminals can be expressed as (28).

ITj ensure that discharging current sources IEKi and IETj in LDPCC circuit are proportional to load current condition of buck and boost output terminals. The discharging current sources IEKi and IETj are expressed as equation (29) and (30) for buck and boost output terminals, respectively.

Ki reservation circuit can accurately decide the duty cycle of the buck or boost output terminals.

The simulation result of charge reservation circuit is shown in Fig. 39. The output signals VEKi and VETj of error amplifier array indicate the output voltage deviation. Since the indicative capacitors CIKi and CITi are charged and discharged by sensing current Isense and LDPCC circuit sources IEKi and IETj, the voltages VIKi and VITj on indicative capacitors act sensing ripple of output terminals and compare with the output signals VEKi and VEKj of error amplifier array for detecting operation duty cycle of each output terminal.

Fig. 39. The simulation result of the proposed charge reservation circuit.

3.3 Logic Control Circuit with Automatic Mode