Vibration Energy Harvesting: Linear, Nonlinear, and Rotational Approaches
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Impedance Analysis and Optimization of SelfPowered Interface Circuit for Wireless Sensor Nodes Application
Abstract
Energy harvesting for selfpowered wireless sensor networks (WSNs) is increasingly needed. In this paper, a selfpowered WSN node scenario is proposed and realized by coupling the electric charge extraction interface circuit, power management module, and wireless communication module. Firstly, the output power of an optimized selfpowered energy extraction circuit is compared with different energy extraction circuits under various loads and excitation amplitudes theoretically. Then, an energyharvesting setup is established to validate the loadcarrying capacity and working condition of the selfpowered optimized synchronized switch harvesting on inductor (SPOSSHI) circuit. It gives guidance to select and estimate the appropriate energyconsuming level for the sensor and modules. Finally, by connecting the energyharvesting system, power management element, and sensing part together, a selfpowered wireless sensor node is accomplished. Under 18 Hz resonant excitation, the whole selfpowered system transmits 32 bytes of data every 30 seconds including the acceleration and environment temperature. This prototype strongly proves the feasibility of the selfpowered WSN node. These research results have potential to be used in different application fields.
1. Introduction
With the continuous advancement in integrated circuit, microelectronics, lowpower sensors, and wireless communications technology, the emergence and development of wireless sensor networks (WSNs) have been given more attention and been widely used [1, 2]. For example, Sarkar and Misrab [3] proposed that a miniature wireless sensor could be implanted into a human body to detect blood glucose concentration, pH value, and oxygen content and identify cancer cells, etc. Winkler et al. [4] used wireless sensor networks to disseminate a large number of sensing nodes around important targets such as temporary command posts. By deploying them in advance, once the enemies entered the detection range of the sensing node, the WSNs could detect their position, movement speed, and other information. As an important part of wireless sensor networks, wireless sensor nodes are widely distributed. If batteries are used as the power supply, their lifespan and replacement cost in harsh environments would be a serious problem [5–8]. In addition, in many applications, due to the location of the device (e.g., aerospace), battery replacement is cumbersome or impose unnecessary risks (e.g., implantable biomedical devices such as pacemakers) [9]. Therefore, wireless sensor network nodes need an independent, longlasting, maintenancefree selfpowered power supply. Energyharvesting technology can convert environmental energy (such as light energy, heat energy, mechanical energy, electromagnetic energy, biochemical energy, and wind energy) into electrical energy and provide power for microelectromechanical devices [10, 11]. Sensors based on MEMS technology consume only microwatts to milliwatts of power to operate properly, so energyharvesting technology can meet their power needs.
In the industrial production and daily life, vibration is widely distributed, with high energy density and various forms [12]. Especially in implantable structures, vibration energy can be converted into electric energy, providing a stable power supply for MEMS devices. Compared with other types of vibration energyharvesting methods (electromagnetic [13] and electrostatic [14]), piezoelectric vibration energy harvesting has significant advantages in terms of structural size, material properties, output power, and stability and can be an ideal power supply solution for MEMS devices [15].
Between the piezoceramic and load, an interface is needed to extract as much electricity as possible from the piezoceramic and rectify the unstable AC current. The most basic energyharvesting circuit is called the standard energyharvesting (SEH) circuit, composed of a rectifier bridge, a filter capacitor, and a load resistor. Guyomar et al. [16] and Lefeuvre et al. [17] proposed a nonlinear technique named “synchronized switch harvesting on inductor (SSHI)” and “synchronous electric charge extraction (SECE),” significantly increasing the output power. Under the same displacement excitation, SSHI can increase the harvested power by 9 times, compared to SEH. Nonlinear techniques applied to the resonant mode or pulse mode make the harvesting device smaller and the coupling coefficient lower. The SECE technology combines the nonlinear technology with a DCDC converter structure to enable energy extraction 4 times higher than the SEH technology, and energy extraction is independent of load resistance or output voltage [18]. Lallart et al. [19, 20] proposed the double synchronized switch harvesting (DSSH), which consists of two parts: the series inductor and the buckboost converter. After theoretical analysis and experimental verification, the output power of the circuit is independent of the load and the power is increased by 5 times, compared to SEH circuit. Wu et al. [21] simplified the optimized synchronous electric charge extraction (OSECE) and replaced the rectifier bridge with a flyback transformer with two primary windings connected to the piezoceramic. The circuit retains the advantages of the SECE circuit and further improves the extraction efficiency. Zhang et al. [22, 23] proposed an Ericsson energy extraction technology for bulk piezoelectric ceramics which can significantly increase the energy output power and applied it to ocean wave power generation. Lefeuvre et al. [24] proposed phaseshifted synchronous electric charge extraction (PSSECE) to control the phaseshift phase angle using the maximum power point tracking algorithm. Under the electromechanical coupling conditions, the energy extraction efficiency can be significantly improved, and the frequency bandwidth is greatly increased. Under high electromechanical coupling conditions, the maximum power of the PSSECE circuit can be about twice that of a conventional SECE circuit. In the selfpowered system, the acquisition of energy is critical. Some researchers theoretically study the efficiency of energy collection under different excitations [2], improve the electromechanical coupling [25], and examine how to collect energy with wider frequency and wider vibration [26]. Zhang et al. [27] proposed a vehiclebridge coupling platform to study and experiment the energy extraction of piezoelectric ceramics under different positions and vehicle conditions, which provided a theoretical reference for the layout of the energy extraction module on the bridge healthmonitoring sensor network. Su et al. [28] proposed a set of steel corrosionmonitoring devices that use piezoelectric energy harvesting to provide selfpower supply, which can automatically predict the corrosion process and take appropriate mitigation measures based on the data information to extend the service life and improve the building safety factor. Through the above analysis and conclusion, we can see that the highefficiency piezoelectric energyharvesting circuit can fully extract the electrical energy generated by the piezoelectric ceramic and greatly increase the energy output power [29]. Therefore, the piezoelectric energyharvesting technology has great application prospects in selfpowered devices such as wireless sensing, structural health monitoring, and corrosion damage prediction.
In order to make the selfpowered circuit easy to build and easy to integrate with the sensor and comprehensively consider the energy extraction capability, we chose the selfpowered optimized synchronized switch harvesting on inductor (SPOSSHI) for the wireless transmission module. The SPOSSHI circuit uses a multiplex method of rectifier circuit and peak detection module. It has the ability to rectify while also enabling charge extraction. In this study, its carrying capacity under various load conditions has been studied and compared with other interface circuits. At the same time, the selection of power management modules for the extracted electrical energy is particularly important. The power management module optimizes systemoperating time, enhances system stability, and optimizes the energy configuration [30]. Based on the above considerations, the use of LTC3588 as a module for power management at the nanowatt level is fully capable. The communication module is a commercial product from TI. Modeling simulation and experiment have been conducted to validate the feasibility of this project.
2. Electromechanical Coupling Model and Interface Circuit Analysis
2.1. Piezoceramic Electromechanical Coupling Model
The piezoelectric energyharvesting devices make use of positive piezoelectric effect to convert mechanical vibration of the base structure into electrical energy. Because of the external stress applied to a piezoceramic, the wall movement induces the electric charges accumulated on both sides of the electrodes.
The establishment of the electromechanical coupling model is to combine the electric factor with the mechanical factor, as shown in Figure 1. The mechanical loss is equivalent to the viscous damper , is the mass, is the equivalent stiffness of the structure, is the external excitation, and is the structural displacement.
2.2. Interface Circuit Analysis
2.2.1. Standard EnergyHarvesting Circuit
The standard energyharvesting (SEH) circuit is composed of a fullbridge rectifier and a filter capacitor in parallel. The fullbridge rectifier converts the alternating current generated by the piezoceramic into a direct current. The filter capacitor outputs a constant DC supply for the load , as shown in Figure 2.
The rectifier bridge works only if the absolute value, (can be expressed by Equation (1)), on the piezoceramic equivalent capacitor, , exceeds plus the diode threshold. The electric charge will transfer from to the rectifying capacitor, . The output voltage and output power of the SEH circuit can be expressed as follows:where is the energy stored in the equivalent capacitor; thus, is the energy actually flowing into the subsequent collection circuit and used for the load. is the force factor of the piezoceramic, is the vibrational angular velocity of the system, and is the vibration displacement amplitude of the piezoceramic. The optimal load of the SEH circuit can be obtained from Equation (3):
Equations (3) and (4) lead to the maximum output power of the SEH circuit:
2.2.2. Series Synchronized Switch Harvesting on Inductor Circuit
Series synchronized switch harvesting on inductor (SSSHI) connects an inductor and a switch in series between the piezoceramic and the fullbridge rectifier, as shown in Figure 3.
The working principle of the circuit is to close the switch at the amplitude of the mechanical vibration. At these times, a highfrequency oscillating electrical circuit − is established. Its oscillation period τ is much smaller than the mechanical vibration period T. When the oscillating circuit is working for half a cycle, the polarity of the voltage across the piezoceramic will instantly reverse, and the voltage is reversed from to . Losses occur during flipping. Most of the losses are caused by the inductor. The quality factor introduced into the inductor is . The alternating current amplitude of the inductor is inversely proportional to the power supply frequency. The synthetic effect of inductance and frequency is called inductive reactance, and the expression is shown in Equation (6), where is the inductive reactance, is the frequency, and is the inductance. is the ratio of stored energy to energy consumed by the energy storage component, which can be abbreviated as , where is the series resistance. The flipping factor is . The relationship between the absolute value of the voltage across the piezoelectric ceramic and the absolute value of the reversed voltage is expressed as Equation (7):so .
The output voltage and output power of SSSHI can be expressed as follows:
The optimal load of the SSSHI circuit can be obtained from Equation (9):
The corresponding maximum output power is
By comparing Equations (5) and (11), Equation (12) can be obtained:
From Equation (12), when the flipping factor is usually between 0.5 and 0.8, the maximum output power of SSSHI is 3–9 times, compared to SEH. However, in the SSSHI technique, the switch is generally controlled by an external synchronized square wave, which consumes extra power and needs a peak detection technique. To further simplify the auxiliary devices, a selfpowered peak detection circuit is introduced by Lallart and Guyomar [31], Richard et al. [32], and Liang and Liao [33].
2.2.3. SelfPowered Optimized Synchronized Switch Harvesting on Inductor Circuit
The selfpowered optimized synchronized switch harvesting on inductor (SPOSSHI) circuit used in this paper is shown in Figure 4. An improvement was made based on the SSSHI, replacing the switch with two passive peak detection modules, as shown in Figure 5. To realize the onoff of the switch at the maximum and minimum values of the vibration displacement, the peak detection module is composed of an envelope detector, a comparator, and a switch.
The working principle of the passive peak detection module is as follows: resistor , diode , and capacitor form an envelope detector to detect the voltage signal of the piezoceramic. When the piezoceramic voltage rises, it charges the capacitor . At this time, the transistors and are blocked; will ensure that the baseemitter voltages of and do not interfere with the envelope detector and capacitor ; when the difference between the input voltage and the voltage of the capacitor is larger than the threshold voltage of , the transistor turns on. The capacitor discharges through , , and . Therefore, turns on. The capacitor discharges through and , which is the energy extraction process.
In the positive half cycle of the piezoceramic output voltage signal, the circuit can be divided into the following four working phases.(1)Stage I: Circuit Charge Stage. The voltage of the piezoceramic increases as the positive displacement increases. The capacitors , , and begin to charge. The voltage across the capacitor increases, and all transistors in the circuit are blocked. When the displacement of the piezoceramic reaches a maximum value, the voltage across the capacitors , , and also reaches a maximum value. The current flows as follows: and .(2)Stage II: Voltage Reversal Stage. As the displacement of the piezoceramic starts to reverse, the voltage on the capacitor decreases. When the difference between the input voltage and the voltage of the capacitor is greater than the threshold voltage of , the transistor turns on. The capacitor discharges through , , , , , , and . Therefore, conducts. and constitute an oscillation circuit through , , , and so that the voltage across the piezoceramic is rapidly reversed. The current flows as follows: and _{.}(3)Stage III: Inductor Freewheeling Stage. After the voltage reversal across the piezoceramic is completed, the transistor is blocked. Inductor L transfers energy to capacitors , , and through diodes and transistor to supplement the capacitive dissipation voltage. The current flows as follows: .(4)Stage IV: Charge Neutralization Stage. When the charge in the inductor is completely transferred to the capacitor, the transistors and are blocked. Capacitor has not discharged yet, and the extra charge in will flow into and until the three voltages are the same. The current flows as follows: . Positive halfcycle energy extraction is completed. Negative halfcycle energy extraction is performed in a similar way.
3. Simulation Analysis
The proposed SPOSSHI circuit is modeled and simulated in Simulink, and the circuit simulation waveforms are obtained. Figure 6 is the simulation waveform of the output voltage . Figure 7 is the current waveform of the inductor . The first flip corresponds to Stage II (voltage reversal stage) in the SPOSSHI circuit, and the second flip corresponds to Stage III (inductor freewheeling stage). As shown in Figure 6, the output voltage of the piezoceramic is reversed after the peak. This is because the voltage drop of the threshold voltage of the diode and the transistor in the passive peak detection module leads to a certain phase lag between the system peak voltage and the actual switching time. After the reverse phase of the voltage, the vibration displacement continues to move to the negative direction, and the voltage of the piezoceramic also drops to the reverse peak. The peak detection module works again, and the similar process is repeated. From the above process, it is easy to see that the switch conducts two times in each vibration cycle. The switch conducts at the positive and negative values of the vibration displacement, respectively. At this point, the inductor and capacitor constitute − oscillating circuit. After onefourth of the oscillation period, the energy in the capacitor is completely transferred to the inductor . As shown in Figure 7, the current in the inductor rapidly increases from zero to the maximum and decreases to zero, that is, the first flipping; then the inductor will continue to discharge current, that is, the second flipping.
In this paper, the inductor characteristics have been analyzed in detail. The actual inductor can be simulated as 4 passive ideal components: series inductor (), series resistor (), shunt capacitor (), and parallel resistor (). The equivalent model of the inductor is shown in Figure 8. is a DC resistance, which is the resistance measured when the DC current is applied to the inductor. is the loss of the magnetic core. is the distributed capacitance between the inductor inner coil and the lead terminal. To simulate the power output of the circuit under different inductor values, is ignored during simulation. is set to 1 nF by default, , and the load resistance is R = 50 kΩ. The relationship between the inductor parameters and the power output is shown in Figure 9. The optimal inductor value appears at 20–24 mH.
To illustrate the performance of different interface circuits regarding energy extraction efficiency, the output power of the three circuits under different loads is compared, as shown in Figure 10. The simulation results show that the output power and output efficiency of the SSHI circuit are much better than those of the SEH circuit under the condition of small load (10 kΩ–200 kΩ). As the SSSHI circuit switch is controlled by an external control circuit, whose switch conduction time is controllable, its energy extraction efficiency (excluding the controlled power) is better than that of the SPOSSHI circuit. Since the passive peak detection module exists in the SPOSSHI circuit, the charge accumulated in the detection capacitor in the detection circuit needs to be discharged through the resistor, which not only is difficult to control but also causes energy loss. Therefore, the SPOSSHI circuit is lower in power than the SSSHI circuit. By comparing the maximum output power of the SPOSSHI circuit and the SEH circuit, the result shows that the output power of the SPOSSHI circuit is about 5.8 times that of the SEH circuit.
It is noted that the SSSHI circuit and the SPOSSHI circuit almost have the same energy extraction efficiency in the ideal condition, while the insite application of both of them will be weakened by the electric loss, peak detection, and switch control.
4. Experimental Verification
4.1. Energy Extraction Circuit Verification
In order to verify the above theoretical and simulation analysis, the experimental setup of the SPOSSHI circuit proposed above has been performed, as shown in Figure 11.
Experimental equipment mainly includes the piezoceramic, cantilever beam, noncontact vibrator, laser displacement sensor, SPOSSHI interface circuit, SEH interface circuit, vibration console, and oscilloscope.
The cantilever beam system is shown in Figure 11. A 50 mm × 50 mm × 0.15 mm piezoceramic is attached to the fixed end of the cantilever beam. A noncontact vibrator is arranged above the free end, which is controlled by the vibration console in different frequencies and excitation amplitude. An oscilloscope (ROHDE&SCHWARZ, RTB2004) was used to measure the input and output. The firstorder natural frequency of the system was 18 Hz, and this was used as the excitation frequency. The component parameters used in the SPOSSHI interface circuit are shown in Table 1.

The load voltage and responding power output under different load conditions of the SPOSSHI circuit and the SEH circuit are shown in Figure 12. The experimental verification results show that the simulation and experiment of the output power versus different loads coincide with each other. Mainly due to the voltage drop of the diode and transistor threshold, the energy loss caused by the internal resistance of each component and the quality factor of the inductor leads to the eddy current loss of the inductor itself in the actual circuit. In the lowload region, the output voltage of the piezoceramic is low, and the loss comes from the conduction voltage drop of the diode and the thermal energy loss of each resistive element. In the highload region, the output voltage of the piezoceramic is high, and the energy loss caused by diode and transistor threshold voltage drops is relatively in low percentage, but the energy extraction circuit increases the current in the chargedischarge circuit. The thermal energy loss of the entire circuit resistive element including the internal resistance of the inductor is increased. Comparing the optimal power of the experimental circuit, the output power of the SPOSSHI circuit is about 1.5 times that of the SEH circuit.
The excitation amplitude varies and is validated by the laser displacement sensor (KEYENCE; LKG3000 + LKG30) at the free end (unit in mm): 1.7544, 2.4952, 2.9682, 3.3292, 3.5918, and 3.8152. The power analysis of SPOSSHI and SEH circuits under different excitations is shown in Figure 13. It is easy to find that, under small excitation conditions, the power of the SPOSSHI circuit is not significantly improved compared to that of the SEH circuit. It is mainly because the loss of the components in the SPOSSHI circuit itself is greater than that in the SEH circuit. As the excitation becomes larger, the proportion of the loss of the circuit element itself to the extracted power gradually decreases, and the advantages of the SPOSSHI circuit gradually appear. In the process of changing the peaktopeak excitation from 1.7544 mm to 3.8152 mm, the optimal power ratio of the SPOSSHI circuit to the SEH circuit also increased from 1.24 to 1.95. We can conclude that, with the increase of excitation, the energyharvesting potential of SPOSSHI will gradually show up. Under higher excitation conditions, the energyharvesting efficiency of the SPOSSHI circuit will be much higher than that of the SEH circuit.
4.2. Communication Verification of SelfPowered Wireless Sensor Nodes
To match the energy extraction circuit and the wireless sensor node communication module, a selfpowered wireless sensor node communication network is set up, as shown in Figure 14. Using the above SPOSSHI circuit, the load is replaced with the power management module (Linear Technology; LTC3588). Storage capacitor C_{st} is 2000 μF. The module can provide a stable and adjustable DC voltage supply for wireless sensor nodes. The power management circuit is shown in Figure 15.
In order to balance the energy harvesting and consumption, the power supply voltage is set to 3.3 V, which is fit for the triaxial lowpower accelerometer (Bosch; BMA250) and communication module (Texas Instruments; CC1310). The CC1310 moduleintegrated temperature monitoring sensor collects the ambient temperature data. The temperature and acceleration information are wirelessly transmitted to the CC1310 receiver (gateway sensor node) through the transmitter of CC1310 to complete the wireless transmission of the sensor data signal. The acquired data can be processed in real time on the host computer.
In this experiment, IIC communication is used. The process of sending and receiving bytes is shown in Figure 16.
The communication frequency is set to 433 MHz, and 32 bytes of data are sent through the transmitter. Taking the temperature data as an example, the data are transmitted to the CC1310 receiver, and the data are analyzed in the Code Composer Studio (CCS) integrated development environment (IDE) of the host computer software, and the data format obtained by the software decoding is shown in Figure 17. This wireless sensor node is totally selfpowered with an interval of 30 seconds. After receiving the data, the receiver directly outputs the data to the host PC through the serial port. The power consumed during data acquisition and wireless sensing is shown in Figure 18.
The power loss during wireless transmission is 45 mW, and the working time is 0.4 s. The wireless transmission period is set to 30 s, and the energy verified by the test can meet the transmission requirements.
5. Conclusion
In order to solve the power supply problem of wireless sensor node communication, a selfpowered optimized synchronized switch harvesting on inductor (SPOSSHI) circuit is used to harvest the vibration energy. Comparing and analyzing the power of the SPOSSHI circuit with the power of the representative piezoelectric energyharvesting (PEH) circuit under different load resistance values, both the simulation result and the physical experiment prove that the energyharvesting efficiency of the selfpowered circuit is high and it is available to be used in industrial application. LTC3588 is used as a power management module and a supercapacitor as an energy storage unit to provide a stable power supply, with unlimited electricity income and power supply lifespan. The prototype including transmission modules CC1310 and BMA250 can be further modified according to different application scenarios. In the future study, we will focus on coupling the interface circuit with the load adjustment to further unlock the potential of selfpowered energyharvesting technique. A development board integrated with charge extraction circuit, power management, and transmission module will be designed as well.
Data Availability
The data (parameters and properties and model type) used to support the findings of this study are included within the article.
Conflicts of Interest
The authors declare that they have no conflicts of interest.
Acknowledgments
Grateful acknowledgement is given to the financial support from the National Natural Science Foundation of China (Grant No. 51805298), International Science & Technology Cooperation and Exchang Program of Shaanxi Province, China (No. 2016KW035), Fundamental Research Funds for the Central University (Chang’an University; No. 310832171007), and China Postdoctoral Science Foundation (No. 2015M580587).
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Copyright © 2018 Yuan Dong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.