Wavelet-based power management for hybrid energy storage system
J. Mod. Power Syst. Clean Energy
https://doi.org/10.1007/s40565-019-0529-2
Wavelet-based power management for hybrid energy storage
system
Masoud MASIH-TEHRANI1 , Mohammad Reza HA’IRI YAZDI2,
Vahid ESFAHANIAN2, Masoud DAHMARDEH3 , Hassan NEHZATI4
Abstract A wavelet-based power management system is
proposed in this paper with a combination of the battery
and ultracapacitor (UC) hybrid energy storage system
(HESS). The wavelet filter serves as a frequency-based
filter for distributing the power between the battery and
UC. In order to determine the optimal level of wavelet
decomposition as well as the optimal activation power of
the wavelet controller, an optimization procedure is
established. The proposed frequency-based power management system moderates the usage of battery current,
consequently improving its lifetime. Compared with the
CrossCheck date: 28 February 2019
Received: 14 April 2018 / Accepted: 28 February 2019
The Author(s) 2019
& Masoud DAHMARDEH
conventional threshold-based power management systems,
the proposed system has the advantage of enhanced battery
and UC power management. A LiFePO4 battery is considered and its life loss is modeled. As a case study, an
electric motorcycle is evaluated in the federal test procedure (FTP) driving cycle. Compared with a conventional
energy storage system (ESS) and a state of available power
(SoP) management systems, the results show an improvement for the battery lifetime by 115% and 3%, respectively. The number of battery replacements is increased,
and the energy recovery is improved. The 10-year overall
costs of the proposed HESS strategy using wavelet are
1500 dollars lower, compared with the ESS.
Keywords Wavelet filter, Hybrid energy storage system
(HESS), Power management system, Ultracapacitor (UC),
Lithium life loss model, Battery, Energy storage cost
Masoud MASIH-TEHRANI
1 Introduction
Mohammad Reza HA’IRI YAZDI
Electric vehicles (EVs) have significantly lower mileage
cost, reduced air pollution, less petroleum dependence, and
better performance over conventional internal combustion
engine (ICE) based vehicles [1]. Energy storage system
(ESS) is the key factor in EV performance and reliability
[2] as well as the main limiting factor during their commercialization process [3]. Due to the heavy, costly and
bulky nature of a conventional ESS, EV characteristics,
such as mileage is limited [4]. Although, the benefit of
using EVs over ICE vehicles is clear in terms of fuel
economy and pollution. However, the short service life of
ESS and its replacement costs are the limiting factor for
commercialization of EVs [5]. With the ongoing development of batteries in terms of increasing the capacity while
Vahid ESFAHANIAN
Hassan NEHZATI
1
Vehicle Dynamical Systems Research Laboratory, School of
Automotive Engineering, Iran University of Science and
Technology, Tehran, Iran
2
School of Mechanical Engineering, College of Engineering,
University of Tehran, Tehran, Iran
3
School of Automotive Engineering, Iran University of
Science and Technology, Tehran, Iran
4
Vehicle Fuel and Environment Research Institute, University
of Tehran, Tehran, Iran
123
Masoud MASIH-TEHRANI et al.
reducing costs, EVs are becoming popular [6]. As a result,
more and more efforts are devoted to improve ESS performance [7, 8].
The conventional ESS (battery or ultracapacitor(UC))
has either high energy or high power specifications [9].
Typically, the designer should oversize either the battery or
UC, in order to meet both the energy and power demands
of the EV, which is not practical due to the increase of cost,
size and weight of the system [10]. Therefore, high energy/
power characteristics of the battery/UC are combined to
form a new ESS and provide the demand energy/power of
the vehicle [11]. This provides an ESS with low cost and
high performance while reducing the weight and improving
the battery lifetime [12]. Recently, the idea of coupling
battery and UC as a hybrid energy storage system (HESS)
is proposed in order to moderate current stresses and peaks
of the battery. This enables the designer to employ a
smaller battery at lower cost while improving its lifetime
[10, 13].
The HESS performance is strongly affected by its power
distribution system (PDS) [14, 15]. Various HESS power
distribution strategies are developed in recent years [16],
and this field is getting more and more attention. Besides,
there are limited reports on frequency-based control
strategies. A dynamic programming strategy is developed
in [17] for power distribution between battery and UC. This
strategy develops an optimum controller for a specific
driving cycle and is useful for off-line applications. Simple
controllers such as battery-based [18] and UC-based [19]
power management strategies for HESS are proposed,
which are based on the battery and UC threshold levels
(maximum and minimum power capacities). These controllers are online and show good performance.
A model predictive controller for power management of
a plug-in hybrid EV with a hybrid ESS is designed in [20].
A cascade and adaptive control strategy is proposed for
load compensating of a battery/UC HESS [21]. Adaptive
HESS controller is proposed in [22, 23]. Other power
management strategies are reported in the literature, such
as fuzzy [24], optimal [25], mode decomposition [26],
model predictive [27], dynamic programming [28], and
neural network [29] strategies. Recently, the authors present a method based on the state of available power (SoP)
and predict the power limitations for a given time frame in
the future [30]. It is shown that the battery lifetime is
improved by 2.6 times.
The basic idea of a frequency-based power management
strategy is to moderate the battery current. The UC is
assigned to provide the high frequency portion of the
demand power, while the battery supports the remaining
part. Wavelet filter is a powerful yet simple energy management method employed for different applications. The
use of wavelet in energy management system for fuel cell
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vehicle [31], wind power [32], photovoltaic (PV) system
[33], and wind-PV hybrid power [34] are reported. A frequency-based power management strategy is proposed for
the HESS using Fourier method for a periodic pulsed
current load [35].
This paper presents a new HESS power management
(frequency-based) system to control the battery current
using wavelet filter. A three-level Haar wavelet filter is
employed. As a case study, powertrain modeling of an
electric motorcycle is introduced in the Section 2. Section 3 discusses the HESS design procedure. A lifetime
model for the Lithium iron phosphate (LiFePO4) battery,
UC model, and HESS costs are discussed. Section 4
introduces the HESS power management. At first, a conventional UC-based power management is introduced,
followed by SoP power management system. The waveletbased power management system is discussed afterwards.
Section 5 discusses the principles and tuning of po (...truncated)