You are presented with multiple paper abstracts, alongside the associated literature review and chapter titles. Given the provided information, you are going to do a literature review. Please generate a coherent literature review that synthesizes the content, draws connections between different works, highlights major findings, and identifies any gaps in the existing research.

Literature Review Title: An Overview of Carrier-based Modulation Methods for Z-Source Inverter 
Chapter Title:  ZSI 
1. Abstract of Cited Paper (BIB001):  This paper presents different topologies of voltage inverters with alternative input LC networks. The basic topology is known in the literature as a Z-source inverter (ZSI). Alternative passive networks were named by the authors as T-sources. T-source inverter has fewer reactive components in comparison to conventional Z-source inverter. The most significant advantage of the T-source inverter (TSI) is its use of a common voltage source of the passive arrangement. Experimental results for the TSI are in agreement with theoretical and simulated prediction. 
2. Abstract of Cited Paper (BIB002):  This paper presents a novel dc-dc converter incorporating a distributed impedance-source network (Z-source network, or Z-network) to achieve the buck (step-down) and boost (step-up) function of a transformer-isolated dc-dc converter. In this paper, the distributed impedance source network composed of an array of inductors and capacitors is coupled between power source and main switching devices. The great and unique feature about the distributed impedance source network dc-dc converter is that unlike the traditional V-source or I-source converters, it can be open- and short-circuited without damaging switching devices. Therefore, the desired buck and boost function can be achieved. Moreover, converter reliability can be greatly improved. A dc-dc converter using this proposed concept is built and tested. Its performances are verified with experimental results. 
3. Abstract of Cited Paper (BIB003):  The Z-source inverter has gained popularity as a single-stage buck-boost inverter topology among many researchers. However, its boosting capability could be limited, and therefore, it may not be suitable for some applications requiring very high boost demand of cascading other dc-dc boost converters. This could lose the efficiency and demand more sensing for controlling the added new stages. This paper is proposing a new family of extended-boost quasi Z -source inverter (ZSI) to fill the research gap left in the development of ZSI. These new topologies can be operated with same modulation methods that were developed for original ZSI. Also, they have the same number of active switches as original ZSI preserving the single-stage nature of ZSI. Proposed topologies are analyzed in the steady state and their performances are validated using simulated results obtained in MATLAB/Simulink. Furthermore, they are experimentally validated with results obtained from a prototype developed in the laboratory. 
4. Abstract of Cited Paper (BIB004):  This paper introduces a Y-shaped impedance network for realizing converters that demand a high voltage gain while using a small duty ratio. To achieve that, the proposed network uses a tightly coupled transformer with three windings, whose obtained gain is presently not matched by existing networks operated at the same duty ratio. This capability has been demonstrated by mathematical derivation for the proposed network in comparison with other recently reported networks. To further prove the network performance, a single-switch dc-dc converter has been implemented with the network, before testing it experimentally. The results obtained clearly verify the network performance in addition to its higher power density that can generally be achieved by coupled magnetics.

Literature Review:
Although ZSI has multiple advantages over other voltage buck-boost topologies, there are drawbacks associated with the inverter. The fundamental drawbacks include the discontinuity in the input current during boost mode and the difficulties in suppressing the inrush current by the impedance network during start-up. The topological configuration of the inverter has been modified to ameliorate these drawbacks. Some of the developed topologies are quasi-ZSI  , embedded ZSI , improved ZSI BIB001 ), trans-Z-source  , distributed Z-source BIB003 , extended boost ZSI BIB004 , T-source BIB002 ) and Y-source BIB005 . Nevertheless, the topology includes a combination of inductors and capacitors for the different configurations and the modulation method for inverter switching remains the same. Therefore, in this article, the basic ZSI is considered for the two-level and three-level networks.